{H[{0, 0}, 1] -> 0, H[{3, 0}, 1] -> Pi/(3*Sqrt[3]), 
 H[{6, 0}, 1] -> (2*Pi)/(3*Sqrt[3]), H[{6, 1}, 1] -> Pi/(3*Sqrt[3]), 
 H[{1, 0}, {2, 0}, 1] -> Pi^2/12 + H[{1, 0}, 1]*H[{2, 0}, 1] - 
   H[{2, 0}, 1]^2/2, H[{1, 0}, {3, 0}, 1] -> 
  -Pi^2/54 + (Pi*H[{1, 0}, 1])/(3*Sqrt[3]) - (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1], H[{1, 0}, {3, 1}, 1] -> 
  (2*Pi^2)/27 + H[{1, 0}, 1]*H[{3, 1}, 1] - H[{3, 1}, 1]^2/2 + 
   H[{3, 0}, {0, 0}, 1]/2, H[{1, 0}, {6, 0}, 1] -> 
  (2*Pi*H[{1, 0}, 1])/(3*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {6, 1}, 1] -> Pi^2/36 + (Pi*H[{1, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1])/4, H[{2, 0}, {2, 0}, 1] -> H[{2, 0}, 1]^2/2, 
 H[{2, 0}, {3, 0}, 1] -> (Pi*H[{2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]/4, H[{2, 0}, {3, 1}, 1] -> 
  H[{2, 0}, 1]*H[{3, 1}, 1] - H[{3, 1}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, 1] -> -Pi^2/27 + (2*Pi*H[{2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1])/(3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]/4, 
 H[{2, 0}, {6, 1}, 1] -> (-5*Pi^2)/108 + (Pi*H[{2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]/4 + 
   H[{3, 1}, {2, 0}, 1], H[{3, 0}, {3, 0}, 1] -> Pi^2/54, 
 H[{3, 0}, {3, 1}, 1] -> Pi^2/108 + (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]/4, H[{3, 0}, {6, 0}, 1] -> 
  Pi^2/54 + (Pi*H[{2, 0}, 1])/(9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, 1])/3 + 
   H[{3, 0}, {0, 0}, 1]/12 - (2*H[{3, 1}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, 1] -> Pi^2/108 + (5*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1])/3 + (11*H[{3, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]/3, H[{3, 1}, {3, 1}, 1] -> H[{3, 1}, 1]^2/2, 
 H[{3, 1}, {6, 0}, 1] -> Pi^2/36 - (5*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1])/(3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1])/12 + H[{3, 1}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, 1] -> (-4*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, 1])/12 - H[{3, 1}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, 1] -> (2*Pi^2)/27, H[{6, 0}, {6, 1}, 1] -> 
  (2*Pi^2)/27 + (2*Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + H[{3, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 1}, 1] -> Pi^2/54, H[{0, 0}, {1, 0}, 1] -> -Pi^2/6, 
 H[{0, 0}, {2, 0}, 1] -> Pi^2/12, H[{0, 0}, {3, 0}, 1] -> 
  -H[{3, 0}, {0, 0}, 1], H[{0, 0}, {3, 1}, 1] -> 
  Pi^2/18 + H[{3, 0}, {0, 0}, 1]/2, H[{0, 0}, {6, 0}, 1] -> 
  (-3*H[{3, 0}, {0, 0}, 1])/2, H[{0, 0}, {6, 1}, 1] -> 
  -Pi^2/36 - (3*H[{3, 0}, {0, 0}, 1])/4, H[{0, 0}, {0, 0}, 1] -> 0, 
 H[{1, 0}, {0, 0}, 1] -> Pi^2/6, H[{1, 0}, {1, 0}, 1] -> 
  -Pi^2/12 + H[{1, 0}, 1]^2/2, H[{2, 0}, {0, 0}, 1] -> -Pi^2/12, 
 H[{2, 0}, {1, 0}, 1] -> -Pi^2/12 + H[{2, 0}, 1]^2/2, 
 H[{3, 0}, {1, 0}, 1] -> Pi^2/54 + (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1], H[{3, 0}, {2, 0}, 1] -> -H[{3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {0, 0}, 1] -> -Pi^2/18 - H[{3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, 1] -> (-2*Pi^2)/27 + H[{3, 1}, 1]^2/2 - 
   H[{3, 0}, {0, 0}, 1]/2, H[{3, 1}, {3, 0}, 1] -> 
  -Pi^2/108 - H[{3, 0}, {0, 0}, 1]/4, H[{6, 0}, {0, 0}, 1] -> 
  (3*H[{3, 0}, {0, 0}, 1])/2, H[{6, 0}, {1, 0}, 1] -> 
  (3*H[{3, 0}, {0, 0}, 1])/2, H[{6, 0}, {2, 0}, 1] -> 
  Pi^2/27 + (2*Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + H[{3, 0}, {0, 0}, 1]/4, 
 H[{6, 0}, {3, 0}, 1] -> Pi^2/18 - (Pi*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - H[{3, 0}, {0, 0}, 1]/12 + 
   (2*H[{3, 1}, {2, 0}, 1])/3, H[{6, 0}, {3, 1}, 1] -> 
  -Pi^2/36 + (5*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1])/
    3 + (5*H[{3, 0}, {0, 0}, 1])/12 - H[{3, 1}, {2, 0}, 1]/3, 
 H[{6, 1}, {0, 0}, 1] -> Pi^2/36 + (3*H[{3, 0}, {0, 0}, 1])/4, 
 H[{6, 1}, {1, 0}, 1] -> -Pi^2/36 + (3*H[{3, 0}, {0, 0}, 1])/4, 
 H[{6, 1}, {2, 0}, 1] -> (5*Pi^2)/108 + (Pi*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]/4 - H[{3, 1}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, 1] -> Pi^2/36 - (5*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1])/3 - (11*H[{3, 0}, {0, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]/3, H[{6, 1}, {3, 1}, 1] -> 
  (4*Pi*H[{2, 0}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, 1])/12 + H[{3, 1}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 0}, 1] -> (-2*Pi*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1], H[{1, 0}, {1, 0}, {2, 0}, 1] -> 
  (Pi^2*H[{1, 0}, 1])/12 - (Pi^2*H[{2, 0}, 1])/6 + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1])/2 - (H[{1, 0}, 1]*H[{2, 0}, 1]^2)/2 + 
   H[{2, 0}, 1]^3/6 - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {1, 0}, {3, 0}, 1] -> -Pi^3/(324*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1])/54 + (Pi*H[{1, 0}, 1]^2)/(6*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 - (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] + H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{1, 0}, {1, 0}, {3, 1}, 1] -> 
  (-23*Pi^3)/(972*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1])/27 - 
   (17*Pi^2*H[{3, 1}, 1])/108 + (H[{1, 0}, 1]^2*H[{3, 1}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^2)/2 + H[{3, 1}, 1]^3/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {1, 0}, {6, 0}, 1] -> 
  (Pi*H[{1, 0}, 1]^2)/(3*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 1}, 1] -> (Pi^2*H[{1, 0}, 1])/36 + 
   (Pi*H[{1, 0}, 1]^2)/(6*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/3 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{1, 0}, {2, 0}, {1, 0}, 1] -> 
  -(Pi^2*H[{1, 0}, 1])/12 + (Pi^2*H[{2, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2)/2 - H[{2, 0}, 1]^3/3 + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, H[{1, 0}, {2, 0}, {2, 0}, 1] -> 
  (Pi^2*H[{2, 0}, 1])/12 + (H[{1, 0}, 1]*H[{2, 0}, 1]^2)/2 - 
   H[{2, 0}, 1]^3/3 + H[{1, 0}, {0, 0}, {0, 0}, 1]/8, 
 H[{1, 0}, {2, 0}, {3, 0}, 1] -> Pi^3/(72*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/54 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 1}, 1] -> -Pi^3/(144*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/27 + H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1] - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1] + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    2 + (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - H[{3, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - H[{3, 1}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {6, 0}, 1] -> Pi^3/(54*Sqrt[3]) - (Pi^2*H[{1, 0}, 1])/27 + 
   (Pi^2*H[{2, 0}, 1])/27 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {6, 1}, 1] -> (5*Pi^3)/(216*Sqrt[3]) - 
   (5*Pi^2*H[{1, 0}, 1])/108 + (2*Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/18 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - (11*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + (91*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {0, 0}, 1] -> -(Pi^2*H[{1, 0}, 1])/12 + 
   (Pi^2*H[{2, 0}, 1])/4 + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {3, 0}, {1, 0}, 1] -> (-4*Pi^3)/(81*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/54 - (Pi^2*H[{3, 1}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {1, 0}, 1], H[{1, 0}, {3, 0}, {2, 0}, 1] -> 
  Pi^3/(72*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {3, 0}, 1] -> -Pi^3/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/54 - (Pi^2*H[{3, 1}, 1])/54 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + H[{1, 0}, {0, 0}, {0, 0}, 1]/27, 
 H[{1, 0}, {3, 0}, {3, 1}, 1] -> -Pi^3/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/108 - (Pi^2*H[{3, 1}, 1])/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/
    54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {3, 0}, {6, 0}, 1] -> 
  -Pi^3/(162*Sqrt[3]) + (Pi^2*H[{1, 0}, 1])/54 + (4*Pi^2*H[{2, 0}, 1])/81 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 1}, 1] -> (-65*Pi^3)/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/108 + (5*Pi^2*H[{2, 0}, 1])/324 + 
   (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/108 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    4 - (5*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{1, 0}, {3, 0}, {0, 0}, 1] -> 
  -Pi^3/(54*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] - H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{1, 0}, {3, 1}, {1, 0}, 1] -> 
  (23*Pi^3)/(486*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1])/27 + 
   (4*Pi^2*H[{3, 1}, 1])/27 + (H[{1, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   H[{3, 1}, 1]^3/3 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{1, 0}, {3, 1}, {2, 0}, 1] -> 
  Pi^3/(144*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 + (Pi^2*H[{3, 1}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (48*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1] - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    2 - (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + H[{3, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - H[{3, 1}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {3, 1}, {3, 0}, 1] -> (5*Pi^3)/(162*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1])/108 + (Pi^2*H[{3, 1}, 1])/108 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/54 + 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {3, 1}, {3, 1}, 1] -> 
  -Pi^3/(486*Sqrt[3]) + (2*Pi^2*H[{3, 1}, 1])/27 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^2)/2 - H[{3, 1}, 1]^3/3 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    54 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {3, 1}, {6, 0}, 1] -> 
  (41*Pi^3)/(1296*Sqrt[3]) + (Pi^2*H[{1, 0}, 1])/36 - 
   (5*Pi^2*H[{2, 0}, 1])/324 - (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/36 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (3*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    16 + H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - (11*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 - H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 1}, 1] -> (19*Pi^3)/(432*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1])/324 - (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/
    (9*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/36 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (95*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (161*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/12 - (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{1, 0}, {3, 1}, {0, 0}, 1] -> 
  (5*Pi^3)/(108*Sqrt[3]) - (Pi^2*H[{1, 0}, 1])/18 + (2*Pi^2*H[{3, 1}, 1])/9 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    6 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {6, 0}, {1, 0}, 1] -> 
  -Pi^3/(9*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, 1] - 2*H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, 1] -> Pi^3/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1])/27 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{1, 0}, {6, 0}, {3, 0}, 1] -> 
  -Pi^3/(324*Sqrt[3]) + (Pi^2*H[{1, 0}, 1])/18 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (17*Pi*H[{3, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) - (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 0}, {3, 1}, 1] -> Pi^3/(432*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1])/36 - (Pi^2*H[{2, 0}, 1])/108 + 
   (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    12 + (7*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + (19*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 0}, 1] -> (2*Pi^2*H[{1, 0}, 1])/27 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{1, 0}, {6, 0}, {6, 1}, 1] -> (-17*Pi^3)/(324*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1])/27 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] - (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    2 - (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{1, 0}, {6, 0}, {0, 0}, 1] -> 
  -Pi^3/(54*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 1}, {1, 0}, 1] -> -Pi^3/(18*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1])/36 + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (2*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{1, 0}, {6, 1}, {2, 0}, 1] -> 
  Pi^3/(216*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1])/108 - (Pi^2*H[{3, 1}, 1])/18 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/
    (8*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1] - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 0}, 1] -> (77*Pi^3)/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/36 + (Pi^2*H[{2, 0}, 1])/108 - 
   (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    12 - (55*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (3*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    16 + (11*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    12 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{1, 0}, {6, 1}, {3, 1}, 1] -> 
  (-41*Pi^3)/(1296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/108 + 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    12 - (Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/12 + (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 1}, {6, 0}, 1] -> (23*Pi^3)/(324*Sqrt[3]) - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] + (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    2 + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{1, 0}, {6, 1}, {6, 1}, 1] -> 
  Pi^3/(108*Sqrt[3]) + (Pi^2*H[{1, 0}, 1])/54 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {6, 1}, {0, 0}, 1] -> -Pi^3/(108*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/36 + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {0, 0}, {1, 0}, 1] -> -(Pi^2*H[{1, 0}, 1])/6 + 
   2*H[{1, 0}, {0, 0}, {0, 0}, 1], H[{1, 0}, {0, 0}, {2, 0}, 1] -> 
  (Pi^2*H[{1, 0}, 1])/12 - (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {0, 0}, {3, 0}, 1] -> Pi^3/(18*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 1}, 1] -> -Pi^3/(36*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1])/18 - (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{1, 0}, {0, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{1, 0}, {0, 0}, {6, 0}, 1] -> 
  (2*Pi^3)/(27*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 1}, 1] -> Pi^3/(27*Sqrt[3]) - (Pi^2*H[{1, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {2, 0}, 1] -> -(Pi^2*H[{2, 0}, 1])/12 + H[{2, 0}, 1]^3/6 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/4, H[{2, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^3/(36*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 1}, 1] -> (2*Pi^2*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{3, 1}, 1])/12 + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1], H[{2, 0}, {1, 0}, {6, 0}, 1] -> 
  -Pi^3/(27*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{2, 0}, {1, 0}, {6, 1}, 1] -> 
  -Pi^3/(36*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1])/108 + 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (7*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, 1], H[{2, 0}, {2, 0}, {2, 0}, 1] -> 
  H[{2, 0}, 1]^3/6, H[{2, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^3/(108*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{2, 0}, {2, 0}, {3, 1}, 1] -> 
  (H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{2, 0}, {2, 0}, {6, 0}, 1] -> 
  (5*Pi^3)/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{2, 0}, {2, 0}, {6, 1}, 1] -> 
  (11*Pi^3)/(1296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/12 + 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + (5*Pi^2*H[{3, 1}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/16 - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    2 + (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/2, H[{2, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^3/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    4 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{2, 0}, {3, 0}, {2, 0}, 1] -> 
  -Pi^3/(54*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {3, 0}, 1] -> (Pi^2*H[{2, 0}, 1])/54 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{2, 0}, {3, 0}, {3, 1}, 1] -> (Pi^2*H[{2, 0}, 1])/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {6, 0}, 1] -> Pi^3/(81*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (2*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    108 + H[{3, 0}, {0, 0}, {1, 0}, 1] + (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {3, 0}, {6, 1}, 1] -> 
  Pi^3/(108*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    3 - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {3, 0}, {0, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{2, 0}, {3, 1}, {1, 0}, 1] -> 
  Pi^3/(144*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/9 + (Pi^2*H[{3, 1}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (48*Sqrt[3]) - (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    48 + H[{3, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/2, H[{2, 0}, {3, 1}, {2, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 0}, 1] -> (-5*Pi^3)/(216*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/108 + (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 1}, 1] -> Pi^3/(144*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/27 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    48 - H[{3, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 1}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{2, 0}, {3, 1}, {6, 0}, 1] -> 
  -Pi^3/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - 
   (5*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    Sqrt[3] - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {3, 1}, {6, 1}, 1] -> 
  Pi^3/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 - (4*Pi*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {3, 1}, {0, 0}, 1] -> 
  -(Pi^2*H[{2, 0}, 1])/18 - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{2, 0}, {6, 0}, {1, 0}, 1] -> 
  Pi^3/(54*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{2, 0}, {6, 0}, {2, 0}, 1] -> 
  (-5*Pi^3)/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - 
   (2*Pi^2*H[{3, 1}, 1])/27 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, 1], H[{2, 0}, {6, 0}, {3, 0}, 1] -> 
  (-5*Pi^3)/(324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/18 - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/18 - H[{3, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {6, 0}, {3, 1}, 1] -> 
  (17*Pi^3)/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/81 + 
   (5*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + (4*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{2, 0}, {6, 0}, {6, 0}, 1] -> 
  -Pi^3/(81*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/27 - (2*Pi^2*H[{3, 1}, 1])/27 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{2, 0}, {6, 0}, {6, 1}, 1] -> (-17*Pi^3)/(648*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1])/27 - (Pi^2*H[{3, 1}, 1])/9 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (5*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, 1] -> -Pi^3/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {1, 0}, 1] -> Pi^3/(216*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/36 - (Pi^2*H[{3, 1}, 1])/18 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + H[{3, 1}, {2, 0}, {2, 0}, 1], H[{2, 0}, {6, 1}, {2, 0}, 1] -> 
  (-11*Pi^3)/(648*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1])/108 - 
   (5*Pi^2*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1], H[{2, 0}, {6, 1}, {3, 0}, 1] -> 
  Pi^3/(648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/81 - (5*Pi*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/3 + (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{2, 0}, {6, 1}, {3, 1}, 1] -> 
  (7*Pi^3)/(648*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1])/324 + 
   (4*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + (17*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - (4*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{2, 0}, {6, 1}, {6, 0}, 1] -> 
  -Pi^3/(324*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{2, 0}, {6, 1}, {6, 1}, 1] -> 
  -Pi^3/(48*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/18 - (7*Pi^2*H[{3, 1}, 1])/108 - 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/
    16 + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - (23*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    4 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 1}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{2, 0}, {6, 1}, {0, 0}, 1] -> 
  (-5*Pi^3)/(216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 - (Pi^2*H[{3, 1}, 1])/9 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (35*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {0, 0}, {2, 0}, 1] -> (Pi^2*H[{2, 0}, 1])/12 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/4, H[{2, 0}, {0, 0}, {3, 0}, 1] -> 
  -Pi^3/(36*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, 1], H[{2, 0}, {0, 0}, {3, 1}, 1] -> 
  Pi^3/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/18 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    2 - (19*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    2, H[{2, 0}, {0, 0}, {6, 0}, 1] -> -Pi^3/(54*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{2, 0}, {0, 0}, {6, 1}, 1] -> 
  -Pi^3/(108*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/36 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (8*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (47*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{3, 0}, {1, 0}, {3, 0}, 1] -> 
  (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - (2*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{3, 0}, {1, 0}, {3, 1}, 1] -> -Pi^3/(324*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 + (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + H[{1, 0}, {0, 0}, {0, 0}, 1]/27 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 0}, {1, 0}, {6, 0}, 1] -> 
  Pi^3/(108*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1])/81 + (Pi^2*H[{3, 1}, 1])/54 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/36 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{3, 0}, {1, 0}, {6, 1}, 1] -> 
  (-2*Pi^2*H[{2, 0}, 1])/81 + (Pi^2*H[{3, 1}, 1])/108 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{3, 0}, {2, 0}, {3, 0}, 1] -> 
  (7*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18, H[{3, 0}, {2, 0}, {3, 1}, 1] -> 
  (5*Pi^3)/(216*Sqrt[3]) - (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4, 
 H[{3, 0}, {2, 0}, {6, 0}, 1] -> -Pi^3/(108*Sqrt[3]) + 
   (4*Pi^2*H[{2, 0}, 1])/81 - (Pi^2*H[{3, 1}, 1])/54 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (23*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{3, 0}, {2, 0}, {6, 1}, 1] -> 
  (-17*Pi^3)/(648*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{3, 1}, 1])/108 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/
    8 + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (101*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    3 - (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 0}, {3, 0}, 1] -> Pi^3/(486*Sqrt[3]), 
 H[{3, 0}, {3, 0}, {3, 1}, 1] -> Pi^3/(486*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 - (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{3, 0}, {3, 0}, {6, 0}, 1] -> 
  (-5*Pi^3)/(972*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - H[{3, 0}, {0, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {6, 1}, 1] -> -Pi^3/(972*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1])/81 - (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    6 + (Pi*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {1, 0}, 1] -> Pi^3/(162*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/108 + (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/54 + 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 0}, {3, 1}, {2, 0}, 1] -> 
  (-5*Pi^3)/(216*Sqrt[3]) + (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {3, 0}, 1] -> -Pi^3/(972*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (14*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{3, 0}, {3, 1}, {3, 1}, 1] -> 
  (11*Pi^3)/(972*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/108 + 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 0}, {3, 1}, {6, 0}, 1] -> 
  (5*Pi^3)/(486*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + (19*Pi*H[{3, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (179*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {6, 1}, 1] -> (-23*Pi^3)/(1944*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/27 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (37*Pi*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (137*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {0, 0}, 1] -> Pi^3/(324*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 0}, {6, 0}, {1, 0}, 1] -> 
  -Pi^3/(324*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, 1] -> -Pi^3/(324*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1])/162 + (Pi^2*H[{3, 1}, 1])/54 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/18 - H[{3, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{3, 0}, {6, 0}, {3, 0}, 1] -> 
  (4*Pi^3)/(243*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, 1] -> (-2*Pi^3)/(243*Sqrt[3]) + 
   (7*Pi^2*H[{2, 0}, 1])/162 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (115*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + H[{3, 0}, {0, 0}, {2, 0}, 1]/
    6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 0}, {6, 0}, 1] -> (11*Pi^3)/(972*Sqrt[3]) + 
   (4*Pi^2*H[{2, 0}, 1])/81 - (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (8*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + H[{3, 0}, {0, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{3, 0}, {6, 0}, {6, 1}, 1] -> (4*Pi^3)/(243*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1])/324 - (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (2*Pi*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/4 + (13*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + (5*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, 1] -> -(Pi^2*H[{2, 0}, 1])/18 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{3, 0}, {6, 1}, {1, 0}, 1] -> (65*Pi^3)/(1296*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/108 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - (19*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) + (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (3*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    16 + (11*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    12 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 0}, {6, 1}, {2, 0}, 1] -> 
  (11*Pi^3)/(648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1])/324 + 
   (Pi^2*H[{3, 1}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (5*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/3 + (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 0}, {6, 1}, {3, 0}, 1] -> 
  (5*Pi^3)/(972*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, 1] -> (83*Pi^3)/(3888*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/81 + (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (16*Sqrt[3]) + (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (227*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 + (2*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 0}, {6, 1}, {6, 0}, 1] -> 
  -Pi^3/(486*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1])/108 - 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/54 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {6, 1}, 1] -> (17*Pi^3)/(972*Sqrt[3]) + 
   (4*Pi^2*H[{2, 0}, 1])/81 + (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (Pi*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {0, 0}, 1] -> (43*Pi^3)/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/36 - (11*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 0}, {0, 0}, {3, 0}, 1] -> 
  (2*Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - (26*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{3, 0}, {0, 0}, {3, 1}, 1] -> (2*Pi^3)/(81*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 + H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 0}, {0, 0}, {6, 0}, 1] -> 
  (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18, H[{3, 0}, {0, 0}, {6, 1}, 1] -> 
  (-19*Pi^3)/(648*Sqrt[3]) + (13*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 1}, {1, 0}, {3, 1}, 1] -> 
  Pi^3/(243*Sqrt[3]) - (2*Pi^2*H[{3, 1}, 1])/27 + H[{3, 1}, 1]^3/6 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 + H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 1}, {1, 0}, {6, 0}, 1] -> 
  (-11*Pi^3)/(324*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{3, 1}, 1])/36 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - (23*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {6, 1}, 1] -> -Pi^3/(81*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1])/81 + (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (2*Pi*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (77*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {3, 1}, 1] -> -Pi^3/(72*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1])/27 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {2, 0}, {2, 0}, 1], H[{3, 1}, {2, 0}, {6, 0}, 1] -> 
  (-5*Pi^3)/(216*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/81 - 
   (7*Pi^2*H[{3, 1}, 1])/108 - (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (11*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (55*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 - (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 1}, {2, 0}, {6, 1}, 1] -> 
  (-11*Pi^3)/(648*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1])/81 - 
   (5*Pi^2*H[{3, 1}, 1])/108 - (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (8*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + (7*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + (143*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    108 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - (8*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {3, 1}, 1] -> (-11*Pi^3)/(486*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/108 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 1}, {3, 0}, {6, 0}, 1] -> 
  -Pi^3/(486*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1])/162 + 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (8*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{3, 1}, {3, 0}, {6, 1}, 1] -> 
  (-37*Pi^3)/(3888*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - (11*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (47*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 - H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{3, 1}, {3, 1}, {3, 1}, 1] -> 
  H[{3, 1}, 1]^3/6, H[{3, 1}, {3, 1}, {6, 0}, 1] -> 
  (7*Pi^3)/(3888*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 1}, 1] -> (47*Pi^3)/(3888*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/54 + (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (35*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{3, 1}, {6, 0}, {1, 0}, 1] -> 
  Pi^3/(432*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/108 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 + (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) - (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + (19*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {2, 0}, 1] -> (17*Pi^3)/(648*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1])/324 + (7*Pi^2*H[{3, 1}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + (2*Pi*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + (4*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 1}, {6, 0}, {3, 0}, 1] -> 
  Pi^3/(972*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/54 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/18 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (115*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + H[{3, 0}, {0, 0}, {2, 0}, 1]/
    6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 0}, {3, 1}, 1] -> (-7*Pi^3)/(1944*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 + (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {6, 0}, 1] -> (5*Pi^3)/(972*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1])/324 + (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1])/27 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (4*Pi*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/4 + H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{3, 1}, {6, 0}, {6, 1}, 1] -> 
  (-37*Pi^3)/(1944*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (11*Pi^2*H[{3, 1}, 1])/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (11*Pi*H[{3, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (8*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + H[{3, 0}, {0, 0}, {2, 0}, 1]/
    6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{3, 1}, {6, 0}, {0, 0}, 1] -> 
  (-13*Pi^3)/(648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + (3*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 1}, {6, 1}, {1, 0}, 1] -> 
  (-41*Pi^3)/(1296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/108 - 
   (Pi^2*H[{3, 1}, 1])/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) - (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/12 + (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {2, 0}, 1] -> (7*Pi^3)/(648*Sqrt[3]) - 
   (41*Pi^2*H[{2, 0}, 1])/324 + (5*Pi^2*H[{3, 1}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (17*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, 1] -> (83*Pi^3)/(3888*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/27 + (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (91*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (227*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 + (2*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{3, 1}, {6, 1}, {3, 1}, 1] -> 
  (-47*Pi^3)/(1944*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (35*Pi*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - (2*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    3 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 0}, 1] -> (11*Pi^3)/(1944*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1])/108 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/36 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - (17*Pi*H[{3, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    216 - H[{3, 0}, {0, 0}, {1, 0}, 1]/3 + (5*H[{3, 0}, {2, 0}, {0, 0}, 1])/
    6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {6, 1}, 1] -> (-13*Pi^3)/(972*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1])/324 - (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (77*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, H[{3, 1}, {6, 1}, {0, 0}, 1] -> 
  (-25*Pi^3)/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{3, 1}, 1])/36 + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{3, 1}, {0, 0}, {3, 1}, 1] -> -Pi^3/(162*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/18 + (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 1}, {0, 0}, {6, 0}, 1] -> 
  (-5*Pi^3)/(216*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {6, 1}, 1] -> -Pi^3/(648*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/36 - (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/
    12 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 0}, {1, 0}, {6, 0}, 1] -> 
  -(Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + (26*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{6, 0}, {1, 0}, {6, 1}, 1] -> 
  -(Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 0}, 1] -> (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18, H[{6, 0}, {2, 0}, {6, 1}, 1] -> 
  -Pi^3/(648*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/27 + 
   (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    4 - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 0}, 1] -> (-5*Pi^3)/(486*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1])/27 + (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 + (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, 1] -> (-2*Pi^3)/(243*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/27 + (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (5*Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 0}, 1] -> (2*Pi^3)/(243*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/54 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 1}, 1] -> (13*Pi^3)/(972*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/36 + (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    3 + (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (19*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - (7*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 0}, {6, 0}, {6, 0}, 1] -> 
  (4*Pi^3)/(243*Sqrt[3]), H[{6, 0}, {6, 0}, {6, 1}, 1] -> 
  (5*Pi^3)/(243*Sqrt[3]) + (2*Pi^2*H[{3, 1}, 1])/27 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]), H[{6, 0}, {6, 1}, {1, 0}, 1] -> 
  (17*Pi^3)/(324*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 2*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {2, 0}, 1] -> Pi^3/(36*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1])/27 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {3, 0}, 1] -> (4*Pi^3)/(243*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/324 - (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/18 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (11*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {3, 1}, 1] -> (11*Pi^3)/(1944*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1])/324 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/36 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (11*Pi*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/3 + (5*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {6, 0}, 1] -> (2*Pi^3)/(243*Sqrt[3]), 
 H[{6, 0}, {6, 1}, {6, 1}, 1] -> (31*Pi^3)/(972*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1])/27 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 0}, {6, 1}, {0, 0}, 1] -> 
  (7*Pi^3)/(108*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 0}, {0, 0}, {6, 0}, 1] -> 
  (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - (26*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{6, 0}, {0, 0}, {6, 1}, 1] -> -Pi^3/(162*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 1}, 1] -> -Pi^3/(108*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (10*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 + H[{3, 0}, {2, 0}, {0, 0}, 1], H[{6, 1}, {2, 0}, {6, 1}, 1] -> 
  (17*Pi^3)/(648*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/27 + 
   (5*Pi^2*H[{3, 1}, 1])/54 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + (23*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {2, 0}, {2, 0}, 1], H[{6, 1}, {3, 0}, {6, 1}, 1] -> 
  (-31*Pi^3)/(972*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    Sqrt[3] - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    3 - (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {3, 1}, {6, 1}, 1] -> 
  (13*Pi^3)/(486*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/54 + 
   (Pi*H[{2, 0}, 1]^2)/(3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (7*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (77*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   H[{3, 0}, {0, 0}, {1, 0}, 1] - (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, H[{6, 1}, {6, 0}, {6, 1}, 1] -> 
  (-19*Pi^3)/(486*Sqrt[3]) - (2*Pi^2*H[{3, 1}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {6, 1}, 1] -> Pi^3/(486*Sqrt[3]), 
 H[{6, 1}, {0, 0}, {6, 1}, 1] -> Pi^3/(324*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (10*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {2, 0}, {0, 0}, 1], H[{0, 0}, {1, 0}, {1, 0}, 1] -> 
  -H[{1, 0}, {0, 0}, {0, 0}, 1], H[{0, 0}, {1, 0}, {2, 0}, 1] -> 
  -(Pi^2*H[{2, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, 1] -> -Pi^3/(27*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 1}, 1] -> -Pi^3/(54*Sqrt[3]) - 
   (2*Pi^2*H[{3, 1}, 1])/9 + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{0, 0}, {1, 0}, {6, 0}, 1] -> 
  -Pi^3/(18*Sqrt[3]) - 3*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, 1], H[{0, 0}, {1, 0}, {6, 1}, 1] -> 
  -Pi^3/(36*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1] - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{0, 0}, {1, 0}, {0, 0}, 1] -> 
  -2*H[{1, 0}, {0, 0}, {0, 0}, 1], H[{0, 0}, {2, 0}, {1, 0}, 1] -> 
  (Pi^2*H[{2, 0}, 1])/4 + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {2, 0}, {2, 0}, 1] -> -H[{1, 0}, {0, 0}, {0, 0}, 1]/8, 
 H[{0, 0}, {2, 0}, {3, 0}, 1] -> Pi^3/(36*Sqrt[3]) + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{0, 0}, {2, 0}, {3, 1}, 1] -> 
  -Pi^3/(72*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {2, 0}, {6, 0}, 1] -> Pi^3/(36*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 1}, 1] -> (7*Pi^3)/(216*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/9 - (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (41*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {2, 0}, {0, 0}, 1] -> (3*H[{1, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {3, 0}, {1, 0}, 1] -> -Pi^3/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, 1] -> -H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{0, 0}, {3, 0}, {3, 0}, 1] -> 
  -(Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{0, 0}, {3, 0}, {3, 1}, 1] -> -Pi^3/(36*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{0, 0}, {3, 0}, {6, 0}, 1] -> 
  (Pi^2*H[{2, 0}, 1])/18 - (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36, H[{0, 0}, {3, 0}, {6, 1}, 1] -> 
  -Pi^3/(27*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{0, 0}, {3, 0}, {0, 0}, 1] -> 
  (-8*Pi^3)/(81*Sqrt[3]), H[{0, 0}, {3, 1}, {1, 0}, 1] -> 
  (5*Pi^3)/(108*Sqrt[3]) + (2*Pi^2*H[{3, 1}, 1])/9 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    6 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{0, 0}, {3, 1}, {2, 0}, 1] -> 
  (-7*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{0, 0}, {3, 1}, {3, 0}, 1] -> 
  (7*Pi^3)/(324*Sqrt[3]) + (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{0, 0}, {3, 1}, {3, 1}, 1] -> 
  Pi^3/(324*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{0, 0}, {3, 1}, {6, 0}, 1] -> (7*Pi^3)/(162*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/36 + (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{0, 0}, {3, 1}, {6, 1}, 1] -> 
  (13*Pi^3)/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/
    8 + (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{0, 0}, {3, 1}, {0, 0}, 1] -> 
  (4*Pi^3)/(81*Sqrt[3]) + (8*H[{1, 0}, {0, 0}, {0, 0}, 1])/9, 
 H[{0, 0}, {6, 0}, {1, 0}, 1] -> -Pi^3/(54*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {2, 0}, 1] -> -Pi^3/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 0}, 1] -> -(Pi^2*H[{2, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/4 + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{0, 0}, {6, 0}, {3, 1}, 1] -> (-13*Pi^3)/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/36 + (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + (3*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{0, 0}, {6, 0}, {6, 0}, 1] -> 
  (-2*Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{0, 0}, {6, 0}, {6, 1}, 1] -> 
  (-19*Pi^3)/(324*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 2*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {0, 0}, 1] -> (-10*Pi^3)/(81*Sqrt[3]), 
 H[{0, 0}, {6, 1}, {1, 0}, 1] -> -Pi^3/(108*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {6, 1}, {2, 0}, 1] -> (-5*Pi^3)/(216*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/9 - (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (35*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{0, 0}, {6, 1}, {3, 0}, 1] -> (37*Pi^3)/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/36 - (17*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{0, 0}, {6, 1}, {3, 1}, 1] -> 
  (-25*Pi^3)/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/36 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{0, 0}, {6, 1}, {6, 0}, 1] -> (5*Pi^3)/(108*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{0, 0}, {6, 1}, {6, 1}, 1] -> 
  -Pi^3/(162*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{0, 0}, {6, 1}, {0, 0}, 1] -> 
  (-5*Pi^3)/(81*Sqrt[3]) - (2*H[{1, 0}, {0, 0}, {0, 0}, 1])/3, 
 H[{0, 0}, {0, 0}, {1, 0}, 1] -> H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {2, 0}, 1] -> (-3*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {0, 0}, {3, 0}, 1] -> (4*Pi^3)/(81*Sqrt[3]), 
 H[{0, 0}, {0, 0}, {3, 1}, 1] -> (-2*Pi^3)/(81*Sqrt[3]) - 
   (4*H[{1, 0}, {0, 0}, {0, 0}, 1])/9, H[{0, 0}, {0, 0}, {6, 0}, 1] -> 
  (5*Pi^3)/(81*Sqrt[3]), H[{0, 0}, {0, 0}, {6, 1}, 1] -> 
  (5*Pi^3)/(162*Sqrt[3]) + H[{1, 0}, {0, 0}, {0, 0}, 1]/3, 
 H[{0, 0}, {0, 0}, {0, 0}, 1] -> 0, H[{1, 0}, {1, 0}, {0, 0}, 1] -> 
  (Pi^2*H[{1, 0}, 1])/6 - H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {1, 0}, 1] -> -(Pi^2*H[{1, 0}, 1])/12 + H[{1, 0}, 1]^3/6 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/3, H[{2, 0}, {0, 0}, {0, 0}, 1] -> 
  (-3*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, H[{2, 0}, {0, 0}, {1, 0}, 1] -> 
  -(Pi^2*H[{2, 0}, 1])/6 - (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{2, 0}, {1, 0}, {0, 0}, 1] -> -(Pi^2*H[{2, 0}, 1])/12 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1], H[{2, 0}, {1, 0}, {1, 0}, 1] -> 
  -(Pi^2*H[{2, 0}, 1])/12 + H[{2, 0}, 1]^3/6 - 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, H[{2, 0}, {2, 0}, {0, 0}, 1] -> 
  -(Pi^2*H[{2, 0}, 1])/12 - H[{1, 0}, {0, 0}, {0, 0}, 1]/8, 
 H[{2, 0}, {2, 0}, {1, 0}, 1] -> H[{2, 0}, 1]^3/6 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/8, H[{3, 0}, {0, 0}, {0, 0}, 1] -> 
  (4*Pi^3)/(81*Sqrt[3]), H[{3, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^3/(54*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {1, 0}, 1] -> (2*Pi^3)/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/54 + (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {2, 0}, 1] -> (Pi^2*H[{2, 0}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, 1] -> -Pi^3/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {2, 0}, {2, 0}, 1] -> Pi^3/(108*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {0, 0}, 1] -> -(Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{3, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^3/(324*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/54 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + H[{1, 0}, {0, 0}, {0, 0}, 1]/27, 
 H[{3, 0}, {3, 0}, {2, 0}, 1] -> -(Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36, H[{3, 1}, {0, 0}, {0, 0}, 1] -> 
  (-2*Pi^3)/(81*Sqrt[3]) - (4*H[{1, 0}, {0, 0}, {0, 0}, 1])/9, 
 H[{3, 1}, {0, 0}, {1, 0}, 1] -> -Pi^3/(36*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - H[{1, 0}, {0, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 1}, {0, 0}, {2, 0}, 1] -> 
  Pi^3/(72*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - (19*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{3, 1}, {0, 0}, {3, 0}, 1] -> 
  Pi^3/(162*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 1}, {1, 0}, {0, 0}, 1] -> 
  -Pi^3/(54*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/18 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 1}, {1, 0}, {1, 0}, 1] -> (-23*Pi^3)/(972*Sqrt[3]) - 
   (2*Pi^2*H[{3, 1}, 1])/27 + H[{3, 1}, 1]^3/6 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {3, 0}, 1] -> -Pi^3/(36*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + H[{1, 0}, {0, 0}, {0, 0}, 1]/27 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1], H[{3, 1}, {2, 0}, {0, 0}, 1] -> 
  -Pi^3/(72*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{3, 1}, {2, 0}, {1, 0}, 1] -> 
  -Pi^3/(144*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - (Pi^2*H[{3, 1}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (48*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    48 - H[{3, 0}, {0, 0}, {2, 0}, 1]/4 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/2, H[{3, 1}, {2, 0}, {3, 0}, 1] -> 
  (5*Pi^3)/(216*Sqrt[3]) - (7*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4, H[{3, 1}, {3, 0}, {0, 0}, 1] -> 
  -Pi^3/(36*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{3, 1}, {3, 0}, {1, 0}, 1] -> -Pi^3/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/108 - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1]/54 + 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 1}, {3, 0}, {3, 0}, 1] -> 
  -Pi^3/(972*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{3, 1}, {3, 1}, {0, 0}, 1] -> 
  Pi^3/(324*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/18 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {1, 0}, 1] -> -Pi^3/(486*Sqrt[3]) + H[{3, 1}, 1]^3/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    54 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2, H[{3, 1}, {3, 1}, {2, 0}, 1] -> 
  Pi^3/(144*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    4 - (5*Pi*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + (11*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    48 - H[{3, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 1}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{3, 1}, {3, 1}, {3, 0}, 1] -> 
  (11*Pi^3)/(972*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{6, 0}, {0, 0}, {0, 0}, 1] -> (5*Pi^3)/(81*Sqrt[3]), 
 H[{6, 0}, {0, 0}, {1, 0}, 1] -> -Pi^3/(27*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {2, 0}, 1] -> Pi^3/(27*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 0}, 1] -> (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18, H[{6, 0}, {0, 0}, {3, 1}, 1] -> 
  Pi^3/(72*Sqrt[3]) + (5*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^3/(18*Sqrt[3]) - 3*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, 1], H[{6, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^3/(18*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{6, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^3/(54*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1], H[{6, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^3/(324*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1])/81 - (Pi^2*H[{3, 1}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/36 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 0}, {1, 0}, {3, 1}, 1] -> 
  (5*Pi^3)/(324*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{3, 1}, 1])/36 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - (23*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {0, 0}, 1] -> -Pi^3/(36*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {1, 0}, 1] -> -Pi^3/(27*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/27 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {2, 0}, 1] -> (5*Pi^3)/(648*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/27 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/2, H[{6, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^3/(324*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1])/81 + (Pi^2*H[{3, 1}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + (5*Pi*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (23*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 0}, {2, 0}, {3, 1}, 1] -> 
  (-5*Pi^3)/(216*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{3, 1}, 1])/36 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (55*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 - (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 0}, {3, 0}, {0, 0}, 1] -> 
  (Pi^2*H[{2, 0}, 1])/18 + (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36, H[{6, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^3/(162*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1])/81 + (Pi^2*H[{3, 1}, 1])/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    2 + (17*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {2, 0}, 1] -> Pi^3/(81*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/54 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + (8*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 0}, 1] -> Pi^3/(972*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    12 - H[{3, 0}, {0, 0}, {1, 0}, 1]/4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3, H[{6, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^3/(243*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1])/162 + 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (8*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{6, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^3/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/36 - (Pi*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 0}, {3, 1}, {1, 0}, 1] -> 
  (-23*Pi^3)/(1296*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1])/324 - 
   (Pi^2*H[{3, 1}, 1])/36 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - (43*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) + (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (3*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    16 + H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - (11*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 - H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {2, 0}, 1] -> -Pi^3/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 0}, {3, 1}, {3, 0}, 1] -> 
  (-5*Pi^3)/(972*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/18 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (179*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    6 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {3, 1}, 1] -> (7*Pi^3)/(3888*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - (7*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 0}, {0, 0}, 1] -> (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, H[{6, 0}, {6, 0}, {1, 0}, 1] -> 
  (2*Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27, H[{6, 0}, {6, 0}, {2, 0}, 1] -> Pi^3/(81*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1])/27 - (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36, H[{6, 0}, {6, 0}, {3, 0}, 1] -> 
  (23*Pi^3)/(972*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + H[{3, 0}, {0, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {3, 1}, 1] -> (-13*Pi^3)/(972*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1])/324 + (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {0, 0}, {0, 0}, 1] -> (5*Pi^3)/(162*Sqrt[3]) + 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/3, H[{6, 1}, {0, 0}, {1, 0}, 1] -> 
  -Pi^3/(54*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{1, 0}, {0, 0}, {0, 0}, 1] + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 1}, {0, 0}, {2, 0}, 1] -> 
  Pi^3/(54*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 - (47*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {0, 0}, {3, 0}, 1] -> (-13*Pi^3)/(648*Sqrt[3]) + 
   (11*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 1}, {0, 0}, {3, 1}, 1] -> 
  (11*Pi^3)/(648*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/12 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {0, 0}, {6, 0}, 1] -> Pi^3/(81*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {0, 0}, 1] -> Pi^3/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/4 - H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {1, 0}, 1] -> Pi^3/(36*Sqrt[3]) - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/3 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 1}, {1, 0}, {2, 0}, 1] -> 
  (-2*Pi^2*H[{2, 0}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, 1], H[{6, 1}, {1, 0}, {3, 0}, 1] -> 
  (-5*Pi^3)/(324*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{3, 1}, 1])/36 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/72 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {1, 0}, {3, 1}, 1] -> 
  Pi^3/(81*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/81 - (Pi^2*H[{3, 1}, 1])/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + (5*Pi*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (77*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {6, 0}, 1] -> -Pi^3/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {2, 0}, {0, 0}, 1] -> Pi^3/(216*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/9 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (41*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {2, 0}, {1, 0}, 1] -> -Pi^3/(216*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1])/27 + (Pi^2*H[{3, 1}, 1])/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - (11*Pi*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (91*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{6, 1}, {2, 0}, {2, 0}, 1] -> 
  (11*Pi^3)/(1296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 + 
   (5*Pi^2*H[{3, 1}, 1])/108 + (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - (37*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/2, H[{6, 1}, {2, 0}, {3, 0}, 1] -> 
  (-7*Pi^3)/(648*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{3, 1}, 1])/36 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (11*Pi*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - (8*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (101*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    3 - (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 1}, 1] -> (-11*Pi^3)/(648*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1])/81 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (143*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    3 - (2*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - (8*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 0}, 1] -> (11*Pi^3)/(648*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/27 + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    4 - (2*Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {2, 0}, {0, 0}, 1], H[{6, 1}, {3, 0}, {0, 0}, 1] -> 
  -Pi^3/(27*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 + (Pi*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 1}, {3, 0}, {1, 0}, 1] -> 
  (-19*Pi^3)/(432*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1])/324 + 
   (Pi^2*H[{3, 1}, 1])/36 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + (43*Pi*H[{3, 0}, {0, 0}, 1])/
    (144*Sqrt[3]) - (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 1}, {3, 0}, {2, 0}, 1] -> 
  Pi^3/(108*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {3, 0}, {3, 0}, 1] -> 
  Pi^3/(486*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/27 - 
   (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    216 + H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{6, 1}, {3, 0}, {3, 1}, 1] -> 
  (-25*Pi^3)/(3888*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (Pi^2*H[{3, 1}, 1])/36 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (47*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    432 - H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {3, 0}, {6, 0}, 1] -> 
  (-2*Pi^3)/(243*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 - (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {0, 0}, 1] -> (7*Pi^3)/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/36 - (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    8 - H[{3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {3, 1}, {1, 0}, 1] -> (25*Pi^3)/(1296*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1])/324 + (Pi^2*H[{3, 1}, 1])/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    4 - (119*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (Pi*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (161*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - H[{3, 0}, {0, 0}, {1, 0}, 1]/12 - (7*H[{3, 0}, {0, 0}, {2, 0}, 1])/
    12 - H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 1}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{6, 1}, {3, 1}, {2, 0}, 1] -> 
  Pi^3/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (25*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {3, 1}, {3, 0}, 1] -> 
  (-29*Pi^3)/(1944*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + (5*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (137*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {3, 1}, 1] -> (47*Pi^3)/(3888*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1])/54 + (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    12 - (35*Pi*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + (29*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 + H[{3, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 1}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, 1]/3, H[{6, 1}, {3, 1}, {6, 0}, 1] -> 
  (11*Pi^3)/(486*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/108 + 
   (2*Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (19*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    2 - H[{3, 0}, {0, 0}, {2, 0}, 1]/6 - (7*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, H[{6, 1}, {6, 0}, {0, 0}, 1] -> 
  (-19*Pi^3)/(324*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 2*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, 1] -> (-17*Pi^3)/(324*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (65*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, 1], H[{6, 1}, {6, 0}, {2, 0}, 1] -> 
  -Pi^3/(72*Sqrt[3]) - (Pi^2*H[{3, 1}, 1])/27 - (2*Pi*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    4 - H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {3, 0}, 1] -> (5*Pi^3)/(486*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1])/108 - (Pi*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1])/18 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (5*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{1, 0}, {0, 0}, {0, 0}, 1]/4 + (13*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + (5*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 1}, 1] -> (-55*Pi^3)/(1944*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1])/27 - (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1])/36 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (8*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - (7*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {6, 0}, 1] -> -Pi^3/(243*Sqrt[3]) - 
   (2*Pi^2*H[{3, 1}, 1])/27 - (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]), 
 H[{6, 1}, {6, 1}, {0, 0}, 1] -> Pi^3/(324*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 - (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {6, 1}, {1, 0}, 1] -> -(Pi*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/2, H[{6, 1}, {6, 1}, {2, 0}, 1] -> 
  (-7*Pi^3)/(1296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{3, 1}, 1])/36 - (Pi*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + (Pi*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, 1])/16 + (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    4 - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - (23*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    144 - (5*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 1]/
    4 + H[{3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 1}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {2, 0}, {2, 0}, 1], H[{6, 1}, {6, 1}, {3, 0}, 1] -> 
  (5*Pi^3)/(243*Sqrt[3]) - (Pi^2*H[{2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - (4*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (17*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - H[{3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {3, 1}, 1] -> (-13*Pi^3)/(972*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1])/324 - (Pi*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + (2*Pi*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (77*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, H[{6, 1}, {6, 1}, {6, 0}, 1] -> 
  (19*Pi^3)/(972*Sqrt[3]) + (Pi*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + (13*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, 1], H[{1, 0}, {1, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^4/720 + (Pi^2*H[{1, 0}, 1]^2)/24 - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/6 + 
   (H[{1, 0}, 1]^3*H[{2, 0}, 1])/6 + (Pi^2*H[{2, 0}, 1]^2)/12 - 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]^2)/4 + (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/6 - 
   H[{2, 0}, 1]^4/24 - (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{1, 0}, {1, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/4374 - (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/108 + 
   (Pi*H[{1, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1], H[{1, 0}, {1, 0}, {1, 0}, {3, 1}, 1] -> 
  (113*Pi^4)/29160 - (23*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/27 + (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (17*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + (H[{1, 0}, 1]^3*H[{3, 1}, 1])/
    6 + (17*Pi^2*H[{3, 1}, 1]^2)/216 - (H[{1, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/6 - H[{3, 1}, 1]^4/24 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (9*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (2201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {1, 0}, {1, 0}, {6, 0}, 1] -> (Pi*H[{1, 0}, 1]^3)/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    4 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {1, 0}, {6, 1}, 1] -> (547*Pi^4)/136080 + 
   (Pi^2*H[{1, 0}, 1]^2)/72 + (Pi*H[{1, 0}, 1]^3)/(18*Sqrt[3]) + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (Pi^2*H[{3, 0}, {0, 0}, 1])/21 - 
   (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {1, 0}, {2, 0}, {1, 0}, 1] -> (-13*Pi^4)/720 - 
   (Pi^2*H[{1, 0}, 1]^2)/24 + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/6 - 
   (Pi^2*H[{2, 0}, 1]^2)/6 + (H[{1, 0}, 1]^2*H[{2, 0}, 1]^2)/4 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/3 + H[{2, 0}, 1]^4/8 + 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {1, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/720 + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 - (Pi^2*H[{2, 0}, 1]^2)/8 + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]^2)/4 - (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/3 + 
   H[{2, 0}, 1]^4/8 + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {2, 0}, {3, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) - 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 + 
   (Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(6*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (101*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, 1]^2/8 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (53*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {1, 0}, {2, 0}, {3, 1}, 1] -> (151*Pi^4)/136080 - 
   (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) - (1433*Pi^3*H[{2, 0}, 1])/
    (81648*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (1553*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (551*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (265*H[{3, 0}, {0, 0}, 1]^2)/224 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (559*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (2773*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (92563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (6677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {1, 0}, {2, 0}, {6, 0}, 1] -> 
  -Pi^4/972 + (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/54 - 
   (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + 
   (Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(3*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (233*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {1, 0}, {2, 0}, {6, 1}, 1] -> 
  (-289*Pi^4)/30240 + (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - 
   (5*Pi^2*H[{1, 0}, 1]^2)/216 - (5*Pi^3*H[{2, 0}, 1])/(168*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + (Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/
    (6*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (6*Sqrt[3]) + (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/28 - (Pi^2*H[{3, 1}, {2, 0}, 1])/14 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (647*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (91*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (97*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {2, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {1, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/360 - (Pi^2*H[{1, 0}, 1]^2)/24 + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/4 - 
   (Pi^2*H[{2, 0}, 1]^2)/8 + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    8 - (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {1, 0}, {3, 0}, {1, 0}, 1] -> (7*Pi^4)/2916 - 
   (4*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/108 + 
   (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 + (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{1, 0}, {1, 0}, {3, 0}, {2, 0}, 1] -> 
  -Pi^4/1296 + (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - (71*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (49*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(48*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1], H[{1, 0}, {1, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/5832 - (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/108 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {1, 0}, {3, 0}, {3, 1}, 1] -> -(Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/216 - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + 
   (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 1}, 1]^2)/216 - (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {1, 0}, {3, 0}, {6, 0}, 1] -> (-953*Pi^4)/136080 - 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/108 - 
   (36677*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) + 
   (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/
    (18*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 + (Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - 
   (593*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3 + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (3565*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (4073*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (403*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (767*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (641*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (401*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1451*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (15917*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (589*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {1, 0}, {3, 0}, {6, 1}, 1] -> (17*Pi^4)/15120 - 
   (65*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/216 - 
   (1037*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (5*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/486 + (65*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 - 
   (353*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (2159*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (11*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5293*H[{3, 0}, {0, 0}, 1]^2)/13440 + (128*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (631*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (2203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (278171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (3921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (16517*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3959*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/20 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (941*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {1, 0}, {3, 0}, {0, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{1, 0}, {1, 0}, {3, 1}, {1, 0}, 1] -> (-233*Pi^4)/9720 + 
   (23*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/27 - 
   (23*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (4*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 - (11*Pi^2*H[{3, 1}, 1]^2)/72 + (H[{1, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/3 + H[{3, 1}, 1]^4/8 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (27*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (2201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (396*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {1, 0}, {3, 1}, {2, 0}, 1] -> (19*Pi^4)/18144 + 
   (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) + (439*Pi^3*H[{2, 0}, 1])/
    (40824*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (1333*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (5237*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (117*H[{3, 0}, {0, 0}, 1]^2)/224 - (139*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (307*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (603683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (3247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(16*Sqrt[3]) + 
   (75*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2737*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(400*Sqrt[3]) + 
   (6453*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (13127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (1343*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/7 - H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {1, 0}, {3, 1}, {3, 0}, 1] -> 
  -Pi^4/648 + (5*Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]^2)/216 - (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 - (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (43*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {1, 0}, {3, 1}, {3, 1}, 1] -> (-83*Pi^4)/29160 - 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 - (25*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (H[{1, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/3 + 
   H[{3, 1}, 1]^4/8 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (28*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {1, 0}, {3, 1}, {6, 0}, 1] -> (847*Pi^4)/174960 + 
   (41*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/72 + 
   (2771*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) - 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (5*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/486 - (41*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/120 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - (3163*Pi^2*H[{3, 0}, {0, 0}, 1])/
    15552 + (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (5*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (875*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1001*H[{3, 0}, {0, 0}, 1]^2)/1920 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/810 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (629*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (300221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (5071*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (4207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (71*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (473*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (23*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {1, 0}, {3, 1}, {6, 1}, 1] -> 
  (-5959*Pi^4)/1224720 + (19*Pi^3*H[{1, 0}, 1])/(432*Sqrt[3]) - 
   (34301*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (11*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (2*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/486 - (19*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2520 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - (14255*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 - (95*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (4531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (95*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (169*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (4967*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (161*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (8717*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (203*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (27521*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(15120*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (737*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (313*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/20 - 
   (59*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2797*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (139*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (227*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {1, 0}, {3, 1}, {0, 0}, 1] -> (-29*Pi^4)/3240 + 
   (5*Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/36 - 
   (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    9 - (Pi^2*H[{3, 1}, 1]^2)/9 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (27*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (9679*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (1231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {1, 0}, {6, 0}, {1, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/16 + (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    4 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 0}, {2, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/54 + (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (3*Pi^2*H[{3, 0}, {0, 0}, 1])/32 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (13*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {1, 0}, {6, 0}, {3, 0}, 1] -> (1669*Pi^4)/408240 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/36 + 
   (31637*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) - 
   (Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/243 + (1499*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (2231*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3989*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + (2537*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (907*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (181*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (107543*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(37800*Sqrt[3]) - 
   (1513*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1021*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (64063*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (2349*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (761*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {1, 0}, {6, 0}, {3, 1}, 1] -> (-563*Pi^4)/116640 + 
   (Pi^3*H[{1, 0}, 1])/(432*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/72 - 
   (4211*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + (5*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/
    (18*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (257*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (1265*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (899*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (1121*H[{3, 0}, {0, 0}, 1]^2)/1920 + (151*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1620 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (233*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2160*Sqrt[3]) + (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (13591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) - 
   (267*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (19*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (523*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (13*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (33149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1207*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2389*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (23*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (49*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 0}, {6, 0}, 1] -> (19*Pi^4)/5832 + 
   (Pi^2*H[{1, 0}, 1]^2)/27 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {1, 0}, {6, 0}, {6, 1}, 1] -> 
  (101*Pi^4)/15120 - (17*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/27 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (127*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (923*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 0}, {0, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 1}, {1, 0}, 1] -> (-757*Pi^4)/45360 - 
   (Pi^3*H[{1, 0}, 1])/(18*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/72 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (15*Pi^2*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (135*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (125*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {1, 0}, {6, 1}, {2, 0}, 1] -> (187*Pi^4)/272160 + 
   (Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]^2)/216 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    18 + (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (359*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/28 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (1517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (9217*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1613*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (571*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (3517*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 1}, {3, 0}, 1] -> (-61*Pi^4)/272160 + 
   (77*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/72 + 
   (11117*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 - (5*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/
    (18*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 + 
   (779*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (7165*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (55*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (11*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (173*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (4453*H[{3, 0}, {0, 0}, 1]^2)/13440 - (547*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (439*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1680*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (2203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (541*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (346*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (431*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (419*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (209*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 1}, {3, 1}, 1] -> (-2183*Pi^4)/816480 - 
   (41*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) - (2059*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (2*Pi*H[{1, 0}, 1]^2*H[{2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/486 - (793*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (11015*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (7*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (36187*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (4129*H[{3, 0}, {0, 0}, 1]^2)/13440 + (239*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (683*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (14117*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (41563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10800*Sqrt[3]) + 
   (3431*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (377*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (667*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(720*Sqrt[3]) + 
   (179*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (452*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {1, 0}, {6, 1}, {6, 0}, 1] -> (-1397*Pi^4)/408240 + 
   (23*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) - (Pi*H[{1, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (577*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (39*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-71*Pi^4)/58320 + 
   (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/108 + 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{1, 0}, {1, 0}, {6, 1}, {0, 0}, 1] -> 
  (-43*Pi^4)/5670 - (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]^2)/72 - (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (135*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (839*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {1, 0}, {0, 0}, {1, 0}, 1] -> (-7*Pi^4)/360 - 
   (Pi^2*H[{1, 0}, 1]^2)/12 + 2*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {0, 0}, {2, 0}, 1] -> 
  -Pi^4/480 + (Pi^2*H[{1, 0}, 1]^2)/24 - 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{1, 0}, {1, 0}, {0, 0}, {3, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1], H[{1, 0}, {1, 0}, {0, 0}, {3, 1}, 1] -> 
  Pi^4/9720 - (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]^2)/36 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (271*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) + 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {1, 0}, {0, 0}, {6, 0}, 1] -> (2*Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    4 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {0, 0}, {6, 1}, 1] -> (-271*Pi^4)/272160 + 
   (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]^2)/72 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (3*Pi^2*H[{3, 0}, {0, 0}, 1])/112 - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{1, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (423*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {2, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/40 - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 + (Pi^2*H[{2, 0}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/6 - H[{2, 0}, 1]^4/8 - 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {2, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^4/160 - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 + (Pi^2*H[{2, 0}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/6 - H[{2, 0}, 1]^4/8 - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/1296 - (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + 
   (11*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (361*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/8 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (13*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {2, 0}, {1, 0}, {3, 1}, 1] -> (1093*Pi^4)/272160 + 
   (185*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 + 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + 
   (281*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (1439*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (375*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (37*H[{3, 0}, {0, 0}, 1]^2)/56 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (1129*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (73*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (116041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (1707*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (8611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (6653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(80*Sqrt[3]) + 
   (2729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {1, 0}, {6, 0}, 1] -> 
  Pi^4/486 - (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + 
   (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (95*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (41*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {1, 0}, {6, 1}, 1] -> (2843*Pi^4)/272160 - 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(84*Sqrt[3]) - 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + (13*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/28 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (295*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/224 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (187*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (8539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (19641*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   3*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {1, 0}, {0, 0}, 1] -> 
  (7*Pi^4)/480 - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 + 
   (Pi^2*H[{2, 0}, 1]^2)/6 - H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {2, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/288 + (Pi^2*H[{2, 0}, 1]^2)/24 + (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/6 - 
   H[{2, 0}, 1]^4/8 + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {2, 0}, {2, 0}, {2, 0}, 1] -> 
  Pi^4/360 + (Pi^2*H[{2, 0}, 1]^2)/24 + (H[{1, 0}, 1]*H[{2, 0}, 1]^3)/6 - 
   H[{2, 0}, 1]^4/8 + (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {2, 0}, {3, 0}, 1] -> 
  -Pi^4/1944 + (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 + 
   (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {2, 0}, {3, 1}, 1] -> 
  (-193*Pi^4)/136080 - (17*Pi^3*H[{2, 0}, 1])/(6048*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/504 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/2 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (Pi^2*H[{3, 1}, {2, 0}, 1])/252 - H[{1, 0}, 1]*H[{2, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (5941*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 - 
   (613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (535*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (165*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {2, 0}, {6, 0}, 1] -> 
  -Pi^4/972 + (5*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (23*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 + (Pi^2*H[{2, 0}, 1]^2)/27 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (3*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {2, 0}, {6, 1}, 1] -> (-3281*Pi^4)/272160 + 
   (11*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + (235*Pi^3*H[{2, 0}, 1])/
    (18144*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 + 
   (17*Pi^2*H[{2, 0}, 1]^2)/216 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (6*Sqrt[3]) - (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 - (145*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (2455*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (241*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (1541*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1255*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3024*Sqrt[3]) - (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (3025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (647*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (6183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (327*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/360 - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 + (Pi^2*H[{2, 0}, 1]^2)/6 - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^4/1296 + (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) - 
   (41*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    54 - (Pi^2*H[{2, 0}, 1]^2)/108 + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/8 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 0}, {2, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (7*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - 
   (515*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    4 - (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 0}, {3, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 0}, {3, 1}, 1] -> (-7*Pi^4)/23328 - 
   (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 - 
   (Pi^2*H[{2, 0}, 1]^2)/216 + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (109*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {3, 0}, {6, 0}, 1] -> 
  (-11*Pi^4)/3645 + (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - 
   (53*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 - (Pi^2*H[{2, 0}, 1]^2)/324 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/270 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (2*H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (2495*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (252*Sqrt[3]) + (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (187*H[{3, 0}, {0, 0}, 1]^2)/480 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/270 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(21*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (16*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (214*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (8*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (961*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (106*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (14*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (7*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 0}, {6, 1}, 1] -> (109*Pi^4)/54432 + 
   (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - (44*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]^2)/648 + (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (4255*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (43*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (389*H[{3, 0}, {0, 0}, 1]^2)/1680 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (323*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (439*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (16189*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1831*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1189*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {2, 0}, {3, 0}, {0, 0}, 1] -> 
  -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, 1]^2/8 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{1, 0}, {2, 0}, {3, 1}, {1, 0}, 1] -> 
  (-1697*Pi^4)/272160 + (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) + 
   (2311*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/9 + (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    36 + (3683*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (2477*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (191*H[{3, 0}, {0, 0}, 1]^2)/112 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (2159*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (73*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (6389*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1260*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (7811*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (6253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {2, 0}, {3, 1}, {2, 0}, 1] -> (193*Pi^4)/68040 + 
   (17*Pi^3*H[{2, 0}, 1])/(3024*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (11*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + H[{1, 0}, 1]*H[{2, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (5941*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) - (26*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (535*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (165*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {2, 0}, {3, 1}, {3, 0}, 1] -> (19*Pi^4)/23328 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/
    (162*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (907*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (4969*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (233*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (571*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (219*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {3, 1}, {3, 1}, 1] -> 
  (-211*Pi^4)/90720 + (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) - 
   (2161*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - (5*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (6379*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (6463*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (1647*H[{3, 0}, {0, 0}, 1]^2)/896 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (1313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (9295*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (74119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1543*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (481*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (4573*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (377*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (37*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   (75*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {2, 0}, {3, 1}, {6, 0}, 1] -> (739*Pi^4)/816480 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (53*Pi^3*H[{2, 0}, 1])/
    (11340*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (17*Pi^2*H[{2, 0}, 1]^2)/648 - (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + 
   (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/Sqrt[3] - 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (2167*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (905*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (37*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (169*H[{3, 0}, {0, 0}, 1]^2)/420 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (853*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (275*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (27823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (8811*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2909*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (36*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (141*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {2, 0}, {3, 1}, {6, 1}, 1] -> 
  (-1489*Pi^4)/408240 + (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + 
   (127*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    36 - (Pi^2*H[{2, 0}, 1]^2)/162 - (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (151*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (229*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (35*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2917*H[{3, 0}, {0, 0}, 1]^2)/6720 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2473*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2657*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1609*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (177*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {3, 1}, {0, 0}, 1] -> (83*Pi^4)/54432 + 
   (17*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    18 + (Pi^2*H[{2, 0}, 1]^2)/36 + (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/14 + 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (6229*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (685*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (121*H[{3, 0}, {0, 0}, 1]^2)/224 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/14 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (11947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) + 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (101*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) + 
   (437*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (101*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {2, 0}, {6, 0}, {1, 0}, 1] -> 
  Pi^4/162 + (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - (7*Pi^3*H[{2, 0}, 1])/
    (54*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (41*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {6, 0}, {2, 0}, 1] -> 
  (-5*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (11*Pi^3*H[{2, 0}, 1])/
    (324*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, 1]^2/32 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {2, 0}, {6, 0}, {3, 0}, 1] -> (907*Pi^4)/408240 - 
   (5*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (6343*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/36 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 + (713*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (449*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5009*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (407*H[{3, 0}, {0, 0}, 1]^2)/2240 - (257*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (443*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (211951*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (23419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (15361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (531*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1339*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {2, 0}, {6, 0}, {3, 1}, 1] -> (-2237*Pi^4)/816480 + 
   (17*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (17683*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/216 + (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - 
   (713*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (803*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (307*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (267*H[{3, 0}, {0, 0}, 1]^2)/4480 + (619*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (4951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (1535*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (4*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (379*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (884*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (313*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (172*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (183*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {6, 0}, {6, 0}, 1] -> 
  (1189*Pi^4)/136080 - (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 - (Pi^2*H[{2, 0}, 1]^2)/27 - (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 - (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (25*H[{3, 0}, {0, 0}, 1]^2)/56 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (1417*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (5423*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (221*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) - 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {2, 0}, {6, 0}, {6, 1}, 1] -> (55*Pi^4)/11664 - 
   (17*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/
    (648*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (23*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(448*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2449*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {2, 0}, {6, 0}, {0, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {6, 1}, {1, 0}, 1] -> (637*Pi^4)/38880 + 
   (Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/12 - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1423*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (8539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (2763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (229*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (3467*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (21*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + H[{3, 1}, {2, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {2, 0}, {6, 1}, {2, 0}, 1] -> 
  (967*Pi^4)/68040 - (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (149*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (13*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 - (7*Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (1717*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (33*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (187*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (45*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/2 + 
   (773*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (261*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (5813*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (239*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {2, 0}, {6, 1}, {3, 0}, 1] -> (-701*Pi^4)/272160 + 
   (Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (65563*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (59*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 + (713*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (1931*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (11149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1] + 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (127*H[{3, 0}, {0, 0}, 1]^2)/4480 - (829*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (5597*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (649*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (195751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (23719*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (272*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (1439*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (1257*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {2, 0}, {6, 1}, {3, 1}, 1] -> 
  (-2923*Pi^4)/408240 + (7*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - 
   (25663*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - 
   (41*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + (5*Pi^2*H[{2, 0}, 1]^2)/54 + 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (293*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (659*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (19223*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (611*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (151*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (887*H[{3, 0}, {0, 0}, 1]^2)/560 + (1133*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1381*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (989*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (53831*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (18437*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (29893*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (989*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (577*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (99*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {2, 0}, {6, 1}, {6, 0}, 1] -> (1241*Pi^4)/204120 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (101*Pi^3*H[{2, 0}, 1])/
    (6048*Sqrt[3]) + (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/224 - 
   (23*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (209*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3161*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (225*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (85*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (136*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (73*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (68839*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (19871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (613*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (349*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {6, 1}, {6, 1}, 1] -> 
  Pi^4/48 - (Pi^3*H[{1, 0}, 1])/(48*Sqrt[3]) + (107*Pi^3*H[{2, 0}, 1])/
    (2592*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/18 - 
   (Pi^2*H[{2, 0}, 1]^2)/36 + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (7*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + 
   (49*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (143*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (311*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (165*H[{3, 0}, {0, 0}, 1]^2)/
    128 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (23*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (215*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (4061*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(560*Sqrt[3]) + 
   (1797*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (521*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (433*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (367*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (61*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {2, 0}, {6, 1}, {0, 0}, 1] -> (5191*Pi^4)/272160 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (19*Pi^3*H[{2, 0}, 1])/
    (756*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    28 - (269*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (1319*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (317*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (489*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/14 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3859*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (35*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (176237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (62079*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (9343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (7089*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (191*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {2, 0}, {0, 0}, {1, 0}, 1] -> (7*Pi^4)/1440 - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/6 + (Pi^2*H[{2, 0}, 1]^2)/12 - 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {2, 0}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/120 + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/12 - (Pi^2*H[{2, 0}, 1]^2)/24 + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {2, 0}, {0, 0}, {3, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^3*H[{2, 0}, 1])/(12*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1], H[{1, 0}, {2, 0}, {0, 0}, {3, 1}, 1] -> 
  (-2413*Pi^4)/272160 + (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) - 
   (31*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    18 - (Pi^2*H[{2, 0}, 1]^2)/36 - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 + 
   (155*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (1243*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (661*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (309*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (7475*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) - 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (19*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (157*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (3007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) - 
   (1429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (739*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (11827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) + 
   (3809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (4547*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {2, 0}, {0, 0}, {6, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (5*Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {2, 0}, {0, 0}, {6, 1}, 1] -> (11*Pi^4)/2835 - 
   (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + (85*Pi^3*H[{2, 0}, 1])/
    (1512*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + 
   (181*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (33*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (8273*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (47*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(560*Sqrt[3]) + 
   (409*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (121*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/16 + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {2, 0}, {0, 0}, {0, 0}, 1] -> 
  Pi^4/90 - (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {3, 0}, {1, 0}, {1, 0}, 1] -> (-23*Pi^4)/5832 + 
   (2*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{1, 0}, {3, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^4/1296 - (41*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, 1]^2/8 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (265*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{1, 0}, {3, 0}, {1, 0}, {3, 0}, 1] -> (-5*Pi^4)/1944 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/2 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (2*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {1, 0}, {3, 1}, 1] -> (-13*Pi^4)/11664 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {3, 0}, {1, 0}, {6, 0}, 1] -> (881*Pi^4)/81648 + 
   (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + (11057*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) - (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 + (379*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (913*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (2393*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (121*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (823*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (481*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (734*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (166477*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (1699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (839*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (449*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {1, 0}, {6, 1}, 1] -> (629*Pi^4)/408240 - 
   (12163*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (65*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 + (209*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (Pi^2*H[{3, 1}, 1]^2)/108 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (24*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (2545*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (1037*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (245*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2173*H[{3, 0}, {0, 0}, 1]^2)/4480 - (331*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (2119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (174877*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (456*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (124*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (382*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (891*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {1, 0}, {0, 0}, 1] -> 
  -Pi^4/486 + (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{1, 0}, {3, 0}, {2, 0}, {1, 0}, 1] -> 
  Pi^4/1296 - (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + 
   (41*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    54 + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (9*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/8 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {3, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/1944 + (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 0}, {2, 0}, {3, 0}, 1] -> 
  (7*Pi^4)/972 - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {2, 0}, {3, 1}, 1] -> (-19*Pi^4)/3888 + 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/64 - (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 0}, {2, 0}, {6, 0}, 1] -> 
  (929*Pi^4)/81648 - (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + 
   (463*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + 
   (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    54 + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + (Pi^2*H[{3, 1}, 1]^2)/54 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (373*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3175*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (2813*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (479*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (4127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (23*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (3617*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (97*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (64303*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (198*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (479*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (32*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {2, 0}, {6, 1}, 1] -> (49*Pi^4)/7290 - 
   (17*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (2509*Pi^3*H[{2, 0}, 1])/
    (116640*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (13*Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1080 + (Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (431*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (2491*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1603*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) - (101*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (331*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (52603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (257*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {3, 0}, {2, 0}, {0, 0}, 1] -> 
  (11*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1], H[{1, 0}, {3, 0}, {3, 0}, {1, 0}, 1] -> 
  -Pi^4/5832 + (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - 
   (Pi^2*H[{3, 1}, 1]^2)/54 - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/2 + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, 
 H[{1, 0}, {3, 0}, {3, 0}, {2, 0}, 1] -> (-7*Pi^4)/2916 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{1, 0}, {3, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/8748 + (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24, 
 H[{1, 0}, {3, 0}, {3, 0}, {3, 1}, 1] -> (-811*Pi^4)/349920 + 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{1, 0}, {3, 0}, {3, 0}, {6, 0}, 1] -> (-419*Pi^4)/408240 - 
   (5*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (13*Pi^3*H[{2, 0}, 1])/
    (504*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/324 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (1975*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (127*H[{3, 0}, {0, 0}, 1]^2)/336 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {3, 0}, {6, 1}, 1] -> (-239*Pi^4)/102060 - 
   (Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (433*Pi^3*H[{2, 0}, 1])/
    (90720*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/72 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2520 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (1399*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (12031*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (4023*H[{3, 0}, {0, 0}, 1]^2)/4480 + (157*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (563*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2711*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (66527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5321*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (8237*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (813*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (122*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 0}, {3, 0}, {0, 0}, 1] -> (-13*Pi^4)/2916 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/2 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {3, 0}, {3, 1}, {1, 0}, 1] -> (-5*Pi^4)/11664 + 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{1, 0}, {3, 0}, {3, 1}, {2, 0}, 1] -> (101*Pi^4)/23328 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (13*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (4777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (659*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 0}, {3, 1}, {3, 0}, 1] -> 
  (283*Pi^4)/69984 - (Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/32 + (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (14*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (14*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{1, 0}, {3, 0}, {3, 1}, {3, 1}, 1] -> 
  (-281*Pi^4)/174960 + (11*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 - (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (3*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {3, 0}, {3, 1}, {6, 0}, 1] -> (407*Pi^4)/81648 + 
   (5*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (7127*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (17*Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    7560 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 + (3721*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (19*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (4087*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (209*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (1283*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (179*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (21295*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (137*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (20377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (5067*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2687*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (53597*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (4653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (14347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (215*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (179*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (313*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 0}, {3, 1}, {6, 1}, 1] -> (709*Pi^4)/408240 - 
   (23*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) - (1153*Pi^3*H[{2, 0}, 1])/
    (204120*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (11*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (149*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 - (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (149*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (37*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (389*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (139*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (769*H[{3, 0}, {0, 0}, 1]^2)/
    3360 + (233*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (137*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2651*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (163*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (535631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (22693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (15313*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (33317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (2733*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (46*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (361*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {3, 0}, {6, 0}, {1, 0}, 1] -> (53*Pi^4)/408240 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (17503*Pi^3*H[{2, 0}, 1])/
    (1224720*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    420 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (331*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (967*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (215*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   2*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1663*H[{3, 0}, {0, 0}, 1]^2)/6720 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/630 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(315*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (72493*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5400*Sqrt[3]) - 
   (3043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1951*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (51083*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (307*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (169*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (34*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 0}, {2, 0}, 1] -> (13*Pi^4)/6804 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (15917*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) - (11*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/162 + 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 + (929*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (9157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (251*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (6401*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (571*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (703*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (3011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) + 
   (291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (951*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 0}, {3, 0}, 1] -> (139*Pi^4)/204120 + 
   (4*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (151*Pi^3*H[{2, 0}, 1])/
    (3402*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (827*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (167*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (563*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 0}, {3, 1}, 1] -> (947*Pi^4)/816480 - 
   (2*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (45709*Pi^3*H[{2, 0}, 1])/
    (1224720*Sqrt[3]) + (7*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/162 + 
   (19*Pi^2*H[{2, 0}, 1]^2)/972 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (227*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    54 - (5309*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3083*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3217*H[{3, 0}, {0, 0}, 1]^2)/3360 - (361*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (7639*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (115*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (2075*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (97*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (3217931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) + 
   (44731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (623*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(480*Sqrt[3]) + 
   (401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2479*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (157*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (202*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (353*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 0}, {6, 0}, 1] -> (-149*Pi^4)/1224720 + 
   (11*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (389*Pi^3*H[{2, 0}, 1])/
    (13608*Sqrt[3]) + (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/324 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (8*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (3755*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (685*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (241*H[{3, 0}, {0, 0}, 1]^2)/336 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (8*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (55*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (115*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 0}, {6, 1}, 1] -> (-10403*Pi^4)/2449440 + 
   (4*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (15019*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (11*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - (571*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/54 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (10253*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (1669*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (283*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (12143*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (32*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 - (9173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (2357*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (2090713*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (9277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (13*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (47513*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2237*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (1467*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (187*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (241*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 0}, {0, 0}, 1] -> (-49*Pi^4)/58320 + 
   (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/18 + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 - (Pi^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 1}, {1, 0}, 1] -> (-311*Pi^4)/58320 + 
   (65*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) - (26891*Pi^3*H[{2, 0}, 1])/
    (349920*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (Pi^2*H[{2, 0}, 1]^2)/486 - (65*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (1513*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 - 
   (19*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (443*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (235*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (581*H[{3, 0}, {0, 0}, 1]^2)/1920 - (Pi^2*H[{3, 1}, {2, 0}, 1])/180 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2160*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (12323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) - 
   (135*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(45*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1667*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (269*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (29*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (14*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {3, 0}, {6, 1}, {2, 0}, 1] -> 
  (-185*Pi^4)/40824 + (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (29147*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (35*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 + (929*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/108 + (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (3121*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5869*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (65*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (7241*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (443*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1159*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (67*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (47077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (383*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (4*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (20389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (2361*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (557*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 1}, {3, 0}, 1] -> (733*Pi^4)/816480 + 
   (5*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (281*Pi^3*H[{2, 0}, 1])/
    (13608*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (85*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (449*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (1159*H[{3, 0}, {0, 0}, 1]^2)/1344 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1007*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (676*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 1}, {3, 1}, 1] -> (-1037*Pi^4)/272160 + 
   (83*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (22061*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (11*Pi^2*H[{2, 0}, 1]^2)/972 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (293*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 + (2683*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (2573*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1728*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (29*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (897*H[{3, 0}, {0, 0}, 1]^2)/4480 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (7943*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (227*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (93*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (209*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (39731*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) - 
   (3011*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2497*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (23327*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (381*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 0}, {6, 1}, {6, 0}, 1] -> (3727*Pi^4)/349920 - 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + (2801*Pi^3*H[{2, 0}, 1])/
    (116640*Sqrt[3]) + (13*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (17*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 + (431*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3240 + (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/54 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 - (1117*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (2327*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (793*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (3223*H[{3, 0}, {0, 0}, 1]^2)/
    1920 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/30 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (5813*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1715*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1252891*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (32673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (1927*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (77249*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1067*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4399*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (1467*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 1}, {6, 1}, 1] -> (-697*Pi^4)/612360 + 
   (17*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (3509*Pi^3*H[{2, 0}, 1])/
    (272160*Sqrt[3]) + (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (7*Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (17*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (853*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (2783*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (2273*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (337*H[{3, 0}, {0, 0}, 1]^2)/4480 - (286*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (11023*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (3995*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (159317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (13453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (14149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (66181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (327*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {6, 1}, {0, 0}, 1] -> (-479*Pi^4)/116640 + 
   (43*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    36 - (43*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (265*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (22301*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (2439*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (881*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 0}, {0, 0}, {1, 0}, 1] -> 
  (11*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1], H[{1, 0}, {3, 0}, {0, 0}, {2, 0}, 1] -> 
  (Pi^2*H[{3, 0}, {0, 0}, 1])/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1], H[{1, 0}, {3, 0}, {0, 0}, {3, 0}, 1] -> 
  (5*Pi^4)/729 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (26*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2818*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {0, 0}, {3, 1}, 1] -> (-7*Pi^4)/1458 + 
   (2*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/2 + (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (881*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {0, 0}, {6, 0}, 1] -> (79*Pi^4)/5832 - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 + (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (338*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 0}, {0, 0}, {6, 1}, 1] -> (19*Pi^4)/5670 - 
   (19*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (611*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (13*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (713*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (461*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (313*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (67*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 0}, {0, 0}, {0, 0}, 1] -> (-2*Pi^4)/729 + 
   (4*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/6 - 2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 1}, {1, 0}, {1, 0}, 1] -> (293*Pi^4)/9720 - 
   (23*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (23*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi^2*H[{3, 1}, 1]^2)/9 + (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/6 - 
   H[{3, 1}, 1]^4/8 + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (27*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (2201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (396*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {3, 1}, {1, 0}, {2, 0}, 1] -> (-587*Pi^4)/272160 + 
   (185*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (144*Sqrt[3]) - (20*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (Pi^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + 
   (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (1439*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (375*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (37*H[{3, 0}, {0, 0}, 1]^2)/56 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (1129*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (116041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (1707*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (8611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (6653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(80*Sqrt[3]) + 
   (2729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {1, 0}, {3, 0}, 1] -> (11*Pi^4)/3888 - 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/4 + (28*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {3, 1}, {1, 0}, {3, 1}, 1] -> (41*Pi^4)/4860 + 
   (Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/9 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/6 - H[{3, 1}, 1]^4/8 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/8 + 
   (16*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (56*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 1}, {1, 0}, {6, 0}, 1] -> (-6743*Pi^4)/1224720 - 
   (11*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (6043*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (85*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    840 - (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (2*Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (1151*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4032 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3077*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - (1927*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (841*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (10853*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (21961*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) - 
   (1699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (23*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (6799*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (124*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (292*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (841*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {1, 0}, {6, 1}, 1] -> (107*Pi^4)/43740 - 
   (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + (1883*Pi^3*H[{2, 0}, 1])/
    (116640*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (73*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/192 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5357*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (191*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (107*H[{3, 0}, {0, 0}, 1]^2)/
    640 + (161*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45*Sqrt[3]) - (77*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (827*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (33*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (26801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (3009*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (211*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (21*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {3, 1}, {1, 0}, {0, 0}, 1] -> 
  (11*Pi^4)/540 - (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    18 + (5*Pi^2*H[{3, 1}, 1]^2)/36 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (21*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (7799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (2833*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {3, 1}, {2, 0}, {1, 0}, 1] -> (17*Pi^4)/272160 - 
   (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) - (2311*Pi^3*H[{2, 0}, 1])/
    (81648*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (Pi^2*H[{3, 1}, 1]^2)/24 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (4439*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (2477*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (191*H[{3, 0}, {0, 0}, 1]^2)/112 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (2159*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (73*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (6389*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1260*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7811*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (6253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 1}, {2, 0}, {2, 0}, 1] -> (-11*Pi^4)/4860 - 
   (11*Pi^3*H[{2, 0}, 1])/(864*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/72 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    8 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/576 + 
   (667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (89*H[{3, 0}, {0, 0}, 1]^2)/
    128 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (140*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) - 
   (1849*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {3, 1}, {2, 0}, {3, 0}, 1] -> (-5*Pi^4)/972 + 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (67*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (19*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (571*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (219*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 1}, {2, 0}, {3, 1}, 1] -> 
  (53*Pi^4)/7560 - (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 + (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/4 - (25*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/2 + 
   (82*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (1789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (271*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {3, 1}, {2, 0}, {6, 0}, 1] -> (-1831*Pi^4)/408240 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - (84163*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (13*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (7*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 - 
   (431*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + (5*Pi^2*H[{3, 1}, 1]^2)/108 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (313*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5539*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (29*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (3463*H[{3, 0}, {0, 0}, 1]^2)/4480 + (1049*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (11*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (20987*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (55*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (137*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (19141*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (901*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {3, 1}, {2, 0}, {6, 1}, 1] -> 
  (221*Pi^4)/116640 - (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - 
   (1487*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) + 
   (8*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/90 + 
   (17*Pi^2*H[{3, 1}, 1]^2)/216 - (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (4405*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (249*H[{3, 0}, {0, 0}, 1]^2)/
    80 - (191*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{3, 1}, {2, 0}, 1]^2)/2 - (2459*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (143*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (49*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (304873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (8209*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (4553*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (216*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (8*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {2, 0}, {0, 0}, 1] -> (79*Pi^4)/30240 - 
   (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/24 - 
   (283*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (465*H[{3, 0}, {0, 0}, 1]^2)/224 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (155*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (3563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) + 
   (9147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {3, 1}, {3, 0}, {1, 0}, 1] -> (7*Pi^4)/3888 - 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{1, 0}, {3, 1}, {3, 0}, {2, 0}, 1] -> 
  Pi^4/7776 - (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - 
   (77*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (4813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 1}, {3, 0}, {3, 0}, 1] -> 
  (-259*Pi^4)/349920 - (Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {3, 1}, {3, 0}, {3, 1}, 1] -> (307*Pi^4)/69984 - 
   (11*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + 
   (Pi^2*H[{3, 1}, 1]^2)/108 - (85*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, 1]^2/32 - 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {3, 1}, {3, 0}, {6, 0}, 1] -> (1781*Pi^4)/408240 - 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (19669*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/162 - 
   (19*Pi^2*H[{2, 0}, 1]^2)/1944 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (479*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    54 - (2125*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5675*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (6551*H[{3, 0}, {0, 0}, 1]^2)/13440 - (149*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (8*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3763*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2337913*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) - 
   (22913*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (14281*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (35*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (61801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (2083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (361*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (143*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (117*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 1}, {3, 0}, {6, 1}, 1] -> (947*Pi^4)/272160 - 
   (37*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) + (5291*Pi^3*H[{2, 0}, 1])/
    (122472*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (17*Pi^2*H[{2, 0}, 1]^2)/1944 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (37*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (3449*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (4237*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (319*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (325*H[{3, 0}, {0, 0}, 1]^2)/448 - (101*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) + (47*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (319*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (39553*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) - 
   (383*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (125*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (451*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1193*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (531*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (368*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {3, 0}, {0, 0}, 1] -> (11*Pi^4)/2916 - 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {3, 1}, {3, 1}, {1, 0}, 1] -> (-2*Pi^4)/729 - 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/6 - H[{3, 1}, 1]^4/8 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/8 + (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    54 - (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {3, 1}, {3, 1}, {2, 0}, 1] -> (-113*Pi^4)/23328 + 
   (Pi^3*H[{1, 0}, 1])/(144*Sqrt[3]) - (395*Pi^3*H[{2, 0}, 1])/
    (23328*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 + 
   (Pi^2*H[{3, 1}, 1]^2)/24 - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (391*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (15049*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/128 + (Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/4 - 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (184829*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1713*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (1417*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (881*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (74*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {3, 1}, {3, 1}, {3, 0}, 1] -> (-389*Pi^4)/174960 + 
   (11*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, 1]^2/16 + (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {3, 1}, {3, 1}, {3, 1}, 1] -> (137*Pi^4)/349920 - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]^3)/6 - H[{3, 1}, 1]^4/8 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {3, 1}, {3, 1}, {6, 0}, 1] -> (-269*Pi^4)/69984 + 
   (7*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (1157*Pi^3*H[{2, 0}, 1])/
    (69984*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (29*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (2*Pi*H[{3, 1}, 1]^3)/
    (9*Sqrt[3]) + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (677*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (8681*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + (3*H[{3, 0}, {0, 0}, 1]^2)/128 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/324 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) + (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(540*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (18527*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (541*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2099*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/160 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (607*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (23*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (143*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {3, 1}, {6, 1}, 1] -> (-737*Pi^4)/349920 + 
   (47*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (4411*Pi^3*H[{2, 0}, 1])/
    (174960*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 - 
   (7*Pi^2*H[{2, 0}, 1]^2)/972 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (6*Sqrt[3]) + (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + (245*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1944 - (35*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (473*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (109*H[{3, 0}, {0, 0}, 1]^2)/
    960 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(270*Sqrt[3]) + 
   (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (359171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) + 
   (1793*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1217*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1133*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (29*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (341*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 1}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/540 + (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    18 + (5*Pi^2*H[{3, 1}, 1]^2)/36 + (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (5*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-719*Pi^4)/81648 + 
   (Pi^3*H[{1, 0}, 1])/(432*Sqrt[3]) + (169877*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 - 
   (Pi^2*H[{2, 0}, 1]^2)/486 - (49*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (139*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2520 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (20765*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (3019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (223*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (8233*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (191*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (751*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1680*Sqrt[3]) + (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (187*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (2012*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(945*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (19*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (13*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (118*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (493*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (941*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (164*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {3, 1}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/2268 + (17*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - 
   (29147*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (31*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + (7*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 - (929*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (5*Pi^2*H[{3, 1}, 1]^2)/108 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (1499*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (121*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (29*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7661*H[{3, 0}, {0, 0}, 1]^2)/13440 + (443*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1817*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (89*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (261427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (1683*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (4*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (129*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 0}, {3, 0}, 1] -> (-89*Pi^4)/816480 + 
   (Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (22511*Pi^3*H[{2, 0}, 1])/
    (1224720*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 + 
   (11*Pi^2*H[{2, 0}, 1]^2)/972 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - (379*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (8*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    27 + (2993*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (388*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (261*H[{3, 0}, {0, 0}, 1]^2)/
    280 + (653*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (3433*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (115*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (5521*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (2628319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) + 
   (28319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2137*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2027*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (386*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (239*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (134*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {6, 0}, {3, 1}, 1] -> (-37*Pi^4)/9072 - 
   (7*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) + (25*Pi^3*H[{2, 0}, 1])/
    (1512*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (23*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 - (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - 
   (3389*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (2207*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (137*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (767*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7*Sqrt[3]) - (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (403*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (149*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (22283*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (1269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (15011*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (493*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (73*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {6, 0}, {6, 0}, 1] -> (13697*Pi^4)/2449440 + 
   (5*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (1619*Pi^3*H[{2, 0}, 1])/
    (272160*Sqrt[3]) - (23*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(18*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 + (853*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (6647*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (4493*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11791*H[{3, 0}, {0, 0}, 1]^2)/13440 + (134*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (103*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (47323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (12377*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (38897*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (191*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (59*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (111*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 0}, {6, 1}, 1] -> (599*Pi^4)/122472 - 
   (37*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) + (17501*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + (11*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    108 + (143*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (5*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (7*Pi^2*H[{3, 1}, 1]^2)/108 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (2467*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (397*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (309*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (449*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (10823*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (8*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (397*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (200299*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (1045*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (16069*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (4343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8159*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (827*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (407*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {3, 1}, {6, 0}, {0, 0}, 1] -> 
  (59*Pi^4)/116640 - (13*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (169*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (13*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (22949*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1343*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (5149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (589*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 1}, {6, 1}, {1, 0}, 1] -> 
  (1487*Pi^4)/204120 - (41*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + 
   (210499*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (31*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 + (461*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (2239*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (25133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (1909*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (143*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (3119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (67*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (109*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (28657*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(15120*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (6703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (233*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (1163*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (289*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {3, 1}, {6, 1}, {2, 0}, 1] -> (13133*Pi^4)/816480 + 
   (7*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (1087*Pi^3*H[{2, 0}, 1])/
    (102060*Sqrt[3]) - (41*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + 
   (109*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (17*Pi^2*H[{3, 1}, 1]^2)/216 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (391*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (18377*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (611*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (59*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (209*H[{3, 0}, {0, 0}, 1]^2)/
    1680 + (617*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (12769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (1087*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (304873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (11409*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5419*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4987*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (361*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {6, 1}, {3, 0}, 1] -> (-37*Pi^4)/68040 + 
   (83*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (113299*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + 
   (7*Pi^2*H[{2, 0}, 1]^2)/972 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (37*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (953*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    27 - (27445*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (91*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (1225*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1728*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (31*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (15809*H[{3, 0}, {0, 0}, 1]^2)/13440 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/4 + 
   (5717*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (227*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (4213*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1570903*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) - 
   (24303*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (619*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (77401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (2083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6785*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (1487*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (457*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (1073*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (179*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (389*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {6, 1}, {3, 1}, 1] -> (3739*Pi^4)/816480 - 
   (47*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) + (223*Pi^3*H[{2, 0}, 1])/
    (4536*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (29*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - (1117*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (35*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (391*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (549*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (22*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (2969*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (11071*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (2511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (123*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (497*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (731*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1409*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (151*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {3, 1}, {6, 1}, {6, 0}, 1] -> (-16337*Pi^4)/2449440 + 
   (11*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) - (2279*Pi^3*H[{2, 0}, 1])/
    (102060*Sqrt[3]) - (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 - 
   (11*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (131*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (269*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (1181*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (457*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (3981*H[{3, 0}, {0, 0}, 1]^2)/2240 + (487*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (98569*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (433*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (447317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (8311*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (4309*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (92563*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (2249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (655*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (123*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (296*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (397*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (191*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 1}, {6, 1}, 1] -> (8471*Pi^4)/2449440 - 
   (13*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (212*Pi^3*H[{2, 0}, 1])/
    (8505*Sqrt[3]) - (11*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (Pi^2*H[{2, 0}, 1]^2)/324 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    54 - (439*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (197*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (6637*H[{3, 0}, {0, 0}, 1]^2)/6720 + (206*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (781*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (77*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (4819*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (2013*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1097*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (1199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (183*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (307*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (193*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {6, 1}, {0, 0}, 1] -> (211*Pi^4)/18144 - 
   (25*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (41*Pi^3*H[{2, 0}, 1])/
    (1512*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (65*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (415*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (871*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1613*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (999*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {3, 1}, {0, 0}, {1, 0}, 1] -> (11*Pi^4)/1620 - 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/12 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/16 + (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (15319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (2091*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {3, 1}, {0, 0}, {2, 0}, 1] -> (-593*Pi^4)/272160 + 
   (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) - (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/12 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 - (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (183*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (2977*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2688*Sqrt[3]) - 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (19*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (463*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (132289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (5309*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (10163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (161*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (11827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) + 
   (3809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {3, 1}, {0, 0}, {3, 0}, 1] -> 
  -Pi^4/1458 + (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2347*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{1, 0}, {3, 1}, {0, 0}, {3, 1}, 1] -> 
  Pi^4/270 - (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    18 - (Pi^2*H[{3, 1}, 1]^2)/36 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1], H[{1, 0}, {3, 1}, {0, 0}, {6, 0}, 1] -> 
  (-437*Pi^4)/68040 - (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/
    (72*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (347*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (275*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (466*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {3, 1}, {0, 0}, {6, 1}, 1] -> (-463*Pi^4)/816480 - 
   (Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (25*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (187*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (395*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (125*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (1727*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (44*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (193*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {3, 1}, {0, 0}, {0, 0}, 1] -> (349*Pi^4)/29160 - 
   (2*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + (9*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {6, 0}, {1, 0}, {1, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(18*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {1, 0}, {2, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - 
   (7*Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (31*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {6, 0}, {1, 0}, {3, 0}, 1] -> 
  (-157*Pi^4)/9072 - (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (7697*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - 
   (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - 
   (577*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (779*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (2223*H[{3, 0}, {0, 0}, 1]^2)/2240 + (761*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (840*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (6497*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (25681*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (2549*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {1, 0}, {3, 1}, 1] -> (559*Pi^4)/102060 + 
   (5*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (677*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (49*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + 
   (1087*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (697*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (1063*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (803*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (13*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (873*H[{3, 0}, {0, 0}, 1]^2)/4480 - (911*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (3497*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (5087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (23*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (757*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (181*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (771*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 0}, {1, 0}, {6, 0}, 1] -> 
  (-55*Pi^4)/2916 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (26*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {1, 0}, {6, 1}, 1] -> (-55*Pi^4)/5832 - 
   (205*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/8 + (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {6, 0}, {1, 0}, {0, 0}, 1] -> 
  (Pi^3*H[{1, 0}, 1])/(18*Sqrt[3]) - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/162 - (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + 
   (7*Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^3*H[{3, 1}, 1])/(9*Sqrt[3]) + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*
     H[{3, 1}, 1])/(3*Sqrt[3]) + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (41*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {6, 0}, {2, 0}, {2, 0}, 1] -> 
  Pi^4/972 + (5*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (31*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {6, 0}, {2, 0}, {3, 0}, 1] -> (29*Pi^4)/9072 + 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (3823*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) + (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - 
   (1343*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (559*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (1429*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (4913*H[{3, 0}, {0, 0}, 1]^2)/2240 + (199*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) - (23*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (3617*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5371*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1247*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) - 
   (429*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (163*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, {3, 1}, 1] -> (31*Pi^4)/68040 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (16963*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + 
   (1853*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (33*Pi^2*H[{3, 0}, {0, 0}, 1])/448 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (107*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (307*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7663*H[{3, 0}, {0, 0}, 1]^2)/4480 - (559*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (55*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (48077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (3943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6953*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (73*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (351*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, {6, 0}, 1] -> (13*Pi^4)/1458 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) - (17*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, {6, 1}, 1] -> 
  (4*Pi^4)/729 - (Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (85*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (17*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (383*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 0}, {1, 0}, 1] -> (-53*Pi^4)/408240 + 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - (17503*Pi^3*H[{2, 0}, 1])/
    (1224720*Sqrt[3]) + (4*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/243 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    420 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (1843*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (967*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   2*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11743*H[{3, 0}, {0, 0}, 1]^2)/6720 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(315*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (72493*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5400*Sqrt[3]) + 
   (3043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1951*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (51083*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (307*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (169*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (34*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 0}, {3, 0}, {2, 0}, 1] -> 
  -Pi^4/486 + (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - 
   (8*Pi^3*H[{2, 0}, 1])/(405*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    54 + (2*Pi^2*H[{2, 0}, 1]^2)/81 - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    270 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (Pi^2*H[{3, 0}, {0, 0}, 1])/
    27 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (664*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/480 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/270 - 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (197*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/10 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (411*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (293*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-977*Pi^4)/1224720 + 
   (Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (253*Pi^3*H[{2, 0}, 1])/
    (13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (691*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (233*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/168 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 0}, {3, 0}, {3, 1}, 1] -> (-8237*Pi^4)/1224720 + 
   (Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (76271*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/162 - 
   (11*Pi^2*H[{2, 0}, 1]^2)/1944 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - 
   (3127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    54 + (15655*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (14827*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13231*H[{3, 0}, {0, 0}, 1]^2)/13440 + (1091*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (8*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (14009*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (256723*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(120960*Sqrt[3]) - 
   (879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2383*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2533*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (353*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (161*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (458*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-1187*Pi^4)/204120 - 
   (5*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + (37*Pi^3*H[{2, 0}, 1])/
    (567*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (6415*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (319*H[{3, 0}, {0, 0}, 1]^2)/224 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(252*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 0}, {6, 1}, 1] -> (-731*Pi^4)/816480 - 
   (2*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (659*Pi^3*H[{2, 0}, 1])/
    (22680*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (613*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (3851*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 + (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (529*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (12269*H[{3, 0}, {0, 0}, 1]^2)/6720 + (613*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (4141*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (6037*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) - 
   (1627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (201*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-91*Pi^4)/9720 - 
   (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/18 - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/16 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (1109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - 4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 1}, {1, 0}, 1] -> (719*Pi^4)/81648 - 
   (23*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) - (169877*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) - (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (Pi^2*H[{2, 0}, 1]^2)/486 + (49*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (139*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2520 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - 
   (8669*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (43*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (3019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (223*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (18313*H[{3, 0}, {0, 0}, 1]^2)/13440 - (191*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (751*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1680*Sqrt[3]) - (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (187*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (2012*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(945*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (11*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (118*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (493*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (941*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (164*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 0}, {3, 1}, {2, 0}, 1] -> 
  (2027*Pi^4)/816480 - (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + 
   (451*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    108 - (Pi^2*H[{2, 0}, 1]^2)/81 + (86*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (373*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3719*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (529*H[{3, 0}, {0, 0}, 1]^2)/1680 - (86*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) - (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 - 
   (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7*Sqrt[3]) - 
   (557*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (257*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (155*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {6, 0}, {3, 1}, {3, 0}, 1] -> 
  (8767*Pi^4)/1224720 - (5*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - 
   (3013*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 + 
   (799*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (1949*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (5581*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13981*H[{3, 0}, {0, 0}, 1]^2)/13440 - (137*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (4091*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (179*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (22607*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (287099*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (25231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (81719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (3117*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (391*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (691*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (398*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 0}, {3, 1}, {3, 1}, 1] -> (2299*Pi^4)/489888 + 
   (7*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) + (2015*Pi^3*H[{2, 0}, 1])/
    (489888*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (32353*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (4225*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1793*H[{3, 0}, {0, 0}, 1]^2)/2688 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (1993*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (7571*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (814313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (11373*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (947*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(480*Sqrt[3]) + 
   (621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (27017*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1371*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (18673*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (699*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (421*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 0}, {3, 1}, {6, 0}, 1] -> (7729*Pi^4)/816480 + 
   (2*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (155*Pi^3*H[{2, 0}, 1])/
    (4536*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 + 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2189*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (601*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (439*H[{3, 0}, {0, 0}, 1]^2)/1344 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (227*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (517*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 1}, {6, 1}, 1] -> (3463*Pi^4)/816480 + 
   (13*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (109*Pi^3*H[{2, 0}, 1])/
    (2835*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]^2)/108 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (673*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (11*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (559*H[{3, 0}, {0, 0}, 1]^2)/840 - (127*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (13499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (19*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (5951*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (697*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1513*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (89*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {3, 1}, {0, 0}, 1] -> (91*Pi^4)/19440 + 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (25*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (1003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (727*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 0}, {1, 0}, 1] -> 
  (2*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, 
 H[{1, 0}, {6, 0}, {6, 0}, {2, 0}, 1] -> (-1259*Pi^4)/136080 + 
   (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (143*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (1417*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (623*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) - 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (341*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) + 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {6, 0}, {6, 0}, {3, 0}, 1] -> (419*Pi^4)/136080 + 
   (23*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) - (127*Pi^3*H[{2, 0}, 1])/
    (4536*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/324 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (523*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (601*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (85*H[{3, 0}, {0, 0}, 1]^2)/112 - 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (2591*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (29*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 0}, {3, 1}, 1] -> (-1831*Pi^4)/272160 - 
   (13*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (653*Pi^3*H[{2, 0}, 1])/
    (90720*Sqrt[3]) + (17*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) - (461*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (661*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (19183*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (191*H[{3, 0}, {0, 0}, 1]^2)/13440 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (317*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) + (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (383*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (64369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (1499*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (107*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (407*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 0}, {6, 0}, 1] -> 
  (4*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {6, 0}, {6, 0}, {6, 1}, 1] -> (487*Pi^4)/204120 + 
   (5*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (32*Pi^3*H[{2, 0}, 1])/
    (2835*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (8*Pi^2*H[{3, 0}, {0, 0}, 1])/
    63 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (333*H[{3, 0}, {0, 0}, 1]^2)/560 - (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) - 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1279*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(150*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (62*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (48*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{1, 0}, {6, 0}, {6, 0}, {0, 0}, 1] -> (-49*Pi^4)/5832 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (11*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {6, 0}, {6, 1}, {1, 0}, 1] -> 
  (-1661*Pi^4)/102060 + (17*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (97*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (67*H[{3, 0}, {0, 0}, 1]^2)/28 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {2, 0}, 1] -> (-17*Pi^4)/1890 + 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (1693*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (53*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (39*H[{3, 0}, {0, 0}, 1]^2)/
    56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (689*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (14759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (5151*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (281*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {3, 0}, 1] -> (-4409*Pi^4)/816480 + 
   (4*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (27347*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (7*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - 
   (3607*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (1361*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (905*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (305*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (593*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5081*H[{3, 0}, {0, 0}, 1]^2)/13440 + (254*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (5021*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (10693*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (565547*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (69843*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (15311*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (541*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (56981*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (6229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (61*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (263*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (117*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (216*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-73*Pi^4)/12960 + 
   (11*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) - (191*Pi^3*H[{2, 0}, 1])/
    (29160*Sqrt[3]) + (17*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + 
   (5*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1620 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (95*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (251*H[{3, 0}, {0, 0}, 1]^2)/960 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (527*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) - (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (99611*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (30497*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (40171*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (4339*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(40*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (451*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {6, 0}, 1] -> (-11*Pi^4)/2916 + 
   (2*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, 1]^2/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (226*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] + 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {6, 1}, 1] -> (-491*Pi^4)/136080 + 
   (31*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (16*Pi^3*H[{2, 0}, 1])/
    (2835*Sqrt[3]) - (17*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (263*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (4849*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (2329*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (304*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {6, 1}, {0, 0}, 1] -> (-1399*Pi^4)/136080 + 
   (7*Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (179*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (141*H[{3, 0}, {0, 0}, 1]^2)/112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {1, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/16 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {2, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + H[{1, 0}, 1]*
    H[{3, 0}, {0, 0}, {2, 0}, 1] + H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 
     1] - (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {3, 0}, 1] -> (11*Pi^4)/1458 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (5*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (1097*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (129*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7933*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1037*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {3, 1}, 1] -> (29*Pi^4)/22680 + 
   (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (991*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3049*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (401*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {6, 0}, 1] -> 
  Pi^4/162 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/2 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (26*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (536*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {6, 1}, 1] -> 
  Pi^4/324 - (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (22*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 0}, {0, 0}, {0, 0}, 1] -> (5*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/4 - (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    4, H[{1, 0}, {6, 1}, {1, 0}, {1, 0}, 1] -> 
  (431*Pi^4)/22680 + (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (125*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {1, 0}, {2, 0}, 1] -> (523*Pi^4)/54432 - 
   (37*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (269*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (1271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (39*H[{3, 0}, {0, 0}, 1]^2)/224 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {1, 0}, {3, 0}, 1] -> (-2047*Pi^4)/204120 - 
   (5*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (5443*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (77*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (35*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (1483*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (383*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (4973*H[{3, 0}, {0, 0}, 1]^2)/4480 + (401*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (6593*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (791*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(240*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(90*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (208*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (213*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (821*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 1}, {1, 0}, {3, 1}, 1] -> 
  (1999*Pi^4)/136080 + (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + 
   (11059*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (31*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    36 + (4229*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (431*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5249*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1709*H[{3, 0}, {0, 0}, 1]^2)/4480 - (1537*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1901*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (77*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (9389*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (121*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (48733*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (323*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (209*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (587*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (767*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (297*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 1}, {1, 0}, {6, 0}, 1] -> 
  (-55*Pi^4)/5832 - (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - 
   (97*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/8 + (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{1, 0}, {6, 1}, {1, 0}, {6, 1}, 1] -> 
  (-31*Pi^4)/116640 - (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - 
   (167*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/32 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (10*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] + 2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 1}, {1, 0}, {0, 0}, 1] -> (1339*Pi^4)/90720 + 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    84 + (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (243*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {2, 0}, {1, 0}, 1] -> (-727*Pi^4)/38880 - 
   (Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    12 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (41*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1423*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 + 
   (91*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (8539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (2763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (229*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (3467*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (21*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - H[{3, 1}, {2, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {6, 1}, {2, 0}, {2, 0}, 1] -> 
  (139*Pi^4)/136080 + (11*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + 
   (19*Pi^3*H[{2, 0}, 1])/(2016*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    27 + (Pi^2*H[{2, 0}, 1]^2)/54 + (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/108 + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/168 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (67*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (3343*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (131*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (281*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) + (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (37*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (481*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/672 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (83689*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (23763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (261*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (7117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (2539*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{1, 0}, {6, 1}, {2, 0}, {3, 0}, 1] -> (19*Pi^4)/2160 - 
   (7*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (4429*Pi^3*H[{2, 0}, 1])/
    (116640*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (59*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (119*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3240 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (491*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 + 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (609*H[{3, 0}, {0, 0}, 1]^2)/640 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (8*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (101*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (26167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (3539*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (433*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (9019*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (503*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (201*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {2, 0}, {3, 1}, 1] -> (-67*Pi^4)/4860 - 
   (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (73*Pi^3*H[{2, 0}, 1])/
    (29160*Sqrt[3]) + (8*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (233*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (43*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (151*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (283*H[{3, 0}, {0, 0}, 1]^2)/160 + (121*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (1081*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (143*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (48149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (502*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {2, 0}, {6, 0}, 1] -> (7*Pi^4)/2916 + 
   (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (4*Pi^3*H[{2, 0}, 1])/
    (81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (227*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (323*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (27*H[{3, 0}, {0, 0}, 1]^2)/
    64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (1783*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (949*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (31*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-881*Pi^4)/40824 + 
   (17*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (Pi^3*H[{2, 0}, 1])/
    (4536*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/54 - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (131*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (739*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/2 - 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (23*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (83963*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3011*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (185*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (111*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {2, 0}, {0, 0}, 1] -> (-1703*Pi^4)/90720 + 
   (Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (449*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (597*H[{3, 0}, {0, 0}, 1]^2)/448 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (41*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (176237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (62579*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (6583*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (381*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (159*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {6, 1}, {3, 0}, {1, 0}, 1] -> (341*Pi^4)/58320 - 
   (19*Pi^3*H[{1, 0}, 1])/(432*Sqrt[3]) + (26891*Pi^3*H[{2, 0}, 1])/
    (349920*Sqrt[3]) + (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (Pi^2*H[{2, 0}, 1]^2)/486 + (77*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1080 - (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - 
   (1297*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 + 
   (43*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (443*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) - 
   (7*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (271*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (859*H[{3, 0}, {0, 0}, 1]^2)/1920 + (Pi^2*H[{3, 1}, {2, 0}, 1])/180 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2160*Sqrt[3]) - (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (12323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) + 
   (135*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(45*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1667*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (269*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (29*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (14*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 1}, {3, 0}, {2, 0}, 1] -> 
  (347*Pi^4)/816480 + (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - 
   (1013*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (275*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (1181*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (239*H[{3, 0}, {0, 0}, 1]^2)/420 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1597*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (6239*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (14561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (289*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (229*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1309*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (1019*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/140 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{1, 0}, {6, 1}, {3, 0}, {3, 0}, 1] -> 
  (3343*Pi^4)/612360 + (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + 
   (4321*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 + (Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (673*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (1121*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (6827*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1949*H[{3, 0}, {0, 0}, 1]^2)/13440 - (179*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (589*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (8407*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) - 
   (2321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4801*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (991*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (23*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 1}, {3, 0}, {3, 1}, 1] -> (-5021*Pi^4)/2449440 - 
   (25*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (461*Pi^3*H[{2, 0}, 1])/
    (30618*Sqrt[3]) + (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/1944 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (77*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (131*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (6553*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (26645*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (17*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (83*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (673*H[{3, 0}, {0, 0}, 1]^2)/1344 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (47*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (881*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (183139*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (719*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1411*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (883*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (20777*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/80 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (100*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 1}, {3, 0}, {6, 0}, 1] -> (-391*Pi^4)/816480 - 
   (2*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) + (157*Pi^3*H[{2, 0}, 1])/
    (7560*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (1177*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2669*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (1261*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7661*H[{3, 0}, {0, 0}, 1]^2)/6720 + (1177*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (5921*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (6928*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) - 
   (2007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1567*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2983*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (291*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (237*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 0}, {6, 1}, 1] -> (-671*Pi^4)/163296 - 
   (31*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (19*Pi^3*H[{2, 0}, 1])/
    (168*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/108 - (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (295*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/Sqrt[3] + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (9239*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (1489*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2971*H[{3, 0}, {0, 0}, 1]^2)/1344 + (295*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2268 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (8*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (3001*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (177727*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (1043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (380*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 0}, {0, 0}, 1] -> (-91*Pi^4)/19440 - 
   (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - (155*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 1}, {1, 0}, 1] -> (-1907*Pi^4)/204120 + 
   (25*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) - (210499*Pi^3*H[{2, 0}, 1])/
    (2449440*Sqrt[3]) + (11*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 - 
   (Pi^2*H[{2, 0}, 1]^2)/486 + (31*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - (461*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    7560 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (7*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (2297*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (119*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (25133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (4*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3131*H[{3, 0}, {0, 0}, 1]^2)/13440 + (143*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (3119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (161*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (67*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (109*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (28657*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(15120*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (6703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (233*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (1163*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (289*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 1}, {3, 1}, {2, 0}, 1] -> (569*Pi^4)/68040 + 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + (971*Pi^3*H[{2, 0}, 1])/
    (45360*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (25*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (12035*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (49*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1307*H[{3, 0}, {0, 0}, 1]^2)/6720 - (83*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2339*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (25*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (379*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(200*Sqrt[3]) - 
   (831*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (177*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 1}, {3, 0}, 1] -> (92*Pi^4)/76545 - 
   (29*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) + (731*Pi^3*H[{2, 0}, 1])/
    (25515*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 + 
   (5*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) - (77*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (257*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (323*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (407*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (11*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (337*H[{3, 0}, {0, 0}, 1]^2)/280 - (187*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (5*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (15671*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (137*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1669*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (46127*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (11663*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6437*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (20179*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5797*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (536*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (211*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (139*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (281*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (701*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{1, 0}, {6, 1}, {3, 1}, {3, 1}, 1] -> (3403*Pi^4)/2449440 + 
   (47*Pi^3*H[{1, 0}, 1])/(3888*Sqrt[3]) - (15203*Pi^3*H[{2, 0}, 1])/
    (1224720*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 + 
   (Pi^2*H[{2, 0}, 1]^2)/972 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - 
   (7487*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (35*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (163*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1829*H[{3, 0}, {0, 0}, 1]^2)/2240 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (29*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (6571*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (131909*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) - 
   (667*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (551*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (859*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (667*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (583*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (302*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{1, 0}, {6, 1}, {3, 1}, {6, 0}, 1] -> (2873*Pi^4)/816480 + 
   (11*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (247*Pi^3*H[{2, 0}, 1])/
    (5670*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (Pi^2*H[{2, 0}, 1]^2)/108 + (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/
    (9*Sqrt[3]) + (373*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/3 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2459*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (1111*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (11*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/105 - (373*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (69359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(181440*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (19*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (36569*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (771*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (227*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (38*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (961*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (164*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (571*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (237*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 1}, {6, 1}, 1] -> (-767*Pi^4)/163296 + 
   (13*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (221*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/54 - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(3*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (7129*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (77*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (60551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (2063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {3, 1}, {0, 0}, 1] -> (-757*Pi^4)/272160 + 
   (7*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (41*Pi^3*H[{2, 0}, 1])/
    (1512*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (739*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (359*H[{3, 0}, {0, 0}, 1]^2)/448 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (523*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) - 
   (669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (7649*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (711*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (49*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {6, 0}, {1, 0}, 1] -> (1661*Pi^4)/102060 - 
   (17*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/
    (1134*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (71*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/3888 - (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + 
   (17*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 - (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (143*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (49*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (35803*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (11001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (6757*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (673*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 0}, {3, 0}, 1] -> (8189*Pi^4)/816480 + 
   (5*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) + (5801*Pi^3*H[{2, 0}, 1])/
    (816480*Sqrt[3]) - (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/108 + 
   (Pi^2*H[{2, 0}, 1]^2)/72 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(18*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/18 + 
   (4741*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (457*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5849*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (625*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (593*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (31303*H[{3, 0}, {0, 0}, 1]^2)/13440 - (317*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 + (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9727*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (13*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (20327*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (28571*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (1579*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (18787*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (1699*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (171*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (258*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 0}, {3, 1}, 1] -> (-439*Pi^4)/272160 - 
   (55*Pi^3*H[{1, 0}, 1])/(1944*Sqrt[3]) + (21349*Pi^3*H[{2, 0}, 1])/
    (408240*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 - 
   (1021*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (127*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (593*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (11*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2153*H[{3, 0}, {0, 0}, 1]^2)/6720 + (124*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (10403*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (8*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3701*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (49*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (96013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (32031*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (755*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (8213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3360*Sqrt[3]) - 
   (821*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1117*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (541*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/70 - 
   (177*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{1, 0}, {6, 1}, {6, 0}, {6, 0}, 1] -> 
  (719*Pi^4)/102060 - (Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - 
   (32*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/
    27 - (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (10*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/70 + (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (793*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3029*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (431*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 - 
   (116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{1, 0}, {6, 1}, {6, 0}, {6, 1}, 1] -> (2663*Pi^4)/408240 - 
   (19*Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) + (10*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/27 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (1775*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (127*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (1417*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 0}, {0, 0}, 1] -> (767*Pi^4)/408240 - 
   (19*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (197*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (4*H[{3, 0}, {0, 0}, 1]^2)/7 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (475*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 1}, {1, 0}, 1] -> 
  -Pi^4/2592 + (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {6, 1}, {6, 1}, {2, 0}, 1] -> (277*Pi^4)/38880 - 
   (7*Pi^3*H[{1, 0}, 1])/(1296*Sqrt[3]) + (11*Pi^3*H[{2, 0}, 1])/
    (2592*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/27 - 
   (Pi^2*H[{2, 0}, 1]^2)/54 + (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/36 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    216 + (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (187*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (269*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (17*H[{3, 0}, {0, 0}, 1]^2)/
    128 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (23*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (329*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(480*Sqrt[3]) + 
   (189*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{1, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (122*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 1}, {3, 0}, 1] -> (979*Pi^4)/272160 + 
   (5*Pi^3*H[{1, 0}, 1])/(243*Sqrt[3]) - (6037*Pi^3*H[{2, 0}, 1])/
    (90720*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/81 - 
   (Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(9*Sqrt[3]) + 
   (359*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + 
   (4*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{2, 0}, 1]^2*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (2689*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (2203*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (18211*H[{3, 0}, {0, 0}, 1]^2)/13440 - 
   (127*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (4*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - H[{3, 1}, {2, 0}, 1]^2/12 + 
   (2731*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (17*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (13841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (659*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (1459*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3360*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/224 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (389*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 1}, {3, 1}, 1] -> (1489*Pi^4)/272160 - 
   (13*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/140 + 
   (5*Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/324 + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{1, 0}, 1]*H[{2, 0}, 1]^2)/(6*Sqrt[3]) + 
   (163*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (2*Pi*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (337*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (7*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (1891*H[{3, 0}, {0, 0}, 1]^2)/2240 - (163*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (2*Pi*H[{1, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (8339*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (77*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (25031*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (3169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (367*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (253*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (699*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 1}, {6, 0}, 1] -> 
  (2*Pi^4)/729 + (19*Pi^3*H[{1, 0}, 1])/(972*Sqrt[3]) + 
   (Pi^3*H[{2, 0}, 1])/(540*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/90 + (Pi*H[{1, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (169*H[{3, 0}, {0, 0}, 1]^2)/
    160 - (Pi^2*H[{3, 1}, {2, 0}, 1])/90 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (4429*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (677*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (179*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (21*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {6, 1}, {6, 1}, 1] -> (11*Pi^4)/3402 + 
   (Pi^3*H[{1, 0}, 1])/(486*Sqrt[3]) - (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (97*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (185*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (1081*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (19*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {6, 1}, {0, 0}, 1] -> (551*Pi^4)/102060 + 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (277*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (109*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {6, 1}, {0, 0}, {1, 0}, 1] -> (-383*Pi^4)/90720 - 
   (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + (3*Pi^2*H[{3, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (513*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {0, 0}, {2, 0}, 1] -> (937*Pi^4)/68040 + 
   (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + (25*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (221*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (35*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (165*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/448 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (3211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (47*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (317*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (75*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {0, 0}, {3, 0}, 1] -> (1801*Pi^4)/204120 - 
   (13*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (137*Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (11*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (275*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (743*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (4157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (379*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (169*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {6, 1}, {0, 0}, {3, 1}, 1] -> (2573*Pi^4)/816480 + 
   (11*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/
    (504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) + 
   (235*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (134*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (129*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (83*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (26*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {6, 1}, {0, 0}, {6, 0}, 1] -> 
  Pi^4/324 + (Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - 
   (95*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {6, 1}, {0, 0}, {6, 1}, 1] -> (-89*Pi^4)/11340 + 
   (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 + (8*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (10*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {6, 1}, {0, 0}, {0, 0}, 1] -> (17*Pi^4)/5670 + 
   (5*Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/
    (756*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {0, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/30 - H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {1, 0}, {2, 0}, 1] -> (13*Pi^4)/1440 - 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/4 - 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{1, 0}, {0, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/324 - (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {1, 0}, {3, 1}, 1] -> (47*Pi^4)/4860 - 
   (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (1027*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {0, 0}, {1, 0}, {6, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(18*Sqrt[3]) + 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - 3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {1, 0}, {6, 1}, 1] -> (1913*Pi^4)/272160 - 
   (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (9*Pi^2*H[{3, 0}, {0, 0}, 1])/
    56 + (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (333*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {1, 0}, {0, 0}, 1] -> 
  (7*Pi^4)/360 - 2*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {2, 0}, {1, 0}, 1] -> (-3*Pi^4)/160 + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/4 + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{1, 0}, {0, 0}, {2, 0}, {2, 0}, 1] -> 
  Pi^4/480 - (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {0, 0}, {2, 0}, {3, 0}, 1] -> (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) + H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {2, 0}, {3, 1}, 1] -> (79*Pi^4)/17010 - 
   (Pi^3*H[{1, 0}, 1])/(72*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (213*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (2531*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (6639*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (4259*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (1553*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {2, 0}, {6, 0}, 1] -> 
  -Pi^4/243 + (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) - 
   (2*Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1], H[{1, 0}, {0, 0}, {2, 0}, {6, 1}, 1] -> 
  (-209*Pi^4)/8505 + (7*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (263*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (687*H[{3, 0}, {0, 0}, 1]^2)/448 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (2377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (41*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (33811*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (227*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (227*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (9383*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (228*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {0, 0}, {2, 0}, {0, 0}, 1] -> (-17*Pi^4)/1440 + 
   (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {0, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^4/324 - (Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1], H[{1, 0}, {0, 0}, {3, 0}, {2, 0}, 1] -> 
  -(Pi^2*H[{3, 0}, {0, 0}, 1])/24 - H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 
     1] - H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 0}, {3, 0}, 1] -> 
  Pi^4/1458 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    27 + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  (2*Pi^4)/729 - (Pi^3*H[{1, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/8 - (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {0, 0}, {3, 0}, {6, 0}, 1] -> (-11*Pi^4)/9720 - 
   (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/18 - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (46409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - 4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 0}, {6, 1}, 1] -> (-11*Pi^4)/19440 - 
   (Pi^3*H[{1, 0}, 1])/(27*Sqrt[3]) + (19*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (46409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  (-8*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 1}, {1, 0}, 1] -> (-31*Pi^4)/1620 + 
   (5*Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (2*Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/16 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (15319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (2091*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {0, 0}, {3, 1}, {2, 0}, 1] -> (583*Pi^4)/272160 - 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (2767*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (909*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (11947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) + 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (7*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3889*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (1363*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{1, 0}, {0, 0}, {3, 1}, {3, 0}, 1] -> (-5*Pi^4)/1458 + 
   (7*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/8 + (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/8 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{1, 0}, {0, 0}, {3, 1}, {3, 1}, 1] -> 
  Pi^4/14580 + (Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (11*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{1, 0}, {0, 0}, {3, 1}, {6, 0}, 1] -> (11*Pi^4)/19440 + 
   (7*Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - (19*Pi^3*H[{2, 0}, 1])/
    (324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (25*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (46409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {3, 1}, {6, 1}, 1] -> (-487*Pi^4)/90720 + 
   (13*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - (307*Pi^3*H[{2, 0}, 1])/
    (4536*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (247*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (137*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (197*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (11041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (145*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (4183*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (1011*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (229*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (123*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {3, 1}, {0, 0}, 1] -> (-17*Pi^4)/3240 + 
   (4*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (8*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {0, 0}, {6, 0}, {1, 0}, 1] -> -(Pi^3*H[{1, 0}, 1])/(54*Sqrt[3]) - 
   (3*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 0}, {2, 0}, 1] -> 
  Pi^4/243 - (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + 
   (2*Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 0}, {3, 0}, 1] -> (137*Pi^4)/19440 + 
   (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/18 + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108 - (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (32033*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (3987*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (443*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (3049*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 0}, {3, 1}, 1] -> (-137*Pi^4)/38880 - 
   (13*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + (19*Pi^3*H[{2, 0}, 1])/
    (324*Sqrt[3]) + (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (383*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 + (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (5309*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (651*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (227*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3049*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (1409*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (155*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {0, 0}, {6, 0}, {6, 0}, 1] -> 
  (7*Pi^4)/648 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {0, 0}, {6, 0}, {6, 1}, 1] -> 
  (1823*Pi^4)/408240 - (19*Pi^3*H[{1, 0}, 1])/(324*Sqrt[3]) - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   2*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 0}, {0, 0}, 1] -> 
  (-10*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{1, 0}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-37*Pi^4)/90720 - 
   (Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) - (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + (Pi^2*H[{3, 0}, {0, 0}, 1])/56 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (513*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {6, 1}, {2, 0}, 1] -> (289*Pi^4)/17010 - 
   (5*Pi^3*H[{1, 0}, 1])/(216*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/
    (1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (Pi^2*H[{1, 0}, 1]*H[{3, 1}, 1])/9 + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (395*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (1195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (285*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (699*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (2033*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3360*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (35*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (33811*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (12337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (10057*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (317*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (88*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {6, 1}, {3, 0}, 1] -> (137*Pi^4)/38880 + 
   (37*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) - (19*Pi^3*H[{2, 0}, 1])/
    (324*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/36 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (235*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (17*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (10741*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (1279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (5*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (751*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1657*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{1, 0}, {0, 0}, {6, 1}, {3, 1}, 1] -> 
  (529*Pi^4)/136080 - (25*Pi^3*H[{1, 0}, 1])/(648*Sqrt[3]) + 
   (277*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{1, 0}, 1]*H[{2, 0}, 1])/
    36 - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (907*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Sqrt[3]*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (671*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{1, 0}, 1]*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (709*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (13*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (75121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (8669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5779*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (1111*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{1, 0}, {0, 0}, {6, 1}, {6, 0}, 1] -> (2587*Pi^4)/408240 + 
   (5*Pi^3*H[{1, 0}, 1])/(108*Sqrt[3]) + (17*Pi^3*H[{2, 0}, 1])/
    (2268*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (305*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (5*Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{1, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (65*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (275*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{1, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{1, 0}, {0, 0}, {6, 1}, {6, 1}, 1] -> (127*Pi^4)/12960 - 
   (Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/32 + (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (5*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{1, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{1, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{1, 0}, {0, 0}, {6, 1}, {0, 0}, 1] -> 
  (127*Pi^4)/12960 - (5*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (27*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (2*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{1, 0}, {0, 0}, {0, 0}, {1, 0}, 1] -> 
  -Pi^4/72 + H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/72 - (3*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - H[{2, 0}, {0, 0}, {0, 0}, 
    {1, 0}, 1], H[{1, 0}, {0, 0}, {0, 0}, {3, 0}, 1] -> 
  (4*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - 2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {0, 0}, {0, 0}, {3, 1}, 1] -> (11*Pi^4)/1944 - 
   (2*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) - (9*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (4*H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2, 
 H[{1, 0}, {0, 0}, {0, 0}, {6, 0}, 1] -> (5*Pi^3*H[{1, 0}, 1])/(81*Sqrt[3]) + 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{1, 0}, {0, 0}, {0, 0}, {6, 1}, 1] -> (-463*Pi^4)/68040 + 
   (5*Pi^3*H[{1, 0}, 1])/(162*Sqrt[3]) - (5*Pi^3*H[{2, 0}, 1])/
    (756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {1, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/288 - (Pi^2*H[{2, 0}, 1]^2)/24 + H[{2, 0}, 1]^4/24 - 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{2, 0}, {1, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/648 - (5*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {1, 0}, {3, 1}, 1] -> 
  -Pi^4/162 - (23*Pi^3*H[{2, 0}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/6 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {1, 0}, {6, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/32 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {1, 0}, {1, 0}, {6, 1}, 1] -> (-143*Pi^4)/90720 - 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (73*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (1835*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (9*H[{3, 0}, {0, 0}, 1]^2)/224 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (57*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (2323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) - 
   (5137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1489*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {2, 0}, {1, 0}, 1] -> 
  Pi^4/1440 - (Pi^2*H[{2, 0}, 1]^2)/24 + H[{2, 0}, 1]^4/24 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{2, 0}, {1, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/120 - (Pi^2*H[{2, 0}, 1]^2)/24 + H[{2, 0}, 1]^4/24 - 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {1, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{2, 0}, {1, 0}, {2, 0}, {3, 1}, 1] -> 
  -(Pi^3*H[{2, 0}, 1])/(144*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (Pi^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/486 - (7*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {2, 0}, {6, 1}, 1] -> (449*Pi^4)/45360 - 
   (323*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (71*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (821*H[{3, 0}, {0, 0}, 1]^2)/448 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2 + 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (1591*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (22633*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1459*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (1157*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 0}, {1, 0}, 1] -> 
  -Pi^4/432 + (Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^3*H[{3, 1}, 1])/(24*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/8 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (265*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {3, 0}, {2, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, 1]^2/32 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{2, 0}, {1, 0}, {3, 0}, {3, 0}, 1] -> 
  (-7*Pi^4)/1458 + (Pi^2*H[{2, 0}, 1]^2)/108 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    144 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {3, 0}, {3, 1}, 1] -> (5*Pi^4)/5832 + 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    8 + (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (7*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (14797*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (2033*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{2, 0}, {1, 0}, {3, 0}, {6, 0}, 1] -> (-599*Pi^4)/58320 - 
   (11*Pi^3*H[{2, 0}, 1])/(810*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/270 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    3 + (35*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (17*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (101*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (291*H[{3, 0}, {0, 0}, 1]^2)/160 + (Pi^2*H[{3, 1}, {2, 0}, 1])/10 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (265*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (667*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (14089*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {1, 0}, {3, 0}, {6, 1}, 1] -> (-163*Pi^4)/38880 - 
   (197*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (251*H[{3, 0}, {0, 0}, 1]^2)/320 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (581*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (265*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (154199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (13851*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (14789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 0}, {0, 0}, 1] -> (-5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, 1]^2/8 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 1}, {1, 0}, 1] -> (2267*Pi^4)/272160 + 
   (1103*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (Pi^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (4429*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (375*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (37*H[{3, 0}, {0, 0}, 1]^2)/56 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (116041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1707*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (8611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (6653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(80*Sqrt[3]) - 
   (2729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 1}, {2, 0}, 1] -> (23*Pi^4)/13608 + 
   (Sqrt[3]*Pi^3*H[{2, 0}, 1])/112 + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (317*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2 + (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) - (2587*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(448*Sqrt[3]) + 
   (1857*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {1, 0}, {3, 1}, {3, 0}, 1] -> 
  (49*Pi^4)/11664 - (7*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/216 + (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, 1]^2/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (841*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (1151*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (783*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{2, 0}, {1, 0}, {3, 1}, {3, 1}, 1] -> (13*Pi^4)/81648 + 
   (17*Pi^3*H[{2, 0}, 1])/(1008*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + (73*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (Pi^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/4 - 
   (169*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (499*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/2 + 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (443*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (98513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (11657*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (671*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {1, 0}, {3, 1}, {6, 0}, 1] -> (469*Pi^4)/116640 + 
   (179*Pi^3*H[{2, 0}, 1])/(1080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (49*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (48*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (439*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (709*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (301*H[{3, 0}, {0, 0}, 1]^2)/320 - (77*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (791*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (265*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (143599*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (14851*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1777*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (17*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (101*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {1, 0}, {3, 1}, {6, 1}, 1] -> (-5851*Pi^4)/408240 + 
   (3571*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (551*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (269*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (68*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5721*H[{3, 0}, {0, 0}, 1]^2)/2240 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/140 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 - (151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (3203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (77*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (323*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (373*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (403*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (123*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (320*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (657*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (236*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {1, 0}, {3, 1}, {0, 0}, 1] -> (-533*Pi^4)/272160 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (71*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (25933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (823*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {1, 0}, {6, 0}, {1, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {1, 0}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/486 - (5*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 0}, {3, 0}, 1] -> (-49*Pi^4)/14580 + 
   (17*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (26*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    3 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1093*H[{3, 0}, {0, 0}, 1]^2)/480 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (253*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (1079*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (122*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (13009*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (1461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {1, 0}, {6, 0}, {3, 1}, 1] -> 
  -Pi^4/5040 - (151*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/648 + (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1105*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (14011*H[{3, 0}, {0, 0}, 1]^2)/6720 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/35 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (1109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (177007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (17663*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2413*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4951*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (3793*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3403*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (190*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (162*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 0}, {6, 0}, 1] -> (-49*Pi^4)/5832 - 
   (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (19*H[{3, 0}, {0, 0}, 1]^2)/32 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (4*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {1, 0}, {6, 0}, {6, 1}, 1] -> 
  (-493*Pi^4)/408240 - (85*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (143*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (487*H[{3, 0}, {0, 0}, 1]^2)/448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (587*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (281*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 0}, {0, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {1, 0}, {6, 1}, {1, 0}, 1] -> 
  (-397*Pi^4)/54432 - (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/72 - (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + 
   (143*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (1271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/224 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 + 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 1}, {2, 0}, 1] -> (-79*Pi^4)/4860 - 
   (61*Pi^3*H[{2, 0}, 1])/(1296*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (137*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (2521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (143*H[{3, 0}, {0, 0}, 1]^2)/64 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (22903*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (7769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (941*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (35*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {1, 0}, {6, 1}, {3, 0}, 1] -> 
  (-2713*Pi^4)/408240 + (149*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/648 - (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + 
   (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (1303*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (803*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (17*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2761*H[{3, 0}, {0, 0}, 1]^2)/6720 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (7169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (683*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (98561*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (11549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (8713*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (347*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1357*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (737*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (6*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 1}, {3, 1}, 1] -> (5137*Pi^4)/408240 + 
   (559*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (551*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (1549*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1237*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (21223*H[{3, 0}, {0, 0}, 1]^2)/6720 - (577*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2651*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (7207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (13039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (10741*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (407*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (320*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (311*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (236*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {1, 0}, {6, 1}, {6, 0}, 1] -> (-373*Pi^4)/45360 + 
   (89*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) - (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (167*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (235*H[{3, 0}, {0, 0}, 1]^2)/448 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (655*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1344*Sqrt[3]) - 
   (255*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (88*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (1303*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (110*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - 2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-5207*Pi^4)/816480 - 
   (331*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/108 - 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (631*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (257*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (221*H[{3, 0}, {0, 0}, 1]^2)/448 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (1447*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (1699*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {1, 0}, {6, 1}, {0, 0}, 1] -> (-383*Pi^4)/27216 - 
   (55*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (341*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/448 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {1, 0}, {0, 0}, {2, 0}, 1] -> 
  -Pi^4/80 + (Pi^2*H[{2, 0}, 1]^2)/24 - 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {1, 0}, {0, 0}, {3, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {1, 0}, {0, 0}, {3, 1}, 1] -> 
  (283*Pi^4)/136080 + (Pi^3*H[{2, 0}, 1])/(42*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/36 + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - 
   (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (207*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (25933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (9661*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {1, 0}, {0, 0}, {6, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/16 - (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    4 - (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {1, 0}, {0, 0}, {6, 1}, 1] -> 
  Pi^4/270 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (3*H[{3, 0}, {0, 0}, 1]^2)/
    64 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (223*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2, 
 H[{2, 0}, {2, 0}, {1, 0}, {2, 0}, 1] -> Pi^4/120 + H[{2, 0}, 1]^4/24 + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {2, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, 1]^2/32 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {2, 0}, {1, 0}, {3, 1}, 1] -> (-23*Pi^4)/27216 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (317*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/2 - 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) - 
   (1857*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {2, 0}, {1, 0}, {6, 0}, 1] -> 
  (7*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (71*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (77*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {2, 0}, {1, 0}, {6, 1}, 1] -> (173*Pi^4)/54432 + 
   (83*Pi^3*H[{2, 0}, 1])/(3024*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (295*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (49*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 - (65*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/2 + 
   (773*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (22471*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (2399*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (71*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {2, 0}, {2, 0}, {2, 0}, 1] -> H[{2, 0}, 1]^4/24, 
 H[{2, 0}, {2, 0}, {2, 0}, {3, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/96 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {2, 0}, {3, 1}, 1] -> (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {2, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {2, 0}, {6, 0}, 1] -> 
  (-11*Pi^4)/34992 + (5*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/54 + (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {2, 0}, {6, 1}, 1] -> (-499*Pi^4)/612360 + 
   (1301*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (31*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (5*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (229*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (9*H[{3, 0}, {0, 0}, 1]^2)/112 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/378 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    6 - (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (941*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (78481*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (2903*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (863*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {2, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^4/1944 + (Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {2, 0}, {3, 0}, {2, 0}, 1] -> 
  -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2, 
 H[{2, 0}, {2, 0}, {3, 0}, {3, 0}, 1] -> (-839*Pi^4)/136080 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (2969*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (3137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (2117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {2, 0}, {3, 0}, {3, 1}, 1] -> (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {3, 0}, {6, 0}, 1] -> 
  (16*Pi^4)/2835 + (13*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]^2)/324 + (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (4*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (31*H[{3, 0}, {0, 0}, 1]^2)/3360 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (661*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (451*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (2131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (442*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1532*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (351*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (78*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {2, 0}, {3, 0}, {6, 1}, 1] -> (697*Pi^4)/816480 + 
   (409*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (1039*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (139*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (181*H[{3, 0}, {0, 0}, 1]^2)/420 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (1135*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (16183*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (1797*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (207*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (69*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {3, 0}, {0, 0}, 1] -> 
  (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {2, 0}, {3, 1}, {1, 0}, 1] -> (11*Pi^4)/4860 + 
   (17*Pi^3*H[{2, 0}, 1])/(864*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/18 + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/72 + (3*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    8 - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/576 - 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (89*H[{3, 0}, {0, 0}, 1]^2)/
    128 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (140*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) + 
   (1849*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {3, 1}, {2, 0}, 1] -> 
  (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {2, 0}, {3, 1}, {3, 0}, 1] -> (101*Pi^4)/15120 - 
   (71*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (583*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (129287*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {3, 1}, {3, 1}, 1] -> 
  (-1583*Pi^4)/272160 - (121*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (155*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (883*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (1777*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (913*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) + (3943*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (52537*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (8537*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (143*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {2, 0}, {3, 1}, {6, 0}, 1] -> (-2231*Pi^4)/816480 - 
   (143*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (1391*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (455*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (761*H[{3, 0}, {0, 0}, 1]^2)/1680 + (34*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2801*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (1571*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (351*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (145*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (69*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {3, 1}, {6, 1}, 1] -> 
  (23*Pi^4)/12960 - (19*Pi^3*H[{2, 0}, 1])/(2160*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]^2)/324 - (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (2*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (13463*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (439*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/60 - (Pi^2*H[{3, 1}, {2, 0}, 1])/135 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(720*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (176479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (19251*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (35869*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (4001*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {2, 0}, {3, 1}, {0, 0}, 1] -> (97*Pi^4)/90720 + 
   (Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (27*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {2, 0}, {6, 0}, {1, 0}, 1] -> 
  -Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {6, 0}, {2, 0}, 1] -> (11*Pi^4)/11664 - 
   (5*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/18 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {2, 0}, {6, 0}, {3, 0}, 1] -> (83*Pi^4)/34020 - 
   (703*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (437*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    3 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (1399*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (167*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (859*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (757*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (209*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (9971*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (3291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (655*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (351*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (52*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {2, 0}, {6, 0}, {3, 1}, 1] -> (-1171*Pi^4)/816480 + 
   (27793*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (17*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (491*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1279*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (86*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (2393*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (89641*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (3539*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4301*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (21*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (683*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (351*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (26*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {2, 0}, {6, 0}, {6, 0}, 1] -> 
  (-11*Pi^4)/5832 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/18 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (4693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (19219*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{2, 0}, {2, 0}, {6, 0}, {6, 1}, 1] -> 
  (-19*Pi^4)/23328 - (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (2*Pi^2*H[{3, 1}, 1]^2)/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (7*H[{3, 0}, {0, 0}, 1]^2)/
    64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - 
   (22333*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(60480*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (2731*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (259*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {6, 0}, {0, 0}, 1] -> 
  Pi^4/1944 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {2, 0}, {6, 1}, {1, 0}, 1] -> (-139*Pi^4)/136080 - 
   (29*Pi^3*H[{2, 0}, 1])/(6048*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    504 + (Pi^2*H[{3, 1}, 1]^2)/36 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (3427*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (131*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (281*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) - (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (715*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (83689*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (23763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (261*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (7117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (2539*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {6, 1}, {2, 0}, 1] -> (499*Pi^4)/204120 - 
   (535*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (11*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 1}, 1]^2)/72 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - 
   (229*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (367*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (27*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (78481*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (8709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (2589*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (489*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {1, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {6, 1}, {3, 0}, 1] -> 
  (2081*Pi^4)/816480 - (15193*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (5*Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + 
   (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (29*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (2923*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (859*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 - 
   (8809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (1975*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (108497*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (5891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (12583*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (457*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (18841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (287*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (26*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {2, 0}, {6, 1}, {3, 1}, 1] -> 
  (883*Pi^4)/136080 + (4387*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]^2)/108 + (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (463*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (11*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2273*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (314*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (9*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (906167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (4323*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (24917*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (867*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4993*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (1451*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (554*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (341*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (219*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {2, 0}, {6, 1}, {6, 0}, 1] -> (5*Pi^4)/69984 - 
   (17*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (5*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (19*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (1193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(60480*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (7649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (461*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1051*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (4871*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {6, 1}, {6, 1}, 1] -> (11909*Pi^4)/2449440 - 
   (5267*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    56 + (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (5785*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (1909*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (941*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (7499*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (231493*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (6459*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (49*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (62527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (6603*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {6, 1}, {0, 0}, 1] -> (59*Pi^4)/8505 - 
   (11*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (Pi^2*H[{3, 1}, 1]^2)/18 - (53*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (67*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4480*Sqrt[3]) - 
   (2479*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (389*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2327*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (709*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {2, 0}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/120 + (Pi^2*H[{2, 0}, 1]^2)/24 + 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {2, 0}, {0, 0}, {3, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {2, 0}, {0, 0}, {3, 1}, 1] -> 
  (-17*Pi^4)/9072 + (Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/36 - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + 
   (113*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (303*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (319*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {2, 0}, {0, 0}, {6, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/
    4 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {2, 0}, {0, 0}, {6, 1}, 1] -> (55*Pi^4)/27216 - 
   (Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (45*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (113*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4480*Sqrt[3]) + 
   (2399*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (71*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/1296 + (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (49*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(48*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1], H[{2, 0}, {3, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/972 + (7*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{2, 0}, {3, 0}, {1, 0}, {3, 0}, 1] -> 
  (7*Pi^4)/2916 + (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (643*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {3, 0}, {1, 0}, {3, 1}, 1] -> (-5*Pi^4)/11664 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (317*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (11*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (57737*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (7193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {3, 0}, {1, 0}, {6, 0}, 1] -> (131*Pi^4)/11664 + 
   (4*Pi^3*H[{2, 0}, 1])/(135*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/270 - (77*Pi^2*H[{3, 0}, {0, 0}, 1])/
    432 + (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (227*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (309*H[{3, 0}, {0, 0}, 1]^2)/160 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/270 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (443*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (85439*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (13211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1901*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3043*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (1201*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {1, 0}, {6, 1}, 1] -> (61*Pi^4)/23328 + 
   (113*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (108*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (299*H[{3, 0}, {0, 0}, 1]^2)/320 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (629*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (37813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (13211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8429*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1201*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6113*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 0}, {1, 0}, {0, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {3, 0}, {2, 0}, {1, 0}, 1] -> 
  (-5*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 0}, {2, 0}, {2, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/32 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2, 
 H[{2, 0}, {3, 0}, {2, 0}, {3, 0}, 1] -> (839*Pi^4)/68040 + 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (431*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (2969*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (3137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (2117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {2, 0}, {3, 1}, 1] -> (-839*Pi^4)/136080 + 
   (71*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (431*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (133487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {2, 0}, {6, 0}, 1] -> (-169*Pi^4)/9072 - 
   (124*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) - (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/210 + 
   (571*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (865*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (83*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2503*H[{3, 0}, {0, 0}, 1]^2)/1120 + (251*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (1207*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) + (190*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (130799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (437*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4163*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (717*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (102*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (286*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {2, 0}, {6, 1}, 1] -> (-1247*Pi^4)/816480 - 
   (67*Pi^3*H[{2, 0}, 1])/(1260*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (191*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (173*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (1405*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1527*H[{3, 0}, {0, 0}, 1]^2)/2240 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (841*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) + (325*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (56933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (797*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (188*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (9*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (757*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {2, 0}, {0, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 0}, {3, 0}, {1, 0}, 1] -> (7*Pi^4)/2916 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{2, 0}, {3, 0}, {3, 0}, {2, 0}, 1] -> 
  -(Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{2, 0}, {3, 0}, {3, 0}, {3, 0}, 1] -> 
  (Pi^3*H[{2, 0}, 1])/(486*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{2, 0}, {3, 0}, {3, 0}, {3, 1}, 1] -> (47*Pi^4)/29160 + 
   (11*Pi^3*H[{2, 0}, 1])/(2430*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    30 + (Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/160 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(540*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (4799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (1693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (703*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/5 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5, 
 H[{2, 0}, {3, 0}, {3, 0}, {6, 0}, 1] -> (-767*Pi^4)/1224720 - 
   (11*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (131*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/84 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (253*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(56*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {3, 0}, {6, 1}, 1] -> (1181*Pi^4)/174960 + 
   (13*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    810 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (59*H[{3, 0}, {0, 0}, 1]^2)/240 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (419*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) + 
   (89*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 - 
   (99943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (35741*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (631*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (86477*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (3431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1979*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 0}, {3, 0}, {0, 0}, 1] -> (23*Pi^4)/5832 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {3, 0}, {3, 1}, {1, 0}, 1] -> 
  -Pi^4/7776 + (5*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (7*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + (77*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (4813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {3, 0}, {3, 1}, {2, 0}, 1] -> 
  (839*Pi^4)/136080 - (71*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (73*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (431*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (133487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {3, 1}, {3, 0}, 1] -> (1007*Pi^4)/408240 + 
   (17*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (155*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/112 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (1121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (73*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {3, 1}, {3, 1}, 1] -> (-79*Pi^4)/81648 + 
   (283*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (367*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (487*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (857*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (7547*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (41*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(60*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (155*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {3, 0}, {3, 1}, {6, 0}, 1] -> 
  (9727*Pi^4)/1224720 + (383*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - 
   (7*Pi^2*H[{2, 0}, 1]^2)/216 + (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (697*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (229*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (863*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (95*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (8137*H[{3, 0}, {0, 0}, 1]^2)/3360 - (277*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (18499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (832*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (27241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (20227*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (72397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (2519*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (15637*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (3657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (71537*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (2259*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1177*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (869*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (659*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 0}, {3, 1}, {6, 1}, 1] -> (13759*Pi^4)/2449440 + 
   (607*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (464*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (913*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (1583*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (415*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (16243*H[{3, 0}, {0, 0}, 1]^2)/6720 - (613*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (27593*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (1021*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (32351*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5903*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (1499*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (25309*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (887*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (911*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1061*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (493*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (911*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (1121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/5832 + (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/32 + (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{2, 0}, {3, 0}, {6, 0}, {1, 0}, 1] -> 
  Pi^4/486 + (Pi^3*H[{2, 0}, 1])/(60*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/270 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (2663*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (133*H[{3, 0}, {0, 0}, 1]^2)/480 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/270 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (97*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/10 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (411*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (293*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {6, 0}, {2, 0}, 1] -> (37*Pi^4)/5040 + 
   (Pi^3*H[{2, 0}, 1])/(35*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (569*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (233*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (83*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7571*H[{3, 0}, {0, 0}, 1]^2)/3360 - (289*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (2299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (955*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (107873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (8037*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (12023*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (967*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (663*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (100*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (254*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 0}, {3, 0}, 1] -> (428*Pi^4)/76545 + 
   (47*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(3*Sqrt[3]) + (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (565*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (701*H[{3, 0}, {0, 0}, 1]^2)/672 - (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 0}, {3, 1}, 1] -> (-36689*Pi^4)/2449440 - 
   (4859*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (1661*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (307*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (5125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (457*H[{3, 0}, {0, 0}, 1]^2)/140 + (1747*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1909*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) + (23047*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (504409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (76721*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (13639*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (597*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (24491*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (801*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1528*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (253*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (926*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 0}, {6, 0}, 1] -> (5807*Pi^4)/1224720 - 
   (Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/Sqrt[3] - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (779*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (71*H[{3, 0}, {0, 0}, 1]^2)/336 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (569*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (73*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (22*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 0}, {6, 1}, 1] -> (4769*Pi^4)/244944 + 
   (611*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (794*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (1159*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (451*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (737*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7949*H[{3, 0}, {0, 0}, 1]^2)/3360 - (374*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2 + (1259*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) - (611*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (2005343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (93469*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (85507*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (3097*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (215773*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (8679*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (901*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1399*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/6 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (267*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (818*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 0}, {6, 0}, {0, 0}, 1] -> (163*Pi^4)/22680 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/18 + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 + (4*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (79*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/56 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (22901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (7967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (187*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (1033*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {6, 1}, {1, 0}, 1] -> (-347*Pi^4)/816480 + 
   (137*Pi^3*H[{2, 0}, 1])/(1890*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (4591*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (641*H[{3, 0}, {0, 0}, 1]^2)/1680 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/630 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (515*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (6239*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (14561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (289*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (229*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1309*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (1019*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/140 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {3, 0}, {6, 1}, {2, 0}, 1] -> 
  (-7*Pi^4)/38880 + (Pi^3*H[{2, 0}, 1])/(120*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (25*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (1979*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (173*H[{3, 0}, {0, 0}, 1]^2)/960 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (161*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1080*Sqrt[3]) - 
   (113*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (15091*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (2837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (51343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (5347*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (49*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {6, 1}, {3, 0}, 1] -> (-4657*Pi^4)/2449440 - 
   (1429*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (809*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (587*H[{3, 0}, {0, 0}, 1]^2)/560 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (311*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (13255*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (86171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (7899*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (26363*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3979*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 1}, {3, 1}, 1] -> (-4771*Pi^4)/612360 + 
   (445*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (439*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (173*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (355*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (3767*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (125*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (19463*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (257377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (6079*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13583*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (509*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (23*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (187*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1052*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 1}, {6, 0}, 1] -> (-2369*Pi^4)/122472 - 
   (191*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (2069*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (230*Pi^2*H[{3, 0}, {0, 0}, 1])/567 - 
   (1159*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (737*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (8027*H[{3, 0}, {0, 0}, 1]^2)/3360 + (1229*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (262*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (315*Sqrt[3]) + (7297*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (804289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (48387*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (39173*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (201*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1709*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5296*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1481*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (171*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (1054*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 0}, {6, 1}, {6, 1}, 1] -> (4483*Pi^4)/2449440 - 
   (61*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (491*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (3001*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (145*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (25*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3497*H[{3, 0}, {0, 0}, 1]^2)/6720 + (491*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (5179*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (52861*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28800*Sqrt[3]) + 
   (16241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (18467*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (236627*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (8921*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (6457*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (311*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 0}, {6, 1}, {0, 0}, 1] -> 
  Pi^4/1458 + (7*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/36 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (191*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1249*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1728*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (9113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (2921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {0, 0}, {1, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {3, 0}, {0, 0}, {2, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {3, 0}, {0, 0}, {3, 0}, 1] -> 
  Pi^4/2916 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (26*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 0}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/5832 + (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/32 - (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {3, 0}, {0, 0}, {6, 0}, 1] -> 
  (-19*Pi^4)/1701 - (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (69*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 + 
   (1703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (584*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (26*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 0}, {0, 0}, {6, 1}, 1] -> (47*Pi^4)/204120 - 
   (97*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    21 + (1879*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (327*H[{3, 0}, {0, 0}, 1]^2)/224 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (4103*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (22*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (272*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (272*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (191*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 0}, {0, 0}, {0, 0}, 1] -> (4*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/8 - (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    16, H[{2, 0}, {3, 1}, {1, 0}, {1, 0}, 1] -> 
  (-19*Pi^4)/18144 - (1405*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - 
   (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (1333*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (5405*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (117*H[{3, 0}, {0, 0}, 1]^2)/224 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (785*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (603683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (3247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(16*Sqrt[3]) - 
   (75*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2737*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(400*Sqrt[3]) - 
   (6453*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (13127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (1343*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/7 + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {1, 0}, {2, 0}, 1] -> (-23*Pi^4)/13608 - 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    2 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (317*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + H[{3, 1}, {2, 0}, 1]^2 - 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(448*Sqrt[3]) - 
   (1857*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {3, 1}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/1458 - (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (331*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (9*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) - (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (529*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (1033*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{2, 0}, {3, 1}, {1, 0}, {3, 1}, 1] -> 
  (-1093*Pi^4)/408240 - (1511*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (3037*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (10105*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (335*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (185*H[{3, 0}, {0, 0}, 1]^2)/224 - (Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5107*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (184829*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (29227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (3253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (1297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {3, 1}, {1, 0}, {6, 0}, 1] -> 
  (-19*Pi^4)/7776 - (463*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) + 
   (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    180 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (221*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (329*H[{3, 0}, {0, 0}, 1]^2)/320 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (133739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (13911*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (29269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (3361*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 1}, {1, 0}, {6, 1}, 1] -> (5377*Pi^4)/204120 - 
   (473*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (2215*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (6311*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7129*H[{3, 0}, {0, 0}, 1]^2)/2240 - (107*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 + (7453*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (1087*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (209*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2447*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (463*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (354*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {1, 0}, {0, 0}, 1] -> (701*Pi^4)/272160 - 
   (43*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (265*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/7 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (919*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(160*Sqrt[3]) + 
   (2111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3113*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (133*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   (79*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {3, 1}, {2, 0}, {1, 0}, 1] -> (-193*Pi^4)/68040 - 
   (19*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    2 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (1285*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (10*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 1}, {2, 0}, 1] - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (5941*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (26*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 - 
   (191*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (535*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (165*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {2, 0}, {2, 0}, 1] -> 
  H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {2, 0}, {3, 0}, 1] -> (-979*Pi^4)/136080 + 
   (71*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (417*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (125087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2309*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {2, 0}, {3, 1}, 1] -> (1583*Pi^4)/136080 + 
   (121*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (155*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 - (883*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1777*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (913*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (3943*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (52537*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (8537*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (286*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {2, 0}, {6, 0}, 1] -> (11443*Pi^4)/816480 + 
   (383*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (197*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (281*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (1961*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (6463*H[{3, 0}, {0, 0}, 1]^2)/2240 - (521*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (14*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (5653*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (127199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (10189*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (853*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (172*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (99*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (677*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (313*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {2, 0}, {6, 1}, 1] -> (-2083*Pi^4)/136080 - 
   (487*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (1343*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (2657*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (9785*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (359*H[{3, 0}, {0, 0}, 1]^2)/140 + (713*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (6259*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (3641*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (7241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (803*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (563*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2573*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (146*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (52*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (1315*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (573*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (643*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {2, 0}, {0, 0}, 1] -> (-193*Pi^4)/68040 - 
   (19*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (1391*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (449*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/448 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (28*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {3, 0}, {1, 0}, 1] -> (-101*Pi^4)/23328 - 
   (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (13*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/36 - (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (4777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (659*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {3, 1}, {3, 0}, {2, 0}, 1] -> 
  (-839*Pi^4)/136080 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (431*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (133487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 0}, {3, 0}, 1] -> (-353*Pi^4)/81648 + 
   (Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/168 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (559*H[{3, 0}, {0, 0}, 1]^2)/1120 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (1357*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(560*Sqrt[3]) + 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (319*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{2, 0}, {3, 1}, {3, 0}, {3, 1}, 1] -> (41*Pi^4)/90720 - 
   (281*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (1433*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (321*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (61*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (781*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (61*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(240*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (107*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{2, 0}, {3, 1}, {3, 0}, {6, 0}, 1] -> 
  (-7663*Pi^4)/612360 - (61*Pi^3*H[{2, 0}, 1])/(1890*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (1063*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/168 - 
   (269*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (1009*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5989*H[{3, 0}, {0, 0}, 1]^2)/3360 + (223*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 - (11573*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (515*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (15149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (813*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (175781*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (969*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (20267*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1007*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (433*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (433*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {3, 0}, {6, 1}, 1] -> (-15919*Pi^4)/1224720 - 
   (89*Pi^3*H[{2, 0}, 1])/(1260*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (1621*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (193*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (14935*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (4829*H[{3, 0}, {0, 0}, 1]^2)/3360 + (991*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 - (9749*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (1549*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (38359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (1573*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (122929*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (5107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (17*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (41*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (676*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1087*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (137*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (571*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (991*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {3, 0}, {0, 0}, 1] -> 
  -Pi^4/243 - (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    24 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 1}, {1, 0}, 1] -> (113*Pi^4)/23328 + 
   (347*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 - (Pi^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (391*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 + 
   (14713*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/128 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/4 + 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (511*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (184829*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (1713*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1417*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (881*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (74*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {3, 1}, {3, 1}, {2, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(144*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    48 - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 1}, {3, 0}, 1] -> (67*Pi^4)/272160 + 
   (1199*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) - (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (283*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (1531*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (883*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (2983*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (313*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (197*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {3, 1}, {3, 1}, 1] -> (829*Pi^4)/816480 + 
   (935*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (155*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (2453*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (2851*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (857*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5021*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (1171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (223*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{2, 0}, {3, 1}, {3, 1}, {6, 0}, 1] -> 
  (659*Pi^4)/349920 + (139*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) - 
   (7*Pi^2*H[{2, 0}, 1]^2)/648 + (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (8081*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (929*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (59*H[{3, 0}, {0, 0}, 1]^2)/960 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (301*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) + 
   (355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (919*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (13889*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (95*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (317*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {3, 1}, {6, 1}, 1] -> (521*Pi^4)/1224720 + 
   (143*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) + (299*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (193*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (235*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (151*H[{3, 0}, {0, 0}, 1]^2)/3360 - (299*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/6 - 
   (5561*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (1093*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2833*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) - 
   (239*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (121*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (261*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (541*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (299*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {3, 1}, {0, 0}, 1] -> (347*Pi^4)/102060 + 
   (59*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (493*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (191*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (703*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2047*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (706*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-2027*Pi^4)/816480 - 
   (26*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (86*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (373*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (1835*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (529*H[{3, 0}, {0, 0}, 1]^2)/1680 + (86*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) + (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 + 
   (281*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7*Sqrt[3]) + 
   (557*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (257*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (155*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {3, 1}, {6, 0}, {2, 0}, 1] -> 
  (-2327*Pi^4)/272160 + (451*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (319*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/Sqrt[3] - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 - (295*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (907*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (191*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (13301*H[{3, 0}, {0, 0}, 1]^2)/6720 + (83*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1260 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (713*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) + 
   (373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (127199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (20771*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (13523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (967*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1097*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (663*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (226*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (443*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/35 - 
   (212*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {6, 0}, {3, 0}, 1] -> (-15857*Pi^4)/2449440 + 
   (221*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (55*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (2773*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (281*H[{3, 0}, {0, 0}, 1]^2)/168 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (905*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (13387*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (66611*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) - 
   (62653*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (4321*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (65*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (22727*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (801*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (520*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (118*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 0}, {3, 1}, 1] -> (22219*Pi^4)/2449440 - 
   (1403*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (883*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (491*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (30871*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7549*H[{3, 0}, {0, 0}, 1]^2)/3360 - (821*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5039*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (17561*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (2689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (42053*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (1607*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6707*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (317*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (848*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (253*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 0}, {6, 0}, 1] -> (-5147*Pi^4)/612360 + 
   (79*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (241*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (137*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (467*H[{3, 0}, {0, 0}, 1]^2)/1680 - (241*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(420*Sqrt[3]) - 
   (253*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (750287*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (35741*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (16819*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (473*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (217507*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (9283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (473*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (463*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (218*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {6, 0}, {6, 1}, 1] -> (-15983*Pi^4)/1224720 - 
   (1529*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (25*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (2*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + 
   (121*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (499*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (47263*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (1409*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (25*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (425*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (49*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1081*H[{3, 0}, {0, 0}, 1]^2)/840 - (209*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (1493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1680*Sqrt[3]) + (2519*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (36877*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) - 
   (331*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (31517*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (1167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (10417*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (2773*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2717*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (289*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1019*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (107*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (281*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (1121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-1327*Pi^4)/204120 - 
   (19*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (2347*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (165*H[{3, 0}, {0, 0}, 1]^2)/224 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (9*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (6047*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (271*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (751*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (701*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (212*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {6, 1}, {1, 0}, 1] -> (-569*Pi^4)/68040 - 
   (401*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (12049*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (49*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1307*H[{3, 0}, {0, 0}, 1]^2)/6720 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2339*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (95*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (379*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(200*Sqrt[3]) + 
   (831*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (177*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {6, 1}, {2, 0}, 1] -> (20*Pi^4)/1701 + 
   (2539*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (143*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    420 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (2195*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (923*H[{3, 0}, {0, 0}, 1]^2)/420 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/420 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (407*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(945*Sqrt[3]) - 
   (4453*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (89587*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (6403*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) + 
   (419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (25577*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (2833*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (38*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (769*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (307*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (377*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 1}, {3, 0}, 1] -> (487*Pi^4)/1224720 + 
   (3287*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (299*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (41*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (7129*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (8597*H[{3, 0}, {0, 0}, 1]^2)/6720 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (178*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) + (12665*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (32351*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (5877*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1223*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2543*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (74*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (299*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (119*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (307*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 1}, {3, 1}, 1] -> (-14983*Pi^4)/2449440 - 
   (823*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi*H[{2, 0}, 1]^3)/(3*Sqrt[3]) - (319*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2281*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (43*H[{3, 0}, {0, 0}, 1]^2)/112 + (193*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (122*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (4561*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (19729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (1681*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5779*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (88*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 - 
   (86*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 1}, {6, 0}, 1] -> (25631*Pi^4)/2449440 + 
   (1027*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (464*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (101*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (144*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (24407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (493*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (317*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (10643*H[{3, 0}, {0, 0}, 1]^2)/6720 - (823*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (2143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (472*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (6949*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) + 
   (7689*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (15961*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (89281*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (4083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (11477*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (799*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (949*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (157*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (1261*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {3, 1}, {6, 1}, {6, 1}, 1] -> (11101*Pi^4)/2449440 + 
   (1009*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) + (901*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (193*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1134 + (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (517*H[{3, 0}, {0, 0}, 1]^2)/6720 - (901*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (1567*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (1031*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (8621*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (1221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (91*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (236*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (355*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{2, 0}, {3, 1}, {6, 1}, {0, 0}, 1] -> (-43*Pi^4)/9072 - 
   (95*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (1325*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (137*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (21509*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (7703*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (83*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (8887*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {0, 0}, {1, 0}, 1] -> (-583*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (2711*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (909*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 + (10*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (11947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) - 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (127*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (3889*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (1363*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {0, 0}, {2, 0}, 1] -> (19*Pi^4)/27216 + 
   (13*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (607*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (323*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (421*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {3, 1}, {0, 0}, {3, 0}, 1] -> 
  -Pi^4/5832 + (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (529*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{2, 0}, {3, 1}, {0, 0}, {3, 1}, 1] -> 
  (-241*Pi^4)/102060 - (67*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (541*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (103*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (641*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (5617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (339*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1853*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1961*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (587*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (1412*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/14 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {3, 1}, {0, 0}, {6, 0}, 1] -> (2327*Pi^4)/204120 - 
   (5*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (871*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (479*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (423*H[{3, 0}, {0, 0}, 1]^2)/224 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (362*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(105*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (104*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (22*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (161*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (50*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {3, 1}, {0, 0}, {6, 1}, 1] -> 
  (7*Pi^4)/810 + (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/
    432 + (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (361*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(105*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {3, 1}, {0, 0}, {0, 0}, 1] -> (-31*Pi^4)/30240 - 
   (17*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (109*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/56 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (437*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {1, 0}, {1, 0}, 1] -> 
  -Pi^4/324 + (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {6, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/972 + (17*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/27 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {1, 0}, {3, 0}, 1] -> (305*Pi^4)/81648 + 
   (277*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (71*Pi^2*H[{3, 0}, {0, 0}, 1])/504 - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (221*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (25*H[{3, 0}, {0, 0}, 1]^2)/
    28 + (Pi^2*H[{3, 1}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (2693*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (835789*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (4301*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (18317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (18517*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (2013*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {1, 0}, {3, 1}, 1] -> (-67*Pi^4)/272160 + 
   (2477*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + (44*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (Pi^2*H[{3, 1}, 1]^2)/36 - (31*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (1717*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1343*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (217*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (149*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2158*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) - (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 - 
   (2257*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (881089*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (4401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (5317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (122*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (118*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (38*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {1, 0}, {6, 0}, 1] -> (-1957*Pi^4)/204120 - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (263*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (871*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (59*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {1, 0}, {6, 1}, 1] -> (-1957*Pi^4)/408240 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (95*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (263*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (473*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) + 
   (359*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {1, 0}, {0, 0}, 1] -> 
  -Pi^4/324 + (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) + (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {2, 0}, {1, 0}, 1] -> 
  Pi^4/324 - (23*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/2 + 
   (157*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/32 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {6, 0}, {2, 0}, {2, 0}, 1] -> (-11*Pi^4)/11664 + 
   (5*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {6, 0}, {2, 0}, {3, 0}, 1] -> (67*Pi^4)/27216 + 
   (299*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (85*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (40*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (247*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (137*H[{3, 0}, {0, 0}, 1]^2)/
    56 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (307*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (1339*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (35*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (463213*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (24929*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (15161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (68*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {2, 0}, {3, 1}, 1] -> (-4639*Pi^4)/816480 - 
   (3683*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (68*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (2063*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (361*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (243*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) + (2489*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (121*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (514813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (14123*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (18061*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (109*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (127*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {2, 0}, {6, 0}, 1] -> (13*Pi^4)/2916 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (4693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (19219*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {6, 0}, {2, 0}, {6, 1}, 1] -> (7*Pi^4)/3888 - 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (433*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (135*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (13*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (16733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (6619*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{2, 0}, {6, 0}, {2, 0}, {0, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 0}, {1, 0}, 1] -> (-53*Pi^4)/20412 - 
   (13397*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (719*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/18 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (8681*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (251*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (8081*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (571*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (703*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (947*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) - 
   (291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (951*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 0}, {2, 0}, 1] -> (-37*Pi^4)/5040 - 
   (73*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (727*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (253*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7361*H[{3, 0}, {0, 0}, 1]^2)/3360 + (289*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 - (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (2299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (2071*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (107873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (8037*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (12023*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (967*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (663*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (100*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (254*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-5521*Pi^4)/1224720 + 
   (103*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/28 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (127*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 0}, {3, 1}, 1] -> (14167*Pi^4)/2449440 + 
   (1159*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (767*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (149*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (289*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (3091*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (6269*H[{3, 0}, {0, 0}, 1]^2)/
    3360 - (1531*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (13241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (3575*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) + 
   (7127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3509*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (153703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (5109*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (247*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (226*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-358*Pi^4)/76545 - 
   (299*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(3*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - 
   (14*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/Sqrt[3] - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    168 - (557*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (757*H[{3, 0}, {0, 0}, 1]^2)/672 + (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (1481*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 0}, {6, 1}, 1] -> (1637*Pi^4)/2449440 - 
   (1237*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (1657*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (235*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (415*H[{3, 0}, {0, 0}, 1]^2)/672 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (4769*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (103559*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1493*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (419*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (68897*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (2411*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1564*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (62*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (400*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-799*Pi^4)/408240 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/18 - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (149*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/14 - 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (773*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (371*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {3, 1}, {1, 0}, 1] -> (65*Pi^4)/20412 + 
   (14657*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (11*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + 
   (719*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (1051*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (35*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (29*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (9341*H[{3, 0}, {0, 0}, 1]^2)/13440 - (443*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1817*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (2039*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (89*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (261427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (1683*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (129*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 1}, {2, 0}, 1] -> (2327*Pi^4)/272160 + 
   (37*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (295*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (893*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (191*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (13301*H[{3, 0}, {0, 0}, 1]^2)/6720 - (389*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (713*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) - 
   (1853*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (127199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (20771*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (13523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (967*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1097*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (663*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (226*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (443*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/35 + 
   (212*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 1}, {3, 0}, 1] -> (4711*Pi^4)/349920 + 
   (313*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (137*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (217*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (1031*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1489*H[{3, 0}, {0, 0}, 1]^2)/
    960 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/180 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (301*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2160*Sqrt[3]) + (113*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (173*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (4181431*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (162013*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (52511*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (1949*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (443771*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (16353*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (20947*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (2259*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 1}, {3, 1}, 1] -> (-17561*Pi^4)/2449440 + 
   (10513*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (2197*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (125*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (32789*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (933*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (16601*H[{3, 0}, {0, 0}, 1]^2)/13440 + (313*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (5213*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1025*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(288*Sqrt[3]) + 
   (1361*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (37003*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (1397*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1373*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (209*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (172*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (249*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (116*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 0}, {3, 1}, {6, 0}, 1] -> (25003*Pi^4)/2449440 + 
   (4889*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (485*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (53*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3133*H[{3, 0}, {0, 0}, 1]^2)/3360 - (397*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (15661*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (2987*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (35327*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (4943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (45587*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (1321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (542*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (74*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (832*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 1}, {6, 1}, 1] -> (11759*Pi^4)/2449440 + 
   (3281*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (131*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) + (149*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (2083*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (229*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3893*H[{3, 0}, {0, 0}, 1]^2)/6720 - (131*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (23671*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (1543*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (3083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (5063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4589*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (68707*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (2211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   3*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (311*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (68*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 0}, {3, 1}, {0, 0}, 1] -> (2269*Pi^4)/816480 + 
   (55*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (575*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (541*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (85*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (811*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(540*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 - 
   (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (7451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1427*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2123*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 0}, {1, 0}, 1] -> (1259*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (311*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (1417*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (623*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (341*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) - 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/1458 + (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (2*Pi^2*H[{3, 1}, 1]^2)/27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    36, H[{2, 0}, {6, 0}, {6, 0}, {3, 0}, 1] -> 
  (1741*Pi^4)/1224720 + (37*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]^2)/162 - (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) - 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (1727*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (325*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (145*H[{3, 0}, {0, 0}, 1]^2)/168 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (127*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 0}, {3, 1}, 1] -> (-1145*Pi^4)/489888 - 
   (1837*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (2519*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (4033*H[{3, 0}, {0, 0}, 1]^2)/6720 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (5113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1920*Sqrt[3]) - 
   (4031*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2171*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (10187*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3067*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (205*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (149*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 0}, {6, 0}, 1] -> (-2*Pi^4)/2187 + 
   (4*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{2, 0}, {6, 0}, {6, 0}, {6, 1}, 1] -> (191*Pi^4)/244944 + 
   (166*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) - (8*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) + (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (71*H[{3, 0}, {0, 0}, 1]^2)/1120 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (1199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (89*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(280*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/8 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{2, 0}, {6, 0}, {6, 0}, {0, 0}, 1] -> (5*Pi^4)/2916 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{2, 0}, {6, 0}, {6, 1}, {1, 0}, 1] -> (5*Pi^4)/3888 + 
   (17*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (125*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (49*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (35803*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (11001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (6757*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (673*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 1}, {2, 0}, 1] -> 
  -Pi^4/5832 + (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) - 
   (35*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (5*Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (9*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, 1]^2/64 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (6323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (547*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {6, 0}, {6, 1}, {3, 0}, 1] -> 
  (-535*Pi^4)/69984 + (587*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - 
   (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 + 
   (271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1795*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1351*H[{3, 0}, {0, 0}, 1]^2)/
    960 - (71*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) - (889*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1942147*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (71921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (31741*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (57817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1851*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (638*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-7001*Pi^4)/2449440 - 
   (337*Pi^3*H[{2, 0}, 1])/(10206*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (307*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (4327*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (2917*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (557*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1303*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (685*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (40*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (15613*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (407*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (160799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (4937*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (29321*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (20003*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (5023*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (257*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {6, 1}, {6, 0}, 1] -> (-6941*Pi^4)/1224720 + 
   (8*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/112 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (197*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (26*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (349*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {6, 1}, {6, 1}, 1] -> (-289*Pi^4)/489888 + 
   (2269*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (113*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) + (313*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (5*Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (685*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (9*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (1219*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (673*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (439*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (409*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (197*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{2, 0}, {6, 0}, {6, 1}, {0, 0}, 1] -> 
  (-13*Pi^4)/11664 + (7*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (2*Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, {1, 0}, 1] -> 
  Pi^4/486 - (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, {2, 0}, 1] -> 
  -Pi^4/486 + (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, {3, 0}, 1] -> (61*Pi^4)/13608 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (181*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (209*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (2371*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (569*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (86*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (1459*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 0}, {0, 0}, {3, 1}, 1] -> (-149*Pi^4)/20412 + 
   (31*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (271*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (31*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (223*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (115*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (3697*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (633*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (369*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, {6, 0}, 1] -> (13*Pi^4)/2916 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/16 + (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (26*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(175*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (536*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 0}, {0, 0}, {6, 1}, 1] -> (5*Pi^4)/1944 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/32 + (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (869*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{2, 0}, {6, 0}, {0, 0}, {0, 0}, 1] -> 
  (-5*Pi^4)/1458 + (5*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{2, 0}, {6, 1}, {1, 0}, {1, 0}, 1] -> (-1237*Pi^4)/272160 + 
   (47*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 0}, {0, 0}, 1])/224 + 
   (359*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/28 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (1517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (27*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (9217*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1613*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (571*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (3517*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {1, 0}, {2, 0}, 1] -> (241*Pi^4)/19440 + 
   (67*Pi^3*H[{2, 0}, 1])/(1296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/9 + 
   (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (73*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (991*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (143*H[{3, 0}, {0, 0}, 1]^2)/64 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (359*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (22903*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (7769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (941*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (35*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {6, 1}, {1, 0}, {3, 0}, 1] -> 
  (647*Pi^4)/116640 - (467*Pi^3*H[{2, 0}, 1])/(11664*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (197*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (13*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (149*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (471617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (18621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (21*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (24847*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (2683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1] + (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {1, 0}, {3, 1}, 1] -> (1181*Pi^4)/163296 + 
   (3421*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (1565*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (79*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (817*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (137*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (583*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (13511*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (593767*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (19871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (881*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(180*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (9511*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (999*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {1, 0}, {6, 0}, 1] -> (-2797*Pi^4)/408240 + 
   (53*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (65*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (643*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (437*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (249*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (227*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) - 
   (767*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (5837*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (1327*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 1}, {1, 0}, {6, 1}, 1] -> (-1759*Pi^4)/204120 - 
   (5*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (26*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (617*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1721*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (387*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (79763*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (7607*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (6661*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (131*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (937*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (317*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {1, 0}, {0, 0}, 1] -> (1163*Pi^4)/272160 + 
   (31*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (251*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (719*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (429*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (159*H[{3, 0}, {0, 0}, 1]^2)/448 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (281*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 + 
   (40993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (1533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 1}, {2, 0}, {1, 0}, 1] -> (-1409*Pi^4)/136080 - 
   (85*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/18 - (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (1843*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (1403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (239*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (187*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (45*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (10*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (773*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (261*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5813*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (239*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {6, 1}, {2, 0}, {2, 0}, 1] -> (-499*Pi^4)/204120 + 
   (839*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (432*Sqrt[3]) + (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (5*Pi^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + (229*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (353*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (27*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (47*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (78481*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (8709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (2589*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (489*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {1, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {6, 1}, {2, 0}, {3, 0}, 1] -> 
  (-4309*Pi^4)/816480 + (1703*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (1343*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (325*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (55*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (1219*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (5545*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (191*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (352813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (23207*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (13661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {2, 0}, {3, 1}, 1] -> (-83*Pi^4)/68040 - 
   (2953*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (241*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (295*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (3841*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (493*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (46*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (1499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (4717*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (421*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (73433*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) - 
   (4583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3599*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (10139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1108*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (52*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (29*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (65*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {2, 0}, {6, 0}, 1] -> (49*Pi^4)/34992 + 
   (41*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (Pi^2*H[{3, 1}, 1]^2)/54 - (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (1019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (135*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (15*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (6793*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (1019*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-21193*Pi^4)/2449440 + 
   (4007*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (5*Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (2*Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (5995*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (1897*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (927*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (85*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (7499*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (231493*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (6459*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (49*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (62527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (6603*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (398*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (60*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{2, 0}, {6, 1}, {2, 0}, {0, 0}, 1] -> 
  (-3763*Pi^4)/272160 - (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (Pi^2*H[{3, 1}, 1]^2)/9 + (577*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (2731*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (769*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (45*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (155*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1993*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (1539*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (239*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {6, 1}, {3, 0}, {1, 0}, 1] -> (25*Pi^4)/6804 - 
   (65057*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (77*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (719*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (3737*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (5267*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (29*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (185*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (10601*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (274*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1159*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) - (145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (67*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (47077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (383*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (20389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (2361*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (557*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 0}, {2, 0}, 1] -> (7*Pi^4)/38880 + 
   (29*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (1853*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (113*H[{3, 0}, {0, 0}, 1]^2)/960 + (7*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (161*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1080*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (15091*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (2837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (51343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (5347*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (49*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 0}, {3, 0}, 1] -> (-3847*Pi^4)/2449440 + 
   (1657*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (461*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (1045*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3307*H[{3, 0}, {0, 0}, 1]^2)/6720 + (9*Pi^2*H[{3, 1}, {2, 0}, 1])/140 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (5371*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (253*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 + 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (53573*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (12751*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (769*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) + 
   (429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (47647*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1341*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1993*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/70 - 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 0}, {3, 1}, 1] -> (7397*Pi^4)/2449440 - 
   (1915*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (31*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (181*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (2365*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (3019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (173*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (3001*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (121*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (10519*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (187*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (19151*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) + 
   (9291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1997*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (529*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (25*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (130*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{2, 0}, {6, 1}, {3, 0}, {6, 0}, 1] -> 
  (43187*Pi^4)/2449440 + (7127*Pi^3*H[{2, 0}, 1])/(38880*Sqrt[3]) - 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 - (41*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (1073*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (3431*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (4813*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (2881*H[{3, 0}, {0, 0}, 1]^2)/1120 - (1457*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (71237*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (25920*Sqrt[3]) - (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (19613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (5921*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (15867*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1171*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (121007*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (4621*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (14369*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1040*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (38*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (886*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 0}, {6, 1}, 1] -> (13697*Pi^4)/1224720 - 
   (793*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (2071*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (8*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (2075*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (59*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (919*H[{3, 0}, {0, 0}, 1]^2)/3360 - (353*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (16*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2 + (5147*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (10879*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (409*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1721*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(360*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (589*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (353*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (248*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (11*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 0}, {0, 0}, 1] -> (877*Pi^4)/272160 - 
   (65*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - 
   (85*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (523*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/28 + (Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (685*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (2467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (2029*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 1}, {1, 0}, 1] -> (-10333*Pi^4)/816480 + 
   (3527*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (331*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/18 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (643*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (16711*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (611*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (65*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (419*H[{3, 0}, {0, 0}, 1]^2)/
    1680 - (1457*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (12769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (5315*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (304873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (11409*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5419*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4987*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (361*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 1}, {2, 0}, 1] -> (-20*Pi^4)/1701 - 
   (1769*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (278*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (2195*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (255*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (923*H[{3, 0}, {0, 0}, 1]^2)/420 + (241*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (407*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) + (449*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (89587*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (6403*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) - 
   (419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (25577*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (2833*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (38*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (769*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (307*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (377*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 1}, {3, 0}, 1] -> (3479*Pi^4)/349920 - 
   (77*Pi^3*H[{2, 0}, 1])/(2916*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (313*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (419*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (305*H[{3, 0}, {0, 0}, 1]^2)/
    192 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (29*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (24209*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8064*Sqrt[3]) + 
   (1299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2365*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) - 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (151297*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (5811*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/4 + 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 1}, {3, 1}, 1] -> (-4279*Pi^4)/2449440 + 
   (919*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (863*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (725*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1663*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1423*H[{3, 0}, {0, 0}, 1]^2)/1120 + (274*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 - (167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (2797*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (15809*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (9211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3023*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (379*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1535*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (187*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (221*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (377*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {3, 1}, {6, 0}, 1] -> (-719*Pi^4)/174960 - 
   (91*Pi^3*H[{2, 0}, 1])/(972*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (2*Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (25*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/162 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/3 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (133*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (9635*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (1251*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (229*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (67*H[{3, 0}, {0, 0}, 1]^2)/64 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 - (1837*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (737*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (17957*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (1793*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (439*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (6707*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (5359*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 1}, {6, 1}, 1] -> (-1681*Pi^4)/489888 - 
   (121*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi*H[{2, 0}, 1]^3)/(3*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (983*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (289*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2143*H[{3, 0}, {0, 0}, 1]^2)/1344 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (1427*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (2441*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (6577*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1120*Sqrt[3]) + 
   (2299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2761*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4307*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (893*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (173*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{2, 0}, {6, 1}, {3, 1}, {0, 0}, 1] -> (-1339*Pi^4)/272160 + 
   (83*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (577*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (4*H[{3, 0}, {0, 0}, 1]^2)/7 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (827*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (73*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (6109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (701*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/7 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 1}, {6, 0}, {1, 0}, 1] -> (17*Pi^4)/1890 - 
   (17*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (17*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (85*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (751*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(448*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (689*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (14759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (5151*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (281*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/648 - (Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) + 
   (7*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 + (Pi^2*H[{3, 1}, 1]^2)/54 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (5*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (6323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (547*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {6, 1}, {6, 0}, {3, 0}, 1] -> 
  (-20519*Pi^4)/2449440 - (30565*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 + (23*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(18*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (3161*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (1655*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (32905*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (3605*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (135*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (5039*H[{3, 0}, {0, 0}, 1]^2)/
    3360 + (1213*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (85951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36288*Sqrt[3]) + 
   (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (3749*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (78539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8064*Sqrt[3]) + 
   (11693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (11387*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (519*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (106097*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (4227*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10861*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (193*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (143*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (367*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (241*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 0}, {3, 1}, 1] -> (2803*Pi^4)/612360 - 
   (445*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) + (55*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (613*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (6185*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (11471*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (1473*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (1319*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (49*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1153*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (233*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (8051*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 - 
   (2251*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (5983*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2880*Sqrt[3]) - 
   (743*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (12491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (42551*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (1413*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (293*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 0}, {6, 0}, 1] -> (7*Pi^4)/43740 - 
   (8*Pi^3*H[{2, 0}, 1])/(1215*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/45 + (Pi^2*H[{3, 1}, 1]^2)/27 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (50*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (21*Sqrt[3]) + (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/160 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/45 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(810*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5, 
 H[{2, 0}, {6, 1}, {6, 0}, {6, 1}, 1] -> (-853*Pi^4)/489888 - 
   (607*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (35*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/28 + 
   (Pi^2*H[{3, 1}, 1]^2)/27 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (1669*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (243*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (1397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (311*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (689*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 0}, {0, 0}, 1] -> (23*Pi^4)/11664 - 
   (19*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {6, 1}, {6, 1}, {1, 0}, 1] -> 
  (-227*Pi^4)/38880 - (11*Pi^3*H[{2, 0}, 1])/(2592*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 + (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 + 
   (751*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (7*H[{3, 0}, {0, 0}, 1]^2)/
    128 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(480*Sqrt[3]) - 
   (189*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (122*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 1}, {2, 0}, 1] -> (-25*Pi^4)/23328 - 
   (7*Pi^3*H[{2, 0}, 1])/(1296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    36 - (Pi^2*H[{3, 1}, 1]^2)/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 1}, {3, 0}, 1] -> (-4031*Pi^4)/306180 + 
   (10363*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/
    648 + (Pi*H[{2, 0}, 1]^3)/(9*Sqrt[3]) - (37*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) - (869*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/6 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (1157*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (871*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (5861*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (1111*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (773*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1680*Sqrt[3]) - (253*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (48451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (14873*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (4423*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (290957*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (11671*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (223*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (197*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (86*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2, 
 H[{2, 0}, {6, 1}, {6, 1}, {3, 1}, 1] -> (4201*Pi^4)/1224720 - 
   (14599*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]^2)/
    324 - (Pi*H[{2, 0}, 1]^3)/(6*Sqrt[3]) + (47*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) + (68*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (3079*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (4385*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (77*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (2671*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (583*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/2 + 
   (11027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (6385*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (14*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (458261*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1881*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (6623*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (80989*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (2567*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1856*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (171*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {6, 1}, {6, 0}, 1] -> (-437*Pi^4)/122472 + 
   (1403*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (97*H[{3, 0}, {0, 0}, 1]^2)/
    280 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (859*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (365*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1831*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (103*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (71*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{2, 0}, {6, 1}, {6, 1}, {6, 1}, 1] -> (-19613*Pi^4)/2449440 + 
   (877*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (89*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/504 - (7*Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (2081*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (7039*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (779*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (2749*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (5921*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (1039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (1389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{2, 0}, {6, 1}, {6, 1}, {0, 0}, 1] -> 
  (-793*Pi^4)/90720 - (31*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - 
   (17*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (Pi^2*H[{3, 1}, 1]^2)/18 + (395*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (205*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (731*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (155591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (17999*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {6, 1}, {0, 0}, {1, 0}, 1] -> (-631*Pi^4)/68040 - 
   (5*Pi^3*H[{2, 0}, 1])/(168*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (479*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (1195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (229*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (699*H[{3, 0}, {0, 0}, 1]^2)/448 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (2033*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3360*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (395*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (33811*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (12337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (10057*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (317*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (88*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {6, 1}, {0, 0}, {2, 0}, 1] -> (-13*Pi^4)/272160 + 
   (41*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/
    224 + (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/28 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (355*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (215*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2240*Sqrt[3]) + 
   (3239*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {6, 1}, {0, 0}, {3, 0}, 1] -> (-101*Pi^4)/40824 - 
   (59*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (415*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (223*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (13367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (9157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (136*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {6, 1}, {0, 0}, {3, 1}, 1] -> (3979*Pi^4)/816480 + 
   (109*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/56 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (101*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (65287*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (8143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (431*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (7841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (849*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {6, 1}, {0, 0}, {6, 0}, 1] -> 
  Pi^4/1944 + (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (317*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (869*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (638*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{2, 0}, {6, 1}, {0, 0}, {6, 1}, 1] -> 
  (-823*Pi^4)/116640 - (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/36 - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (187*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (49*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (29*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (221*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {6, 1}, {0, 0}, {0, 0}, 1] -> (-475*Pi^4)/40824 + 
   (67*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(20*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {1, 0}, {2, 0}, 1] -> Pi^4/180 - (Pi^2*H[{2, 0}, 1]^2)/4 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/648 - (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {1, 0}, {3, 1}, 1] -> (-71*Pi^4)/45360 - 
   (43*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (139*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (81*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (809*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (79*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {0, 0}, {1, 0}, {6, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - 
   (3*Pi^2*H[{3, 0}, {0, 0}, 1])/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - 3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {1, 0}, {6, 1}, 1] -> (527*Pi^4)/136080 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (227*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (319*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (229*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (69*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/720 + (Pi^2*H[{2, 0}, 1]^2)/4 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/120 - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {0, 0}, {2, 0}, {3, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{2, 0}, {0, 0}, {2, 0}, {3, 1}, 1] -> (121*Pi^4)/27216 + 
   (Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (607*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (555*H[{3, 0}, {0, 0}, 1]^2)/448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (15*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (73*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {2, 0}, {6, 1}, 1] -> 
  -Pi^4/4320 + (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/12 + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (2531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (769*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (415*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{2, 0}, {0, 0}, {2, 0}, {0, 0}, 1] -> (-7*Pi^4)/1440 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {3, 0}, {1, 0}, 1] -> 
  -Pi^4/648 - (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1], H[{2, 0}, {0, 0}, {3, 0}, {2, 0}, 1] -> 
  (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 
     1] - H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {0, 0}, {3, 0}, {3, 0}, 1] -> 
  (-17*Pi^4)/2916 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{2, 0}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  -Pi^4/1296 - (Pi^3*H[{2, 0}, 1])/(36*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1], H[{2, 0}, {0, 0}, {3, 0}, {6, 0}, 1] -> 
  (557*Pi^4)/204120 + (5*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/18 + (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/112 - (10*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13463*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (2607*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(20*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (1733*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {3, 0}, {6, 1}, 1] -> 
  -Pi^4/648 - (41*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/36 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (323*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (21*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (67*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  (-8*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{2, 0}, {0, 0}, {3, 1}, {1, 0}, 1] -> (2273*Pi^4)/272160 + 
   (25*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (183*H[{3, 0}, {0, 0}, 1]^2)/112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (2977*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2688*Sqrt[3]) + 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (132289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (5309*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (10163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (161*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (11827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) - 
   (3809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {3, 1}, {2, 0}, 1] -> (-19*Pi^4)/27216 + 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (607*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/448 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (505*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (421*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {3, 1}, {3, 0}, 1] -> (77*Pi^4)/11664 + 
   (7*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, 1]^2/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{2, 0}, {0, 0}, {3, 1}, {3, 1}, 1] -> 
  (13*Pi^4)/81648 + (59*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (493*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (527*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (703*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (98513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (11657*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (706*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {0, 0}, {3, 1}, {6, 0}, 1] -> (-109*Pi^4)/25515 + 
   (247*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/14 - (1381*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (249*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/14 + 
   (8959*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 - 
   (275*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (3413*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (2057*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (1343*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (212*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{2, 0}, {0, 0}, {3, 1}, {6, 1}, 1] -> (-457*Pi^4)/102060 + 
   (331*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (115*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (6*H[{3, 0}, {0, 0}, 1]^2)/7 - 
   (11*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - (845*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1512*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (4267*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (433*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (149*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {3, 1}, {0, 0}, 1] -> (157*Pi^4)/38880 + 
   (11*Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    9 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (21*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 0}, {1, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 0}, {3, 0}, 1] -> (-3109*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/18 - 
   (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/112 + (10*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (983*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (221*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {6, 0}, {3, 1}, 1] -> (4859*Pi^4)/816480 - 
   (22*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (293*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (15*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (1319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (31273*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (1853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (367*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (229*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 0}, {6, 0}, 1] -> (-25*Pi^4)/5832 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{2, 0}, {0, 0}, {6, 0}, {6, 1}, 1] -> 
  (-31*Pi^4)/5832 - (19*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 - (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (32*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 0}, {0, 0}, 1] -> 
  (-10*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{2, 0}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-1559*Pi^4)/136080 - 
   (13*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (95*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (165*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/448 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (3211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (317*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (75*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {0, 0}, {6, 1}, {2, 0}, 1] -> (-1037*Pi^4)/272160 - 
   (2*Pi^3*H[{2, 0}, 1])/(63*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 - (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/28 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (355*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2240*Sqrt[3]) - 
   (3239*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {0, 0}, {6, 1}, {3, 0}, 1] -> (-151*Pi^4)/90720 + 
   (43*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (95*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, 1]^2/14 + 
   (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + (6439*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (12096*Sqrt[3]) - (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (115*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (3401*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (319*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 1}, {3, 1}, 1] -> (-97*Pi^4)/51030 - 
   (Pi^3*H[{2, 0}, 1])/(14*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (67*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (395*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (115*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/56 + 
   (11*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (189*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (2059*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2089*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {6, 1}, {6, 0}, 1] -> 
  Pi^4/972 + (5*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/32 + (49*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (169*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (211*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{2, 0}, {0, 0}, {6, 1}, {6, 1}, 1] -> (-871*Pi^4)/408240 - 
   (43*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (323*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (123*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (281*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (1627*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (1699*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{2, 0}, {0, 0}, {6, 1}, {0, 0}, 1] -> (-77*Pi^4)/7776 - 
   (13*Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    9 + (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {0, 0}, {2, 0}, 1] -> 
  -Pi^4/288 - (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{2, 0}, {0, 0}, {0, 0}, {3, 0}, 1] -> (4*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{2, 0}, {0, 0}, {0, 0}, {3, 1}, 1] -> (97*Pi^4)/136080 - 
   (53*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{2, 0}, {0, 0}, {0, 0}, {6, 0}, 1] -> (5*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{2, 0}, {0, 0}, {0, 0}, {6, 1}, 1] -> (503*Pi^4)/272160 + 
   (41*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/84 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/56 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (22*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {1, 0}, {1, 0}, {3, 0}, 1] -> (5*Pi^4)/1944 - 
   H[{3, 0}, {0, 0}, 1]^2/2 - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]), 
 H[{3, 0}, {1, 0}, {1, 0}, {3, 1}, 1] -> 
  Pi^4/34992 + (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/108 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1], H[{3, 0}, {1, 0}, {1, 0}, {6, 0}, 1] -> 
  (-643*Pi^4)/81648 - (9377*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (857*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (269*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (2365*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (157*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/210 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (7159*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (62833*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (821*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (967*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (561*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (274*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (831*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {1, 0}, {6, 1}, 1] -> (-1993*Pi^4)/816480 + 
   (8803*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (347*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (3581*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (1093*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1893*H[{3, 0}, {0, 0}, 1]^2)/4480 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (781*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (61333*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (416*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (111*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (107*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {1, 0}, {2, 0}, {3, 0}, 1] -> 
  (-11*Pi^4)/1944 + (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {2, 0}, {3, 1}, 1] -> (7*Pi^4)/1944 - 
   (11*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (935*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/64 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (2377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{3, 0}, {1, 0}, {2, 0}, {6, 0}, 1] -> 
  (-29*Pi^4)/3402 + (1159*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/27 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (115*H[{3, 0}, {0, 0}, 1]^2)/
    168 + (Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2 - 
   (937*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (335*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (167933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (17761*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4741*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {2, 0}, {6, 1}, 1] -> (-73*Pi^4)/20412 - 
   (2495*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (17*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi^2*H[{3, 1}, 1]^2)/108 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (709*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (29*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (73*H[{3, 0}, {0, 0}, 1]^2)/
    336 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (41*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (3503*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (1369*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (157853*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (17341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4741*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (71*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1], H[{3, 0}, {1, 0}, {3, 0}, {1, 0}, 1] -> 
  (-5*Pi^4)/1944 + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/2 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {1, 0}, {3, 0}, {2, 0}, 1] -> (-5*Pi^4)/5832 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (593*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {3, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{3, 0}, {1, 0}, {3, 0}, {3, 1}, 1] -> (29*Pi^4)/116640 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (17*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {1, 0}, {3, 0}, {6, 0}, 1] -> 
  Pi^4/1458 + (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/162 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, 1]^2/96 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {3, 0}, {6, 1}, 1] -> (-1459*Pi^4)/816480 + 
   (737*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (202*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (649*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (101*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3137*H[{3, 0}, {0, 0}, 1]^2)/3360 - (493*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (10823*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (66347*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (2321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (683*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2579*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {3, 1}, {1, 0}, 1] -> (37*Pi^4)/34992 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/4 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {1, 0}, {3, 1}, {2, 0}, 1] -> (17*Pi^4)/11664 - 
   (7*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (101*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (9*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (529*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{3, 0}, {1, 0}, {3, 1}, {3, 0}, 1] -> 
  (101*Pi^4)/116640 - (Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, 1]^2/32 - (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {1, 0}, {3, 1}, {3, 1}, 1] -> (-55*Pi^4)/69984 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/16 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (9*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {1, 0}, {3, 1}, {6, 0}, 1] -> (-4673*Pi^4)/816480 - 
   (1381*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (181*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (1217*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (571*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (9119*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (473*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (1913*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (344879*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (12837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (10849*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (19213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1837*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (108*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {3, 1}, {6, 1}, 1] -> (5*Pi^4)/23328 + 
   (467*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/216 + (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (641*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 + 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (87*H[{3, 0}, {0, 0}, 1]^2)/
    128 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) - (341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (25729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (927*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1541*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (239*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {1, 0}, {6, 0}, {1, 0}, 1] -> (5*Pi^4)/1008 + 
   (7697*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (577*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (779*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (109*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1137*H[{3, 0}, {0, 0}, 1]^2)/2240 - (761*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (840*Sqrt[3]) - (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5657*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7627*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (2549*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/1008 - (403*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (Pi^2*H[{3, 1}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (8*Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (209*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (8*H[{3, 0}, {0, 0}, 1]^2)/7 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/14 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (2735*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (848389*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (4301*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (18737*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (18517*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (2013*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {6, 0}, {3, 0}, 1] -> (5*Pi^4)/8748 + 
   (7*Pi^3*H[{2, 0}, 1])/(972*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/96 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {6, 0}, {3, 1}, 1] -> (-3271*Pi^4)/2449440 - 
   (1139*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (823*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (1091*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (2341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (6809*H[{3, 0}, {0, 0}, 1]^2)/6720 + (683*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (25493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (79*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (485711*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (1979*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (695*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (24611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (873*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (24*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (108*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {6, 0}, {6, 0}, 1] -> (25*Pi^4)/8748 - 
   (16*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {6, 0}, {6, 1}, 1] -> (1649*Pi^4)/349920 - 
   (407*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (25*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (4531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (2983*H[{3, 0}, {0, 0}, 1]^2)/
    960 - (251*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/6 + (3131*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) - (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2453*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (313*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7267*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (216*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (386*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (96*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {6, 0}, {0, 0}, 1] -> (7*Pi^4)/11664 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {1, 0}, {6, 1}, {1, 0}, 1] -> 
  (341*Pi^4)/102060 - (5443*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (65*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (171*Pi^2*H[{3, 0}, {0, 0}, 1])/448 + 
   (383*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (197*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1613*H[{3, 0}, {0, 0}, 1]^2)/4480 - (401*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (3233*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (671*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(240*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (737*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (208*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (213*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (821*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {1, 0}, {6, 1}, {2, 0}, 1] -> 
  (-487*Pi^4)/116640 + (287*Pi^3*H[{2, 0}, 1])/(11664*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (11*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (559*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (473*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (5*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (41*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (151*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (484217*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (18621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (21*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (24847*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (2683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1] - (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {6, 1}, {3, 0}, 1] -> (-12773*Pi^4)/2449440 - 
   (1091*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (202*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1913*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (853*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (121*H[{3, 0}, {0, 0}, 1]^2)/105 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (5837*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (131381*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (763*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (25511*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (813*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {1, 0}, {6, 1}, {3, 1}, 1] -> (5*Pi^4)/4374 - 
   (179*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/648 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (2417*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 + 
   (3623*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (193*H[{3, 0}, {0, 0}, 1]^2)/384 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (209*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (24163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (1009*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (9943*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5057*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (151*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (769*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (253*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {1, 0}, {6, 1}, {6, 0}, 1] -> 
  (-4309*Pi^4)/349920 - (1513*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (449*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (2305*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (2753*H[{3, 0}, {0, 0}, 1]^2)/
    960 + (391*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 - (5051*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (35317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1567*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (9859*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (333*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (52417*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (1931*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] - 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {6, 1}, {6, 1}, 1] -> (3281*Pi^4)/1224720 - 
   (229*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (17*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (1975*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (185*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (417*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (3599*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (32581*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4871*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {6, 1}, {0, 0}, 1] -> (-869*Pi^4)/816480 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (43*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (1481*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (191*H[{3, 0}, {0, 0}, 1]^2)/224 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (785*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (407*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {1, 0}, {0, 0}, {3, 0}, 1] -> 
  -Pi^4/486 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/2 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (881*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(175*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {1, 0}, {0, 0}, {3, 1}, 1] -> (7*Pi^4)/2916 + 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 - (40*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) + 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {1, 0}, {0, 0}, {6, 0}, 1] -> (-131*Pi^4)/11664 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {1, 0}, {0, 0}, {6, 1}, 1] -> 
  (-199*Pi^4)/90720 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/42 + 
   (341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (6101*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (1753*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1507*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (63*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/243 - (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (5111*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, {3, 1}, 1] -> 
  -Pi^4/216 + (Pi^3*H[{2, 0}, 1])/(24*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (349*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1123*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (1669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) + 
   (223*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, {6, 0}, 1] -> (-5*Pi^4)/2916 - 
   (7*Pi^3*H[{2, 0}, 1])/(180*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    3 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (1147*H[{3, 0}, {0, 0}, 1]^2)/480 + (14*Pi^2*H[{3, 1}, {2, 0}, 1])/135 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (82531*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (11099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (16133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {1, 0}, {6, 1}, 1] -> (233*Pi^4)/45360 - 
   (82*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 + (571*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (929*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3769*H[{3, 0}, {0, 0}, 1]^2)/6720 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (83*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (13429*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (991*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2033*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (407*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (56981*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (6429*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (92*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (241*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^4/972 - H[{3, 0}, {0, 0}, 1]^2/32 + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (4*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]), 
 H[{3, 0}, {2, 0}, {2, 0}, {3, 1}, 1] -> 
  -Pi^4/1944 - (Pi^2*H[{3, 0}, {0, 0}, 1])/96 + H[{3, 0}, {0, 0}, 1]^2/64 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{3, 0}, {2, 0}, {2, 0}, {6, 0}, 1] -> (133*Pi^4)/11664 + 
   (1129*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (289*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1620 + (Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (485*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (759*H[{3, 0}, {0, 0}, 1]^2)/
    320 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/90 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (2429*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) - (791*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5039*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (167*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (28*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {2, 0}, {6, 1}, 1] -> (-761*Pi^4)/816480 + 
   (13843*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (23*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (493*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (6821*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (209*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (837*H[{3, 0}, {0, 0}, 1]^2)/
    4480 - (Pi^2*H[{3, 1}, {2, 0}, 1])/210 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (3259*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (6845*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (16*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3937*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (29*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2497*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (131*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (299*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {3, 0}, {2, 0}, 1] -> (-979*Pi^4)/68040 - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (417*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (2669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (3137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (1679*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (2117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {2, 0}, {3, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {2, 0}, {3, 0}, {3, 1}, 1] -> (-2323*Pi^4)/408240 - 
   (8*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (247*H[{3, 0}, {0, 0}, 1]^2)/280 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (96*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 0}, {2, 0}, {3, 0}, {6, 0}, 1] -> (-1817*Pi^4)/612360 + 
   (169*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (111*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (565*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (19*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {3, 0}, {6, 1}, 1] -> (-25891*Pi^4)/2449440 - 
   (151*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (187*H[{3, 0}, {0, 0}, 1]^2)/336 + (205*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (227*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (3287*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (133087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (2849*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (37951*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (100*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (446*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (92*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {3, 1}, {1, 0}, 1] -> (23*Pi^4)/3888 - 
   (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (97*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (139*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1271*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (219*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {2, 0}, {3, 1}, {2, 0}, 1] -> 
  (979*Pi^4)/136080 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (417*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (125087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2309*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {2, 0}, {3, 1}, {3, 0}, 1] -> (491*Pi^4)/136080 - 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/140 + (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(630*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (1793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 0}, {2, 0}, {3, 1}, {3, 1}, 1] -> (85*Pi^4)/81648 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (1181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (22*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {2, 0}, {3, 1}, {6, 0}, 1] -> (749*Pi^4)/69984 + 
   (53*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (31*H[{3, 0}, {0, 0}, 1]^2)/30 - (119*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(405*Sqrt[3]) - 
   (305*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2941*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (4873*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {3, 1}, {6, 1}, 1] -> (3757*Pi^4)/489888 + 
   (3943*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (226*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (1415*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (569*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (503*H[{3, 0}, {0, 0}, 1]^2)/1680 - (589*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (1399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (37631*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (283*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (242*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/243 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (5*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {2, 0}, {6, 0}, {1, 0}, 1] -> 
  (-31*Pi^4)/27216 + (3823*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (1343*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (727*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1429*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (4073*H[{3, 0}, {0, 0}, 1]^2)/2240 - (199*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) - (3617*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5581*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (676*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (163*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {6, 0}, {2, 0}, 1] -> (-341*Pi^4)/81648 - 
   (173*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (107*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (85*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (281*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (307*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (3695*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (35*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (480013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (24089*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (15161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (68*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {6, 0}, {3, 0}, 1] -> (349*Pi^4)/204120 - 
   (281*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (139*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (403*H[{3, 0}, {0, 0}, 1]^2)/672 - (10*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2231*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (25*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {6, 0}, {3, 1}, 1] -> (-221*Pi^4)/163296 + 
   (607*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (197*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (181*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (205*H[{3, 0}, {0, 0}, 1]^2)/1344 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (2179*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (79*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (197953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (49773*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (143*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (9463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (1107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {6, 0}, {6, 0}, 1] -> (-25*Pi^4)/8748 + 
   (16*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (31*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (283*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32, 
 H[{3, 0}, {2, 0}, {6, 0}, {6, 1}, 1] -> (-18871*Pi^4)/1224720 + 
   (253*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (25*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (323*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (Pi^2*H[{3, 1}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (1139*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (2467*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (4241*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (457*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/6 - (593*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) + (4721*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (157939*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (633*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3676*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (452*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (82*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {6, 0}, {0, 0}, 1] -> (-877*Pi^4)/81648 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/56 + (53*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2783*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (2721*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (356*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (152*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {2, 0}, {6, 1}, {1, 0}, 1] -> (-161*Pi^4)/19440 + 
   (4429*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (83*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (119*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (503*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (489*H[{3, 0}, {0, 0}, 1]^2)/640 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (203*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (27847*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (3539*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (433*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (9019*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (503*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (201*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {6, 1}, {2, 0}, 1] -> (923*Pi^4)/272160 - 
   (569*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi^2*H[{3, 1}, 1]^2)/108 - (65*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (144*Sqrt[3]) + (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (3707*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (69*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (43*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1661*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (153*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (191*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (386413*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (22367*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (13661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (19*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {6, 1}, {3, 0}, 1] -> (473*Pi^4)/90720 - 
   (265*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (565*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (43*H[{3, 0}, {0, 0}, 1]^2)/672 - (137*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) - (407*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (4331*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (3047*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (12401*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1031*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (277*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (142*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (206*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 + 
   (44*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {2, 0}, {6, 1}, {3, 1}, 1] -> (-1621*Pi^4)/408240 - 
   (3331*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    504 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (683*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (361*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (65*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (263*H[{3, 0}, {0, 0}, 1]^2)/2688 + (53*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (2815*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (12241*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (53*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (22451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1943*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2311*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1649*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {2, 0}, {6, 1}, {6, 0}, 1] -> (746*Pi^4)/76545 + 
   (22207*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (2167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (1397*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (3907*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (733*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (4423*H[{3, 0}, {0, 0}, 1]^2)/
    3360 - (2587*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (4327*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (5825*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (316441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (10453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (16237*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (15341*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) - 
   (643*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (226*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (290*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (297*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {6, 1}, {6, 1}, 1] -> (-757*Pi^4)/349920 + 
   (2771*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (85*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 - (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (571*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (625*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (229*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (2377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (145*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (49367*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (3253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1471*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (111*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {2, 0}, {6, 1}, {0, 0}, 1] -> 
  (-3271*Pi^4)/816480 + (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (43*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (271*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (75*H[{3, 0}, {0, 0}, 1]^2)/112 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (44*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (44231*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (136*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (487*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {0, 0}, {3, 0}, 1] -> 
  (2*Pi^4)/243 - (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {2, 0}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/243 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (5*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {2, 0}, {0, 0}, {6, 0}, 1] -> (127*Pi^4)/9072 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (41*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (257*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {2, 0}, {0, 0}, {6, 1}, 1] -> (1591*Pi^4)/816480 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (179*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (41*H[{3, 0}, {0, 0}, 1]^2)/56 + (Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (209*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (23717*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1297*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (52*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 0}, {1, 0}, {3, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (20*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{3, 0}, {3, 0}, {1, 0}, {3, 1}, 1] -> (-17*Pi^4)/23328 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/144 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {1, 0}, {6, 0}, 1] -> 
  -Pi^4/8748 - (4*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 + (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {1, 0}, {6, 1}, 1] -> (245*Pi^4)/69984 - 
   (2*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (53*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (13583*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1039*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {2, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {3, 0}, {2, 0}, {3, 1}, 1] -> (95*Pi^4)/40824 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2593*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {3, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/8748 + (4*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32, 
 H[{3, 0}, {3, 0}, {2, 0}, {6, 1}, 1] -> (299*Pi^4)/244944 + 
   (20*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/84 + (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (126*Sqrt[3]) - (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (139*H[{3, 0}, {0, 0}, 1]^2)/448 - (26*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (709*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (8207*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (199*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (128*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(225*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {3, 0}, {3, 0}, {3, 0}, 1] -> Pi^4/17496, 
 H[{3, 0}, {3, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^4/11664 + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48, 
 H[{3, 0}, {3, 0}, {3, 0}, {6, 0}, 1] -> (-17*Pi^4)/10935 - 
   (Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (49*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - H[{3, 0}, {0, 0}, 1]^2/20 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/405 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    9 - (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4860*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/5 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {3, 0}, {3, 0}, {6, 1}, 1] -> (-53*Pi^4)/87480 - 
   (Pi^3*H[{2, 0}, 1])/(540*Sqrt[3]) - (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (168*Sqrt[3]) - (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - H[{3, 0}, {0, 0}, 1]^2/40 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/810 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2430*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 0}, {3, 0}, {3, 1}, {1, 0}, 1] -> (979*Pi^4)/349920 + 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {3, 1}, {2, 0}, 1] -> (143*Pi^4)/81648 - 
   (Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (559*H[{3, 0}, {0, 0}, 1]^2)/1120 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (3371*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (83*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 0}, {3, 0}, {3, 1}, {3, 0}, 1] -> 
  -Pi^4/34992 + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{3, 0}, {3, 0}, {3, 1}, {3, 1}, 1] -> (67*Pi^4)/58320 + 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {3, 1}, {6, 0}, 1] -> (43*Pi^4)/87480 - 
   (71*Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]^3)/
    (162*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (37*H[{3, 0}, {0, 0}, 1]^2)/480 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (3443*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9720*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (4379*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1009*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 0}, {3, 0}, {3, 1}, {6, 1}, 1] -> (1607*Pi^4)/612360 - 
   (83*Pi^3*H[{2, 0}, 1])/(17010*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (115*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/560 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (5879*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(34020*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (8651*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (1111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (88*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (355*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (44*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 0}, {3, 0}, {3, 1}, {0, 0}, 1] -> (13*Pi^4)/2916 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (9*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (8149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (1061*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {3, 0}, {6, 0}, {1, 0}, 1] -> 
  (557*Pi^4)/1224720 - (253*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/324 + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (1625*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (53*H[{3, 0}, {0, 0}, 1]^2)/168 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (401*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {6, 0}, {2, 0}, 1] -> (4261*Pi^4)/1224720 - 
   (125*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (115*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/28 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (127*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 0}, {6, 0}, {3, 0}, 1] -> (179*Pi^4)/43740 + 
   (29*Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) + (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + 
   (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - 
   (139*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (3*H[{3, 0}, {0, 0}, 1]^2)/20 - 
   (7*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    3 + (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (43*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {6, 0}, {3, 1}, 1] -> (-1529*Pi^4)/1224720 - 
   (103*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (2143*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (101*H[{3, 0}, {0, 0}, 1]^2)/420 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2713*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (4027*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) - 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (361*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {6, 0}, {6, 0}, 1] -> (1679*Pi^4)/153090 + 
   (239*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (53*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (239*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (977*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 + (1159*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (2893*H[{3, 0}, {0, 0}, 1]^2)/2016 - (155*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1134 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (1343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (716*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (2041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4032*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (40*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (8437*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (326*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {3, 0}, {6, 0}, {6, 1}, 1] -> (899*Pi^4)/174960 - 
   (31*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (59*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/162 + 
   (413*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (655*H[{3, 0}, {0, 0}, 1]^2)/576 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (22109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(108*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8677*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (22*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (95*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (23*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/48 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {6, 0}, {0, 0}, 1] -> (1187*Pi^4)/612360 - 
   (253*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (34*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (113*H[{3, 0}, {0, 0}, 1]^2)/168 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {6, 1}, {1, 0}, 1] -> (769*Pi^4)/1224720 - 
   (3481*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/648 - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (2327*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (2873*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1949*H[{3, 0}, {0, 0}, 1]^2)/13440 - (101*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (233*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (1399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (16421*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28800*Sqrt[3]) + 
   (2321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5081*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (991*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (23*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {6, 1}, {2, 0}, 1] -> (6367*Pi^4)/2449440 - 
   (2077*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (139*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (293*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (709*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3307*H[{3, 0}, {0, 0}, 1]^2)/6720 - (239*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (331*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (2039*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (560557*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (12751*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (39247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1341*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (851*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/70 + 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 0}, {6, 1}, {3, 0}, 1] -> (149*Pi^4)/87480 + 
   (67*Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    810 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (25*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + (3*H[{3, 0}, {0, 0}, 1]^2)/40 - 
   (7*Pi^2*H[{3, 1}, {2, 0}, 1])/810 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (43*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {6, 1}, {3, 1}, 1] -> (-4783*Pi^4)/1224720 - 
   (649*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (2953*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (191*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/2688 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (631*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (8923*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (38191*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (933*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (991*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (125*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (505*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {6, 1}, {6, 0}, 1] -> (3953*Pi^4)/612360 + 
   (505*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (23*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (239*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (1271*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (121*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (2683*H[{3, 0}, {0, 0}, 1]^2)/4032 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (415*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (358*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (59207*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (143*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (235*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {3, 0}, {6, 1}, {6, 1}, 1] -> (18679*Pi^4)/2449440 + 
   (1937*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (457*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (977*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (5575*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (647*H[{3, 0}, {0, 0}, 1]^2)/630 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (491*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (55943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (341*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (15157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (19331*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (577*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (647*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 0}, {6, 1}, {0, 0}, 1] -> (1837*Pi^4)/612360 - 
   (26*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (431*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (187*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1091*H[{3, 0}, {0, 0}, 1]^2)/1344 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (437*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (373*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(128*Sqrt[3]) + 
   (953*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (34411*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1293*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {0, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{3, 0}, {3, 0}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/2916 - (Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (5*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {0, 0}, {6, 0}, 1] -> 
  (-43*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (295*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {3, 0}, {0, 0}, {6, 1}, 1] -> (19*Pi^4)/5832 - 
   (43*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - (5*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (295*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (5111*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {1, 0}, {1, 0}, 1] -> (-11*Pi^4)/34992 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {1, 0}, {2, 0}, 1] -> (-5*Pi^4)/1458 + 
   (Pi^3*H[{2, 0}, 1])/(24*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, 1]^2/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) - (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (841*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (1151*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (783*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/1440 + (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (7*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {3, 1}, {1, 0}, {3, 1}, 1] -> (379*Pi^4)/349920 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, 1]^2/32 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {1, 0}, {6, 0}, 1] -> (18713*Pi^4)/2449440 + 
   (6079*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (1159*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/168 + 
   (1723*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (247*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (527*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (6431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (3809*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (125*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (6683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(900*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (298*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (568*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(225*Sqrt[3]) + 
   (128*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (122*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {1, 0}, {6, 1}, 1] -> (1481*Pi^4)/489888 + 
   (14179*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (23*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (1669*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (2489*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (2357*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7597*H[{3, 0}, {0, 0}, 1]^2)/13440 - (391*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (23447*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (3373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (55*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (33007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11173*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (49*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (275*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (187*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {3, 1}, {1, 0}, {0, 0}, 1] -> 
  (-5*Pi^4)/5832 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 + (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (509*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 1}, {2, 0}, {1, 0}, 1] -> (-55*Pi^4)/23328 - 
   (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (851*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (4199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (233*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1271*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (219*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {3, 1}, {2, 0}, {2, 0}, 1] -> 
  (-101*Pi^4)/15120 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (583*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (129287*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{3, 0}, {3, 1}, {2, 0}, {3, 0}, 1] -> 
  (-491*Pi^4)/136080 + (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 + (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/560 - (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(630*Sqrt[3]) - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (1793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 0}, {3, 1}, {2, 0}, {3, 1}, 1] -> (-163*Pi^4)/272160 - 
   (229*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) - (229*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (1457*H[{3, 0}, {0, 0}, 1]^2)/2240 + (229*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (4589*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (323*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2479*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (291*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (229*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {3, 1}, {2, 0}, {6, 0}, 1] -> 
  (-646*Pi^4)/76545 - (851*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (19*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (227*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (1121*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (61*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (67*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (881*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 - (5945*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (3761*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (5011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (25769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (907*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (236*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (109*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (50*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {2, 0}, {6, 1}, 1] -> (-12181*Pi^4)/2449440 - 
   (3011*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (73*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (305*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (685*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (25*H[{3, 0}, {0, 0}, 1]^2)/
    21 + (101*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (3629*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (4001*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (3793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) + 
   (264*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (31*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3167*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (96*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (44*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {3, 1}, {2, 0}, {0, 0}, 1] -> (-5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {3, 1}, {3, 0}, {1, 0}, 1] -> 
  (-295*Pi^4)/69984 - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + H[{3, 0}, {0, 0}, 1]^2/32 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (14*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {3, 1}, {3, 0}, {2, 0}, 1] -> 
  (-1007*Pi^4)/408240 - (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (55*H[{3, 0}, {0, 0}, 1]^2)/56 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (26*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (1121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (68*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {3, 1}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/34992 + (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{3, 0}, {3, 1}, {3, 0}, {3, 1}, 1] -> (-263*Pi^4)/116640 - 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/32 - (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (14*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1234*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {3, 1}, {3, 0}, {6, 0}, 1] -> 
  (79*Pi^4)/244944 + (853*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (293*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (209*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1081*H[{3, 0}, {0, 0}, 1]^2)/3360 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (21139*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) + 
   (139*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (859*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (233*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {3, 0}, {6, 1}, 1] -> (-5*Pi^4)/489888 + 
   (631*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (2629*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (185*H[{3, 0}, {0, 0}, 1]^2)/336 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (6521*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27216*Sqrt[3]) - 
   (4229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (105943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (537*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (6997*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (1727*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (629*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {3, 0}, {0, 0}, 1] -> (-5*Pi^4)/972 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (881*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {3, 1}, {3, 1}, {1, 0}, 1] -> 
  (229*Pi^4)/174960 + (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/216 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, 1]^2/16 - 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {3, 1}, {2, 0}, 1] -> (143*Pi^4)/272160 + 
   (137*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (779*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (1531*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (137*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(945*Sqrt[3]) + 
   (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2983*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (313*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (49*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (197*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {3, 1}, {3, 0}, 1] -> (85*Pi^4)/69984 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - H[{3, 0}, {0, 0}, 1]^2/32 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]), 
 H[{3, 0}, {3, 1}, {3, 1}, {3, 1}, 1] -> (49*Pi^4)/87480 + 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {3, 1}, {6, 0}, 1] -> (2557*Pi^4)/816480 - 
   (137*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (169*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (97*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1165*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (211*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (1565*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (13608*Sqrt[3]) - (4607*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (6611*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5399*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1787*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (173*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (439*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {3, 1}, {6, 1}, 1] -> (433*Pi^4)/408240 + 
   (16873*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) + (473*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 - 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3799*H[{3, 0}, {0, 0}, 1]^2)/13440 - (499*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1237721*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1088640*Sqrt[3]) - (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/128 - 
   (2257*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (16*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (56473*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (5837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (9049*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1153*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/1944 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1067*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{3, 0}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-2113*Pi^4)/306180 + 
   (493*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (2957*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (6547*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (2159*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (8941*H[{3, 0}, {0, 0}, 1]^2)/13440 + (691*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (7307*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (22607*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (808097*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (25231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (81719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (3117*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (7171*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (391*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (691*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (398*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {6, 0}, {2, 0}, 1] -> (-3571*Pi^4)/349920 - 
   (313*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (52*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (155*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3125*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (1429*H[{3, 0}, {0, 0}, 1]^2)/
    960 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (720*Sqrt[3]) - (697*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (173*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (474559*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (162013*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (16757*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (1949*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (435371*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (16353*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (20387*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (2259*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {6, 0}, {3, 0}, 1] -> (-199*Pi^4)/1224720 - 
   (233*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (563*H[{3, 0}, {0, 0}, 1]^2)/3360 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (689*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (9629*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (241*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {6, 0}, {3, 1}, 1] -> (-77*Pi^4)/69984 + 
   (253*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (119*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (227*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 + 
   (3791*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (267*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1961*H[{3, 0}, {0, 0}, 1]^2)/1920 + (181*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1620 + (23*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (509*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) + (2155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (27977*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (579*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5399*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (52*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (19177*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (661*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (178*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (49*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (217*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {6, 0}, {6, 0}, 1] -> (-79*Pi^4)/22680 - 
   (1177*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (239*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (2825*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (3095*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (3103*H[{3, 0}, {0, 0}, 1]^2)/4032 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (1291*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (358*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (96167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2999*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3360*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (28*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (269*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (23*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {3, 1}, {6, 0}, {6, 1}, 1] -> (-137*Pi^4)/29160 - 
   (1699*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) + (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    9 - (221*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (20359*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (37*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1267*H[{3, 0}, {0, 0}, 1]^2)/
    1440 - (Pi^2*H[{3, 1}, {2, 0}, 1])/20 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - H[{3, 1}, {2, 0}, 1]^2 + 
   (119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (805*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (155*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (29212*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) - 
   (2007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (74581*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (7929*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4853*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (327*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (533*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/30 - 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (91*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-6719*Pi^4)/1224720 + 
   (26*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (473*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (1901*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (503*H[{3, 0}, {0, 0}, 1]^2)/1344 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (14117*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) - 
   (12791*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (641*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (4291*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (1131*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (229*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {6, 1}, {1, 0}, 1] -> (-1523*Pi^4)/306180 - 
   (3239*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (65*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (911*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (1457*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (335*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (569*H[{3, 0}, {0, 0}, 1]^2)/560 + (701*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (8203*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (1669*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (132781*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (11663*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (7837*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (20179*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5797*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (536*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (211*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (139*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (281*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (701*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {6, 1}, {2, 0}, 1] -> (-2909*Pi^4)/349920 - 
   (179*Pi^3*H[{2, 0}, 1])/(5832*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/648 + 
   (55*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (233*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1265*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (293*H[{3, 0}, {0, 0}, 1]^2)/
    192 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (9115*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2688*Sqrt[3]) - 
   (1299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7207*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (151297*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (5811*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/4 - 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {3, 1}, {6, 1}, {3, 0}, 1] -> (-2293*Pi^4)/349920 - 
   (167*Pi^3*H[{2, 0}, 1])/(6480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (947*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (181*H[{3, 0}, {0, 0}, 1]^2)/240 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (683*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6480*Sqrt[3]) + 
   (743*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (8467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (223*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3793*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (97*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (149*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {6, 1}, {3, 1}, 1] -> (2783*Pi^4)/1224720 - 
   (4937*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (5753*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (2413*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3571*H[{3, 0}, {0, 0}, 1]^2)/6720 + (181*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (449983*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(181440*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (3113*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (227*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (60097*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (779*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (12533*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (339*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3751*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (131*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (233*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (397*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {6, 1}, {6, 0}, 1] -> (-3503*Pi^4)/2449440 - 
   (2437*Pi^3*H[{2, 0}, 1])/(51030*Sqrt[3]) - (131*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (1651*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (8789*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (10501*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (30469*H[{3, 0}, {0, 0}, 1]^2)/
    20160 + (1193*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (62617*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (120960*Sqrt[3]) - (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 + 
   (10147*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (597743*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) + 
   (19437*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (15829*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (462449*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (17707*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (197*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (1381*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (31*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (1199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (1091*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (1441*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {3, 1}, {6, 1}, {6, 1}, 1] -> (-1229*Pi^4)/489888 - 
   (61*Pi^3*H[{2, 0}, 1])/(1008*Sqrt[3]) - (25*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (17*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (4243*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (2263*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (835*H[{3, 0}, {0, 0}, 1]^2)/4032 + (169*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (29*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) + (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (556363*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (21769*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (70433*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1979*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (19*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (85*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (104*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {3, 1}, {6, 1}, {0, 0}, 1] -> (-8987*Pi^4)/2449440 - 
   (50*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (43*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (437*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1333*H[{3, 0}, {0, 0}, 1]^2)/1344 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2095*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (563*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (149323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (21747*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (121099*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (4737*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (1441*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {3, 1}, {0, 0}, {1, 0}, 1] -> (-7*Pi^4)/5832 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + H[{3, 0}, {0, 0}, 1]^2/8 - 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {0, 0}, {2, 0}, 1] -> (-25*Pi^4)/5832 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - H[{3, 0}, {0, 0}, 1]^2/16 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{3, 0}, {3, 1}, {0, 0}, {3, 0}, 1] -> 
  (-5*Pi^4)/1458 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {3, 1}, {0, 0}, {3, 1}, 1] -> 
  (19*Pi^4)/5832 + (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1033*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {3, 1}, {0, 0}, {6, 0}, 1] -> (7*Pi^4)/3888 + 
   (95*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (47*H[{3, 0}, {0, 0}, 1]^2)/64 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (641*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (391*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {3, 1}, {0, 0}, {6, 1}, 1] -> 
  (-55*Pi^4)/23328 - (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (203*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (21*H[{3, 0}, {0, 0}, 1]^2)/64 - (175*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (959*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (73*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {3, 1}, {0, 0}, {0, 0}, 1] -> 
  -Pi^4/2916 + (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - H[{3, 0}, {0, 0}, 1]^2/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {6, 0}, {1, 0}, {1, 0}, 1] -> (-1039*Pi^4)/408240 - 
   (20297*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 - 
   (869*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - 
   (1853*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (3989*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - (2537*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (296*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (181*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (126443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(37800*Sqrt[3]) + 
   (1513*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (1021*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (59863*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (2349*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (761*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {2, 0}, 1] -> (23*Pi^4)/29160 - 
   (Pi^3*H[{2, 0}, 1])/(60*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/90 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (1093*H[{3, 0}, {0, 0}, 1]^2)/480 + (Pi^2*H[{3, 1}, {2, 0}, 1])/10 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (253*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (487*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (2683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (122*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (13709*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (1461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/4374 - (25*Pi^3*H[{2, 0}, 1])/(972*Sqrt[3]) - 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (379*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {3, 1}, 1] -> (-5087*Pi^4)/2449440 + 
   (Pi^3*H[{2, 0}, 1])/(76545*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (563*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (1193*Pi^2*H[{3, 0}, {0, 0}, 1])/27216 + 
   (9913*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5609*H[{3, 0}, {0, 0}, 1]^2)/6720 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (9617*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (611*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (14*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (245477*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(43200*Sqrt[3]) - 
   (22059*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (289*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3769*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (949*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (491*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (116*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {6, 0}, 1] -> 
  Pi^4/2916 + (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/162 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {6, 1}, 1] -> (1789*Pi^4)/816480 + 
   (29*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (1801*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (211*H[{3, 0}, {0, 0}, 1]^2)/3360 + (151*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (1559*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (176221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (5903*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (241*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (16553*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1977*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1057*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (233*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {1, 0}, {0, 0}, 1] -> (25*Pi^4)/11664 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/4 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (1091*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {6, 0}, {2, 0}, {1, 0}, 1] -> 
  (-697*Pi^4)/408240 - (5083*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/18 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (503*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (89*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (4589*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (407*H[{3, 0}, {0, 0}, 1]^2)/2240 + (409*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (443*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (207751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (23419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (15781*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (531*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2617*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {2, 0}, 1] -> (-323*Pi^4)/204120 - 
   (5597*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (1067*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (485*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (169*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (859*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (757*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (11171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (3291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3047*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (655*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (351*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (52*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {3, 0}, 1] -> (-629*Pi^4)/204120 + 
   (239*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (389*H[{3, 0}, {0, 0}, 1]^2)/672 + (10*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1825*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (46*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {3, 1}, 1] -> (8329*Pi^4)/816480 + 
   (3391*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (509*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (137*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3907*H[{3, 0}, {0, 0}, 1]^2)/2240 - (407*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (3331*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (151*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1426069*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (56807*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (14003*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (1563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1040*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (361*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {6, 0}, 1] -> (137*Pi^4)/612360 - 
   (505*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (181*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (106*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (389*H[{3, 0}, {0, 0}, 1]^2)/672 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (977*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {6, 1}, 1] -> (-31727*Pi^4)/2449440 - 
   (201037*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 + (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (919*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi^2*H[{3, 1}, 1]^2)/108 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (409*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (29581*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (319*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (35*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1637*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (1357*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (465719*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(181440*Sqrt[3]) + 
   (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (65269*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (2763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (88069*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (3263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (29783*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (981*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (640*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (18*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (311*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {2, 0}, {0, 0}, 1] -> (-181*Pi^4)/51030 - 
   (19*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (37*H[{3, 0}, {0, 0}, 1]^2)/112 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (15241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (1549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {6, 0}, {3, 0}, {1, 0}, 1] -> (-209*Pi^4)/204120 + 
   (107*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (841*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (445*H[{3, 0}, {0, 0}, 1]^2)/672 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2273*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 0}, {2, 0}, 1] -> (-323*Pi^4)/76545 + 
   (107*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (293*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (715*H[{3, 0}, {0, 0}, 1]^2)/672 + (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (41*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (8*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-139*Pi^4)/43740 - 
   (13*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    96 + (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (3*H[{3, 0}, {0, 0}, 1]^2)/20 + 
   (4*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    3 - (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 0}, {3, 1}, 1] -> (1669*Pi^4)/1224720 + 
   (31*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (277*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (983*H[{3, 0}, {0, 0}, 1]^2)/3360 + (Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5867*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (9979*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (311*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-13327*Pi^4)/612360 - 
   (116*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/9 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (232*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (1961*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (1543*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5779*H[{3, 0}, {0, 0}, 1]^2)/2016 + (148*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (1343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) + (1432*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (2041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2016*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (80*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (44*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (652*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (22*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (22*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (254*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (16*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (56*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {6, 0}, {3, 0}, {6, 1}, 1] -> (-1859*Pi^4)/204120 + 
   (125*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (16*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (1271*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (118*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7261*H[{3, 0}, {0, 0}, 1]^2)/4032 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (44*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (913*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (74527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (50*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2759*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (56*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (43*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (295*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (125*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (113*H[{3, 0}, {0, 0}, 1]^2)/168 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (1007*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {1, 0}, 1] -> (613*Pi^4)/272160 - 
   (38891*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]^2)/972 - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (239*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - 
   (3623*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (451*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (187*H[{3, 0}, {0, 0}, 1]^2)/210 + (109*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (5521*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (2695519*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) - 
   (28319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3331*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (509*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2195*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (386*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (239*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (134*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {2, 0}, 1] -> (15017*Pi^4)/2449440 - 
   (109*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (80*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (535*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (2269*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (281*H[{3, 0}, {0, 0}, 1]^2)/168 - (257*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (8557*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (12823*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (22727*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (801*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (520*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (118*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {3, 0}, 1] -> (269*Pi^4)/1224720 + 
   (157*Pi^3*H[{2, 0}, 1])/(17010*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (367*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (211*H[{3, 0}, {0, 0}, 1]^2)/1120 + (71*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1249*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (7879*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (511*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (241*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {3, 1}, 1] -> (-13*Pi^4)/153090 - 
   (2701*Pi^3*H[{2, 0}, 1])/(612360*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (233*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + (4801*Pi^2*H[{3, 0}, {0, 0}, 1])/
    54432 - (7423*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (979*H[{3, 0}, {0, 0}, 1]^2)/3360 - (233*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (2477*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(21600*Sqrt[3]) + 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (8597*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (4117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (453*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3289*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {6, 0}, 1] -> (853*Pi^4)/68040 + 
   (463*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (277*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (1273*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (613*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (6841*H[{3, 0}, {0, 0}, 1]^2)/4032 - (193*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1134 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/9 + 
   (899*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2759*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (421*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (31*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {6, 1}, 1] -> (6767*Pi^4)/612360 + 
   (109*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (317*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (6203*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (25693*H[{3, 0}, {0, 0}, 1]^2)/20160 - (247*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 + (16*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/9 + 
   (2419*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (769*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (17323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3780*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (22*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (7331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1070*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (1033*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {3, 1}, {0, 0}, 1] -> (212*Pi^4)/76545 - 
   (379*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (191*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (683*H[{3, 0}, {0, 0}, 1]^2)/1344 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (461*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (85189*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (13021*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (47087*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 0}, {1, 0}, 1] -> (-419*Pi^4)/136080 + 
   (127*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (1625*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (517*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (71*H[{3, 0}, {0, 0}, 1]^2)/112 + 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (1135*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (29*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 0}, {6, 0}, {2, 0}, 1] -> (-2581*Pi^4)/1224720 + 
   (38*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (1993*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (76*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (283*H[{3, 0}, {0, 0}, 1]^2)/336 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (725*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (127*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 0}, {6, 0}, {3, 0}, 1] -> (19*Pi^4)/17496 + 
   (7*Pi^3*H[{2, 0}, 1])/(486*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/648 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, 1]^2/288 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (12*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]), 
 H[{3, 0}, {6, 0}, {6, 0}, {3, 1}, 1] -> (-1433*Pi^4)/408240 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (1955*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (166*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (2117*H[{3, 0}, {0, 0}, 1]^2)/4032 + (83*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (323*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3024*Sqrt[3]) + (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (3313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 0}, {6, 0}, 1] -> (-311*Pi^4)/306180 + 
   (106*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    210 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (809*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (101*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - (101*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/210 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2057*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(17010*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (101*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (101*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {6, 0}, {6, 0}, {6, 1}, 1] -> (-2*Pi^4)/1215 + 
   (187*Pi^3*H[{2, 0}, 1])/(9720*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (8*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (449*H[{3, 0}, {0, 0}, 1]^2)/960 - (97*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1215*Sqrt[3]) + 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(180*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/20 - 
   (21*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 0}, {0, 0}, 1] -> (-1187*Pi^4)/306180 + 
   (107*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (181*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (92*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (13*H[{3, 0}, {0, 0}, 1]^2)/14 + 
   (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 2*H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) + (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (8*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 1}, {1, 0}, 1] -> (-241*Pi^4)/90720 - 
   (8321*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (5161*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 - 
   (5807*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (625*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (737*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (30463*H[{3, 0}, {0, 0}, 1]^2)/13440 + (739*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + (7*H[{3, 1}, {2, 0}, 1]^2)/
    12 - (1627*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (9727*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (18647*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (28571*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (1579*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (171*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (258*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 0}, {6, 1}, {2, 0}, 1] -> (21779*Pi^4)/2449440 + 
   (33085*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 - (53*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (1007*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/108 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (3485*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (32681*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3709*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (135*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1703*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (1073*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (90319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36288*Sqrt[3]) - (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (4127*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (78539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8064*Sqrt[3]) - 
   (11693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (33041*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (519*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (109457*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (4227*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11141*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (193*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (143*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (367*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (241*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 0}, {6, 1}, {3, 0}, 1] -> (101*Pi^4)/153090 + 
   (155*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (31*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (23*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (1607*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (374*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (1909*H[{3, 0}, {0, 0}, 1]^2)/4032 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, 1]^2/9 + (367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-2083*Pi^4)/1224720 - 
   (415*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/972 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (635*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 + (19*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (7537*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (12281*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (7451*H[{3, 0}, {0, 0}, 1]^2)/8064 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (8*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/36 - (115*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (378*Sqrt[3]) + (24335*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (35*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (762949*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (24587*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (201*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (90383*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (3229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8269*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (507*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (463*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 0}, {6, 1}, {6, 0}, 1] -> (533*Pi^4)/244944 - 
   (3781*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (211*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (583*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (1549*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (95*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (767*H[{3, 0}, {0, 0}, 1]^2)/6720 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (55339*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) + 
   (101*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (33119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (5133*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (451*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (9287*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (635*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {6, 1}, {6, 1}, 1] -> (2963*Pi^4)/349920 - 
   (97*Pi^3*H[{2, 0}, 1])/(11664*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + 
   (Pi^2*H[{3, 1}, 1]^2)/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/162 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (113*H[{3, 0}, {0, 0}, 1]^2)/
    96 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (715*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3888*Sqrt[3]) - (1955*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(18*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (241*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - (19*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 0}, {6, 1}, {0, 0}, 1] -> (3119*Pi^4)/1224720 + 
   (73*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (283*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (5423*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/448 - (97*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (773*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (5149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2688*Sqrt[3]) + 
   (621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (17347*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (561*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (14923*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (529*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, {1, 0}, 1] -> (-37*Pi^4)/19440 - 
   (5*Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (36233*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (3987*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (443*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (3749*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {6, 0}, {0, 0}, {2, 0}, 1] -> (2899*Pi^4)/408240 + 
   (41*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/112 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (281*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (107*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) - 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {6, 0}, {0, 0}, {3, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (85*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (461*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (113*H[{3, 0}, {0, 0}, 1]^2)/168 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (215*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, {3, 1}, 1] -> (17*Pi^4)/30618 - 
   (79*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/
    168 + (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (71*H[{3, 0}, {0, 0}, 1]^2)/1344 - (10*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (73033*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (8137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (4169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, {6, 0}, 1] -> (1187*Pi^4)/612360 - 
   (127*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (151*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/28 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (871*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, {6, 1}, 1] -> (617*Pi^4)/122472 - 
   (139*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (787*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (85*H[{3, 0}, {0, 0}, 1]^2)/448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (403*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (493*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (14393*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (459*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (1433*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (179*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 0}, {0, 0}, {0, 0}, 1] -> (79*Pi^4)/22680 - 
   (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/112 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (2129*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {6, 1}, {1, 0}, {1, 0}, 1] -> (271*Pi^4)/272160 + 
   (102283*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (15481*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (173*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (4453*H[{3, 0}, {0, 0}, 1]^2)/13440 + (58*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (757*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) + (2203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (7019*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (346*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (347*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (419*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (209*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {1, 0}, {2, 0}, 1] -> (221*Pi^4)/51030 + 
   (629*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (229*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (719*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (463*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (19*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2761*H[{3, 0}, {0, 0}, 1]^2)/6720 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (3299*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (106961*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (11549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (9133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (347*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (19*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1357*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (737*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (6*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {1, 0}, {3, 0}, 1] -> (26003*Pi^4)/2449440 - 
   (1009*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (773*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (685*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/140 - (143*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (803*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (120181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (25511*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (813*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {1, 0}, {3, 1}, 1] -> (-727*Pi^4)/349920 + 
   (91*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (7*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3240 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (5215*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 - 
   (16595*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (29*H[{3, 0}, {0, 0}, 1]^2)/1920 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1471*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (655*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (411541*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (5601*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1417*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (47*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (24061*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (803*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (251*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/27 - 
   (105*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 0}, {6, 1}, {1, 0}, {6, 0}, 1] -> 
  (1709*Pi^4)/816480 - (17*Pi^3*H[{2, 0}, 1])/(3024*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (521*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (379*H[{3, 0}, {0, 0}, 1]^2)/672 + (185*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (659*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (2963*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (450577*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (15451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (471*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (16529*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (183*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (488*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (82*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (145*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {1, 0}, {6, 1}, 1] -> (1049*Pi^4)/816480 - 
   (23*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (293*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (127*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (1195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (79*H[{3, 0}, {0, 0}, 1]^2)/420 + (152*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (15143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (1475*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (138151*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (5373*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (16571*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (106*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (799*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (479*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {1, 0}, {0, 0}, 1] -> (4999*Pi^4)/816480 + 
   (47*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (445*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (191*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (449*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (1823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (407*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {2, 0}, {1, 0}, 1] -> (397*Pi^4)/90720 - 
   (83203*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (83*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (503*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (391*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (11485*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (37*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (127*H[{3, 0}, {0, 0}, 1]^2)/4480 + (181*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1979*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (649*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (187351*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (23719*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (565*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1639*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (1257*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (95*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {6, 1}, {2, 0}, {2, 0}, 1] -> 
  (-437*Pi^4)/272160 + (6373*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (647*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (2671*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (859*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/4 + 
   (1231*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (125297*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (5891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (12163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (457*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (18841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (287*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (19*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (26*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {6, 1}, {2, 0}, {3, 0}, 1] -> 
  (-1699*Pi^4)/272160 + (349*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (22*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (151*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (197*H[{3, 0}, {0, 0}, 1]^2)/672 + (53*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (305*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (407*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (21131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (3047*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (12121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (1693*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (277*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (142*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (206*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 - 
   (44*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {2, 0}, {3, 1}, 1] -> (1171*Pi^4)/102060 + 
   (15467*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (313*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2520 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (143*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (4619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (65*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (6387*H[{3, 0}, {0, 0}, 1]^2)/4480 - (199*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (2251*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (1355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (125*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (638249*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (28467*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1621*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (1231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3349*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (2767*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2921*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (1063*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (94*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (503*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {2, 0}, {6, 0}, 1] -> (11083*Pi^4)/2449440 - 
   (1343*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (Pi^2*H[{3, 1}, 1]^2)/108 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (281*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (461*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (323*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (35*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (3025*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (145*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (2363*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (3947*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (21953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (9139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (11183*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (22693*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (859*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (113*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (800*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (125*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-6703*Pi^4)/612360 - 
   (2047*Pi^3*H[{2, 0}, 1])/(51030*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (1411*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (1373*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (2473*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (123*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (5563*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (239*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (41*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (533*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (5819*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (173*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (547441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (22063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (21757*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (939*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (275347*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (10501*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2213*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (409*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (800*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (257*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (268*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (11*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {2, 0}, {0, 0}, 1] -> (781*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (43*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - 
   (239*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (131*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (164*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {6, 1}, {3, 0}, {1, 0}, 1] -> (-5143*Pi^4)/816480 + 
   (491*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (137*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (433*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (73*H[{3, 0}, {0, 0}, 1]^2)/1344 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (1489*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (33241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (676*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (278*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {2, 0}, 1] -> (7177*Pi^4)/2449440 + 
   (1709*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (202*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (293*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (1049*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1073*H[{3, 0}, {0, 0}, 1]^2)/840 + (493*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) + 
   (11827*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (83371*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (7899*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (827*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (24263*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (3979*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {3, 0}, 1] -> (-31*Pi^4)/21870 - 
   (19*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - (3*H[{3, 0}, {0, 0}, 1]^2)/40 + 
   (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(540*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {3, 1}, 1] -> (6511*Pi^4)/2449440 + 
   (353*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (151*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (181*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (421*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3613*H[{3, 0}, {0, 0}, 1]^2)/6720 - (116*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (11119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (1861*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (116029*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (631*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (545*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (19429*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (331*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (779*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (359*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {6, 0}, 1] -> (-2839*Pi^4)/204120 - 
   (547*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (17*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (109*Pi^2*H[{3, 0}, {0, 0}, 1])/1134 - 
   (535*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (6967*H[{3, 0}, {0, 0}, 1]^2)/4032 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (689*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (51007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2759*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (28*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (25*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {6, 1}, 1] -> (-37253*Pi^4)/2449440 - 
   (529*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (2707*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (527*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (865*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (16469*H[{3, 0}, {0, 0}, 1]^2)/10080 + (1657*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/18 - (982*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (55943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) - 
   (341*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (15157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (19331*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (22*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (647*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   (16*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (44*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 0}, {0, 0}, 1] -> (-2447*Pi^4)/1224720 + 
   (295*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (125*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (65*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (599*H[{3, 0}, {0, 0}, 1]^2)/1344 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (1979*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (11897*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8807*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {1, 0}, 1] -> (1937*Pi^4)/408240 + 
   (40219*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - 
   (7*Pi^2*H[{2, 0}, 1]^2)/972 - (7*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (673*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (11569*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (937*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1728*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (31*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (253*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (9649*H[{3, 0}, {0, 0}, 1]^2)/13440 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (4213*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1587703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) + 
   (24303*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (69001*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (2083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6785*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (1487*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (457*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (1073*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (179*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (389*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {2, 0}, 1] -> (353*Pi^4)/1224720 + 
   (439*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (517*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (151*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (8347*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (8597*H[{3, 0}, {0, 0}, 1]^2)/6720 - (719*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (3397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (3949*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (108253*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (5877*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (523*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4561*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (74*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (23*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (299*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (119*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (307*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {3, 0}, 1] -> (2633*Pi^4)/349920 + 
   (241*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (919*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (21*H[{3, 0}, {0, 0}, 1]^2)/40 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (28*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (405*Sqrt[3]) - (743*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (9587*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (683*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3653*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (97*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (149*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {3, 1}, 1] -> (-521*Pi^4)/244944 + 
   (16117*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (7*Pi^2*H[{2, 0}, 1]^2)/486 + (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + (28975*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 - (8885*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (6577*H[{3, 0}, {0, 0}, 1]^2)/13440 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (118697*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (120960*Sqrt[3]) - (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/128 + 
   (8609*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (314021*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (4061*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (10511*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (397*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(150*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4267*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (193*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {6, 0}, 1] -> (42419*Pi^4)/2449440 + 
   (401*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (767*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (27031*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (421*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (556*H[{3, 0}, {0, 0}, 1]^2)/315 - (209*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (29657*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (120960*Sqrt[3]) + (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 - 
   (937*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (76277*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (13093*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6048*Sqrt[3]) + 
   (549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2533*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10693*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1238*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (10*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (211*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (818*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {3, 1}, {6, 1}, 1] -> (18241*Pi^4)/1224720 + 
   (1033*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (197*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (803*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (323*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1177*H[{3, 0}, {0, 0}, 1]^2)/1008 - (289*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2268 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/18 + (313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) - (8033*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (70513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (30371*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(432*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (78947*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (2761*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (73*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (326*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 - 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 0}, {6, 1}, {3, 1}, {0, 0}, 1] -> (13463*Pi^4)/2449440 + 
   (355*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (131*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1051*H[{3, 0}, {0, 0}, 1]^2)/1344 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (817*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (491*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (3673*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (823*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (118021*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (4023*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (9221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (543*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {6, 0}, {1, 0}, 1] -> (-13*Pi^4)/30240 + 
   (27347*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (3607*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (4027*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (1025*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (305*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (737*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (23561*H[{3, 0}, {0, 0}, 1]^2)/13440 - (254*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - (5*H[{3, 1}, {2, 0}, 1]^2)/
    12 + (10513*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (10693*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13631*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (541*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (62581*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (6229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (263*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (117*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (216*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {6, 0}, {2, 0}, 1] -> (355*Pi^4)/69984 + 
   (1573*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    270 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 - 
   (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1739*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (65*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (377*H[{3, 0}, {0, 0}, 1]^2)/
    320 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (2026147*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (71921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (10207*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (57817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1851*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (673*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {6, 0}, {3, 0}, 1] -> (157*Pi^4)/204120 + 
   (83*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/972 - 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (821*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (755*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (1601*H[{3, 0}, {0, 0}, 1]^2)/4032 - (26*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (14*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (29*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/9 - (62*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {6, 0}, {3, 1}, 1] -> (-2713*Pi^4)/349920 - 
   (77*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) + (37*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    24 + (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (1013*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 - 
   (45667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (251*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (1343*H[{3, 0}, {0, 0}, 1]^2)/1152 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, 1]^2/36 + (491*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 - 
   (317*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5189*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (253*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (6341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (689*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + H[{2, 0}, {0, 0}, {0, 0}, 
    {1, 0}, 1] + (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{3, 0}, {6, 1}, {6, 0}, {6, 0}, 1] -> 
  (-547*Pi^4)/204120 + (5849*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/216 - (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    420 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (3989*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/6720 - (1019*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (45551*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (83*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(126*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (31*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (277*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (223*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 0}, {6, 1}, {6, 0}, {6, 1}, 1] -> (-33521*Pi^4)/2449440 + 
   (15277*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/
    324 - (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (54*Sqrt[3]) - (859*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (3305*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (1633*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (25*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (17299*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (631*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2 - (22097*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (68040*Sqrt[3]) + (28949*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    9072 + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (7687*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2520*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (26*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (187*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (95*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (569*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (123*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (438*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (23*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {6, 0}, {0, 0}, 1] -> (-2473*Pi^4)/306180 - 
   (5*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (215*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (283*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (3313*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (283*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (607*H[{3, 0}, {0, 0}, 1]^2)/448 + (341*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (475*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (460*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (137813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (21957*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (857*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (111541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (3783*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (15149*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (856*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (215*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {6, 1}, {1, 0}, 1] -> (-769*Pi^4)/272160 + 
   (4637*Pi^3*H[{2, 0}, 1])/(90720*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/648 - 
   (143*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2520 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (3361*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (1363*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (8971*H[{3, 0}, {0, 0}, 1]^2)/13440 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/70 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (13841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (659*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (899*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3360*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (389*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {6, 1}, {6, 1}, {2, 0}, 1] -> (6907*Pi^4)/612360 + 
   (37517*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + (4357*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/216 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (719*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (2557*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (53*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (8941*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (971*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) + (27*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (132451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (14873*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (12989*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (299357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (11671*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (223*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (197*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (86*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2, 
 H[{3, 0}, {6, 1}, {6, 1}, {3, 0}, 1] -> (133*Pi^4)/69984 + 
   (11*Pi^3*H[{2, 0}, 1])/(972*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (121*H[{3, 0}, {0, 0}, 1]^2)/288 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]), 
 H[{3, 0}, {6, 1}, {6, 1}, {3, 1}, 1] -> (-47*Pi^4)/9720 + 
   (11*Pi^3*H[{2, 0}, 1])/(2592*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/648 + 
   (17*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (97*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 - 
   (9875*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 - 
   (805*H[{3, 0}, {0, 0}, 1]^2)/1152 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, 1]^2/36 - (131*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) + (1169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (12221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (5357*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (517*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (61*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {6, 1}, {6, 0}, 1] -> (1289*Pi^4)/244944 + 
   (89*Pi^3*H[{2, 0}, 1])/(5103*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (3679*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (2341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (85*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (353*H[{3, 0}, {0, 0}, 1]^2)/
    336 - (85*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (5065*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27216*Sqrt[3]) - 
   (6143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (605431*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (14453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (83*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (35821*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (423*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (317*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (191*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 0}, {6, 1}, {6, 1}, {6, 1}, 1] -> (-5*Pi^4)/9072 + 
   (913*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (359*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (353*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1723*H[{3, 0}, {0, 0}, 1]^2)/6720 - (359*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (8809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108864*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (271*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (179*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {6, 1}, {0, 0}, 1] -> (851*Pi^4)/2449440 + 
   (223*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (22*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (841*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (2683*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (193*H[{3, 0}, {0, 0}, 1]^2)/448 + (22*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (1703*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (22043*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) - 
   (15989*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (6437*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (151*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2039*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (499*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (89*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (416*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {0, 0}, {1, 0}, 1] -> (-37*Pi^4)/38880 - 
   (11*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (11581*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (1279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (751*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {6, 1}, {0, 0}, {2, 0}, 1] -> 
  (383*Pi^4)/272160 + (125*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (67*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {0, 0}, 1]^2/14 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (9071*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 - 
   (3401*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (142*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {6, 1}, {0, 0}, {3, 0}, 1] -> (4129*Pi^4)/1224720 - 
   (5*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (473*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1583*H[{3, 0}, {0, 0}, 1]^2)/1344 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (114649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (12561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (9647*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (421*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 - 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {0, 0}, {3, 1}, 1] -> (-215*Pi^4)/489888 + 
   (319*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (2003*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (823*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1195*H[{3, 0}, {0, 0}, 1]^2)/1344 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (209*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (34319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (4091*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3187*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (617*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (487*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {0, 0}, {6, 0}, 1] -> (7519*Pi^4)/612360 - 
   (25*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (557*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (493*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (157*H[{3, 0}, {0, 0}, 1]^2)/448 - (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (437*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (4199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (1671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13213*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (12833*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (379*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (731*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {0, 0}, {6, 1}, 1] -> (-83*Pi^4)/174960 - 
   (59*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - (227*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (79*H[{3, 0}, {0, 0}, 1]^2)/64 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 - 
   (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2240*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (1907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7409*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (71*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {6, 1}, {0, 0}, {0, 0}, 1] -> (79*Pi^4)/45360 + 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/224 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/243 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/2 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2818*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {1, 0}, {3, 1}, 1] -> (-5*Pi^4)/1458 - 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/4 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {0, 0}, {1, 0}, {6, 0}, 1] -> (85*Pi^4)/11664 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (5*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (193*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {0, 0}, {1, 0}, {6, 1}, 1] -> 
  (7099*Pi^4)/816480 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (373*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (1541*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {0, 0}, {2, 0}, {3, 0}, 1] -> (-2*Pi^4)/243 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 + (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (210*Sqrt[3]) - (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {2, 0}, {3, 1}, 1] -> 
  Pi^4/243 - (Pi^2*H[{3, 0}, {0, 0}, 1])/16 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (1157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{3, 0}, {0, 0}, {2, 0}, {6, 0}, 1] -> 
  (73*Pi^4)/27216 + (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (163*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (41*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (209*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (36431*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (887*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (152*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {2, 0}, {6, 1}, 1] -> (-1699*Pi^4)/816480 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (857*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/56 + (Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (13577*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (73*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (76*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (183*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 0}, {1, 0}, 1] -> (-13*Pi^4)/1458 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 0}, {2, 0}, 1] -> 
  -Pi^4/2916 + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{3, 0}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  -Pi^4/324 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (21*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (5461*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 0}, {6, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (211*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    84 - (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (1147*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {3, 0}, {6, 1}, 1] -> (-12881*Pi^4)/1224720 + 
   (121*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (47*H[{3, 0}, {0, 0}, 1]^2)/448 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (7297*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1344*Sqrt[3]) - 
   (953*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (373*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (8807*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (421*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 - 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  -Pi^4/81 - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (2818*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 1}, {1, 0}, 1] -> (17*Pi^4)/2916 + 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1997*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {3, 1}, {2, 0}, 1] -> 
  Pi^4/5832 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (3011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (529*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{3, 0}, {0, 0}, {3, 1}, {3, 0}, 1] -> 
  (19*Pi^4)/2916 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2578*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {0, 0}, {3, 1}, {3, 1}, 1] -> 
  (-5*Pi^4)/2916 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {0, 0}, {3, 1}, {6, 0}, 1] -> (3973*Pi^4)/612360 - 
   (121*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (89*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (2017*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (467*H[{3, 0}, {0, 0}, 1]^2)/448 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (1069*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (137*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(144*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (9761*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {3, 1}, {6, 1}, 1] -> (28451*Pi^4)/2449440 + 
   (403*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (187*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (461*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (403*H[{3, 0}, {0, 0}, 1]^2)/448 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (919*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (635*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (25603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/320 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3887*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2233*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(720*Sqrt[3]) - 
   (633*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (304*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/162 - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 0}, {0, 0}, {6, 0}, {1, 0}, 1] -> 
  (-7*Pi^4)/729 + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (811*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (129*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {6, 0}, {2, 0}, 1] -> (-25*Pi^4)/4536 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (107*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (41*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (181*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (2371*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (569*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (223*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (1459*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {6, 0}, {3, 0}, 1] -> (1187*Pi^4)/612360 - 
   (211*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (461*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {6, 0}, {3, 1}, 1] -> (-4691*Pi^4)/1224720 + 
   (121*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    252 - (2017*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (481*H[{3, 0}, {0, 0}, 1]^2)/448 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (83*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (14117*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) - 
   (13291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1637*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (63373*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (2199*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (325*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 - 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {6, 0}, {6, 0}, 1] -> (19*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {6, 0}, {6, 1}, 1] -> (-5*Pi^4)/378 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (1051*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (451*H[{3, 0}, {0, 0}, 1]^2)/448 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (9941*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (484*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (857*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1031*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {6, 0}, {0, 0}, 1] -> (-59*Pi^4)/3402 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (16*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (125*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (188*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (1634*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-2011*Pi^4)/204120 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (295*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (743*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (379*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (341*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {0, 0}, {6, 1}, {2, 0}, 1] -> 
  -Pi^4/10206 - (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/112 - 
   (169*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (167*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (11407*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (9157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (223*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (136*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{3, 0}, {0, 0}, {6, 1}, {3, 0}, 1] -> (911*Pi^4)/1224720 - 
   (121*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (117*H[{3, 0}, {0, 0}, 1]^2)/448 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (114649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (12561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (253*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8807*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (421*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 + 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {6, 1}, {3, 1}, 1] -> (-6613*Pi^4)/1224720 - 
   (403*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (641*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (461*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (445*H[{3, 0}, {0, 0}, 1]^2)/448 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (463*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (635*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (14323*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (569*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (304*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 0}, {0, 0}, {6, 1}, {6, 0}, 1] -> (485*Pi^4)/81648 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (419*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1541*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (437*H[{3, 0}, {0, 0}, 1]^2)/448 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (775*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (5851*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (649*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (1529*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (12713*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (2257*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {6, 1}, {6, 1}, 1] -> (383*Pi^4)/272160 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (1667*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (403*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (509*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (1909*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (1507*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {0, 0}, {6, 1}, {0, 0}, 1] -> (-59*Pi^4)/6804 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (125*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {0, 0}, {3, 0}, 1] -> 
  (4*Pi^4)/729 - H[{3, 0}, {0, 0}, 1]^2/2, 
 H[{3, 0}, {0, 0}, {0, 0}, {3, 1}, 1] -> (-2*Pi^4)/729 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4, 
 H[{3, 0}, {0, 0}, {0, 0}, {6, 0}, 1] -> (187*Pi^4)/13608 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (55*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (152*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (284*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (128*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {0, 0}, {0, 0}, {6, 1}, 1] -> (187*Pi^4)/27216 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (25*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (55*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (599*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {1, 0}, {1, 0}, {3, 1}, 1] -> (-2*Pi^4)/729 - 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/27 + 
   H[{3, 1}, 1]^4/24 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{3, 1}, {1, 0}, {1, 0}, {6, 0}, 1] -> (13451*Pi^4)/2449440 - 
   (2683*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (1367*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (3133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (95*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (2207*H[{3, 0}, {0, 0}, 1]^2)/
    4480 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (613*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) + (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (14377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(280*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1049*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (403*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {1, 0}, {1, 0}, {6, 1}, 1] -> 
  (2495*Pi^4)/489888 - (1061*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (3049*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (415*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (5195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (2069*H[{3, 0}, {0, 0}, 1]^2)/
    4480 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (977*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (7589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (95087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1991*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (173*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (437*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (561*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (199*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (222*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {1, 0}, {2, 0}, {3, 1}, 1] -> 
  (-107*Pi^4)/45360 + (1243*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (6079*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (11071*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (175*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (171*H[{3, 0}, {0, 0}, 1]^2)/56 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (7765*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (74119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1447*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (807*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (29227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (3153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (377*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{3, 1}, {1, 0}, {2, 0}, {6, 0}, 1] -> 
  (43*Pi^4)/6804 + (9803*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (7*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (221*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (5*Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (373*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (967*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (197*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (209*H[{3, 0}, {0, 0}, 1]^2)/
    672 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (2833*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (641*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (156173*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (18181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (17*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1], H[{3, 1}, {1, 0}, {2, 0}, {6, 1}, 1] -> 
  (7277*Pi^4)/816480 + (8839*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/9 - (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (5*Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (1075*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1471*H[{3, 0}, {0, 0}, 1]^2)/1344 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   2*H[{3, 1}, {2, 0}, 1]^2 + (446*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (3169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (391*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (98669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) + 
   (967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (1499*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (16661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (10*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + 3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {3, 0}, {3, 1}, 1] -> (-137*Pi^4)/116640 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {1, 0}, {3, 0}, {6, 0}, 1] -> (-8579*Pi^4)/816480 - 
   (1574*Pi^3*H[{2, 0}, 1])/(76545*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (281*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (395*Pi^2*H[{3, 0}, {0, 0}, 1])/27216 - 
   (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1193*H[{3, 0}, {0, 0}, 1]^2)/2240 + (281*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2941*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (611*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (1295843*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (21043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1991*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (59411*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1913*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (493*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (116*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {3, 0}, {6, 1}, 1] -> (-41*Pi^4)/29160 - 
   (9989*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (1241*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 - 
   (317*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (569*H[{3, 0}, {0, 0}, 1]^2)/1920 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (360*Sqrt[3]) + (655*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (388051*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (6011*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4847*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (35*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (27037*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (851*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (601*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/27 + 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {3, 1}, {1, 0}, 1] -> (-43*Pi^4)/14580 + 
   (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/27 + 
   H[{3, 1}, 1]^4/24 - (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/8 - 
   (16*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {1, 0}, {3, 1}, {2, 0}, 1] -> (1093*Pi^4)/408240 + 
   (1847*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (3037*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (10441*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (185*H[{3, 0}, {0, 0}, 1]^2)/224 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (3203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (184829*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (29227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (3253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (1297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{3, 1}, {1, 0}, {3, 1}, {3, 0}, 1] -> 
  (7*Pi^4)/116640 + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 - (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {1, 0}, {3, 1}, {3, 1}, 1] -> (-137*Pi^4)/116640 + 
   (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/27 + 
   H[{3, 1}, 1]^4/24 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (27*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {1, 0}, {3, 1}, {6, 0}, 1] -> (1441*Pi^4)/122472 + 
   (4049*Pi^3*H[{2, 0}, 1])/(244944*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (1357*Pi^2*H[{3, 0}, {0, 0}, 1])/13608 + 
   (515*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    21 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (709*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5959*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (49165*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12096*Sqrt[3]) + 
   (825*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (293*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2413*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (75*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (817*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/12 - 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {3, 1}, {6, 1}, 1] -> (-899*Pi^4)/2449440 + 
   (193*Pi^3*H[{2, 0}, 1])/(153090*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (319*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (10369*Pi^2*H[{3, 0}, {0, 0}, 1])/
    54432 + (2573*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (6709*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (2413*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (1007*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1204193*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (11833*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (6119*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7691*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (573*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (187*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (1097*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {6, 0}, {1, 0}, 1] -> (-559*Pi^4)/102060 - 
   (677*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - (1087*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (1145*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (1063*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (803*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (2487*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (911*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (3497*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (5087*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (1817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (757*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (181*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (771*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {1, 0}, {6, 0}, {2, 0}, 1] -> 
  (-2039*Pi^4)/816480 - (1217*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (5*Pi^2*H[{3, 1}, 1]^2)/108 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (647*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (1259*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (163*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (97*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (2158*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 + 
   (2299*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (881089*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (4401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (122*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 - 
   (118*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (38*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {6, 0}, {3, 0}, 1] -> (-793*Pi^4)/2449440 + 
   (1259*Pi^3*H[{2, 0}, 1])/(76545*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (1123*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (1025*Pi^2*H[{3, 0}, {0, 0}, 1])/
    27216 - (9577*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1963*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (1333*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (9407*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (611*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (115*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (273077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(43200*Sqrt[3]) + 
   (22059*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (137*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(80*Sqrt[3]) + 
   (289*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4969*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (949*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (491*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (116*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {6, 0}, {3, 1}, 1] -> (-325*Pi^4)/61236 - 
   (6065*Pi^3*H[{2, 0}, 1])/(244944*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (7*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi^2*H[{3, 1}, 1]^2)/72 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (11093*Pi^2*H[{3, 0}, {0, 0}, 1])/
    27216 - (599*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (171*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (5959*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1294381*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (2343*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (1219*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (40157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1825*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {6, 0}, {6, 0}, 1] -> (-583*Pi^4)/69984 + 
   (8*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/288 + (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) - (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/192 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 - 
   (419*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2833*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {1, 0}, {6, 0}, {6, 1}, 1] -> 
  (-2143*Pi^4)/612360 + (869*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (103*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (841*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (7*Pi^2*H[{3, 1}, 1]^2)/108 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (311*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (3595*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (149*H[{3, 0}, {0, 0}, 1]^2)/
    560 - (26*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (49901*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (1543*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (179*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (37*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (15509*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (108*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (719*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (76*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {6, 0}, {0, 0}, 1] -> (-5279*Pi^4)/816480 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (863*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (219*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {6, 1}, {1, 0}, 1] -> (-191*Pi^4)/15120 - 
   (11059*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (41*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (4229*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/448 - 
   (5249*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (3389*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (1537*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1901*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) + (9389*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (48733*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (323*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (209*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (587*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (767*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (297*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {1, 0}, {6, 1}, {2, 0}, 1] -> 
  (-1741*Pi^4)/163296 - (2413*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (341*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (5*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (1817*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (49*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (761*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (583*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (16745*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (593767*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (19871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (881*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(180*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (9511*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (999*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {6, 1}, {3, 0}, 1] -> (487*Pi^4)/349920 + 
   (11429*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (133*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (2935*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 + 
   (17939*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (303*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (26*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/4 - 
   (3781*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6480*Sqrt[3]) - 
   (655*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (245*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (394741*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (5601*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (279*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (47*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (26161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (803*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (251*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/27 + 
   (105*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {1, 0}, {6, 1}, {3, 1}, 1] -> 
  (-18023*Pi^4)/2449440 - (7451*Pi^3*H[{2, 0}, 1])/(306180*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/243 - (47*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (272*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (18325*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (5609*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (23*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (913*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (439*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (20747*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (2689*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (760127*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (1121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (337*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2743*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (337*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (1037*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (283*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (1123*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {1, 0}, {6, 1}, {6, 0}, 1] -> (1667*Pi^4)/349920 + 
   (793*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (77*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (481*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (33*H[{3, 0}, {0, 0}, 1]^2)/
    20 - (173*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (2677*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4320*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (5177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1423*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1451*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5219*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (96*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (562*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (171*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-1481*Pi^4)/349920 + 
   (2*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) + (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/48 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (77*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2029*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6, 
 H[{3, 1}, {1, 0}, {6, 1}, {0, 0}, 1] -> (-9797*Pi^4)/816480 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (25*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (145*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (75*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (2531*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (454*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {1, 0}, {0, 0}, {3, 1}, 1] -> (-14*Pi^4)/3645 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (3*H[{3, 0}, {0, 0}, 1]^2)/2 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {1, 0}, {0, 0}, {6, 0}, 1] -> (851*Pi^4)/90720 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (475*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (303*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (7423*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (757*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {0, 0}, {6, 1}, 1] -> (209*Pi^4)/102060 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (97*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (269*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1433*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1843*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (188*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {2, 0}, {1, 0}, {3, 1}, 1] -> (107*Pi^4)/45360 - 
   (1243*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (Pi^2*H[{3, 1}, 1]^2)/12 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (6079*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (11071*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (343*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (171*H[{3, 0}, {0, 0}, 1]^2)/56 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2 - 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (7765*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (74119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (1447*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (807*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (29227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (3153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (377*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{3, 1}, {2, 0}, {1, 0}, {6, 0}, 1] -> 
  (-563*Pi^4)/408240 + (43*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (44*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (14599*H[{3, 0}, {0, 0}, 1]^2)/6720 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 + (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7601*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (629*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (14333*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (11099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (151*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (148*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {1, 0}, {6, 1}, 1] -> (-251*Pi^4)/10206 - 
   (2711*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (352*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (2957*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (7697*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (25447*H[{3, 0}, {0, 0}, 1]^2)/6720 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (63869*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (7265*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (13039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (2167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (773*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1711*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (3116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (179*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (354*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {2, 0}, {3, 1}, 1] -> -H[{3, 1}, {2, 0}, 1]^2/2 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {2, 0}, {6, 0}, 1] -> (-8041*Pi^4)/816480 - 
   (32203*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (3553*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (11*Pi^2*H[{3, 1}, 1]^2)/216 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (5435*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (11323*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (97*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (24139*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (4229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (4163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1325*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (82*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (71*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (397*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (307*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (264*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {2, 0}, {6, 1}, 1] -> (71*Pi^4)/10080 - 
   (101*Pi^3*H[{2, 0}, 1])/(51030*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (11*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + 
   (2537*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (5*Pi^2*H[{3, 1}, 1]^2)/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (761*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (115*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (5337*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (226*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 + 
   (1642*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (556*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (467*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (228563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (2977*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (191*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1261*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (779*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (554*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (701*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (577*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (449*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (729*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {3, 0}, {3, 1}, 1] -> (173*Pi^4)/116640 + 
   (13*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (17*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (49*H[{3, 0}, {0, 0}, 1]^2)/
    320 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(240*Sqrt[3]) - 
   (91*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (3175*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) + 
   (1879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (89*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(80*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/16 + 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {2, 0}, {3, 0}, {6, 0}, 1] -> 
  (6841*Pi^4)/349920 + (133*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (22*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (59*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (21*H[{3, 0}, {0, 0}, 1]^2)/8 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (1685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (183343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (30327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (1243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (60439*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (2757*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {3, 0}, {6, 1}, 1] -> (5309*Pi^4)/349920 + 
   (107*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (14*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (175*H[{3, 0}, {0, 0}, 1]^2)/96 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) - (1171*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (83*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5137*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (14659*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] - (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {3, 1}, {2, 0}, 1] -> (-1583*Pi^4)/136080 - 
   (247*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (155*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 + (883*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (569*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (913*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2 - (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) + (2557*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (52537*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (8537*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (286*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {3, 1}, {3, 0}, 1] -> (-257*Pi^4)/272160 - 
   (331*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (108*Sqrt[3]) + (229*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (265*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (1457*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (22*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (2279*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (323*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2479*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (291*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (229*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {2, 0}, {3, 1}, {3, 1}, 1] -> 
  (-829*Pi^4)/272160 - (935*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/54 + (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - 
   (409*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + 
   (2453*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (2851*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (2571*H[{3, 0}, {0, 0}, 1]^2)/896 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3*H[{3, 1}, {2, 0}, 1]^2)/4 - (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) + (5021*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (1171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (223*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {1, 0}, {1, 0}, 
    {2, 0}, 1] - (3*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/2 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {3, 1}, {6, 0}, 1] -> (-6289*Pi^4)/489888 - 
   (10273*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (466*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (31543*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (133*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (223*H[{3, 0}, {0, 0}, 1]^2)/105 + (1339*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(630*Sqrt[3]) + 
   (7621*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (83*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17189*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2855*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (394*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1030*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] + (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (617*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {3, 1}, {6, 1}, 1] -> (12899*Pi^4)/2449440 - 
   (1033*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (328*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (1123*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (247*H[{3, 0}, {0, 0}, 1]^2)/840 - (367*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (10441*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (2375*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (19729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (192*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1124*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (682*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (376*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (201*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (551*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 0}, {1, 0}, 1] -> (-31*Pi^4)/68040 - 
   (16963*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (7*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (1853*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (33*Pi^2*H[{3, 0}, {0, 0}, 1])/448 - 
   (107*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (289*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (7663*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (559*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) + (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (48077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (3943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (6953*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (73*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (351*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 0}, {2, 0}, 1] -> (4639*Pi^4)/816480 + 
   (1793*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (209*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (11*Pi^2*H[{3, 1}, 1]^2)/108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (2*Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (2063*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (243*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (3259*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (121*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (514813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (14619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (14123*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (18061*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1329*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (109*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (127*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 0}, {3, 0}, 1] -> (-10429*Pi^4)/816480 - 
   (5071*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (2297*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (179*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (65*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (3907*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (193*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (315*Sqrt[3]) + (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (163*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (155341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (56807*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (43409*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (1563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2507*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1040*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (361*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 0}, {3, 1}, 1] -> (4301*Pi^4)/816480 - 
   (394*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (29*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (857*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (25489*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (133*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (501*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (431*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (277*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (630*Sqrt[3]) + (961*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (121*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2791*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (10651*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (1187*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1294*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (54*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (187*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 0}, {6, 0}, 1] -> (131*Pi^4)/244944 - 
   (50*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (17*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (223*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (73*H[{3, 0}, {0, 0}, 1]^2)/1344 + (281*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (1145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (54913*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (493*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {6, 0}, {6, 1}, 1] -> (3401*Pi^4)/306180 + 
   (1511*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (59*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (449*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (5*Pi^2*H[{3, 1}, 1]^2)/36 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (2*Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (271*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (3379*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (501*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (1027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 - 
   (4525*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (51001*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (1487*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (25127*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (133*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (394*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 0}, {0, 0}, 1] -> (8999*Pi^4)/816480 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (1157*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (109*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (263*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 1}, {1, 0}, 1] -> (67*Pi^4)/4860 + 
   (73*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (233*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (43*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (613*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (283*H[{3, 0}, {0, 0}, 1]^2)/
    160 - (83*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (1081*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (48149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (502*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 1}, {2, 0}, 1] -> (83*Pi^4)/68040 + 
   (1567*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (29*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (157*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (5*Pi^2*H[{3, 1}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (295*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 - (4135*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (493*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (1499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (18155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (133*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (73433*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) + 
   (4583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3599*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (10139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1108*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (52*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (29*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (65*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 1}, {3, 0}, 1] -> (-101*Pi^4)/7560 + 
   (11413*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (13*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (3167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    36 - (1033*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (4171*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (209*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (6387*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (557*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (5923*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (1355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (194083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (28467*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5023*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (1231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1183*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(400*Sqrt[3]) + 
   (2767*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2921*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (1063*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (94*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (503*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 1}, {3, 1}, 1] -> (1121*Pi^4)/116640 - 
   (337*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/27 + 
   (41*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (533*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (247*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (117*H[{3, 0}, {0, 0}, 1]^2)/
    40 - (451*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 + (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (135*Sqrt[3]) - (3049*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (16369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (34*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3481*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (1067*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (682*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (102*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (135*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 + 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {2, 0}, {6, 1}, {6, 0}, 1] -> (-26777*Pi^4)/2449440 + 
   (41693*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (17*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (2437*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (29*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (1721*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (11951*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (761*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (889*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (4327*H[{3, 0}, {0, 0}, 1]^2)/4480 + (1271*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (3211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) - (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (4909*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (94487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1369*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7991*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (5333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1984*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (198*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (171*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {2, 0}, {6, 1}, {6, 1}, 1] -> 
  (-5549*Pi^4)/1224720 + (2287*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (95*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (2267*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (7*Pi^2*H[{3, 1}, 1]^2)/108 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (2099*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (79*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (59*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (18211*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (628*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2 - 
   (4621*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (2089*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (49*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (1351*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100*Sqrt[3]) + 
   (9911*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (29*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6569*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3431*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) - 
   (901*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (611*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (237*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - (289*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (639*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {6, 1}, {0, 0}, 1] -> (977*Pi^4)/204120 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (Pi^2*H[{3, 1}, 1]^2)/9 + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (103*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 2*H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1512*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (11659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (457*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (92*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{3, 1}, {2, 0}, {0, 0}, {3, 1}, 1] -> (139*Pi^4)/68040 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (951*H[{3, 0}, {0, 0}, 1]^2)/448 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (6049*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (4877*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1853*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1961*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (687*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {2, 0}, {0, 0}, {6, 0}, 1] -> (-10679*Pi^4)/816480 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (905*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/56 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (181*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (11617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (265*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (75*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {2, 0}, {0, 0}, {6, 1}, 1] -> (-11*Pi^4)/4860 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (31*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (47*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (431*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 1}, {3, 0}, {1, 0}, {3, 1}, 1] -> (19*Pi^4)/38880 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/216 - 
   (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (17*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 0}, {1, 0}, {6, 0}, 1] -> (-1423*Pi^4)/2449440 - 
   (1039*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (1439*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (1817*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (79*H[{3, 0}, {0, 0}, 1]^2)/140 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (7421*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (3809*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (37979*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) + 
   (2689*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2389*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (24161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (753*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (122*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (175*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 0}, {1, 0}, {6, 1}, 1] -> (-1073*Pi^4)/244944 - 
   (24259*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (37*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (1949*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (1655*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (2995*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (9977*H[{3, 0}, {0, 0}, 1]^2)/13440 + (391*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (1217*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (3373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (1007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(315*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (34*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (1739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (109*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (143*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 0}, {2, 0}, {3, 1}, 1] -> (-173*Pi^4)/116640 - 
   (13*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (17*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (49*H[{3, 0}, {0, 0}, 1]^2)/320 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(240*Sqrt[3]) + 
   (91*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (3175*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) - 
   (1879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (89*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(80*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/16 - 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {3, 0}, {2, 0}, {6, 0}, 1] -> 
  (-557*Pi^4)/612360 + (1327*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (1487*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (1277*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1735*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (38*H[{3, 0}, {0, 0}, 1]^2)/35 - (223*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (15877*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (3905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (31363*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1651*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (904*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (130*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (577*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 0}, {2, 0}, {6, 1}, 1] -> (223*Pi^4)/174960 + 
   (3301*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (37*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/576 + 
   (373*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (227*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1523*H[{3, 0}, {0, 0}, 1]^2)/1920 - (49*Pi^2*H[{3, 1}, {2, 0}, 1])/810 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (1777*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) - (427*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (99397*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (3391*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (26819*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (1027*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (947*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {3, 0}, {3, 0}, {3, 1}, 1] -> 
  -Pi^4/23328 - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/32 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27, 
 H[{3, 1}, {3, 0}, {3, 0}, {6, 0}, 1] -> (19*Pi^4)/43740 - 
   (29*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    810 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (79*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, 1]^2/240 + (Pi^2*H[{3, 1}, {2, 0}, 1])/810 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2009*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(19440*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (2743*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (659*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 1}, {3, 0}, {3, 0}, {6, 1}, 1] -> (3163*Pi^4)/2449440 - 
   (193*Pi^3*H[{2, 0}, 1])/(30240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (221*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (1279*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (3611*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2951*H[{3, 0}, {0, 0}, 1]^2)/4480 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (17010*Sqrt[3]) + (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (1681*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2929*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (13213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (429*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (4283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {3, 0}, {3, 1}, {3, 0}, 1] -> (-61*Pi^4)/349920 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (25*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 1}, {3, 0}, {3, 1}, {3, 1}, 1] -> 
  (-49*Pi^4)/29160 - (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/216 + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (9*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 0}, {3, 1}, {6, 0}, 1] -> (-12647*Pi^4)/2449440 + 
   (3709*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (2561*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (3917*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (3371*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3191*H[{3, 0}, {0, 0}, 1]^2)/4480 + (281*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 + (716*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (8505*Sqrt[3]) + (2419*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (52669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (11759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4919*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) - 
   (1069*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2026*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (535*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (601*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (277*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (404*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {3, 0}, {3, 1}, {6, 1}, 1] -> (-5381*Pi^4)/1224720 - 
   (746*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (37*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) - (671*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (1121*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/560 + (53*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (28057*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(136080*Sqrt[3]) + 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (1969*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) + 
   (281*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3749*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (146*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (187*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (461*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 1}, {3, 0}, {6, 0}, {1, 0}, 1] -> (8237*Pi^4)/1224720 + 
   (76271*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]^2)/1944 + (3127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (17167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 - (14827*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (157*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (8191*H[{3, 0}, {0, 0}, 1]^2)/13440 - (1091*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (14009*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (256723*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(120960*Sqrt[3]) + 
   (879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2383*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (2533*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (353*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (161*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (458*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 0}, {6, 0}, {2, 0}, 1] -> (-15007*Pi^4)/2449440 - 
   (739*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) + (53*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (2441*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (103*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (2995*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (6479*H[{3, 0}, {0, 0}, 1]^2)/3360 + (1531*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (13241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (149*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (7127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3509*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (153703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (5109*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (5347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (247*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (226*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 0}, {6, 0}, {3, 0}, 1] -> (-1739*Pi^4)/1224720 + 
   (53*Pi^3*H[{2, 0}, 1])/(17010*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (351*H[{3, 0}, {0, 0}, 1]^2)/1120 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (4747*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (2743*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (361*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 0}, {3, 1}, 1] -> (1037*Pi^4)/816480 + 
   (3259*Pi^3*H[{2, 0}, 1])/(489888*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (323*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (14437*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 + (25265*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (393*H[{3, 0}, {0, 0}, 1]^2)/896 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (178*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (3503*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (118609*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (533*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (30227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (1151*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (125*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 0}, {6, 0}, 1] -> (-2263*Pi^4)/408240 + 
   (43*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (3943*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (547*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 - 
   (1621*H[{3, 0}, {0, 0}, 1]^2)/4032 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (16*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (599*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (317*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (6241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5760*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (115*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(160*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (313*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 0}, {6, 1}, 1] -> (-211*Pi^4)/45360 + 
   (21937*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (2813*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (8047*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (7285*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (49607*H[{3, 0}, {0, 0}, 1]^2)/40320 + (253*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (3*H[{3, 1}, {2, 0}, 1]^2)/4 - (2221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (27931*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (76763*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (19701*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (21587*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (3013*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (685*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (14*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (877*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (899*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (467*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (19*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 + 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {3, 0}, {6, 0}, {0, 0}, 1] -> (2647*Pi^4)/1224720 + 
   (125*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (641*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (251*H[{3, 0}, {0, 0}, 1]^2)/1344 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (557*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (51703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (5767*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (27133*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1279*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 1}, {1, 0}, 1] -> (5651*Pi^4)/2449440 + 
   (461*Pi^3*H[{2, 0}, 1])/(30618*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (38*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (6553*Pi^2*H[{3, 0}, {0, 0}, 1])/
    54432 + (26645*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (17*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (421*H[{3, 0}, {0, 0}, 1]^2)/1344 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (881*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (183139*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (719*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1411*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (883*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (20777*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/80 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (100*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 1}, {2, 0}, 1] -> (-8447*Pi^4)/2449440 + 
   (865*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (37*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (487*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (2197*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (1513*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (227*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3169*H[{3, 0}, {0, 0}, 1]^2)/2688 + (71*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (1769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (11177*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (19151*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (9291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (1997*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (529*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (25*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (130*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{3, 1}, {3, 0}, {6, 1}, {3, 0}, 1] -> 
  (-8891*Pi^4)/2449440 - (149*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (223*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (463*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (5153*H[{3, 0}, {0, 0}, 1]^2)/6720 + (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (1579*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (1861*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (40543*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (631*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (20129*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (331*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (779*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (359*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 0}, {6, 1}, {3, 1}, 1] -> (809*Pi^4)/408240 - 
   (653*Pi^3*H[{2, 0}, 1])/(612360*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (433*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (2929*Pi^2*H[{3, 0}, {0, 0}, 1])/
    13608 + (823*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - (501*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (23473*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (46561*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (6451*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {6, 1}, {6, 0}, 1] -> (-3985*Pi^4)/489888 + 
   (2563*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (475*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (839*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (31243*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (369*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (7355*H[{3, 0}, {0, 0}, 1]^2)/8064 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (14*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (17*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 + (2647*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 - 
   (11443*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1519769*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (56947*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (8131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3780*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (133579*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (5177*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (23*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (3439*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (164*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (11*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 0}, {6, 1}, {6, 1}, 1] -> (-18493*Pi^4)/2449440 + 
   (997*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (1829*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (5639*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (2111*H[{3, 0}, {0, 0}, 1]^2)/8064 - (55*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (756*Sqrt[3]) + (7025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (54583*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (3509*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(2*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (85*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {3, 0}, {6, 1}, {0, 0}, 1] -> (-3401*Pi^4)/2449440 - 
   (137*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (53*Pi^2*H[{3, 0}, {0, 0}, 1])/
    336 - (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (913*H[{3, 0}, {0, 0}, 1]^2)/1344 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (793*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2489*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (2563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (12689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (8333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (279*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (361*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (244*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 0}, {0, 0}, {3, 1}, 1] -> 
  Pi^4/5832 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/16 + (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/10 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 0}, {0, 0}, {6, 0}, 1] -> (-13*Pi^4)/2916 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + (49*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (607*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (1177*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {3, 0}, {0, 0}, {6, 1}, 1] -> (-5*Pi^4)/1296 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + (27*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (1097*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (641*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{3, 1}, {3, 1}, {1, 0}, {3, 1}, 1] -> 
  (137*Pi^4)/116640 - (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + H[{3, 1}, 1]^4/24 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/32 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 1}, {1, 0}, {6, 0}, 1] -> (-113*Pi^4)/34992 + 
   (Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + 
   (133*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (23*H[{3, 0}, {0, 0}, 1]^2)/
    192 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (83*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (2719*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1049*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2521*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {3, 1}, {1, 0}, {6, 1}, 1] -> (9461*Pi^4)/2449440 + 
   (157*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (47*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - 
   (221*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (253*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (397*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (10573*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (1993*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {3, 1}, {2, 0}, {3, 1}, 1] -> (829*Pi^4)/272160 + 
   (935*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + (353*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1512 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    6 - (2453*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (2851*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (2571*H[{3, 0}, {0, 0}, 1]^2)/896 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (3*H[{3, 1}, {2, 0}, 1]^2)/4 + (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) - (5021*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (1171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (223*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {1, 0}, {1, 0}, 
    {2, 0}, 1] + (3*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/2 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {2, 0}, {6, 0}, 1] -> (9271*Pi^4)/2449440 + 
   (37123*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (97*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (431*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - (5*Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (1009*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (12769*H[{3, 0}, {0, 0}, 1]^2)/13440 - (227*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (630*Sqrt[3]) - (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (793*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (8839*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (351*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {2, 0}, {6, 1}, 1] -> (-911*Pi^4)/122472 + 
   (2729*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (43*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (317*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - (5*Pi^2*H[{3, 1}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (809*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (169*H[{3, 0}, {0, 0}, 1]^2)/
    105 + (881*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2 - (16657*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (3953*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (16789*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (3107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5693*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (29081*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (36*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (268*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (177*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (282*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {3, 0}, {3, 1}, 1] -> (49*Pi^4)/29160 + 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 1}, {3, 0}, {6, 0}, 1] -> (149*Pi^4)/76545 - 
   (13711*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]^2)/486 - (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + 
   (823*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + (1343*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 + (2537*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (613*H[{3, 0}, {0, 0}, 1]^2)/4480 - (127*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/4 - 
   (1693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8505*Sqrt[3]) - 
   (1877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (12343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) - 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (533*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (3233*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (205*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/36 - 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 1}, {3, 0}, {6, 1}, 1] -> (211*Pi^4)/174960 + 
   (2651*Pi^3*H[{2, 0}, 1])/(174960*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1620 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/1944 + 
   (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (77*H[{3, 0}, {0, 0}, 1]^2)/320 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (3517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9720*Sqrt[3]) + (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (50557*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (199*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (7*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (347*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/30 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {3, 1}, {3, 1}, 1] -> H[{3, 1}, 1]^4/24, 
 H[{3, 1}, {3, 1}, {3, 1}, {6, 0}, 1] -> (349*Pi^4)/174960 - 
   (1769*Pi^3*H[{2, 0}, 1])/(174960*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (Pi^2*H[{3, 1}, 1]^2)/72 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + (247*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1944 - (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (17*H[{3, 0}, {0, 0}, 1]^2)/
    120 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4860*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (6229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10800*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (1324*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (769*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/15 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 1}, {3, 1}, {6, 1}, 1] -> (349*Pi^4)/244944 - 
   (6241*Pi^3*H[{2, 0}, 1])/(489888*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (47*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - 
   (6983*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (6883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1075*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3402*Sqrt[3]) - (1859*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (35*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (146777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (1117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (14953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (929*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-2299*Pi^4)/489888 - 
   (2015*Pi^3*H[{2, 0}, 1])/(489888*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 - 
   (32353*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (4225*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (167*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (1793*H[{3, 0}, {0, 0}, 1]^2)/
    2688 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1993*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (7571*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (814313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) - 
   (11373*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (947*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(480*Sqrt[3]) - 
   (621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (27017*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1371*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (18673*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (699*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (421*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {6, 0}, {2, 0}, 1] -> (17561*Pi^4)/2449440 - 
   (9043*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (109*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (283*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2520 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (5*Pi^2*H[{3, 1}, 1]^2)/108 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (32593*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (933*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (16601*H[{3, 0}, {0, 0}, 1]^2)/13440 - (313*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (1565*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (259*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1025*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(288*Sqrt[3]) - 
   (1361*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (37003*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (1397*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1373*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (209*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (172*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (249*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (116*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 0}, {3, 0}, 1] -> (349*Pi^4)/1224720 + 
   (2701*Pi^3*H[{2, 0}, 1])/(612360*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    54 - (5095*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (7591*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (979*H[{3, 0}, {0, 0}, 1]^2)/
    3360 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (1289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (115*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1723*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(21600*Sqrt[3]) - 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (8107*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (12001*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (453*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3079*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {6, 0}, {3, 1}, 1] -> (-349*Pi^4)/58320 + 
   (1769*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - 
   (Pi^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (247*Pi^2*H[{3, 0}, {0, 0}, 1])/648 + 
   (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (17*H[{3, 0}, {0, 0}, 1]^2)/
    40 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (6229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) - 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1324*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (639*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (769*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 0}, {6, 0}, 1] -> (89*Pi^4)/43740 + 
   (467*Pi^3*H[{2, 0}, 1])/(38880*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/27 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (847*Pi^2*H[{3, 0}, {0, 0}, 1])/
    5184 + (595*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (2609*H[{3, 0}, {0, 0}, 1]^2)/5760 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15*Sqrt[3]) - (725*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (64967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28800*Sqrt[3]) + 
   (2101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(135*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (20027*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (841*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) - 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (479*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 1}, {6, 0}, {6, 1}, 1] -> (1471*Pi^4)/306180 + 
   (2749*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (67*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) - (341*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (7*Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (739*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 + (1531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (10091*H[{3, 0}, {0, 0}, 1]^2)/
    20160 - (149*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (23*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (25561*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (3719*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (47*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (1172323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (6127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (58*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(945*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (100033*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (557*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (455*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-541*Pi^4)/153090 + 
   (43*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (109*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (401*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2605*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (331*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (467*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (83*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (20807*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (741*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (284*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {6, 1}, {1, 0}, 1] -> (-3403*Pi^4)/2449440 + 
   (15203*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/972 - 
   (41*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (7487*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 - 
   (163*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (1829*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (6571*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (131909*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) + 
   (667*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (551*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (859*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (667*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (583*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (302*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {3, 1}, {6, 1}, {2, 0}, 1] -> (4279*Pi^4)/2449440 - 
   (9769*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (31*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (5*Pi^2*H[{3, 1}, 1]^2)/216 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (725*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (149*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1423*H[{3, 0}, {0, 0}, 1]^2)/1120 - (274*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 + (167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (4985*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (15809*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (9211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3023*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (379*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1535*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (187*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (221*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (377*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 1}, {3, 0}, 1] -> (425*Pi^4)/122472 - 
   (31237*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (163*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (19*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (31915*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (9557*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (6577*H[{3, 0}, {0, 0}, 1]^2)/13440 - (Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (36859*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (40320*Sqrt[3]) + (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/128 - 
   (8609*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (245*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (297221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (4061*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3457*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (397*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (182*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(225*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4267*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (193*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {6, 1}, {3, 1}, 1] -> (-349*Pi^4)/81648 + 
   (6241*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (47*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/56 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (6983*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (6883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1075*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (1859*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (146777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (3351*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (14953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (231*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (929*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {6, 1}, {6, 0}, 1] -> (1261*Pi^4)/816480 + 
   (2381*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (197*Pi^2*H[{3, 0}, {0, 0}, 1])/567 + 
   (2983*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (509*H[{3, 0}, {0, 0}, 1]^2)/
    20160 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (743*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (7001*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (337453*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (11759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (42691*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (8881*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1069*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2111*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (136*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (1619*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (197*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {6, 1}, {6, 1}, 1] -> (253*Pi^4)/40824 + 
   (311*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (3503*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (1417*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (1093*H[{3, 0}, {0, 0}, 1]^2)/4032 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (449*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (1207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (194441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (10483*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8777*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (953*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (97*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (719*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (317*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {3, 1}, {6, 1}, {0, 0}, 1] -> (-1213*Pi^4)/1224720 + 
   (389*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (25*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (20*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (253*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1075*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (1003*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (1663*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (17623*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (699*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3901*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {3, 1}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/405 - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/8 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (3*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 1}, {0, 0}, {6, 0}, 1] -> 
  Pi^4/23328 - (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (113*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - H[{3, 0}, {0, 0}, 1]^2/64 - 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {3, 1}, {0, 0}, {6, 1}, 1] -> (227*Pi^4)/51030 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (121*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (67*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (178*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (2191*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (1993*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (127*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {6, 0}, {1, 0}, {1, 0}, 1] -> (833*Pi^4)/116640 - 
   (11989*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3240 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + 
   (725*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 + 
   (899*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (1121*H[{3, 0}, {0, 0}, 1]^2)/1920 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (233*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2160*Sqrt[3]) + (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (13591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) + 
   (267*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (523*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (33149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1207*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2389*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (23*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (49*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {1, 0}, {2, 0}, 1] -> (19*Pi^4)/7560 - 
   (787*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (289*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (223*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (251*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (19*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (14011*H[{3, 0}, {0, 0}, 1]^2)/6720 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1260 + (35*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/40 - 
   (391*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (177007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (17663*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2413*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4951*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (3793*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (3403*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (190*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (162*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {1, 0}, {3, 0}, 1] -> (2641*Pi^4)/2449440 + 
   (2609*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (799*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (3203*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (473*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (14059*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (85*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (59879*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (1979*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (24611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (873*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (404*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (108*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {1, 0}, {3, 1}, 1] -> (451*Pi^4)/61236 - 
   (4015*Pi^3*H[{2, 0}, 1])/(244944*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (83*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 + (10631*Pi^2*H[{3, 0}, {0, 0}, 1])/27216 + 
   (179*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (373*H[{3, 0}, {0, 0}, 1]^2)/
    672 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (3289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (5959*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (119*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (1294381*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (2343*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1219*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (40157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1825*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {1, 0}, {6, 0}, 1] -> (-3257*Pi^4)/816480 - 
   (299*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (559*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1639*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (719*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3293*H[{3, 0}, {0, 0}, 1]^2)/3360 + (803*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (89707*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (89*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (58*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (489*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (93*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {1, 0}, {6, 1}, 1] -> (-1823*Pi^4)/816480 - 
   (41*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (571*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (785*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (533*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1331*H[{3, 0}, {0, 0}, 1]^2)/3360 + (64*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2483*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (253*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (4289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1597*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3473*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {1, 0}, {0, 0}, 1] -> (641*Pi^4)/90720 - 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (26*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (219*H[{3, 0}, {0, 0}, 1]^2)/224 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (691*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (4819*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (103*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {2, 0}, {1, 0}, 1] -> (347*Pi^4)/816480 + 
   (55483*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (5*Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + 
   (2183*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (943*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (3883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (37*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (283*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (267*H[{3, 0}, {0, 0}, 1]^2)/
    4480 - (467*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (4951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (1535*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (379*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (19*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (884*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (313*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (172*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (183*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {6, 0}, {2, 0}, {2, 0}, 1] -> 
  (1171*Pi^4)/816480 - (6373*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (647*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (11*Pi^2*H[{3, 1}, 1]^2)/
    216 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (491*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1279*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (86*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (89641*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (3539*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4301*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (21*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (683*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (351*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (26*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {6, 0}, {2, 0}, {3, 0}, 1] -> 
  (697*Pi^4)/163296 - (397*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (257*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (209*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (14*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (65*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (185*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (2179*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (63851*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (49773*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3271*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (1107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (325*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {2, 0}, {3, 1}, 1] -> (-4301*Pi^4)/816480 + 
   (394*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (13*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 - (Pi^2*H[{3, 1}, 1]^2)/36 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (857*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (25489*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (133*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (501*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (277*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (630*Sqrt[3]) - (961*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2791*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (10651*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (1187*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1294*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (54*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (187*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {2, 0}, {6, 0}, 1] -> (11033*Pi^4)/2449440 + 
   (1307*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (127*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (55*H[{3, 0}, {0, 0}, 1]^2)/336 - (125*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1595*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (142109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (4567*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16763*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (146*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {2, 0}, {6, 1}, 1] -> (641*Pi^4)/122472 + 
   (38747*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (223*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2520 + (11*Pi^2*H[{3, 1}, 1]^2)/216 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (4499*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (5599*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (3077*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) + (1853*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (630137*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (3773*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (31*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2507*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (101047*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (3401*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (461*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (193*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (10*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {2, 0}, {0, 0}, 1] -> (-361*Pi^4)/408240 + 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (31*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (23*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (75751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (7739*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (829*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {6, 0}, {3, 0}, {1, 0}, 1] -> (-527*Pi^4)/816480 - 
   (58309*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]^2)/972 + (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (559*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (10*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    27 + (6401*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (1403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (1539*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (1153*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7639*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (2075*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (3217931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) - 
   (44731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (623*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(480*Sqrt[3]) - 
   (401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (2479*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (157*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (202*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (353*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 0}, {2, 0}, 1] -> (36689*Pi^4)/2449440 + 
   (3739*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (883*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (107*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (1643*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5659*H[{3, 0}, {0, 0}, 1]^2)/1680 - (1747*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (1909*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (18217*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (504409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (76721*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (7109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (13639*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (597*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (24491*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (801*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1528*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (253*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (926*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 0}, {3, 0}, 1] -> (1039*Pi^4)/1224720 + 
   (383*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - 
   (985*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (101*H[{3, 0}, {0, 0}, 1]^2)/420 + (Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (10763*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (817*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (191*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/105 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 0}, {3, 1}, 1] -> (-827*Pi^4)/816480 - 
   (5779*Pi^3*H[{2, 0}, 1])/(489888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (281*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (10*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    27 + (14773*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (26105*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (1459*H[{3, 0}, {0, 0}, 1]^2)/
    2688 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (178*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (3503*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (118609*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (533*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (30227*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (1151*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (227*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (125*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 0}, {6, 0}, 1] -> (1231*Pi^4)/204120 + 
   (761*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (20*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (647*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (907*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (2467*H[{3, 0}, {0, 0}, 1]^2)/4032 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (10*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/9 + (2767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (593*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (49813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (5997*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (32*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (53*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (577*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   (43*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (76*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {3, 0}, {6, 1}, 1] -> (4541*Pi^4)/2449440 + 
   (1259*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (1361*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (24137*H[{3, 0}, {0, 0}, 1]^2)/20160 + (193*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (22*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (9971*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 - 
   (389*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (2239*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1667*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (40*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (977*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (1093*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (188*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-619*Pi^4)/1224720 - 
   (337*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (293*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (1747*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1249*H[{3, 0}, {0, 0}, 1]^2)/1344 + (67*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (160*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (51703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) - 
   (5967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2843*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (18761*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {1, 0}, 1] -> (55*Pi^4)/27216 + 
   (335*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/6 + 
   (3697*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (349*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7*Sqrt[3]) + (403*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (115*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (22283*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (1269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (15011*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (493*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (73*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {2, 0}, 1] -> (-22219*Pi^4)/2449440 + 
   (913*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (494*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (491*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (74*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7549*H[{3, 0}, {0, 0}, 1]^2)/3360 + (284*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (5039*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (16007*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (83*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (42053*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (1607*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6707*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (317*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (848*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (253*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {3, 0}, 1] -> (31*Pi^4)/69984 + 
   (347*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (367*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 + (89*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (3847*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (267*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (2161*H[{3, 0}, {0, 0}, 1]^2)/
    1920 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (833*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3240*Sqrt[3]) - (2155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (89*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (15859*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (579*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (4909*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (52*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (17777*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (661*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (148*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (49*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (217*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {3, 1}, 1] -> (349*Pi^4)/58320 - 
   (1769*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (247*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - 
   (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/40 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (6229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) + 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (1324*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (639*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (769*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {3, 1}, {6, 0}, 1] -> (-1289*Pi^4)/349920 - 
   (767*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 - 
   (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (817*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (2359*H[{3, 0}, {0, 0}, 1]^2)/2880 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/9 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15*Sqrt[3]) + 
   (725*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (64967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (2101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (218*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(135*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (20027*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (841*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (76*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (479*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/60 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (32*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {6, 1}, 1] -> (-2951*Pi^4)/612360 - 
   (62*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (569*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (1937*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (34*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (11117*H[{3, 0}, {0, 0}, 1]^2)/20160 + (613*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (14*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 + (7933*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (36673*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (7733*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (844*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(945*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1763*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (703*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (38*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (923*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (772*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (839*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (34*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (289*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {3, 1}, {0, 0}, 1] -> (1613*Pi^4)/489888 - 
   (127*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (277*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (977*H[{3, 0}, {0, 0}, 1]^2)/1344 - (40*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (403*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (251*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (8483*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (289*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 0}, {1, 0}, 1] -> (1831*Pi^4)/272160 - 
   (653*Pi^3*H[{2, 0}, 1])/(90720*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/648 + 
   (461*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (1165*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (15823*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (8591*H[{3, 0}, {0, 0}, 1]^2)/13440 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - H[{3, 1}, {2, 0}, 1]^2/12 + 
   (317*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) - 
   (383*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (64369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (1499*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (107*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (407*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {6, 0}, {2, 0}, 1] -> (1649*Pi^4)/489888 - 
   (2783*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (17*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (326*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2365*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (367*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (67*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1111*H[{3, 0}, {0, 0}, 1]^2)/2240 + (46*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (461*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (67*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (5113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1920*Sqrt[3]) + 
   (4031*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2171*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (10187*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3067*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (205*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (149*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {6, 0}, {3, 0}, 1] -> (4369*Pi^4)/1224720 - 
   (211*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 + 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (671*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (2257*H[{3, 0}, {0, 0}, 1]^2)/4032 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (1081*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 0}, {3, 1}, 1] -> 
  -Pi^4/2592 + (5*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - 
   (25*Pi^2*H[{2, 0}, 1]^2)/486 - (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 - (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (54*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/288 - (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    108 - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 0}, {6, 0}, 1] -> (451*Pi^4)/612360 - 
   (1369*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (743*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + (101*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/420 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (7369*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (179*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (101*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (101*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 1}, {6, 0}, {6, 0}, {6, 1}, 1] -> (-23*Pi^4)/15309 - 
   (1061*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (25*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (2*Pi^2*H[{3, 1}, 1]^2)/27 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (305*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (1091*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/448 + (46*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (400*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1701*Sqrt[3]) + (2545*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (85*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (113*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/144 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (13*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 0}, {0, 0}, 1] -> (4087*Pi^4)/1224720 - 
   (19*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (949*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (61*H[{3, 0}, {0, 0}, 1]^2)/448 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (1201*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (100*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (66019*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (5891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (41387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (376*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 1}, {1, 0}, 1] -> (229*Pi^4)/272160 - 
   (15049*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (71*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (563*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (323*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (533*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (53*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (601*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (10403*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (3701*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (199*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (96013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (32031*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (43*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (755*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (8213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3360*Sqrt[3]) + 
   (821*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1117*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (541*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (199*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/70 + 
   (177*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {6, 0}, {6, 1}, {2, 0}, 1] -> 
  (-4031*Pi^4)/1224720 - (8375*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + 
   (29*Pi^2*H[{2, 0}, 1]^2)/648 + (17*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/168 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (19*Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (5737*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (33797*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (1473*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (1363*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1433*H[{3, 0}, {0, 0}, 1]^2)/2688 + (205*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2268 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (8051*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (8545*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (97*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (5983*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2880*Sqrt[3]) + 
   (743*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (12491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (42551*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (1413*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (293*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 0}, {6, 1}, {3, 0}, 1] -> (1883*Pi^4)/349920 - 
   (355*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (17*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    648 + (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (25*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (271*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1728 + (48299*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (251*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (35*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1783*H[{3, 0}, {0, 0}, 1]^2)/
    1152 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/36 + (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 + 
   (317*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (22*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1823*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (6341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (689*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - H[{2, 0}, {0, 0}, {0, 0}, 
    {1, 0}, 1] - (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{3, 1}, {6, 0}, {6, 1}, {3, 1}, 1] -> 
  (-419*Pi^4)/87480 + (49*Pi^3*H[{2, 0}, 1])/(5832*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]^2)/972 + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 - 
   (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (233*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (131*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (259*H[{3, 0}, {0, 0}, 1]^2)/
    576 - (Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - H[{3, 1}, {2, 0}, 1]^2/9 + 
   (277*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (191*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (76301*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (8789*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (21923*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (799*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1619*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {6, 1}, {6, 0}, 1] -> (523*Pi^4)/816480 + 
   (5317*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (673*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (143*Pi^2*H[{3, 0}, {0, 0}, 1])/1134 + 
   (2825*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (10303*H[{3, 0}, {0, 0}, 1]^2)/6720 - (1031*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (6973*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8505*Sqrt[3]) - 
   (6053*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (1573*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (8381*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) + 
   (521*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (7241*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (311*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (193*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 0}, {6, 1}, {6, 1}, 1] -> (-16697*Pi^4)/2449440 - 
   (4379*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (25*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) - (535*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (19*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (1781*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (2599*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (19*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1157*H[{3, 0}, {0, 0}, 1]^2)/2688 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (1073*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3402*Sqrt[3]) + (9071*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (25*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (338*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (583*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (103*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 0}, {6, 1}, {0, 0}, 1] -> (-283*Pi^4)/1224720 - 
   (247*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (29*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (961*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (12487*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (71*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (71*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (1265*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (983*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (151427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (2629*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (503*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(360*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (34541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (1039*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(180*Sqrt[3]) + 
   (279*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (145*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {0, 0}, {1, 0}, 1] -> (-43*Pi^4)/38880 + 
   (11*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (443*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 + (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (5309*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (651*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (227*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3049*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (1409*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (155*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {6, 0}, {0, 0}, {2, 0}, 1] -> 
  (-2969*Pi^4)/816480 - (125*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (1319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 - 
   (31273*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (367*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (229*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {6, 0}, {0, 0}, {3, 0}, 1] -> (1961*Pi^4)/1224720 + 
   (5*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (2297*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2003*H[{3, 0}, {0, 0}, 1]^2)/1344 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (4039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) + 
   (13291*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (4157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (67573*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (2199*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (493*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 + 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {0, 0}, {3, 1}, 1] -> (1321*Pi^4)/349920 - 
   (31*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/162 + (85*Pi^2*H[{3, 0}, {0, 0}, 1])/
    288 - (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/192 + (Pi^2*H[{3, 1}, {2, 0}, 1])/162 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 + 
   (20243*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (2327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3841*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (8*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {0, 0}, {6, 0}, 1] -> (-59*Pi^4)/174960 + 
   (31*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/64 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (12673*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (8891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (18133*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (55787*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {0, 0}, {6, 1}, 1] -> (-3167*Pi^4)/349920 + 
   (29*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - 
   (107*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (69*H[{3, 0}, {0, 0}, 1]^2)/64 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (67*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (9757*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (913*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7607*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (4901*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (547*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (10*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 0}, {0, 0}, {0, 0}, 1] -> (689*Pi^4)/408240 - 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (89*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/224 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {6, 1}, {1, 0}, {1, 0}, 1] -> (2183*Pi^4)/816480 - 
   (88661*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/486 + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (1423*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (16307*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (36187*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (4129*H[{3, 0}, {0, 0}, 1]^2)/13440 - (277*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (683*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (14117*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (41563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10800*Sqrt[3]) - 
   (3431*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (377*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (667*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(720*Sqrt[3]) - 
   (179*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (109*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (452*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {1, 0}, {2, 0}, 1] -> (-5137*Pi^4)/408240 - 
   (1837*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (1277*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + (1255*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (827*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (21223*H[{3, 0}, {0, 0}, 1]^2)/6720 + (118*Pi^2*H[{3, 1}, {2, 0}, 1])/
    945 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2651*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (1765*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (13039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (10741*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (407*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (320*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (311*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (236*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {1, 0}, {3, 0}, 1] -> (-163*Pi^4)/34992 + 
   (299*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (143*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    24 - (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (823*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1728 - (3511*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (139*H[{3, 0}, {0, 0}, 1]^2)/
    128 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (215*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (2747*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2240*Sqrt[3]) + 
   (1009*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (5057*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (151*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (769*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (253*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {6, 1}, {1, 0}, {3, 1}, 1] -> 
  (18023*Pi^4)/2449440 - (2629*Pi^3*H[{2, 0}, 1])/(306180*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]^2)/243 + (19*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (983*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (20677*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (4937*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (211*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (779*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (193*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (20747*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (2689*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (79*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (760127*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (1121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (8719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (337*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2743*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (337*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (1037*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (283*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (1123*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {1, 0}, {6, 0}, 1] -> (-3043*Pi^4)/816480 + 
   (11*Pi^3*H[{2, 0}, 1])/(5040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (3907*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (703*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (2489*H[{3, 0}, {0, 0}, 1]^2)/3360 - (341*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (15053*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(60480*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (1235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (43*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (162467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (9259*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (108*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (86*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {1, 0}, {6, 1}, 1] -> (5099*Pi^4)/816480 + 
   (71*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (108*Sqrt[3]) + (1033*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (5297*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (281*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/560 - (1033*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (23393*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (10*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (7271*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1621*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (151*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 1}, {6, 1}, {1, 0}, {0, 0}, 1] -> (869*Pi^4)/204120 - 
   (137*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (36*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (369*H[{3, 0}, {0, 0}, 1]^2)/448 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (409*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (959*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(200*Sqrt[3]) - 
   (2371*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1007*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (123*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (551*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {6, 1}, {2, 0}, {1, 0}, 1] -> (2923*Pi^4)/408240 + 
   (40783*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/54 - 
   (19*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (409*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (953*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (19223*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (611*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (571*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (887*H[{3, 0}, {0, 0}, 1]^2)/
    560 - (409*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (1381*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (989*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (53831*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (18437*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (29893*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (989*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (577*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (99*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {2, 0}, 1] -> (-883*Pi^4)/136080 - 
   (6569*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (25*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (883*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (5*Pi^2*H[{3, 1}, 1]^2)/108 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (5543*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (531*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2273*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (4339*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (199*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (906167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (4323*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (24917*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (867*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (4993*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (1451*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (554*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (341*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (219*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {3, 0}, 1] -> (2111*Pi^4)/408240 - 
   (3557*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (49*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (1097*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (121*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (655*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (6469*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (12241*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (149*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (4217*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5549*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2311*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1649*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {3, 1}, 1] -> (-1121*Pi^4)/116640 + 
   (337*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (53*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (187*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (533*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (259*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (117*H[{3, 0}, {0, 0}, 1]^2)/
    40 + (451*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 2*H[{3, 1}, {2, 0}, 1]^2 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(135*Sqrt[3]) + 
   (3049*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 + 
   (59*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (16369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (34*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3481*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (1067*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (682*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (102*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (135*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 - 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {6, 0}, 1] -> (-1171*Pi^4)/489888 - 
   (18437*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (13*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    504 + (11*Pi^2*H[{3, 1}, 1]^2)/216 + (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (961*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (7757*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (793*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (71*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1793*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (263*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (181*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (252*Sqrt[3]) + (10145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (650903*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (24089*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (403*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (30703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (789*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (23*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (19931*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (793*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (913*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (100*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {6, 1}, 1] -> (8399*Pi^4)/2449440 - 
   (6107*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/27 + 
   (35*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (2357*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (5*Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (2959*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (6127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (129*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (27721*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (1301*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 2*H[{3, 1}, {2, 0}, 1]^2 + 
   (18811*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (5399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (149*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1537079*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (48697*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (16*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2161*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (175783*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (5949*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   6*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (6829*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (2063*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (1237*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (2917*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {2, 0}, {0, 0}, 1] -> (-53*Pi^4)/27216 + 
   (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/28 + (Pi^2*H[{3, 1}, 1]^2)/9 + 
   (269*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (33*H[{3, 0}, {0, 0}, 1]^2)/
    28 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1159*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (941*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3347*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (100*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {6, 1}, {3, 0}, {1, 0}, 1] -> (1037*Pi^4)/272160 + 
   (1901*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/
    972 - (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (923*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    27 - (3859*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (3341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1728*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (29*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5149*H[{3, 0}, {0, 0}, 1]^2)/13440 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (7943*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (93*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 + 
   (67*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (39731*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) + 
   (3011*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2497*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (23327*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (381*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {2, 0}, 1] -> (4771*Pi^4)/612360 + 
   (17*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (209*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (173*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (449*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (1321*H[{3, 0}, {0, 0}, 1]^2)/448 - (125*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (1837*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (83*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (257377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (6079*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13583*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (509*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (23*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (187*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1052*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {3, 0}, 1] -> (961*Pi^4)/153090 + 
   (425*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - 
   (1703*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (2111*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (17*H[{3, 0}, {0, 0}, 1]^2)/2688 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (185*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (756*Sqrt[3]) - (8923*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (14597*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (933*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (409*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (167*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (505*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {3, 1}, 1] -> (-809*Pi^4)/408240 - 
   (1867*Pi^3*H[{2, 0}, 1])/(612360*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (29*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (269*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 + 
   (5711*Pi^2*H[{3, 0}, {0, 0}, 1])/27216 - 
   (991*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (1013*H[{3, 0}, {0, 0}, 1]^2)/3360 + (83*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (23473*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (119*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (46561*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (6451*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {6, 0}, 1] -> (9631*Pi^4)/1224720 + 
   (2897*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (529*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (19*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (533*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (4363*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (3763*H[{3, 0}, {0, 0}, 1]^2)/10080 - (103*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/18 + (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5760*Sqrt[3]) + (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (2405*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) + 
   (1117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (24937*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) + 
   (521*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (193*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (208*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (104*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {6, 1}, 1] -> (6397*Pi^4)/1224720 + 
   (8*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (31*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (14*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (35*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (1865*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (689*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3083*H[{3, 0}, {0, 0}, 1]^2)/4032 + (Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (895*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3024*Sqrt[3]) + (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (21629*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (659*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3024*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5657*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (291*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (23*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (124*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (14*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 0}, {0, 0}, 1] -> (-419*Pi^4)/1224720 + 
   (271*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (983*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (115*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (127*H[{3, 0}, {0, 0}, 1]^2)/1344 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2833*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (991*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (673*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1093*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7349*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/80 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (268*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 1}, {1, 0}, 1] -> (-3739*Pi^4)/816480 - 
   (221*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (13*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/6 + (1901*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (1397*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (2039*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2969*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (55*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (11071*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (2511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (123*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (497*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (731*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1409*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (151*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 1}, {2, 0}, 1] -> (14983*Pi^4)/2449440 + 
   (247*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (191*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (2281*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1387*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (43*H[{3, 0}, {0, 0}, 1]^2)/112 - (193*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (122*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (1597*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (19729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (1681*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5779*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3523*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (88*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 + 
   (86*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 1}, {3, 0}, 1] -> (-6073*Pi^4)/1224720 + 
   (11657*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (47*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (607*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (253*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (2525*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (1517*H[{3, 0}, {0, 0}, 1]^2)/2240 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (425623*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) - (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (3113*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (167*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (19099*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (85*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (13933*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (339*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3751*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (131*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (233*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (397*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 1}, {3, 1}, 1] -> (349*Pi^4)/81648 - 
   (6241*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (47*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) + (55*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (6983*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (6883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1075*H[{3, 0}, {0, 0}, 1]^2)/896 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (1859*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (47*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (146777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (3351*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (14953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (231*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (929*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 1}, {3, 1}, {6, 0}, 1] -> (-9649*Pi^4)/1224720 - 
   (59*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) - (397*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (7421*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5183*H[{3, 0}, {0, 0}, 1]^2)/20160 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (16*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 + (8209*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (551*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (120353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (5819*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (27331*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (17203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (529*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2603*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (412*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (1235*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/35 - 
   (181*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {3, 1}, {6, 1}, 1] -> (-253*Pi^4)/20412 - 
   (311*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 - 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (3503*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (359*H[{3, 0}, {0, 0}, 1]^2)/504 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/18 + (449*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (756*Sqrt[3]) + (1207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (194441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (10483*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8777*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (953*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (719*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (16*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (317*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{3, 1}, {6, 1}, {3, 1}, {0, 0}, 1] -> (-397*Pi^4)/153090 - 
   (515*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1117*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1759*H[{3, 0}, {0, 0}, 1]^2)/1344 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2279*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (2511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (8551*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1891*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) - 
   (731*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3061*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (151*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 0}, {1, 0}, 1] -> (73*Pi^4)/12960 + 
   (191*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (71*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (95*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (53*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (589*H[{3, 0}, {0, 0}, 1]^2)/
    960 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 - 
   (527*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (371*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (99611*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (30497*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (40171*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (4339*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(40*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (451*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 1}, {6, 0}, {2, 0}, 1] -> (7001*Pi^4)/2449440 + 
   (907*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/648 - 
   (67*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (7*Pi^2*H[{3, 1}, 1]^2)/108 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (2*Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (3935*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (2861*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (557*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1451*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (1859*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (15613*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 - 
   (863*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (160799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (4937*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (35*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (29321*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (20003*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (5023*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (257*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 1}, {6, 0}, {3, 0}, 1] -> (317*Pi^4)/136080 - 
   (761*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    168 - (11*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 - (2699*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (11665*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (7843*H[{3, 0}, {0, 0}, 1]^2)/
    8064 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (13*H[{3, 1}, {2, 0}, 1]^2)/36 + (1331*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (24335*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (250583*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (24587*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (201*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (28961*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (3229*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8269*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (507*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (463*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {6, 0}, {3, 1}, 1] -> (419*Pi^4)/87480 + 
   (23*Pi^3*H[{2, 0}, 1])/(5832*Sqrt[3]) - (49*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/18 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (247*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (241*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (119*H[{3, 0}, {0, 0}, 1]^2)/
    576 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (277*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) + (191*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (76301*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (8789*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (21923*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (799*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1619*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 0}, {6, 0}, 1] -> (4159*Pi^4)/2449440 - 
   (533*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (2*Pi^2*H[{3, 1}, 1]^2)/27 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (257*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (409*H[{3, 0}, {0, 0}, 1]^2)/1344 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (1373*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3402*Sqrt[3]) + 
   (47*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (16423*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (387*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (22*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (128669*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (4047*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10907*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (103*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/84 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/42 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{3, 1}, {6, 1}, {6, 0}, {6, 1}, 1] -> (3487*Pi^4)/408240 + 
   (323*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (409*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (11*Pi^2*H[{3, 1}, 1]^2)/108 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2*Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (2549*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7813*H[{3, 0}, {0, 0}, 1]^2)/6720 - (139*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1260 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (7709*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (17010*Sqrt[3]) - (2503*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (113*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1717*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1260*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (46*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (535*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (417*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 0}, {0, 0}, 1] -> (23977*Pi^4)/2449440 + 
   (181*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (25*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (187*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (1991*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (21047*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (31*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (607*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (125*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (2369*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (95*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (43943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (22381*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1373*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (11461*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (968*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (197*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (187*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 1}, {1, 0}, 1] -> (-1489*Pi^4)/272160 - 
   (589*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/210 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (265*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (62*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (911*H[{3, 0}, {0, 0}, 1]^2)/2240 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/210 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (8339*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (25031*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (3169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (367*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (253*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (699*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 1}, {6, 1}, {2, 0}, 1] -> (-4201*Pi^4)/1224720 + 
   (739*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (115*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (781*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (1417*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (1415*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (67*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (8993*H[{3, 0}, {0, 0}, 1]^2)/
    6720 + (991*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + (5*H[{3, 1}, {2, 0}, 1]^2)/6 - 
   (11027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (1769*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (155*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (458261*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (1881*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (35*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6623*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (80989*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (2567*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1856*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (171*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {6, 1}, {6, 1}, {3, 0}, 1] -> (293*Pi^4)/87480 - 
   (89*Pi^3*H[{2, 0}, 1])/(7776*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    648 - (13*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (79*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1728 + (12619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (1421*H[{3, 0}, {0, 0}, 1]^2)/1152 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/36 + (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (1169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (39463*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (5357*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (629*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (101461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (3343*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (61*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {6, 1}, {3, 1}, 1] -> (-8*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    324 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (49*H[{3, 0}, {0, 0}, 1]^2)/288 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (27*Sqrt[3]) + (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 - (77*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    216 - (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 1}, {6, 0}, 1] -> (-151*Pi^4)/69984 - 
   (395*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/648 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    27 + (Pi^2*H[{3, 1}, 1]^2)/72 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (8*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (499*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 + 
   (451*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (19*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (23*H[{3, 0}, {0, 0}, 1]^2)/
    128 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (972*Sqrt[3]) + (679*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (299*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (40*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (853*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {6, 1}, {6, 1}, 1] -> (-17*Pi^4)/612360 - 
   (43*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (401*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (547*H[{3, 0}, {0, 0}, 1]^2)/1344 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (269*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6804*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (29441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (983*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {6, 1}, {6, 1}, {0, 0}, 1] -> (-4357*Pi^4)/2449440 - 
   (373*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (65*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (55*H[{3, 0}, {0, 0}, 1]^2)/112 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) - 
   (85*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (158*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (61*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(90*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (137*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (361*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {0, 0}, {1, 0}, 1] -> (-529*Pi^4)/136080 + 
   (59*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (1495*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (671*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (709*H[{3, 0}, {0, 0}, 1]^2)/448 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (75121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (8669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (5779*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (1111*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {6, 1}, {0, 0}, {2, 0}, 1] -> (97*Pi^4)/51030 - 
   (19*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (281*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (395*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, 1]^2/56 - (65*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (22*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (47*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (2059*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2089*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {6, 1}, {0, 0}, {3, 0}, 1] -> (1363*Pi^4)/1224720 + 
   (277*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (767*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (475*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2119*H[{3, 0}, {0, 0}, 1]^2)/1344 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (635*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (589*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (14323*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (569*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (304*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {0, 0}, {3, 1}, 1] -> (2801*Pi^4)/612360 - 
   (263*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (589*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1033*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (247*H[{3, 0}, {0, 0}, 1]^2)/1344 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (3197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2539*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (22009*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (667*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4741*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {0, 0}, {6, 0}, 1] -> (-4279*Pi^4)/489888 - 
   (235*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (2801*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (165*H[{3, 0}, {0, 0}, 1]^2)/448 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (56131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (4559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (12239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (14023*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (16843*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (640*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {0, 0}, {6, 1}, 1] -> (-458*Pi^4)/76545 + 
   (41*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (169*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (139*H[{3, 0}, {0, 0}, 1]^2)/224 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (449*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (10*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (901*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (7423*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (1481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (137*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {6, 1}, {0, 0}, {0, 0}, 1] -> (-103*Pi^4)/81648 - 
   (115*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/14 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (1061*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {1, 0}, {3, 1}, 1] -> 
  -Pi^4/3645 - (13*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (2*Pi^2*H[{3, 1}, 1]^2)/9 - (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (7*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {1, 0}, {6, 0}, 1] -> (-457*Pi^4)/272160 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (275*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (62*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (3277*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {1, 0}, {6, 1}, 1] -> (13*Pi^4)/102060 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (221*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (515*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (277*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (193*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(480*Sqrt[3]) - 
   (419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (407*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (38*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {2, 0}, {3, 1}, 1] -> (-139*Pi^4)/68040 + 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 0}, {0, 0}, 1])/63 - 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (951*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (6049*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (4877*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1853*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1961*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (687*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {2, 0}, {6, 0}, 1] -> (-2909*Pi^4)/816480 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (505*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (207*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (32131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (937*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (76*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {2, 0}, {6, 1}, 1] -> (871*Pi^4)/816480 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (31*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (Pi^2*H[{3, 1}, 1]^2)/9 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (89*H[{3, 0}, {0, 0}, 1]^2)/
    56 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (365*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (4273*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (1041*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  -Pi^4/1458 - (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 - (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/10 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {0, 0}, {3, 0}, {6, 0}, 1] -> (535*Pi^4)/244944 - 
   (163*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (257*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (236*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (19139*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (2263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (21641*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (65*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {3, 0}, {6, 1}, 1] -> (1289*Pi^4)/244944 - 
   (101*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (27*Sqrt[3]) + (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (121*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (683*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (151*H[{3, 0}, {0, 0}, 1]^2)/448 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (1927*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (44299*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (7611*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (4103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (239*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (487*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {3, 1}, {1, 0}, 1] -> 
  Pi^4/2430 + (11*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (2*Pi^2*H[{3, 1}, 1]^2)/9 + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, 1]^2)/2 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {3, 1}, {2, 0}, 1] -> (241*Pi^4)/102060 + 
   (13*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (541*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (419*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (339*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1853*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1961*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (587*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (1412*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/14 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {3, 1}, {3, 0}, 1] -> (-5*Pi^4)/1458 + 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] - (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (461*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {0, 0}, {3, 1}, {3, 1}, 1] -> 
  Pi^4/405 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    8 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 + (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) + (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {0, 0}, {3, 1}, {6, 0}, 1] -> (751*Pi^4)/349920 + 
   (29*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 + 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (245*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (67399*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (7411*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3917*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (171*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7201*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {3, 1}, {6, 1}, 1] -> (-2647*Pi^4)/612360 - 
   (17*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (575*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (695*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (347*H[{3, 0}, {0, 0}, 1]^2)/448 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (3895*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (157*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (281*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (789*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4253*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2491*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) - 
   (431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4621*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (295*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (277*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (95*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {3, 1}, {0, 0}, 1] -> (-13*Pi^4)/29160 + 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (8*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1], H[{3, 1}, {0, 0}, {6, 0}, {1, 0}, 1] -> 
  (-29*Pi^4)/22680 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (1243*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (3049*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (401*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {6, 0}, {2, 0}, 1] -> (107*Pi^4)/20412 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (173*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (195*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (115*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (3697*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (633*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (369*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {6, 0}, {3, 0}, 1] -> (-257*Pi^4)/122472 + 
   (163*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/
    168 + (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (29011*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (8137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5849*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {6, 0}, {3, 1}, 1] -> (-781*Pi^4)/349920 - 
   (29*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - 
   (263*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (20243*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) + 
   (2327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3841*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (8*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {6, 0}, {6, 0}, 1] -> 
  -Pi^4/486 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/64 - (607*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {0, 0}, {6, 0}, {6, 1}, 1] -> 
  (829*Pi^4)/136080 + (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - 
   (53*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (1495*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (151*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (681*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (7361*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (16309*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (1951*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (197*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {0, 0}, {6, 0}, {0, 0}, 1] -> (37*Pi^4)/20412 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (10*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (317*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (125*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-1313*Pi^4)/816480 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 - (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (149*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) - 
   (235*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (134*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (129*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (83*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (26*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {6, 1}, {2, 0}, 1] -> (-6079*Pi^4)/816480 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (25*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi^2*H[{3, 1}, 1]^2)/9 + (8*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, 1]^2)/7 + 
   (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (126*Sqrt[3]) + (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (65287*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (8143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (431*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (849*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {6, 1}, {3, 0}, 1] -> (383*Pi^4)/489888 + 
   (101*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (37*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (565*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (683*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (193*H[{3, 0}, {0, 0}, 1]^2)/448 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (34319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (4091*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3187*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (709*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (487*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {6, 1}, {3, 1}, 1] -> (-2801*Pi^4)/612360 - 
   (73*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (25*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (20*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (131*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (1145*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (213*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (3197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2539*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (22009*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (667*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4741*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{3, 1}, {0, 0}, {6, 1}, {6, 0}, 1] -> (-23*Pi^4)/163296 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (1543*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (92*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (173*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (8671*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (7083*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5137*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {6, 1}, {6, 1}, 1] -> 
  Pi^4/405 - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (31*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6, 
 H[{3, 1}, {0, 0}, {6, 1}, {0, 0}, 1] -> (-5239*Pi^4)/816480 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (47*H[{3, 0}, {0, 0}, 1]^2)/56 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/648 - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9, 
 H[{3, 1}, {0, 0}, {0, 0}, {6, 0}, 1] -> (-281*Pi^4)/81648 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (55*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {0, 0}, {6, 1}, 1] -> (517*Pi^4)/408240 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (85*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (635*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (1549*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{6, 0}, {1, 0}, {1, 0}, {6, 0}, 1] -> 
  Pi^4/81 - (9*H[{3, 0}, {0, 0}, 1]^2)/8 - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    Sqrt[3] + (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]), 
 H[{6, 0}, {1, 0}, {1, 0}, {6, 1}, 1] -> 
  Pi^4/162 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (9*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {2, 0}, {6, 0}, 1] -> (-4547*Pi^4)/204120 - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 - (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (81*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (1963*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (88*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (5023*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (301*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(60*Sqrt[3]) + 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {1, 0}, {2, 0}, {6, 1}, 1] -> (-4547*Pi^4)/408240 + 
   (1069*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) - (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(16*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (1033*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (643*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (67*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (165*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (17333*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (12511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (211*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (167*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - 3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {1, 0}, {3, 0}, {6, 0}, 1] -> (41*Pi^4)/8748 - 
   (29*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/4 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/96 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {3, 0}, {6, 1}, 1] -> (-40793*Pi^4)/2449440 - 
   (185*Pi^3*H[{2, 0}, 1])/(3024*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (235*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (2711*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (353*H[{3, 0}, {0, 0}, 1]^2)/336 + (71*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (4505*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (2963*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (991*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2441*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (106*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {3, 1}, {6, 0}, 1] -> (-33361*Pi^4)/2449440 + 
   (541*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    630 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (803*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (2045*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2399*H[{3, 0}, {0, 0}, 1]^2)/1680 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1528*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (56323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (30361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (536*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (58*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (769*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (93*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {3, 1}, {6, 1}, 1] -> (4477*Pi^4)/612360 + 
   (613*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (68*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (643*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (2003*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (4199*H[{3, 0}, {0, 0}, 1]^2)/3360 - (68*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (42851*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) + (3*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (799*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (98197*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (7513*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (17309*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (39661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (97*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (262*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (299*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   4*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - (13*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (136*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {6, 0}, {1, 0}, 1] -> (-17*Pi^4)/2916 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 2*H[{3, 0}, {0, 0}, 1]^2 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {6, 0}, {2, 0}, 1] -> (2797*Pi^4)/204120 + 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (347*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (871*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) + 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {1, 0}, {6, 0}, {3, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (427*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {6, 0}, {3, 1}, 1] -> (3677*Pi^4)/816480 + 
   (617*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (733*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (2141*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1193*H[{3, 0}, {0, 0}, 1]^2)/3360 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/140 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2651*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (65369*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (8257*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (58*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (489*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (93*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {6, 0}, {6, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{6, 0}, {1, 0}, {6, 0}, {6, 1}, 1] -> (-323*Pi^4)/25515 - 
   (64*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (128*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (64*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (149*H[{3, 0}, {0, 0}, 1]^2)/140 + (128*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (1963*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) + 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (194*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (256*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {1, 0}, {6, 1}, {1, 0}, 1] -> (-17*Pi^4)/5832 + 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + H[{3, 0}, {0, 0}, 1]^2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {1, 0}, {6, 1}, {2, 0}, 1] -> 
  (3217*Pi^4)/408240 - (95*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (583*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (209*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (437*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (417*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (77*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (767*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (547*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (1327*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {1, 0}, {6, 1}, {3, 0}, 1] -> (7391*Pi^4)/816480 + 
   (107*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (547*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1945*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (545*H[{3, 0}, {0, 0}, 1]^2)/672 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (3931*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (2963*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (146459*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (15451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (9997*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (471*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (6443*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (183*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (418*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (82*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (145*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {6, 1}, {3, 1}, 1] -> (-899*Pi^4)/272160 - 
   (379*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/630 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (431*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (815*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (451*H[{3, 0}, {0, 0}, 1]^2)/3360 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/420 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5671*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(20160*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (1235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (52289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1417*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (9259*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (108*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (86*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {6, 1}, {6, 0}, 1] -> (557*Pi^4)/102060 + 
   (64*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + 
   (128*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (20*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (64*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (123*H[{3, 0}, {0, 0}, 1]^2)/280 - (128*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (7709*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1261*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (41*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (302*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (96*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (256*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-7*Pi^4)/1944 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {1, 0}, {6, 1}, {0, 0}, 1] -> 
  (19*Pi^4)/5832 + (205*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {1, 0}, {0, 0}, {6, 0}, 1] -> 
  (-11*Pi^4)/972 + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (136*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {0, 0}, {6, 1}, 1] -> (-11*Pi^4)/1944 - 
   (65*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (49*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (69*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {2, 0}, {1, 0}, {6, 0}, 1] -> 
  (3707*Pi^4)/204120 + (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 + (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (1963*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (88*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (301*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(60*Sqrt[3]) - 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {2, 0}, {1, 0}, {6, 1}, 1] -> (3287*Pi^4)/408240 - 
   (173*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) + (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (655*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (195*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (71*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/448 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (257*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (71599*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (9711*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (2333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (711*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (109*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {2, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/972 - H[{3, 0}, {0, 0}, 1]^2/32 + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (3*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]), 
 H[{6, 0}, {2, 0}, {2, 0}, {6, 1}, 1] -> (29*Pi^4)/34992 + 
   (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, 1]^2/64 - 
   (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 0}, {2, 0}, {3, 0}, {6, 0}, 1] -> (-421*Pi^4)/204120 + 
   (503*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (157*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (359*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (473*H[{3, 0}, {0, 0}, 1]^2)/672 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1843*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (80*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (71*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {3, 0}, {6, 1}, 1] -> (1031*Pi^4)/816480 + 
   (5729*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    105 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (407*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (215*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (2153*H[{3, 0}, {0, 0}, 1]^2)/3360 - (109*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (4937*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (12773*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (1639*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2791*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4633*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (482*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (286*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {3, 1}, {6, 0}, 1] -> (4831*Pi^4)/816480 - 
   (685*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (235*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (253*H[{3, 0}, {0, 0}, 1]^2)/672 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (265*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (1975*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (359963*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (15969*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4309*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (44911*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (5079*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (20123*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (769*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (94*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {3, 1}, {6, 1}, 1] -> (-43*Pi^4)/51030 - 
   (5617*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    630 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1135*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (871*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (92*H[{3, 0}, {0, 0}, 1]^2)/105 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/630 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (262*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) - (1139*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (137353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (737*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2881*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (271*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (370*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (149*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {6, 0}, {2, 0}, 1] -> (-19*Pi^4)/2916 + 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (4693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (30419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 0}, {3, 0}, 1] -> (-977*Pi^4)/612360 + 
   (169*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (205*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 - 
   (191*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (403*H[{3, 0}, {0, 0}, 1]^2)/672 + (Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (557*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (29*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(126*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {6, 0}, {3, 1}, 1] -> (727*Pi^4)/2449440 - 
   (467*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2407*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (15*H[{3, 0}, {0, 0}, 1]^2)/
    56 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (935*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (23341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (383*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (4337*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (133709*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (4567*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (18443*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (146*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {6, 0}, {6, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 0}, {2, 0}, {6, 0}, {6, 1}, 1] -> (-703*Pi^4)/408240 + 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/140 - (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (544*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (493*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (24*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {2, 0}, {6, 1}, {1, 0}, 1] -> (-7*Pi^4)/2916 - 
   (4*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (221*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (323*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (39*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (203*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (2623*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (949*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (31*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/56 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 1}, {2, 0}, 1] -> (-121*Pi^4)/34992 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (1243*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (11*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (1189*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (10080*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (23419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 1}, {3, 0}, 1] -> (-3103*Pi^4)/2449440 + 
   (83*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (299*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (1231*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (1537*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (335*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (35*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1111*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (95*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (1439*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (3947*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (15817*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (9139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2981*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (22693*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) - 
   (859*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (125*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (800*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (125*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {6, 1}, {3, 1}, 1] -> (2347*Pi^4)/489888 + 
   (7349*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + (533*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 - (Pi^2*H[{3, 1}, 1]^2)/72 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (9379*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (8149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (793*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (71*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (5771*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (97*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (126*Sqrt[3]) - (10145*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (243101*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (24089*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (11611*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (403*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (30703*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (789*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (19931*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (793*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (913*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (100*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {6, 1}, {6, 0}, 1] -> (1903*Pi^4)/408240 + 
   (8*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (173*H[{3, 0}, {0, 0}, 1]^2)/280 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (8899*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (1543*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (337*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (96*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {2, 0}, {6, 1}, {6, 1}, 1] -> (311*Pi^4)/244944 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (55*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (39*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {2, 0}, {6, 1}, {0, 0}, 1] -> (-19*Pi^4)/2916 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {0, 0}, {6, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (29*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {0, 0}, {6, 1}, 1] -> 
  -Pi^4/2916 - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (29*H[{3, 0}, {0, 0}, 1]^2)/32 - (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {3, 0}, {1, 0}, {6, 0}, 1] -> 
  (-35*Pi^4)/8748 + (29*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/162 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/96 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (53*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {1, 0}, {6, 1}, 1] -> (13253*Pi^4)/2449440 + 
   (1979*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (3239*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (145*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (127*H[{3, 0}, {0, 0}, 1]^2)/420 + (269*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (2407*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (14719*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (38221*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (2383*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {2, 0}, {6, 0}, 1] -> (701*Pi^4)/204120 - 
   (167*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (486*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/Sqrt[3] + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (153*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1675*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (29*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (28*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {2, 0}, {6, 1}, 1] -> (10439*Pi^4)/816480 + 
   (55001*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 - (5*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (191*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (1307*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (31859*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1727*H[{3, 0}, {0, 0}, 1]^2)/672 - (491*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (412051*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(181440*Sqrt[3]) - 
   (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (9907*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (31909*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (4801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (12661*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (1349*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (86267*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (9763*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (31847*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (981*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (958*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (10*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (130*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 0}, {6, 0}, 1] -> (-23*Pi^4)/17496 + 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, 1]^2/288 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]), 
 H[{6, 0}, {3, 0}, {3, 0}, {6, 1}, 1] -> (-95*Pi^4)/34992 - 
   (Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) - (55*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - (19*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (67*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) - (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   H[{3, 0}, {0, 0}, 1]^2/576 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (37*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/9 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {3, 1}, {6, 0}, 1] -> (-2011*Pi^4)/612360 + 
   (1219*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (37*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (767*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (505*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (635*H[{3, 0}, {0, 0}, 1]^2)/4032 - (Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (10*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (215*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) + (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (11819*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 1}, {6, 1}, 1] -> (-18497*Pi^4)/2449440 + 
   (6449*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (67*Pi^2*H[{2, 0}, 1]^2)/
    1944 - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (25*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (1075*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (4019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (17*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (23*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (6481*H[{3, 0}, {0, 0}, 1]^2)/10080 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/420 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (147061*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (362880*Sqrt[3]) + (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 + 
   (5839*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (36283*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (8609*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1087*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (28963*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1209*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (328*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (598*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (269*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {6, 0}, {3, 0}, 1] -> (14237*Pi^4)/612360 + 
   (53*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (106*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (2087*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (4853*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (1931*H[{3, 0}, {0, 0}, 1]^2)/672 - (22*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 + (1343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) - (1432*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (2377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2016*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (7877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (44*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (652*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (22*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (22*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (254*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (16*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (56*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {3, 0}, {6, 0}, {3, 1}, 1] -> (-2249*Pi^4)/306180 - 
   (467*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (55*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (16*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + 
   (2551*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (3029*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 - 
   (869*H[{3, 0}, {0, 0}, 1]^2)/1344 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (8*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, 1]^2/9 - (1157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (593*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (143839*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (5997*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (32*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (53*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (577*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   (43*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (76*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 0}, {6, 0}, 1] -> (1703*Pi^4)/306180 - 
   (38*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (257*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - (1979*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (303*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (257*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2057*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (163*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 0}, {6, 1}, 1] -> (1949*Pi^4)/408240 - 
   (377*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (1147*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (563*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (1537*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (95*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (29*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5519*H[{3, 0}, {0, 0}, 1]^2)/6720 + (307*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (10*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2263*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (186071*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (83*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (9847*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (551*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] + (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 1}, {1, 0}, 1] -> (9911*Pi^4)/816480 - 
   (29*Pi^3*H[{2, 0}, 1])/(2520*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (649*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (383*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (1667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7241*H[{3, 0}, {0, 0}, 1]^2)/6720 - (649*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (23*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2189*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (3977*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (2007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (4981*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (1181*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (291*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (237*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 1}, {2, 0}, 1] -> (-36047*Pi^4)/2449440 - 
   (8047*Pi^3*H[{2, 0}, 1])/(38880*Sqrt[3]) + (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    1120 + (17*Pi^2*H[{2, 0}, 1]^2)/324 - (5*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (73*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/210 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (9299*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (1639*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (8713*H[{3, 0}, {0, 0}, 1]^2)/3360 + (859*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (65477*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (25920*Sqrt[3]) + (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (18185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (131689*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (15867*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (112607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (4621*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (17729*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1040*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (38*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (886*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, {3, 0}, 1] -> (4171*Pi^4)/306180 + 
   (421*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (19*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (515*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (1759*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (2425*H[{3, 0}, {0, 0}, 1]^2)/1344 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (83*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (54367*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (25*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, {3, 1}, 1] -> (-3821*Pi^4)/1224720 - 
   (2897*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (17*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2837*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (9617*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (1091*H[{3, 0}, {0, 0}, 1]^2)/3360 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (16171*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (51840*Sqrt[3]) - (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 + 
   (2405*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) - 
   (1117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (33337*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) - 
   (521*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (733*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (193*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1741*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (167*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (208*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (104*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, {6, 0}, 1] -> (53*Pi^4)/19440 - 
   (13*Pi^3*H[{2, 0}, 1])/(360*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 - 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    Sqrt[3] + (145*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (379*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(192*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/64 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (41*H[{3, 0}, {0, 0}, 1]^2)/320 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (823*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) - 
   (137*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 + 
   (33119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (6093*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2749*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) - 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (35*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (49*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, {6, 1}, 1] -> (941*Pi^4)/244944 - 
   (103*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1260 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (103*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (557*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2329*H[{3, 0}, {0, 0}, 1]^2)/6720 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (1489*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (113671*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (4653*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (27541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (423*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (571*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (119*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (333*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (263*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (473*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {6, 1}, {0, 0}, 1] -> (653*Pi^4)/81648 - 
   (37*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + (815*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (549*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (1607*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (29*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (95*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {0, 0}, {6, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (127*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/28 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (1051*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {0, 0}, {6, 1}, 1] -> (-1045*Pi^4)/244944 + 
   (139*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (125*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (71*H[{3, 0}, {0, 0}, 1]^2)/448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (1441*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (16843*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (271*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {1, 0}, {6, 0}, 1] -> (32101*Pi^4)/2449440 - 
   (1343*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (559*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (1849*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (229*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (3449*H[{3, 0}, {0, 0}, 1]^2)/1680 - (593*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (9599*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (400507*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2969*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (7697*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (58*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (769*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (93*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {1, 0}, {6, 1}, 1] -> (-1087*Pi^4)/612360 - 
   (1091*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1739*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (655*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (161*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5981*H[{3, 0}, {0, 0}, 1]^2)/3360 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (35993*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(90720*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (689*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (142013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (2739*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (989*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (473*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (22303*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (32*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (245*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (551*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {2, 0}, {6, 0}, 1] -> (-2917*Pi^4)/272160 - 
   (155*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (419*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (61*H[{3, 0}, {0, 0}, 1]^2)/224 + (179*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1512*Sqrt[3]) + (1975*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (90121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (15969*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2183*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (47711*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (5079*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (18443*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (769*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (94*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {2, 0}, {6, 1}, 1] -> (-119*Pi^4)/12960 - 
   (199*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    162 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/
    216 + (18373*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (793*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (271*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (41*H[{3, 0}, {0, 0}, 1]^2)/48 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (185*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (755*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (4243*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (7481*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (26329*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (3081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19171*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (793*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {3, 0}, {6, 0}, 1] -> (352*Pi^4)/76545 - 
   (1513*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (197*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (775*H[{3, 0}, {0, 0}, 1]^2)/4032 + (44*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (29*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (1235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {3, 0}, {6, 1}, 1] -> (10799*Pi^4)/1224720 - 
   (4811*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (73*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (727*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (13*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (26989*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/64 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (30553*H[{3, 0}, {0, 0}, 1]^2)/20160 - (208*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (29*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/18 - (2869*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (7855*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (69901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (21109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4153*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (45893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1919*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (605*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (766*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (416*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {3, 1}, {6, 0}, 1] -> 
  Pi^4/69984 + (5*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]^2)/486 + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/288 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(18*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]), 
 H[{6, 0}, {3, 1}, {3, 1}, {6, 1}, 1] -> (2833*Pi^4)/2449440 - 
   (23*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) - (47*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (1909*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (517*H[{3, 0}, {0, 0}, 1]^2)/20160 - (97*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   H[{3, 1}, {2, 0}, 1]^2/18 - (1567*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (5759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (781*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4049*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3293*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {6, 0}, {3, 1}, 1] -> (1279*Pi^4)/349920 + 
   (167*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 + (11*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (821*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 + 
   (503*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (953*H[{3, 0}, {0, 0}, 1]^2)/960 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (401*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) - (725*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (53767*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) + 
   (2101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(135*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (20827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (841*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (541*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (76*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (479*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/60 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (32*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 0}, {6, 0}, 1] -> (-653*Pi^4)/612360 + 
   (887*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (257*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (1445*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (101*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (303*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (257*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2189*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (163*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (101*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {6, 0}, {6, 1}, 1] -> (-1523*Pi^4)/816480 + 
   (3053*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (667*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (8*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (307*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (1213*H[{3, 0}, {0, 0}, 1]^2)/6720 - (809*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (107*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1769*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (29143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (521*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1507*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {6, 1}, {1, 0}, 1] -> (-887*Pi^4)/90720 + 
   (83*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (377*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (1025*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (431*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (227*H[{3, 0}, {0, 0}, 1]^2)/1680 + (377*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (75239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) - (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (11723*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (771*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1343*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (38*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (961*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (164*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (571*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (167*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (237*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {6, 1}, {2, 0}, 1] -> (457*Pi^4)/87480 + 
   (14*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    36 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (179*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (29129*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (1251*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (217*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (221*H[{3, 0}, {0, 0}, 1]^2)/192 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (793*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (227*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (61711*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (1793*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (6707*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (5359*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 1}, {3, 0}, 1] -> (-8843*Pi^4)/816480 - 
   (74*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (1531*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (11*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (863*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (81653*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (421*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (3607*H[{3, 0}, {0, 0}, 1]^2)/1680 + (1111*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (6229*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (362880*Sqrt[3]) - (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 + 
   (937*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (276431*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (13093*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4961*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6048*Sqrt[3]) - 
   (549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (751*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (9013*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1238*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (10*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (211*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (818*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 1}, {3, 1}, 1] -> (341*Pi^4)/136080 + 
   (317*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/972 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (5755*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (697*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (3361*H[{3, 0}, {0, 0}, 1]^2)/6720 + (163*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (14299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (551*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (142753*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (5819*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (25651*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (529*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2603*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (412*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (1235*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/35 + 
   (181*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 1}, {6, 0}, 1] -> (-2269*Pi^4)/816480 + 
   (127*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (334*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (751*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (2071*H[{3, 0}, {0, 0}, 1]^2)/2240 + (811*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (389*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (5489*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (53*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) - 
   (331*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2443*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(800*Sqrt[3]) + 
   (4447*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (727*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (283*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (388*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {6, 1}, {6, 1}, 1] -> (-311*Pi^4)/122472 + 
   (443*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (Pi*H[{2, 0}, 1]^3)/
    (54*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (421*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (3713*H[{3, 0}, {0, 0}, 1]^2)/6720 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/420 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (1126*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (775*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2520*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (209*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(315*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (421*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (151*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (421*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {6, 1}, {0, 0}, 1] -> (-137*Pi^4)/14580 + 
   (29*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (35*Pi^2*H[{3, 0}, {0, 0}, 1])/
    144 - (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/64 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/108 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - 3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {0, 0}, {6, 0}, 1] -> (-121*Pi^4)/174960 - 
   (31*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (59*H[{3, 0}, {0, 0}, 1]^2)/64 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 + 
   (74419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (8891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (611*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (47387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {0, 0}, {6, 1}, 1] -> (211*Pi^4)/76545 - 
   (305*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (247*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (491*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (635*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (199*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (57863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (6007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (1811*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (29389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (607*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (508*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {1, 0}, {6, 0}, 1] -> (-2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{6, 0}, {6, 0}, {1, 0}, {6, 1}, 1] -> (7*Pi^4)/1944 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/9 - (5*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {2, 0}, {6, 0}, 1] -> 
  (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) + (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 0}, {6, 0}, {2, 0}, {6, 1}, 1] -> (-67*Pi^4)/40824 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/42 - (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (131*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (2393*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (1389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (1957*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-2053*Pi^4)/306180 - 
   (172*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (583*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (1643*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (303*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (583*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2057*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (583*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (23*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 0}, {6, 1}, 1] -> (-5713*Pi^4)/1224720 + 
   (2257*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (473*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (233*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2329*H[{3, 0}, {0, 0}, 1]^2)/6720 + (473*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(945*Sqrt[3]) + 
   (1615*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (114871*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (21541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (949*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (333*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (263*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (473*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 1}, {6, 0}, 1] -> (1213*Pi^4)/612360 - 
   (467*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (25*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (583*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (941*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (303*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (583*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (997*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (23*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (101*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {3, 1}, {6, 1}, 1] -> (583*Pi^4)/153090 - 
   (1679*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (421*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (367*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (533*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3713*H[{3, 0}, {0, 0}, 1]^2)/6720 - (421*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (1613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (1093*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (341*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (421*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (491*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (421*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {6, 0}, {6, 0}, 1] -> (2*Pi^4)/2187, 
 H[{6, 0}, {6, 0}, {6, 0}, {6, 1}, 1] -> 
  Pi^4/729 + (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {6, 1}, {1, 0}, 1] -> (227*Pi^4)/34020 + 
   (32*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + 
   (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (10*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/70 - (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (2041*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (431*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 + 
   (256*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {6, 0}, {6, 1}, {2, 0}, 1] -> (113*Pi^4)/43740 + 
   (Pi^3*H[{2, 0}, 1])/(405*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 + (Pi^2*H[{3, 1}, 1]^2)/27 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (21*Sqrt[3]) - (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/160 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (74*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(405*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (1297*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5, 
 H[{6, 0}, {6, 0}, {6, 1}, {3, 0}, 1] -> (2341*Pi^4)/612360 - 
   (1063*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (23*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 - 
   (269*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(448*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (47*H[{3, 0}, {0, 0}, 1]^2)/6720 - (101*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (27071*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(63*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (277*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (223*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 0}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-1079*Pi^4)/2449440 + 
   (187*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (85*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (257*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (409*H[{3, 0}, {0, 0}, 1]^2)/1344 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (2599*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6804*Sqrt[3]) - 
   (47*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (10823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (387*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (22*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (100669*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (4047*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10907*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (103*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/84 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/42 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 0}, {6, 0}, {6, 1}, {6, 0}, 1] -> 
  Pi^4/2187 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 0}, {6, 1}, {6, 1}, 1] -> (179*Pi^4)/51030 + 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) + (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi^2*H[{3, 1}, 1]^2)/27 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (6*H[{3, 0}, {0, 0}, 1]^2)/35 - (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (344*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (32*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (64*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (128*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/3 + 
   (24*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {6, 0}, {6, 1}, {0, 0}, 1] -> (19*Pi^4)/5832 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (184*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(175*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (178*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {0, 0}, {6, 0}, 1] -> 
  -(Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{6, 0}, {6, 0}, {0, 0}, {6, 1}, 1] -> 
  -Pi^4/1944 - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + (3*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 1}, {1, 0}, {1, 0}, 1] -> 
  (3917*Pi^4)/408240 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (325*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {1, 0}, {2, 0}, 1] -> (373*Pi^4)/45360 + 
   (101*Pi^3*H[{2, 0}, 1])/(6048*Sqrt[3]) + (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/126 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (235*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (73*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (1999*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1344*Sqrt[3]) + 
   (255*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (743*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (110*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + 2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {1, 0}, {3, 0}, 1] -> (5869*Pi^4)/349920 + 
   (1033*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (19*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (473*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (6859*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1793*H[{3, 0}, {0, 0}, 1]^2)/
    960 - (191*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 + (5251*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) - (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (119951*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (1567*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4033*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (333*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (52417*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (1931*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2176*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (178*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {1, 0}, {3, 1}, 1] -> (-707*Pi^4)/349920 - 
   (1753*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (121*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (49*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (509*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (23*H[{3, 0}, {0, 0}, 1]^2)/
    20 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (1919*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (18331*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (1423*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4913*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (6269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) - 
   (96*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (562*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (171*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {1, 0}, {6, 0}, 1] -> (211*Pi^4)/34020 - 
   (64*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (128*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (64*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (297*H[{3, 0}, {0, 0}, 1]^2)/280 + (128*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/140 + 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (4133*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (37*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (96*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (256*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {6, 1}, {1, 0}, {6, 1}, 1] -> (4063*Pi^4)/408240 - 
   (43*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - (151*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (8*H[{3, 0}, {0, 0}, 1]^2)/35 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (4163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (244*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {1, 0}, {0, 0}, 1] -> (1189*Pi^4)/68040 + 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (31*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (184*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {2, 0}, {1, 0}, 1] -> (-1451*Pi^4)/204120 + 
   (593*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) - (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (17*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (1187*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (85*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (1367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (73*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (102439*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (19871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (349*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {2, 0}, {2, 0}, 1] -> (127*Pi^4)/69984 - 
   (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (5*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/108 - (9167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (60480*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (4871*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 0}, {6, 1}, {2, 0}, {3, 0}, 1] -> (-956*Pi^4)/76545 - 
   (15487*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (2167*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (205*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (1265*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (773*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (3583*H[{3, 0}, {0, 0}, 1]^2)/
    3360 + (1187*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (17321*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (5825*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (124147*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (10453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (46471*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (14291*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (643*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (290*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (297*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {2, 0}, {3, 1}, 1] -> (17537*Pi^4)/2449440 + 
   (12067*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (11*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (2437*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (631*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (4133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (761*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (815*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (4327*H[{3, 0}, {0, 0}, 1]^2)/
    4480 - (151*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (47*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (2509*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 - 
   (4909*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (40829*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1369*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (6871*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (3067*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1984*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (198*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (71*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (37*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (171*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 0}, {6, 1}, {2, 0}, {6, 0}, 1] -> 
  (-643*Pi^4)/408240 - (8*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) - 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 + (Pi^2*H[{3, 0}, {0, 0}, 1])/84 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/280 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (1271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (4133*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (178*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (1543*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (337*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (96*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-1493*Pi^4)/489888 - 
   (29*Pi^3*H[{2, 0}, 1])/(2520*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (691*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (223*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/420 + 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (419*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1663*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (379*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (261*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {2, 0}, {0, 0}, 1] -> (53*Pi^4)/11664 + 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (5*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 1}, {3, 0}, {1, 0}, 1] -> 
  (-7147*Pi^4)/349920 - (1601*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]^2)/648 + (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (197*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 + (173*Pi^2*H[{3, 0}, {0, 0}, 1])/576 - 
   (2719*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (227*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (1303*H[{3, 0}, {0, 0}, 1]^2)/
    1920 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/270 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (6563*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (1715*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 + 
   (23*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1297691*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (32673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (629*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (77249*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1067*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1541*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (1467*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {3, 0}, {2, 0}, 1] -> (2621*Pi^4)/122472 + 
   (1439*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/24 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (772*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - (251*Pi^2*H[{3, 0}, {0, 0}, 1])/567 + 
   (583*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (251*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7187*H[{3, 0}, {0, 0}, 1]^2)/3360 - (809*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (10447*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (5449*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (737089*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (48387*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (38053*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (201*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2189*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (5296*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1481*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (171*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (1054*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {3, 0}, {3, 0}, 1] -> (-1271*Pi^4)/204120 - 
   (295*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (907*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (2683*H[{3, 0}, {0, 0}, 1]^2)/4032 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (391*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (358*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (51367*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (143*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (235*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {6, 1}, {3, 0}, {3, 1}, 1] -> (365*Pi^4)/54432 + 
   (125*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (61*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/504 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (19*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 + (1231*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 - 
   (32587*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (369*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (5339*H[{3, 0}, {0, 0}, 1]^2)/
    8064 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (17*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 - (4651*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 + 
   (11443*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (119*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (8341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3780*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (46393*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (5177*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (3439*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (164*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (11*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {3, 0}, {6, 0}, 1] -> (-877*Pi^4)/174960 + 
   (217*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/180 + 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (59*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (137*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(64*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/64 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (203*H[{3, 0}, {0, 0}, 1]^2)/960 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1363*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) + 
   (137*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 - 
   (34729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2939*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (19141*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (35*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (49*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {3, 0}, {6, 1}, 1] -> (-2789*Pi^4)/272160 + 
   (6479*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]^3)/
    (27*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (227*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (307*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (85*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2981*H[{3, 0}, {0, 0}, 1]^2)/6720 + (1013*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (1459*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (99317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (14453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (401*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (6847*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (503*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (104*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (221*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (209*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 0}, {6, 1}, {3, 0}, {0, 0}, 1] -> 
  (2341*Pi^4)/1224720 + (379*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (107*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (9707*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (309*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (435*H[{3, 0}, {0, 0}, 1]^2)/448 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (372257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (46673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (16169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (527*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (32869*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (22909*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (139*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {3, 1}, {1, 0}, 1] -> (26837*Pi^4)/2449440 + 
   (4589*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (251*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (1819*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2861*H[{3, 0}, {0, 0}, 1]^2)/2240 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/420 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (233809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (433*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (436117*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (8311*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (2743*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (75763*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (2249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (655*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (123*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (296*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (397*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (191*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {3, 1}, {2, 0}, 1] -> (-22271*Pi^4)/2449440 - 
   (359*Pi^3*H[{2, 0}, 1])/(17010*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (1331*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 - 
   (25135*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (493*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (317*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (10643*H[{3, 0}, {0, 0}, 1]^2)/6720 + (403*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (1826*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (3629*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (11749*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) - 
   (7689*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (10361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (72481*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (4083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11477*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (799*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (949*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (157*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (209*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (1261*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {3, 1}, {3, 0}, 1] -> (-3077*Pi^4)/2449440 + 
   (4139*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]^2)/
    1944 - (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (737*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (6913*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (8821*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (25429*H[{3, 0}, {0, 0}, 1]^2)/
    20160 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/630 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (30491*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (362880*Sqrt[3]) + (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 - 
   (10147*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (584303*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (19437*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (9109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (476449*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (17707*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (479*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (1381*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (31*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (1199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (1091*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (1441*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (14*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {6, 1}, {3, 1}, {3, 1}, 1] -> (2797*Pi^4)/2449440 - 
   (7421*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (124*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (1331*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (2311*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (509*H[{3, 0}, {0, 0}, 1]^2)/20160 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (1151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (7001*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (315053*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (11759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (41011*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30240*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (29443*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1069*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2111*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (136*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (1619*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (197*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {3, 1}, {6, 0}, 1] -> (22207*Pi^4)/2449440 - 
   (1501*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (88*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (157*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (493*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3413*H[{3, 0}, {0, 0}, 1]^2)/6720 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (617*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) - 
   (5489*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (16*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(225*Sqrt[3]) + 
   (331*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (20387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (4447*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (727*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (283*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (388*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {3, 1}, {6, 1}, 1] -> (173*Pi^4)/17010 - 
   (2713*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (901*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (44*Pi^2*H[{3, 0}, {0, 0}, 1])/567 + 
   (4283*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (739*H[{3, 0}, {0, 0}, 1]^2)/3360 - (901*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (3497*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (1753*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (59*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (16*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(35*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (107*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (277*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {3, 1}, {0, 0}, 1] -> (13997*Pi^4)/2449440 + 
   (283*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (4*Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (163*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(576*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 - (20*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (2797*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (1283*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1303*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (3167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2803*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (37*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (12893*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (359*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (88*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {6, 0}, {1, 0}, 1] -> (-23*Pi^4)/2916 + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (11*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] - 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {6, 0}, {2, 0}, 1] -> (3161*Pi^4)/1224720 + 
   (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/112 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (197*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (26*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (7127*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (703*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (349*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {6, 1}, {6, 0}, {3, 0}, 1] -> (251*Pi^4)/244944 + 
   (1681*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (491*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (269*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (2221*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (95*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1327*H[{3, 0}, {0, 0}, 1]^2)/6720 - (491*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (43999*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) - 
   (101*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (152471*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (5133*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (563*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (22261*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (635*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {6, 0}, {3, 1}, 1] -> (-16969*Pi^4)/2449440 - 
   (1957*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (533*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/21 - 
   (979*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (2501*H[{3, 0}, {0, 0}, 1]^2)/2240 + (751*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8505*Sqrt[3]) + 
   (6053*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (14519*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (86629*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (521*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (7241*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (311*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (193*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {6, 0}, {6, 0}, 1] -> 
  Pi^4/2187 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {6, 0}, {6, 1}, 1] -> (-109*Pi^4)/25515 - 
   (32*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (31*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/70 + (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (688*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (242*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (128*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (256*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (48*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 0}, {6, 1}, {6, 0}, {0, 0}, 1] -> 
  Pi^4/2916 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (3*H[{3, 0}, {0, 0}, 1]^2)/
    8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] - 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {6, 1}, {1, 0}, 1] -> (-2*Pi^4)/729 - 
   (Pi^3*H[{2, 0}, 1])/(540*Sqrt[3]) + (17*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/90 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (49*H[{3, 0}, {0, 0}, 1]^2)/
    160 + (Pi^2*H[{3, 1}, {2, 0}, 1])/90 + 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (3379*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (677*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (21*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {6, 1}, {2, 0}, 1] -> (145*Pi^4)/61236 + 
   (17*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) + (31*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi^2*H[{3, 1}, 1]^2)/27 + (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + 
   (199*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (27*H[{3, 0}, {0, 0}, 1]^2)/
    280 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (3971*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (12169*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (589*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (913*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 0}, {6, 1}, {6, 1}, {3, 0}, 1] -> (121*Pi^4)/81648 - 
   (131*Pi^3*H[{2, 0}, 1])/(5103*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (1021*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (743*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (85*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (661*H[{3, 0}, {0, 0}, 1]^2)/
    336 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1999*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27216*Sqrt[3]) + (6143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (555031*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (14453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (197*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (423*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (317*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (191*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 1}, {6, 1}, {3, 1}, 1] -> (-19*Pi^4)/23328 + 
   (635*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/72 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (29*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (4283*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (293*H[{3, 0}, {0, 0}, 1]^2)/
    384 - (Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (130*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (243*Sqrt[3]) - (679*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (853*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 1}, {6, 1}, {6, 0}, 1] -> (19*Pi^4)/4374 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]), 
 H[{6, 0}, {6, 1}, {6, 1}, {6, 1}, 1] -> (-131*Pi^4)/1224720 - 
   (149*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (31*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi^2*H[{3, 1}, 1]^2)/27 + (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - 
   (107*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (1217*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (149*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (5357*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (6901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (203*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (167*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {6, 1}, {0, 0}, 1] -> (7*Pi^4)/1296 + 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (13*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 1}, {0, 0}, {1, 0}, 1] -> 
  (-4267*Pi^4)/408240 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (1313*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (191*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/324 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/
    72 - (7*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (169*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {0, 0}, {3, 0}, 1] -> (-143*Pi^4)/27216 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (83*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1541*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (885*H[{3, 0}, {0, 0}, 1]^2)/448 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (4873*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (5291*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (649*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5171*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (2257*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {6, 1}, {0, 0}, {3, 1}, 1] -> (71*Pi^4)/18144 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (2047*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (92*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (31*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (397*H[{3, 0}, {0, 0}, 1]^2)/448 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (8671*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (7083*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (5137*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 1}, {0, 0}, {6, 0}, 1] -> (11*Pi^4)/1458 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (5*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (67*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{6, 0}, {6, 1}, {0, 0}, {6, 1}, 1] -> 
  (-767*Pi^4)/408240 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (1075*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (81*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (209*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1681*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) - 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 1}, {0, 0}, {0, 0}, 1] -> (49*Pi^4)/5832 + 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   H[{3, 0}, {0, 0}, 1]^2/8 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {0, 0}, {1, 0}, {6, 0}, 1] -> 
  (5*Pi^4)/324 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) + (8*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (136*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {1, 0}, {6, 1}, 1] -> 
  (5*Pi^4)/648 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (4*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {0, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/486 - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {2, 0}, {6, 1}, 1] -> (5*Pi^4)/1458 + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/32 - (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (638*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 0}, {6, 0}, 1] -> (1187*Pi^4)/612360 + 
   (125*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (83*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (92*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (505*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {3, 0}, {6, 1}, 1] -> (-3967*Pi^4)/1224720 + 
   (227*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (2117*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (759*H[{3, 0}, {0, 0}, 1]^2)/448 - (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (437*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (16451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (477*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (19597*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2027*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {3, 1}, {6, 0}, 1] -> (901*Pi^4)/174960 - 
   (5*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (19*H[{3, 0}, {0, 0}, 1]^2)/64 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (139*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 - 
   (102419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (8891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5651*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (38987*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {3, 1}, {6, 1}, 1] -> (1073*Pi^4)/174960 + 
   (17*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (425*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (43*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 - 
   (65209*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (6001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4763*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (249*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2701*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (63*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (1952*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {6, 0}, {1, 0}, 1] -> (-5*Pi^4)/486 + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (7*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (536*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {6, 0}, {2, 0}, 1] -> (-19*Pi^4)/2916 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (11*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(175*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (536*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {6, 0}, {3, 0}, 1] -> (-1187*Pi^4)/612360 - 
   (125*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (92*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (130*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {6, 0}, {3, 1}, 1] -> (-721*Pi^4)/174960 + 
   (5*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 + 
   (66019*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (8891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13093*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (47387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {6, 0}, {6, 0}, 1] -> (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{6, 0}, {0, 0}, {6, 0}, {6, 1}, 1] -> (-17*Pi^4)/2916 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {6, 0}, {0, 0}, 1] -> (-29*Pi^4)/1458 + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (5*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (536*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-5*Pi^4)/972 + 
   (77*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (7*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {6, 1}, {2, 0}, 1] -> (-11*Pi^4)/1944 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (55*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 + (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (869*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (299*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (638*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {0, 0}, {6, 1}, {3, 0}, 1] -> 
  (1091*Pi^4)/612360 - (227*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (263*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (493*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (773*H[{3, 0}, {0, 0}, 1]^2)/448 + (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (437*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13159*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (1671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (14893*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (12833*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (379*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {6, 1}, {3, 1}, 1] -> (79*Pi^4)/489888 - 
   (17*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (2465*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (557*H[{3, 0}, {0, 0}, 1]^2)/448 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (485*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (56131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (4559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (10559*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (337*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (14023*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (16843*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (640*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {6, 1}, {6, 0}, 1] -> 
  (4*Pi^4)/729 + (Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/4 + (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{6, 0}, {0, 0}, {6, 1}, {6, 1}, 1] -> 
  -Pi^4/5832 + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {0, 0}, {6, 1}, {0, 0}, 1] -> 
  (-29*Pi^4)/2916 + (25*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 - (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {0, 0}, {6, 0}, 1] -> (10*Pi^4)/729 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/8, H[{6, 0}, {0, 0}, {0, 0}, {6, 1}, 1] -> 
  (5*Pi^4)/729 - (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 1}, {1, 0}, {1, 0}, {6, 1}, 1] -> (7*Pi^4)/2592 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]), 
 H[{6, 1}, {1, 0}, {2, 0}, {6, 1}, 1] -> (-715*Pi^4)/40824 - 
   (527*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (169*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (61*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/14 + (85*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (1297*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (395*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (39967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (7113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2267*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (871*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (589*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (128*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (299*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 0}, {6, 1}, 1] -> (1991*Pi^4)/2449440 - 
   (3727*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    630 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (83*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (313*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7933*H[{3, 0}, {0, 0}, 1]^2)/3360 + (131*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (26879*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (2347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (37099*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (1149*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (11279*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (59317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (979*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (82*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (57*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 1}, {6, 1}, 1] -> (6533*Pi^4)/2449440 + 
   (167*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - (35*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (2951*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (523*H[{3, 0}, {0, 0}, 1]^2)/840 - (71*Pi^2*H[{3, 1}, {2, 0}, 1])/630 - 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (409*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (149*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2531*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (283*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (709*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {1, 0}, {6, 0}, {6, 1}, 1] -> (-233*Pi^4)/45360 - 
   (43*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (54*Sqrt[3]) - (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (1123*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (449*H[{3, 0}, {0, 0}, 1]^2)/280 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (2951*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2329*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (119*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (619*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (74*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 1}, {1, 0}, 1] -> (-599*Pi^4)/116640 + 
   (149*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (37*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] - 2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 1}, {2, 0}, 1] -> (3203*Pi^4)/408240 - 
   (79*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (26*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (701*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1861*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (429*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2 - 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (1027*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (7607*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (6661*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (131*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (937*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (317*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (89*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 1}, {3, 0}, 1] -> (319*Pi^4)/90720 + 
   (349*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (67*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (1223*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (839*H[{3, 0}, {0, 0}, 1]^2)/1680 - (331*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2063*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (1475*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (39517*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (5373*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (16711*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (709*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (313*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (479*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {6, 1}, {3, 1}, 1] -> (-7969*Pi^4)/816480 - 
   (97*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (1663*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/140 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1508*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2835*Sqrt[3]) + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (769*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (151*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {1, 0}, {6, 1}, {6, 0}, 1] -> (-187*Pi^4)/45360 + 
   (43*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (54*Sqrt[3]) + (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (431*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (137*H[{3, 0}, {0, 0}, 1]^2)/140 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (7799*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (151*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (44*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (179*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (339*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-59*Pi^4)/6804 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (263*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (555*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (2963*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {0, 0}, {6, 1}, 1] -> (-1039*Pi^4)/136080 + 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (41*H[{3, 0}, {0, 0}, 1]^2)/28 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (74*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (31*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {1, 0}, {6, 1}, 1] -> (1493*Pi^4)/81648 + 
   (527*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (253*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (61*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (83*H[{3, 0}, {0, 0}, 1]^2)/112 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (785*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (395*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (951*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2267*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (871*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (589*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (128*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (299*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {2, 0}, {6, 1}, 1] -> 
  -Pi^4/7776 - (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/32 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/
    108 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]), 
 H[{6, 1}, {2, 0}, {3, 0}, {6, 1}, 1] -> (-47*Pi^4)/3402 + 
   (4087*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (503*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (383*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (59*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (46*H[{3, 0}, {0, 0}, 1]^2)/35 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (89*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (31*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (3373*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (521*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (28163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (1293*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (35957*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (1243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (88279*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (10091*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (13969*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (473*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (590*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (661*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (247*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (352*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {3, 1}, {6, 1}, 1] -> (-577*Pi^4)/116640 - 
   (32*Pi^3*H[{2, 0}, 1])/(1215*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    90 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (509*Pi^2*H[{3, 0}, {0, 0}, 1])/2592 + 
   (2293*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (129*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (461*H[{3, 0}, {0, 0}, 1]^2)/320 + (67*Pi^2*H[{3, 1}, {2, 0}, 1])/540 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (60*Sqrt[3]) + (62*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (183671*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (6851*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (767*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (229*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 0}, {6, 1}, 1] -> 
  Pi^4/163296 + (59*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (2*Pi^2*H[{3, 1}, 1]^2)/27 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (53*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (1223*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (113*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (527*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (541*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2213*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (64*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (22*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {6, 1}, {2, 0}, 1] -> (21823*Pi^4)/2449440 + 
   (151*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (5*Pi^2*H[{3, 1}, 1]^2)/54 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2*Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (6331*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (1957*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (955*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (155*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (545*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (6533*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (223093*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (6459*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (62527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (6603*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (398*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (60*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1], H[{6, 1}, {2, 0}, {6, 1}, {3, 0}, 1] -> 
  (18761*Pi^4)/1224720 - (394*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (239*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (10705*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (955*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (123*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (1341*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (68*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2803*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (5819*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (173*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (424241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (22063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (8279*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (939*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (271147*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (10501*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2297*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (409*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (800*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (199*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (257*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (268*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 1}, {3, 1}, 1] -> (-5459*Pi^4)/2449440 + 
   (1951*Pi^3*H[{2, 0}, 1])/(51030*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (808*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (10795*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (6197*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (129*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (26741*H[{3, 0}, {0, 0}, 1]^2)/6720 + (293*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1260 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 - (13973*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (5399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (367*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (1517479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (48697*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (17*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (6623*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (175783*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (5949*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (6829*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (2063*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (1237*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (2917*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 1}, {6, 0}, 1] -> (4181*Pi^4)/489888 - 
   (859*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (1345*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (781*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (337*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/420 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (4721*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (419*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (103*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (437*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (261*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {6, 1}, {6, 1}, 1] -> (17723*Pi^4)/816480 + 
   (131*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (61*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/168 + (17*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - (1997*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (2365*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (229*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (2337*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (197*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - (3*H[{3, 1}, {2, 0}, 1]^2)/4 + 
   (647*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (5921*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (2789*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (4167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (15*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (96*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (165*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1] + 
   (3*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/2 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {0, 0}, {6, 1}, 1] -> (1681*Pi^4)/163296 + 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (185*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (97*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (323*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (221*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (8107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 0}, {1, 0}, {6, 1}, 1] -> (-16271*Pi^4)/2449440 + 
   (2887*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (727*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (6011*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (5623*H[{3, 0}, {0, 0}, 1]^2)/3360 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (50923*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (2347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (142097*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (1149*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3713*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (59317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (17*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (17*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (839*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (82*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (57*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {2, 0}, {6, 1}, 1] -> (1009*Pi^4)/81648 + 
   (113*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (491*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2593*H[{3, 0}, {0, 0}, 1]^2)/1680 - (176*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (2743*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (521*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3679*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (1293*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (1243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (86879*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (10091*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (13549*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (473*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (590*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (661*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (247*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (352*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {3, 0}, {6, 1}, 1] -> (-11*Pi^4)/69984 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (14*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (54*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (121*H[{3, 0}, {0, 0}, 1]^2)/288 - (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]), 
 H[{6, 1}, {3, 0}, {3, 1}, {6, 1}, 1] -> (-979*Pi^4)/87480 + 
   (275*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) + (55*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 + (11*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/
    324 - (2957*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (217*H[{3, 0}, {0, 0}, 1]^2)/288 + (Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/18 + (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (1025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (33527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (4301*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7757*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (17*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (110*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 0}, {6, 1}, 1] -> (-3481*Pi^4)/2449440 - 
   (4369*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (227*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (2183*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (493*H[{3, 0}, {0, 0}, 1]^2)/2240 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1433*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (1579*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (613*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(315*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (478*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (479*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (299*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 1}, {3, 0}, 1] -> (9781*Pi^4)/816480 + 
   (109*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/243 - 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (1237*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (58*Pi^2*H[{3, 0}, {0, 0}, 1])/567 + 
   (2749*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (37*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (2771*H[{3, 0}, {0, 0}, 1]^2)/1120 - (187*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (37*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/18 + (1369*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) - (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (55943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (341*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (14317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2179*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(280*Sqrt[3]) - 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (28*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (22*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (647*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   (16*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (10*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (44*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 1}, {3, 1}, 1] -> (-97*Pi^4)/34020 - 
   (8*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (16*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (4615*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (443*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/448 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   H[{3, 1}, {2, 0}, 1]^2/9 + (2137*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (217061*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (1079*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3024*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2819*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (291*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (26*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (124*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (14*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 1}, {6, 0}, 1] -> (7181*Pi^4)/2449440 - 
   (4379*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/18 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (173*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (241*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (85*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3179*H[{3, 0}, {0, 0}, 1]^2)/6720 + (269*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 + 
   (167*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) - 
   (1459*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (317551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (14453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (439*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (28181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (423*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (104*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (221*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (209*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (163*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {3, 0}, {6, 1}, {6, 1}, 1] -> 
  (881*Pi^4)/244944 - (7097*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - 
   (377*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) + (1171*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (449*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (1723*H[{3, 0}, {0, 0}, 1]^2)/2240 + 
   (377*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (9761*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36288*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (463*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (673*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (179*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {0, 0}, {6, 1}, 1] -> (-857*Pi^4)/153090 + 
   (209*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (1381*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1969*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (253*H[{3, 0}, {0, 0}, 1]^2)/448 + (113*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (379*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (1763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (9299*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (257*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (20359*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (317*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (73*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (748*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {1, 0}, {6, 1}, 1] -> (2077*Pi^4)/2449440 - 
   (493*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (35*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (1033*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (9161*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (151*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (1781*H[{3, 0}, {0, 0}, 1]^2)/1680 + (1243*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (745*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (929*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1260*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (727*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (283*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (709*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {3, 1}, {2, 0}, {6, 1}, 1] -> (437*Pi^4)/116640 + 
   (233*Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (311*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1620 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/96 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (129*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (1243*H[{3, 0}, {0, 0}, 1]^2)/960 - (103*Pi^2*H[{3, 1}, {2, 0}, 1])/810 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(360*Sqrt[3]) - 
   (62*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (67757*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (6851*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (767*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (229*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 + 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {3, 0}, {6, 1}, 1] -> (1543*Pi^4)/174960 - 
   (275*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/972 + 
   (31*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    324 - (19*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (3769*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (371*H[{3, 0}, {0, 0}, 1]^2)/288 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (14*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/18 - (287*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (1025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (14909*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (4301*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4957*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (110*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {6, 1}, 1] -> (47*Pi^4)/34992 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/486 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (35*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (49*H[{3, 0}, {0, 0}, 1]^2)/288 - (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/18 + (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (432*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]), 
 H[{6, 1}, {3, 1}, {6, 0}, {6, 1}, 1] -> (1823*Pi^4)/612360 + 
   (5963*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (115*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (913*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (169*H[{3, 0}, {0, 0}, 1]^2)/560 + (Pi^2*H[{3, 1}, {2, 0}, 1])/140 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) + (941*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (239*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(315*Sqrt[3]) - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/6 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (93*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (221*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 1}, {3, 1}, 1] -> (1189*Pi^4)/122472 + 
   (395*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/972 + 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (3013*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (1445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (125*H[{3, 0}, {0, 0}, 1]^2)/336 - (59*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/18 - (367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (504*Sqrt[3]) - (1207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (216841*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (10483*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (8*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (23531*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (953*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (22*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (719*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (16*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (317*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {3, 1}, {6, 1}, {6, 0}, 1] -> (-2203*Pi^4)/612360 + 
   (2293*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/24 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (355*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (3611*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (2699*H[{3, 0}, {0, 0}, 1]^2)/3360 + (67*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (1753*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(630*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (176*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (673*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (107*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (277*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 1}, {6, 1}, 1] -> (-859*Pi^4)/612360 + 
   (1007*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (811*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (299*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (547*H[{3, 0}, {0, 0}, 1]^2)/448 - 
   (41*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (35041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (2949*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (253*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {3, 1}, {0, 0}, {6, 1}, 1] -> 
  (107*Pi^4)/122472 - (41*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (55*H[{3, 0}, {0, 0}, 1]^2)/224 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (821*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (937*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (271*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (6439*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (1481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {1, 0}, {6, 1}, 1] -> (-1123*Pi^4)/408240 + 
   (43*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (1123*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (239*H[{3, 0}, {0, 0}, 1]^2)/280 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (25649*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (493*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3029*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (119*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (524*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (619*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (74*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {2, 0}, {6, 1}, 1] -> (55*Pi^4)/163296 - 
   (59*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) - (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi^2*H[{3, 1}, 1]^2)/27 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (289*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (1783*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (541*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (83*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (22*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {3, 0}, {6, 1}, 1] -> (449*Pi^4)/272160 - 
   (1091*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (299*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (2239*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (839*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7639*H[{3, 0}, {0, 0}, 1]^2)/6720 + (493*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (1579*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (5027*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2520*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (478*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (479*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (299*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 1}, {6, 1}, 1] -> (-92*Pi^4)/25515 - 
   (3863*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (221*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (17*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi^2*H[{3, 0}, {0, 0}, 1])/1134 - 
   (2291*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1487*H[{3, 0}, {0, 0}, 1]^2)/1680 - (221*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (2033*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (941*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1260*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (101*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (93*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (221*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {6, 0}, {6, 1}, 1] -> 
  -Pi^4/2187 - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/2, H[{6, 1}, {6, 0}, {6, 1}, {6, 0}, 1] -> 
  (-268*Pi^4)/76545 + (32*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (59*H[{3, 0}, {0, 0}, 1]^2)/70 - (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (128*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 + 
   (48*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 0}, {6, 1}, {6, 1}, 1] -> (4733*Pi^4)/1224720 + 
   (149*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 - 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (349*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3651*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (149*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 + 
   (2089*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (439*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (203*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (501*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (447*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {0, 0}, {6, 1}, 1] -> (209*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (85*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/28 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (2033*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (4693*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (28*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {1, 0}, {6, 1}, 1] -> (37*Pi^4)/4536 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (491*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (555*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (2683*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-1837*Pi^4)/90720 - 
   (803*Pi^3*H[{2, 0}, 1])/(54432*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (41*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/168 - (13*Pi^2*H[{3, 1}, 1]^2)/216 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (Pi*H[{3, 1}, 1]^3)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + (619*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4032 - (7151*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (2337*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + (3*H[{3, 1}, {2, 0}, 1]^2)/4 - 
   (809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (5921*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (1513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (4167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (15*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (96*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (165*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1] - 
   (3*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/2 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {3, 0}, {6, 1}, 1] -> (-1315*Pi^4)/244944 + 
   (6677*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (253*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (7*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (3*Sqrt[3]) - (1129*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (631*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (1723*H[{3, 0}, {0, 0}, 1]^2)/2240 + 
   (253*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (3571*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (323*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (533*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (179*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {3, 1}, {6, 1}, 1] -> (1769*Pi^4)/612360 - 
   (965*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (223*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (439*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (547*H[{3, 0}, {0, 0}, 1]^2)/448 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (202*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (13547*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (2949*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (197*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {6, 1}, {6, 0}, {6, 1}, 1] -> 
  (-7393*Pi^4)/1224720 - (149*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) + 
   (19*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (349*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (3651*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (149*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (7177*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (5501*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (509*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (203*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (501*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (447*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {6, 1}, {6, 1}, 1] -> Pi^4/17496, 
 H[{6, 1}, {6, 1}, {0, 0}, {6, 1}, 1] -> (-157*Pi^4)/40824 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (179*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (117*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (1325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {1, 0}, {6, 1}, 1] -> (107*Pi^4)/11340 - 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (55*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (227*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (74*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (59*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {2, 0}, {6, 1}, 1] -> (-1471*Pi^4)/163296 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - 
   (251*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (185*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (181*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (1849*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (221*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (8107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {3, 0}, {6, 1}, 1] -> (-1859*Pi^4)/1224720 + 
   (127*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (1885*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (1969*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (561*H[{3, 0}, {0, 0}, 1]^2)/448 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2353*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (379*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (4301*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (10139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (257*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (24559*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (317*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (241*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (748*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {3, 1}, {6, 1}, 1] -> (209*Pi^4)/61236 + 
   (5*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (851*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (38*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (43*H[{3, 0}, {0, 0}, 1]^2)/224 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (205*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (937*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (6439*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (1481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 0}, {6, 1}, 1] -> (-101*Pi^4)/15120 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (479*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/14 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (538*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {6, 1}, {1, 0}, 1] -> (823*Pi^4)/136080 + 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (8*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/28 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {6, 1}, {2, 0}, 1] -> (673*Pi^4)/116640 + 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/36 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (61*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (61*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (221*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{6, 1}, {0, 0}, {6, 1}, {3, 0}, 1] -> (347*Pi^4)/43740 + 
   (11*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    162 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (35*H[{3, 0}, {0, 0}, 1]^2)/64 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/162 + 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/162 + 
   (93083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (5987*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (2747*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (11609*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (55*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (71*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 1}, {3, 1}, 1] -> (1039*Pi^4)/612360 - 
   (5*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (157*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (38*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (41*H[{3, 0}, {0, 0}, 1]^2)/224 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (433*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (7423*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (1481*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (278*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (137*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 1}, {6, 0}, 1] -> (1049*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (571*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (1403*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2593*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (389*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (47*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {6, 1}, {6, 1}, 1] -> (41*Pi^4)/10206 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (323*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (117*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (1045*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {6, 1}, {0, 0}, 1] -> (4343*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (41*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {0, 0}, {6, 1}, 1] -> (71*Pi^4)/23328 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]), 
 H[{0, 0}, {1, 0}, {1, 0}, {1, 0}, 1] -> -Pi^4/90, 
 H[{0, 0}, {1, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/240 + (Pi^2*H[{2, 0}, 1]^2)/8 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{0, 0}, {1, 0}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/486 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (8*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - 3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {1, 0}, {3, 1}, 1] -> 
  -Pi^4/1215 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/9 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (1013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {1, 0}, {1, 0}, {6, 0}, 1] -> (-3*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {1, 0}, {6, 1}, 1] -> (211*Pi^4)/136080 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/84 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {1, 0}, {0, 0}, 1] -> -Pi^4/72, 
 H[{0, 0}, {1, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/1440 - (Pi^2*H[{2, 0}, 1]^2)/4 - 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{0, 0}, {1, 0}, {2, 0}, {2, 0}, 1] -> (-11*Pi^4)/1440 - 
   (Pi^2*H[{2, 0}, 1]^2)/8 - (15*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    8 + H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {2, 0}, {3, 0}, 1] -> 
  (-7*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, 1]^2/8 - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {2, 0}, {3, 1}, 1] -> (367*Pi^4)/136080 + 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (533*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (263*H[{3, 0}, {0, 0}, 1]^2)/112 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (919*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(160*Sqrt[3]) + 
   (2551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (425*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (173*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/324 - (Pi^3*H[{2, 0}, 1])/(12*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1], H[{0, 0}, {1, 0}, {2, 0}, {6, 1}, 1] -> 
  (7*Pi^4)/4320 - (13*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/64 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (40993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (12731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (2441*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (349*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {1, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/96 - (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 - 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, {1, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, {2, 0}, 1] -> (-5*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/324 + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^4/972 - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {1, 0}, {3, 0}, {6, 0}, 1] -> (-5*Pi^4)/432 - 
   (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/16 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (4873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {1, 0}, {3, 0}, {6, 1}, 1] -> 
  (1079*Pi^4)/816480 - (29*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (79*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1507*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 0}, {0, 0}, 1] -> 
  (4*Pi^4)/729 + (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 1}, {1, 0}, 1] -> (-13*Pi^4)/1620 - 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (2*Pi^2*H[{3, 1}, 1]^2)/9 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (21*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (7799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (2833*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {1, 0}, {3, 1}, {2, 0}, 1] -> (-701*Pi^4)/272160 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (265*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/112 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/42 + 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (841*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (919*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(160*Sqrt[3]) - 
   (2111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3113*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (133*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   (79*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {3, 1}, {3, 0}, 1] -> 
  Pi^4/2916 - (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (203*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {1, 0}, {3, 1}, {3, 1}, 1] -> (-41*Pi^4)/7290 - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/9 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {1, 0}, {3, 1}, {6, 0}, 1] -> (4369*Pi^4)/816480 + 
   (25*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (8*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 - 
   (169*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (457*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1807*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {3, 1}, {6, 1}, 1] -> (-4649*Pi^4)/816480 + 
   (169*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (113*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (64*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (39443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (913*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (145*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {3, 1}, {0, 0}, 1] -> (-109*Pi^4)/5832 - 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {1, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {2, 0}, 1] -> 
  -Pi^4/324 - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    24 - (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {3, 0}, 1] -> (-61*Pi^4)/11664 + 
   (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {1, 0}, {6, 0}, {3, 1}, 1] -> 
  (-221*Pi^4)/90720 - (25*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/42 + (103*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (219*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (691*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (4819*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (103*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {6, 0}, 1] -> (-25*Pi^4)/2916 + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + H[{3, 0}, {0, 0}, 1]^2/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (338*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {6, 1}, 1] -> (557*Pi^4)/204120 + 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (377*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (53*H[{3, 0}, {0, 0}, 1]^2)/28 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (19*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (22*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 0}, {0, 0}, 1] -> (-7*Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {1, 0}, {6, 1}, {1, 0}, 1] -> (-919*Pi^4)/90720 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/168 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (243*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {6, 1}, {2, 0}, 1] -> (-3263*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 + (167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (719*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (373*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (159*H[{3, 0}, {0, 0}, 1]^2)/448 + (83*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (281*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 - 
   (40993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (1533*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {1, 0}, {6, 1}, {3, 0}, 1] -> (-6259*Pi^4)/816480 + 
   (29*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (269*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (191*H[{3, 0}, {0, 0}, 1]^2)/224 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (953*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (6023*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (841*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (293*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 1}, {3, 1}, 1] -> (-869*Pi^4)/204120 - 
   (199*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/
    168 - (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (369*H[{3, 0}, {0, 0}, 1]^2)/448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (409*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (959*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(200*Sqrt[3]) + 
   (2371*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1007*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (123*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (551*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {1, 0}, {6, 1}, {6, 0}, 1] -> (-769*Pi^4)/68040 - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (317*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (59*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (184*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {1, 0}, {6, 1}, {6, 1}, 1] -> (-6001*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (143*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (131*H[{3, 0}, {0, 0}, 1]^2)/112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (421*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {1, 0}, {6, 1}, {0, 0}, 1] -> (-1433*Pi^4)/90720 - 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {1, 0}, {0, 0}, {1, 0}, 1] -> Pi^4/120, 
 H[{0, 0}, {1, 0}, {0, 0}, {2, 0}, 1] -> (-23*Pi^4)/1440 - 
   2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {1, 0}, {0, 0}, {3, 0}, 1] -> (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {0, 0}, {3, 1}, 1] -> (-59*Pi^4)/9720 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + (21*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {1, 0}, {0, 0}, {6, 0}, 1] -> (5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {1, 0}, {0, 0}, {6, 1}, 1] -> (1037*Pi^4)/272160 + 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (279*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {1, 0}, {0, 0}, {0, 0}, 1] -> -Pi^4/30, 
 H[{0, 0}, {2, 0}, {1, 0}, {1, 0}, 1] -> 
  (7*Pi^4)/720 + (Pi^2*H[{2, 0}, 1]^2)/8 + 
   (9*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2, 
 H[{0, 0}, {2, 0}, {1, 0}, {2, 0}, 1] -> 
  (7*Pi^4)/720 + (Pi^2*H[{2, 0}, 1]^2)/4 + 
   (21*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {2, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/648 + (7*Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/8 + H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (175*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {2, 0}, {1, 0}, {3, 1}, 1] -> (131*Pi^4)/90720 - 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (407*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (137*H[{3, 0}, {0, 0}, 1]^2)/112 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (179*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (173*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {1, 0}, {6, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(12*Sqrt[3]) + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {1, 0}, {6, 1}, 1] -> (221*Pi^4)/34020 + 
   (101*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (235*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (141*H[{3, 0}, {0, 0}, 1]^2)/448 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (439*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 + 
   (1747*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (499*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (52*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {1, 0}, {0, 0}, 1] -> 
  (7*Pi^4)/288 + (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {2, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/240 - (Pi^2*H[{2, 0}, 1]^2)/8 - 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {2, 0}, {2, 0}, {2, 0}, 1] -> 
  Pi^4/360 + (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{0, 0}, {2, 0}, {2, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {2, 0}, {3, 1}, 1] -> (-991*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (407*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (14*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {2, 0}, {6, 0}, 1] -> 
  -Pi^4/648 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/
    72 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{0, 0}, {2, 0}, {2, 0}, {6, 1}, 1] -> 
  (-475*Pi^4)/54432 - (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (Pi^2*H[{3, 1}, 1]^2)/18 + (145*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (243*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (1279*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(16*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (557*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (411*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {2, 0}, {0, 0}, 1] -> -Pi^4/288, 
 H[{0, 0}, {2, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^4/648 + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/
    48 - (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1], H[{0, 0}, {2, 0}, {3, 0}, {2, 0}, 1] -> 
  -(Pi^2*H[{3, 0}, {0, 0}, 1])/48 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {3, 0}, {3, 0}, 1] -> 
  Pi^4/648 + (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^4/1296 + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/
    48 + H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {3, 0}, {6, 0}, 1] -> (32*Pi^4)/25515 - 
   (Pi^3*H[{2, 0}, 1])/(63*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/28 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {3, 0}, {6, 1}, 1] -> (16*Pi^4)/25515 + 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    21 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {3, 0}, {0, 0}, 1] -> (-5*Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {2, 0}, {3, 1}, {1, 0}, 1] -> (-797*Pi^4)/90720 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (465*H[{3, 0}, {0, 0}, 1]^2)/224 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (155*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) - 
   (9147*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {3, 1}, {2, 0}, 1] -> (193*Pi^4)/68040 - 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (1391*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (477*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (211*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (28*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {3, 1}, {3, 0}, 1] -> 
  -Pi^4/432 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/
    24 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {2, 0}, {3, 1}, {3, 1}, 1] -> 
  (-163*Pi^4)/136080 - (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 0}, {0, 0}, 1])/63 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (615*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (136*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25*Sqrt[3]) - 
   (5269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (137*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (479*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {3, 1}, {6, 0}, 1] -> (-16*Pi^4)/25515 - 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    21 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {3, 1}, {6, 1}, 1] -> (47*Pi^4)/81648 - 
   (Pi^3*H[{2, 0}, 1])/(28*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (193*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (159*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {3, 1}, {0, 0}, 1] -> (-541*Pi^4)/272160 - 
   (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (111*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] + 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {6, 0}, {1, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) - (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 0}, {2, 0}, 1] -> 
  Pi^4/486 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    3 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 0}, {3, 0}, 1] -> (1039*Pi^4)/204120 + 
   (Pi^3*H[{2, 0}, 1])/(63*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (37*H[{3, 0}, {0, 0}, 1]^2)/112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (15241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (1549*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {6, 0}, {3, 1}, 1] -> (-73*Pi^4)/51030 + 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (65*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (75751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (7739*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (829*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 0}, {6, 0}, 1] -> (-11*Pi^4)/5832 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 - (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (101*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 0}, {6, 1}, 1] -> (5*Pi^4)/1296 + 
   (7*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (5*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (494*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 0}, {0, 0}, 1] -> 
  (5*Pi^4)/729 + (10*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    16, H[{0, 0}, {2, 0}, {6, 1}, {1, 0}, 1] -> 
  (1493*Pi^4)/90720 + (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (323*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (597*H[{3, 0}, {0, 0}, 1]^2)/448 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(112*Sqrt[3]) - 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (176237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (62579*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (6583*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (381*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (159*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {6, 1}, {2, 0}, 1] -> (4813*Pi^4)/272160 + 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/9 - 
   (535*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (2731*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (797*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (45*H[{3, 0}, {0, 0}, 1]^2)/
    28 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (361*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (155*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1993*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) - 
   (1539*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (239*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {6, 1}, {3, 0}, 1] -> (187*Pi^4)/204120 - 
   (5*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/42 + 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (53*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (181*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1159*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {2, 0}, {6, 1}, {3, 1}, 1] -> (53*Pi^4)/27216 + 
   (11*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (2*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/28 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1159*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (941*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3347*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (100*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {6, 1}, {6, 0}, 1] -> (-41*Pi^4)/11664 - 
   (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (5*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (494*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {2, 0}, {6, 1}, {6, 1}, 1] -> 
  (61*Pi^4)/3402 + (Pi^3*H[{2, 0}, 1])/(56*Sqrt[3]) + 
   (25*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    28 + (Pi^2*H[{3, 1}, 1]^2)/18 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (425*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (3047*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (45*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (25*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (15*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/14 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (81*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {2, 0}, {6, 1}, {0, 0}, 1] -> (5417*Pi^4)/163296 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/
    84 + (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (219*H[{3, 0}, {0, 0}, 1]^2)/112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {0, 0}, {1, 0}, 1] -> -Pi^4/480, 
 H[{0, 0}, {2, 0}, {0, 0}, {2, 0}, 1] -> (17*Pi^4)/1440 + 
   2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {2, 0}, {0, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (53*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {2, 0}, {0, 0}, {3, 1}, 1] -> (-1487*Pi^4)/272160 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (107*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (345*H[{3, 0}, {0, 0}, 1]^2)/112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {0, 0}, {6, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {2, 0}, {0, 0}, {6, 1}, 1] -> (563*Pi^4)/90720 + 
   (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/168 + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (115*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (38*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {2, 0}, {0, 0}, {0, 0}, 1] -> (7*Pi^4)/240, 
 H[{0, 0}, {3, 0}, {1, 0}, {1, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 0}, {1, 0}, {2, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/8 + H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1], 
 H[{0, 0}, {3, 0}, {1, 0}, {3, 0}, 1] -> -Pi^4/486 + H[{3, 0}, {0, 0}, 1]^2 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {1, 0}, {3, 1}, 1] -> -(Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, 1]^2/2 + (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {3, 0}, {1, 0}, {6, 0}, 1] -> (13*Pi^4)/3888 - 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (691*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {3, 0}, {1, 0}, {6, 1}, 1] -> 
  (-4439*Pi^4)/816480 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (307*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/224 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (227*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (619*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {3, 0}, {1, 0}, {0, 0}, 1] -> (-4*Pi^4)/729 - 
   (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, {1, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, 1]^2/8 - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{0, 0}, {3, 0}, {2, 0}, {2, 0}, 1] -> 
  -H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, {3, 0}, 1] -> 
  (2*Pi^4)/243 - (9*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (226*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, {3, 1}, 1] -> 
  -Pi^4/243 - (Pi^2*H[{3, 0}, {0, 0}, 1])/24 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, {6, 0}, 1] -> (-485*Pi^4)/81648 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (193*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (10*H[{3, 0}, {0, 0}, 1]^2)/7 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (14167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (286*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (811*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (104*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {2, 0}, {6, 1}, 1] -> (3379*Pi^4)/816480 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (109*Pi^2*H[{3, 0}, {0, 0}, 1])/
    252 - (179*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/112 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1265*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (6739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (181*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {3, 0}, {2, 0}, {0, 0}, 1] -> (7*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {3, 0}, {3, 0}, {1, 0}, 1] -> (13*Pi^4)/2916 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {3, 0}, {3, 0}, {2, 0}, 1] -> (-23*Pi^4)/5832 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (5*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {3, 0}, {3, 0}, {3, 0}, 1] -> 
  -(Pi^2*H[{3, 0}, {0, 0}, 1])/36 + (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    24, H[{0, 0}, {3, 0}, {3, 0}, {3, 1}, 1] -> 
  -Pi^4/972 - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {3, 0}, {3, 0}, {6, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, 1]^2/12 + (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    3 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{0, 0}, {3, 0}, {3, 0}, {6, 1}, 1] -> (1739*Pi^4)/408240 + 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 + (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (845*H[{3, 0}, {0, 0}, 1]^2)/1344 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (29083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (12561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (817*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 0}, {3, 0}, {0, 0}, 1] -> -H[{3, 0}, {0, 0}, 1]^2/2, 
 H[{0, 0}, {3, 0}, {3, 1}, {1, 0}, 1] -> (-11*Pi^4)/2916 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (25*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, 1]^2/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{0, 0}, {3, 0}, {3, 1}, {2, 0}, 1] -> 
  Pi^4/243 + (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {3, 1}, {3, 0}, 1] -> 
  Pi^4/486 + (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (7*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{0, 0}, {3, 0}, {3, 1}, {3, 1}, 1] -> 
  -Pi^4/486 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 + (20*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {3, 0}, {3, 1}, {6, 0}, 1] -> (-143*Pi^4)/51030 - 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (185*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (89*H[{3, 0}, {0, 0}, 1]^2)/1344 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (1123*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (737*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 0}, {3, 1}, {6, 1}, 1] -> (-169*Pi^4)/30240 - 
   (Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (319*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (565*H[{3, 0}, {0, 0}, 1]^2)/1344 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1403*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (53003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (7667*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(16*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 0}, {3, 1}, {0, 0}, 1] -> (-4*Pi^4)/729 - 
   (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {3, 0}, {6, 0}, {1, 0}, 1] -> (91*Pi^4)/9720 + 
   (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (2*Pi^2*H[{3, 1}, {2, 0}, 1])/9 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (1109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + 4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 0}, {6, 0}, {2, 0}, 1] -> (799*Pi^4)/408240 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (97*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (121*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/14 + 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (773*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (371*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {6, 0}, {3, 0}, 1] -> (1187*Pi^4)/612360 - 
   (169*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (125*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (127*H[{3, 0}, {0, 0}, 1]^2)/168 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 0}, {3, 1}, 1] -> (619*Pi^4)/1224720 + 
   (337*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (209*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (209*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (689*H[{3, 0}, {0, 0}, 1]^2)/1344 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (160*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (51703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (5967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2843*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (18761*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 0}, {6, 0}, 1] -> (1187*Pi^4)/612360 + 
   (5*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 + (929*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (13*H[{3, 0}, {0, 0}, 1]^2)/28 - 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 0}, {6, 1}, 1] -> (6911*Pi^4)/1224720 + 
   (185*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (199*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (395*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (10837*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (283*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (209*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (465*H[{3, 0}, {0, 0}, 1]^2)/448 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (373*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (67871*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (1177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/640 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (277*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (18103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (26429*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (368*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (199*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 0}, {0, 0}, 1] -> (353*Pi^4)/34020 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {6, 1}, {1, 0}, 1] -> (91*Pi^4)/19440 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (179*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 0}, {6, 1}, {2, 0}, 1] -> (-877*Pi^4)/272160 + 
   (Pi^3*H[{2, 0}, 1])/(168*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (65*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (565*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (4*H[{3, 0}, {0, 0}, 1]^2)/7 - (Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (685*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (2467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (2029*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {6, 1}, {3, 0}, 1] -> (-2593*Pi^4)/1224720 - 
   (169*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (125*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1831*H[{3, 0}, {0, 0}, 1]^2)/1344 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (853*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (11897*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (9647*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 1}, {3, 1}, 1] -> (419*Pi^4)/1224720 - 
   (271*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (983*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (911*H[{3, 0}, {0, 0}, 1]^2)/1344 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2833*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (991*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (673*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1093*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7349*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/80 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (268*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 1}, {6, 0}, 1] -> (-12421*Pi^4)/1224720 - 
   (127*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (163*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (11387*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (309*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (209*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (372257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (46673*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (17849*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (527*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (16069*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (22909*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (97*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (139*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 1}, {6, 1}, 1] -> (-14*Pi^4)/10935 - 
   (83*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 + (109*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 + (785*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (49*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (259*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) + (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 - 
   (10793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) + 
   (1177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (6449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5089*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (28*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/12 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 0}, {6, 1}, {0, 0}, 1] -> (353*Pi^4)/68040 - 
   (19*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (97*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {0, 0}, {1, 0}, 1] -> (7*Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {0, 0}, {2, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {3, 0}, {0, 0}, {3, 0}, 1] -> 
  Pi^4/729 + (3*H[{3, 0}, {0, 0}, 1]^2)/2 - 
   (2818*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 0}, {0, 0}, {3, 1}, 1] -> 
  -Pi^4/1458 - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - (3*H[{3, 0}, {0, 0}, 1]^2)/
    4 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{0, 0}, {3, 0}, {0, 0}, {6, 0}, 1] -> 
  (-23*Pi^4)/2268 - (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/
    63 - (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(35*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (724*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (26*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {0, 0}, {6, 1}, 1] -> (-23*Pi^4)/4536 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (611*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (362*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 0}, {0, 0}, {0, 0}, 1] -> 
  -3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 1}, {1, 0}, {1, 0}, 1] -> (11*Pi^4)/810 + 
   (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/9 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/16 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (9679*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (1231*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {3, 1}, {1, 0}, {2, 0}, 1] -> (1793*Pi^4)/272160 + 
   (55*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (155*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (173*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/112 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (487*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (25933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (823*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {1, 0}, {3, 0}, 1] -> 
  Pi^4/324 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (7633*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (887*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {3, 1}, {1, 0}, {3, 1}, 1] -> (14*Pi^4)/1215 + 
   (7*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (2*Pi^2*H[{3, 1}, 1]^2)/9 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1], H[{0, 0}, {3, 1}, {1, 0}, {6, 0}, 1] -> 
  (-1009*Pi^4)/816480 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (359*H[{3, 0}, {0, 0}, 1]^2)/224 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (3923*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (473*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {3, 1}, {1, 0}, {6, 1}, 1] -> (8021*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + 
   (367*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (171*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1597*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1121*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (507*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {1, 0}, {0, 0}, 1] -> (163*Pi^4)/5832 + 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 1}, {2, 0}, {1, 0}, 1] -> (-335*Pi^4)/54432 - 
   (17*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    14 - (95*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (6229*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (685*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (121*H[{3, 0}, {0, 0}, 1]^2)/224 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/14 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (11947*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) - 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (101*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) - 
   (437*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (101*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {2, 0}, {2, 0}, 1] -> (-97*Pi^4)/90720 - 
   (Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (27*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {2, 0}, {3, 0}, 1] -> 
  -Pi^4/243 - (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + (9*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {3, 1}, {2, 0}, {3, 1}, 1] -> 
  (151*Pi^4)/34020 + (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (7007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (5661*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (271*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {2, 0}, {6, 0}, 1] -> (4589*Pi^4)/816480 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (379*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (25*H[{3, 0}, {0, 0}, 1]^2)/14 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1597*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (52*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (75*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {3, 1}, {2, 0}, {6, 1}, 1] -> (-977*Pi^4)/272160 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (97*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (67*H[{3, 0}, {0, 0}, 1]^2)/224 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (6187*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (1111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (331*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (253*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (92*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{0, 0}, {3, 1}, {2, 0}, {0, 0}, 1] -> (-719*Pi^4)/272160 + 
   (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 - 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (111*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] - 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {3, 0}, {1, 0}, 1] -> 
  (13*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, 1]^2/4 + 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{0, 0}, {3, 1}, {3, 0}, {2, 0}, 1] -> 
  -Pi^4/5832 - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 - (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (72*Sqrt[3]) + (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{0, 0}, {3, 1}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/324 + (Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (7799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (1061*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{0, 0}, {3, 1}, {3, 0}, {3, 1}, 1] -> 
  (7*Pi^4)/1458 + (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, 1]^2/16 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) + 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{0, 0}, {3, 1}, {3, 0}, {6, 0}, 1] -> (23*Pi^4)/204120 - 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (137*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (751*H[{3, 0}, {0, 0}, 1]^2)/1344 - (Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (515*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (166081*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (21009*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (16841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (1849*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {3, 0}, {6, 1}, 1] -> (-13*Pi^4)/816480 + 
   (125*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/504 - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (107*H[{3, 0}, {0, 0}, 1]^2)/1344 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (4595*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2688*Sqrt[3]) - 
   (619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (599*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (443*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(560*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {3, 0}, {0, 0}, 1] -> 
  (4*Pi^4)/729 + (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + H[{3, 0}, {0, 0}, 1]^2/4 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {3, 1}, {3, 1}, {1, 0}, 1] -> (-29*Pi^4)/4860 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/9 - 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/8 - (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 1}, {3, 1}, {2, 0}, 1] -> (-347*Pi^4)/102060 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 + (493*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (191*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2047*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (706*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {3, 1}, {3, 0}, 1] -> 
  -Pi^4/1458 - (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1207*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{0, 0}, {3, 1}, {3, 1}, {3, 1}, 1] -> 
  -Pi^4/1215 + (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - H[{3, 0}, {0, 0}, 1]^2/4 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{0, 0}, {3, 1}, {3, 1}, {6, 0}, 1] -> (61*Pi^4)/45360 - 
   (125*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (275*H[{3, 0}, {0, 0}, 1]^2)/1344 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (3461*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) + 
   (3503*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (731*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (713*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(16*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {3, 1}, {6, 1}, 1] -> (353*Pi^4)/408240 - 
   (139*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (155*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (163*H[{3, 0}, {0, 0}, 1]^2)/1344 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {3, 1}, {0, 0}, 1] -> 
  -Pi^4/648 - (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - H[{3, 0}, {0, 0}, 1]^2/8, 
 H[{0, 0}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-91*Pi^4)/19440 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (1003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (727*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 1}, {6, 0}, {2, 0}, 1] -> (-589*Pi^4)/816480 - 
   (Pi^3*H[{2, 0}, 1])/(168*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (379*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (583*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (71*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (811*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(540*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (7451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1427*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (333*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2123*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {3, 1}, {6, 0}, {3, 0}, 1] -> (307*Pi^4)/306180 + 
   (169*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (739*H[{3, 0}, {0, 0}, 1]^2)/1344 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (85189*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (13021*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (55487*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 0}, {3, 1}, 1] -> (-2369*Pi^4)/489888 + 
   (547*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (775*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (697*H[{3, 0}, {0, 0}, 1]^2)/1344 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (403*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (1481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (251*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8483*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (289*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 0}, {6, 0}, 1] -> (-577*Pi^4)/612360 - 
   (65*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (261*H[{3, 0}, {0, 0}, 1]^2)/448 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (1097*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (74419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (11891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (13453*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (61787*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 0}, {6, 1}, 1] -> (7813*Pi^4)/2449440 + 
   (587*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (215*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1249*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (127*H[{3, 0}, {0, 0}, 1]^2)/448 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1021*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (907*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (69029*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (21943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4511*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (83551*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (2413*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (92*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-353*Pi^4)/68040 + 
   (19*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (97*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (63*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {6, 1}, {1, 0}, 1] -> (337*Pi^4)/272160 + 
   (41*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (571*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (191*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (523*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) + 
   (669*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2617*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (7649*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (711*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (49*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {3, 1}, {6, 1}, {2, 0}, 1] -> (2039*Pi^4)/272160 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (1175*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/56 + (Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (827*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (89*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (6109*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (701*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/7 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {6, 1}, {3, 0}, 1] -> (-3803*Pi^4)/2449440 - 
   (649*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (137*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1667*H[{3, 0}, {0, 0}, 1]^2)/1344 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (881*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (491*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (3673*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1033*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (126421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (4023*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (9221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (543*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 1}, {3, 1}, 1] -> (397*Pi^4)/153090 + 
   (851*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (335*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1367*H[{3, 0}, {0, 0}, 1]^2)/1344 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2279*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (3157*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (2511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (8551*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1891*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) + 
   (731*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3061*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (163*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (43*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (151*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 1}, {6, 0}, 1] -> (-2237*Pi^4)/2449440 - 
   (31*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (317*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(576*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (269*H[{3, 0}, {0, 0}, 1]^2)/448 + (20*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (907*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (1283*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1303*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (3167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (3223*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2437*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (12893*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (359*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (88*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 1}, {6, 1}, 1] -> (2593*Pi^4)/489888 + 
   (83*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    567 - (877*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (43*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (207*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (115*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (22313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (3057*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (691*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (559*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (437*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {3, 1}, {6, 1}, {0, 0}, 1] -> (811*Pi^4)/90720 + 
   (41*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/56 + (Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (86*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {0, 0}, {1, 0}, 1] -> (-13*Pi^4)/3240 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {3, 1}, {0, 0}, {2, 0}, 1] -> (23*Pi^4)/38880 - 
   (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (21*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 1}, {0, 0}, {3, 0}, 1] -> 
  -Pi^4/1458 - (3*H[{3, 0}, {0, 0}, 1]^2)/4 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{0, 0}, {3, 1}, {0, 0}, {3, 1}, 1] -> 
  (103*Pi^4)/29160 + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1], H[{0, 0}, {3, 1}, {0, 0}, {6, 0}, 1] -> 
  (23*Pi^4)/4536 + (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (95*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (362*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {3, 1}, {0, 0}, {6, 1}, 1] -> (151*Pi^4)/38880 + 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (367*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {3, 1}, {0, 0}, {0, 0}, 1] -> (13*Pi^4)/810 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {6, 0}, {1, 0}, {1, 0}, 1] -> (5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {1, 0}, {2, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{0, 0}, {6, 0}, {1, 0}, {3, 0}, 1] -> 
  (-31*Pi^4)/11664 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (17*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 0}, {1, 0}, {3, 1}, 1] -> 
  (5279*Pi^4)/816480 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (695*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/224 - (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {1, 0}, {6, 0}, 1] -> (-31*Pi^4)/2916 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (11*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {1, 0}, {6, 1}, 1] -> (-31*Pi^4)/5832 - 
   (61*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (11*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{0, 0}, {6, 0}, {1, 0}, {0, 0}, 1] -> 
  (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    8, H[{0, 0}, {6, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/1944 - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {6, 0}, {2, 0}, {3, 0}, 1] -> (793*Pi^4)/81648 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (137*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/7 - (53*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (2783*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (2721*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (56*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (356*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (152*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {2, 0}, {3, 1}, 1] -> (-8999*Pi^4)/816480 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (1157*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (109*H[{3, 0}, {0, 0}, 1]^2)/112 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (263*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {2, 0}, {6, 0}, 1] -> (23*Pi^4)/2916 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {2, 0}, {6, 1}, 1] -> (5*Pi^4)/1458 - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (3*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{0, 0}, {6, 0}, {2, 0}, {0, 0}, 1] -> 
  (-5*Pi^4)/729 - (10*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {6, 0}, {3, 0}, {1, 0}, 1] -> (49*Pi^4)/58320 - 
   (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/16 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (17*H[{3, 0}, {0, 0}, 1]^2)/8 + (Pi^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 0}, {2, 0}, 1] -> (-163*Pi^4)/22680 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/28 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (22901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (7967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (187*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (1033*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (127*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (113*H[{3, 0}, {0, 0}, 1]^2)/168 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (635*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {3, 0}, {3, 1}, 1] -> (-2647*Pi^4)/1224720 - 
   (125*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (557*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (253*H[{3, 0}, {0, 0}, 1]^2)/1344 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (557*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (51703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) - 
   (5767*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (27133*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1279*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-1187*Pi^4)/204120 + 
   (29*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/
    126 - (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (85*H[{3, 0}, {0, 0}, 1]^2)/56 + 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 2*H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (437*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 0}, {6, 1}, 1] -> (-67*Pi^4)/136080 - 
   (11*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (23*Pi^2*H[{3, 0}, {0, 0}, 1])/
    63 - (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (1237*H[{3, 0}, {0, 0}, 1]^2)/448 + 
   (37*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (359*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (95*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (248*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-353*Pi^4)/34020 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (Pi^2*H[{3, 0}, {0, 0}, 1])/63 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {3, 1}, {1, 0}, 1] -> (-59*Pi^4)/116640 - 
   (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - 
   (73*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (37*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (22949*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1343*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (611*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (589*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 0}, {3, 1}, {2, 0}, 1] -> 
  (1327*Pi^4)/204120 + (61*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (2347*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (165*H[{3, 0}, {0, 0}, 1]^2)/224 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (6047*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (751*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (701*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (212*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 1}, {3, 0}, 1] -> (3989*Pi^4)/1224720 - 
   (41*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 + (1061*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1007*H[{3, 0}, {0, 0}, 1]^2)/1344 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (535*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (4039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) + 
   (12791*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1649*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (4891*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) - 
   (1131*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (397*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {3, 1}, {3, 1}, 1] -> (541*Pi^4)/153090 - 
   (43*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (73*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (109*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 - (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (401*H[{3, 0}, {0, 0}, 1]^2)/1344 - (73*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2605*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (331*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (751*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (467*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (83*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (20807*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (741*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (284*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {3, 1}, {6, 0}, 1] -> (2587*Pi^4)/408240 - 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (155*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (389*H[{3, 0}, {0, 0}, 1]^2)/448 - 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (2621*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {3, 1}, {6, 1}, 1] -> (23*Pi^4)/45360 - 
   (47*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (281*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (445*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (3517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 - 
   (19493*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (3277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (323*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3833*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {3, 1}, {0, 0}, 1] -> (353*Pi^4)/68040 - 
   (19*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (97*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (97*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (63*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {6, 0}, {1, 0}, 1] -> (49*Pi^4)/5832 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (25*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 0}, {6, 0}, {2, 0}, 1] -> 
  (-5*Pi^4)/2916 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {6, 0}, {6, 0}, {3, 0}, 1] -> (1187*Pi^4)/306180 - 
   (107*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 + (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (59*H[{3, 0}, {0, 0}, 1]^2)/56 - 
   (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (577*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (8*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {6, 0}, {3, 1}, 1] -> (-4087*Pi^4)/1224720 + 
   (19*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (697*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (219*H[{3, 0}, {0, 0}, 1]^2)/448 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (1201*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (100*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (66019*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (5891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (709*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (41387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (376*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {6, 0}, {6, 0}, 1] -> (-2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {6, 0}, {6, 0}, {6, 1}, 1] -> 
  Pi^4/324 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/2 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {6, 0}, {6, 0}, {0, 0}, 1] -> (-9*H[{3, 0}, {0, 0}, 1]^2)/8, 
 H[{0, 0}, {6, 0}, {6, 1}, {1, 0}, 1] -> (-767*Pi^4)/408240 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (239*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (95*H[{3, 0}, {0, 0}, 1]^2)/56 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (475*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {6, 1}, {2, 0}, 1] -> (-23*Pi^4)/11664 - 
   (19*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1], H[{0, 0}, {6, 0}, {6, 1}, {3, 0}, 1] -> 
  (239*Pi^4)/153090 + (5*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (215*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (199*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (1633*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (283*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (1223*H[{3, 0}, {0, 0}, 1]^2)/448 - (341*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (1061*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (460*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (60871*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (21957*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (962*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (111541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (3783*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (18509*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (856*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (215*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-23977*Pi^4)/2449440 - 
   (181*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (187*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (1991*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (23735*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (999*H[{3, 0}, {0, 0}, 1]^2)/448 + (125*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (2369*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (95*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (43943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (22381*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1373*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (11461*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (303*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (968*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (197*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (187*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 0}, {6, 1}, {6, 0}, 1] -> (-13*Pi^4)/972 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (9*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (209*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 + 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] + 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {6, 1}, {6, 1}, 1] -> (-19*Pi^4)/5670 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (331*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (275*H[{3, 0}, {0, 0}, 1]^2)/
    224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (1907*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (4693*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (43*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (99*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 0}, {6, 1}, {0, 0}, 1] -> (-5*Pi^4)/729 - 
   (10*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    16, H[{0, 0}, {6, 0}, {0, 0}, {1, 0}, 1] -> 
  (11*Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {6, 0}, {0, 0}, {2, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {6, 0}, {0, 0}, {3, 0}, 1] -> (37*Pi^4)/10206 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (16*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (293*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (188*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (1634*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {0, 0}, {3, 1}, 1] -> (-37*Pi^4)/20412 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (293*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 0}, {0, 0}, {6, 0}, 1] -> (-11*Pi^4)/1458 - 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (13*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (536*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {0, 0}, {6, 1}, 1] -> (-11*Pi^4)/2916 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (13*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 0}, {0, 0}, {0, 0}, 1] -> 
  (-27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {6, 1}, {1, 0}, {1, 0}, 1] -> (239*Pi^4)/45360 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/84 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (135*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (839*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {1, 0}, {2, 0}, 1] -> (20*Pi^4)/1701 + 
   (41*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    21 - (167*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (341*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/448 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/21 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {1, 0}, {3, 0}, 1] -> (449*Pi^4)/816480 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (37*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (1607*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (359*H[{3, 0}, {0, 0}, 1]^2)/224 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (869*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (19*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {1, 0}, {3, 1}, 1] -> (8117*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - 
   (355*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (243*H[{3, 0}, {0, 0}, 1]^2)/448 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (2531*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2357*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (454*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {1, 0}, {6, 0}, 1] -> (-31*Pi^4)/5832 - 
   (187*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (11*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 1}, {1, 0}, {6, 1}, 1] -> 
  (127*Pi^4)/58320 - (35*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) + (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] + 2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 1}, {1, 0}, {0, 0}, 1] -> (1013*Pi^4)/90720 + 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (43*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {2, 0}, {1, 0}, 1] -> (-4561*Pi^4)/272160 - 
   (19*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/28 + (395*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (1319*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (317*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (489*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/14 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (3859*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (176237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (62079*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (9343*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (7089*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (191*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {2, 0}, {2, 0}, 1] -> (-59*Pi^4)/8505 - 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (53*Pi^2*H[{3, 0}, {0, 0}, 1])/504 - 
   (1403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (461*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (9*H[{3, 0}, {0, 0}, 1]^2)/
    28 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4480*Sqrt[3]) + 
   (2479*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (389*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2327*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (709*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {2, 0}, {3, 0}, 1] -> (1171*Pi^4)/816480 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (1147*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (53*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (6*H[{3, 0}, {0, 0}, 1]^2)/7 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (44231*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (779*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (136*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (487*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {2, 0}, {3, 1}, 1] -> (-977*Pi^4)/204120 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/112 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (11659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (457*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (92*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{0, 0}, {6, 1}, {2, 0}, {6, 0}, 1] -> (7*Pi^4)/2916 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (3*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 1}, {2, 0}, {6, 1}, 1] -> (-3797*Pi^4)/163296 - 
   (37*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/9 + 
   (199*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (185*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (669*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (841*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (1551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (185*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (111*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {2, 0}, {0, 0}, 1] -> (-5039*Pi^4)/163296 - 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    336 - (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (219*H[{3, 0}, {0, 0}, 1]^2)/112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {3, 0}, {1, 0}, 1] -> (419*Pi^4)/116640 + 
   (37*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    9 - (301*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (37*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (22301*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (2439*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (881*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (85*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 1}, {3, 0}, {2, 0}, 1] -> 
  -Pi^4/1458 + (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (197*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (193*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1249*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1728*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (9113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (2921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {3, 0}, {3, 0}, 1] -> (2363*Pi^4)/612360 + 
   (41*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (823*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1091*H[{3, 0}, {0, 0}, 1]^2)/1344 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (2075*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (1279*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(384*Sqrt[3]) - 
   (953*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1931*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (30211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1293*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {3, 0}, {3, 1}, 1] -> (2771*Pi^4)/2449440 + 
   (137*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (37*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (145*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (59*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (661*H[{3, 0}, {0, 0}, 1]^2)/1344 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (793*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (2489*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (2563*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (12689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (8333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (279*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (361*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (244*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {3, 0}, {6, 0}, 1] -> (509*Pi^4)/81648 + 
   (13*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (293*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (391*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (139*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (577*H[{3, 0}, {0, 0}, 1]^2)/448 + 
   (25*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (29*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (16451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (5139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (269*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {3, 0}, {6, 1}, 1] -> 
  -Pi^4/27216 + (43*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/36 - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - 
   (3467*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (529*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 2*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (1247*H[{3, 0}, {0, 0}, 1]^2)/448 + 
   (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 2*H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (125*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (46009*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (151*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (380*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {3, 0}, {0, 0}, 1] -> (-353*Pi^4)/68040 + 
   (19*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (97*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {3, 1}, {1, 0}, 1] -> (-521*Pi^4)/54432 - 
   (41*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + 
   (335*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (82*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (583*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (871*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1613*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (999*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (169*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {3, 1}, {2, 0}, 1] -> (43*Pi^4)/9072 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    21 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (1325*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (21509*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (7703*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (83*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (8887*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {3, 1}, {3, 0}, 1] -> (-883*Pi^4)/2449440 + 
   (137*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (37*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (113*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/
    224 + (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1585*H[{3, 0}, {0, 0}, 1]^2)/1344 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (3733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (563*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (149323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (21747*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1949*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (121099*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (4737*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (1441*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {3, 1}, {3, 1}, 1] -> (1213*Pi^4)/1224720 - 
   (389*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (253*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (1075*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1003*H[{3, 0}, {0, 0}, 1]^2)/1344 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (1663*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (1193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (17623*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (699*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3901*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (155*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {3, 1}, {6, 0}, 1] -> 
  Pi^4/19440 - (31*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/36 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/18 + 
   (137*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (773*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (73*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (73*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2293*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + 3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {3, 1}, {6, 1}, 1] -> (-779*Pi^4)/81648 - 
   (23*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (2381*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (457*H[{3, 0}, {0, 0}, 1]^2)/224 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (857*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (4939*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (2063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (1073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {3, 1}, {0, 0}, 1] -> (-671*Pi^4)/90720 - 
   (41*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/28 - (Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/126 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (86*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {6, 0}, {1, 0}, 1] -> (1399*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (79*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {6, 0}, {2, 0}, 1] -> 
  Pi^4/11664 + (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1901*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (221*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {6, 0}, {3, 0}, 1] -> (3811*Pi^4)/1224720 - 
   (13*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (667*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (5591*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (127*H[{3, 0}, {0, 0}, 1]^2)/448 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (5597*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2688*Sqrt[3]) - 
   (621*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3349*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (13987*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (561*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (18283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (529*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {6, 0}, {3, 1}, 1] -> (307*Pi^4)/306180 + 
   (389*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (10807*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (69*H[{3, 0}, {0, 0}, 1]^2)/448 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1265*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (983*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (151427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (2629*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (503*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(360*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (34541*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (1039*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(180*Sqrt[3]) - 
   (279*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (145*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {6, 0}, {6, 0}, 1] -> (53*Pi^4)/5832 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - (7*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (128*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 1}, {6, 0}, {6, 1}, 1] -> 
  (2803*Pi^4)/408240 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (629*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - (155*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{0, 0}, {6, 1}, {6, 0}, {0, 0}, 1] -> 
  (5*Pi^4)/729 + (10*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (9*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {6, 1}, {6, 1}, {1, 0}, 1] -> (-1889*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (277*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (17*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {6, 1}, {2, 0}, 1] -> (2029*Pi^4)/272160 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + 
   (Pi^2*H[{3, 1}, 1]^2)/18 - (647*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (121*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (155591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (17999*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {6, 1}, {3, 0}, 1] -> (-1901*Pi^4)/2449440 - 
   (341*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (109*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (1093*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (3523*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (501*H[{3, 0}, {0, 0}, 1]^2)/448 - 
   (109*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (659*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (1703*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (24443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) + 
   (15989*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (6437*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (151*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3239*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) - 
   (499*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (89*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (416*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {6, 1}, {3, 1}, 1] -> (4357*Pi^4)/2449440 + 
   (289*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (493*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (107*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/14 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (355*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(672*Sqrt[3]) + 
   (85*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (158*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (61*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(90*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (137*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (361*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{0, 0}, {6, 1}, {6, 1}, {6, 0}, 1] -> (-55*Pi^4)/11664 - 
   (5*Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1331*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (677*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (31*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {6, 1}, {6, 1}, {6, 1}, 1] -> 
  (-8*Pi^4)/5103 - (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (103*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (85*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{0, 0}, {6, 1}, {6, 1}, {0, 0}, 1] -> 
  -Pi^4/2592 - (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (9*H[{3, 0}, {0, 0}, 1]^2)/
    32, H[{0, 0}, {6, 1}, {0, 0}, {1, 0}, 1] -> 
  (-67*Pi^4)/12960 + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/32 - (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/
    16, H[{0, 0}, {6, 1}, {0, 0}, {2, 0}, 1] -> 
  (59*Pi^4)/7776 + (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   6*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{0, 0}, {6, 1}, {0, 0}, {3, 0}, 1] -> (37*Pi^4)/20412 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (293*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {0, 0}, {3, 1}, 1] -> (3979*Pi^4)/816480 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (127*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/28 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (94*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (817*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {0, 0}, {6, 0}, 1] -> (-11*Pi^4)/2916 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (13*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {6, 1}, {0, 0}, {6, 1}, 1] -> (-9313*Pi^4)/816480 - 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (65*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (85*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (155*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {6, 1}, {0, 0}, {0, 0}, 1] -> (-91*Pi^4)/6480 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {1, 0}, {1, 0}, 1] -> Pi^4/360, 
 H[{0, 0}, {0, 0}, {1, 0}, {2, 0}, 1] -> (19*Pi^4)/1440 + 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {0, 0}, {1, 0}, {3, 0}, 1] -> (-2*Pi^4)/729 - 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {1, 0}, {3, 1}, 1] -> (361*Pi^4)/29160 + 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {0, 0}, {1, 0}, {6, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {0, 0}, {1, 0}, {6, 1}, 1] -> (233*Pi^4)/38880 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (27*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {1, 0}, {0, 0}, 1] -> Pi^4/30, 
 H[{0, 0}, {0, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/90 - (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {0, 0}, {2, 0}, {2, 0}, 1] -> 
  -Pi^4/240 - H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{0, 0}, {0, 0}, {2, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{0, 0}, {0, 0}, {2, 0}, {3, 1}, 1] -> (169*Pi^4)/45360 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (95*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/28 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 - 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {2, 0}, {6, 0}, 1] -> (-5*Pi^4)/1458 - 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{0, 0}, {0, 0}, {2, 0}, {6, 1}, 1] -> (-4019*Pi^4)/204120 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/56 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (739*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 + 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {2, 0}, {0, 0}, 1] -> (-7*Pi^4)/240, 
 H[{0, 0}, {0, 0}, {3, 0}, {1, 0}, 1] -> 
  (2*Pi^4)/729 + (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + 2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {3, 0}, {2, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/1458 - H[{3, 0}, {0, 0}, 1]^2/2 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^4/324 + (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {0, 0}, {3, 0}, {6, 0}, 1] -> 
  -Pi^4/8505 - (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    126 - (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (75*H[{3, 0}, {0, 0}, 1]^2)/112 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {3, 0}, {6, 1}, 1] -> 
  -Pi^4/17010 + (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (75*H[{3, 0}, {0, 0}, 1]^2)/224 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {3, 1}, {1, 0}, 1] -> (-349*Pi^4)/29160 - 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {0, 0}, {3, 1}, {2, 0}, 1] -> (31*Pi^4)/30240 + 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (109*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/56 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 + 
   (437*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {3, 1}, {3, 0}, 1] -> (-7*Pi^4)/2916 - 
   (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {0, 0}, {3, 1}, {3, 1}, 1] -> (-29*Pi^4)/29160 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {0, 0}, {3, 1}, {6, 0}, 1] -> 
  Pi^4/17010 - (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (75*H[{3, 0}, {0, 0}, 1]^2)/224 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {3, 1}, {6, 1}, 1] -> (-349*Pi^4)/54432 - 
   (65*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/112 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {3, 1}, {0, 0}, 1] -> (-13*Pi^4)/810 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2, 
 H[{0, 0}, {0, 0}, {6, 0}, {1, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{0, 0}, {0, 0}, {6, 0}, {2, 0}, 1] -> (5*Pi^4)/1458 + 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {6, 0}, {3, 0}, 1] -> (689*Pi^4)/204120 + 
   (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/378 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/112 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (2129*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 0}, {3, 1}, 1] -> (-689*Pi^4)/408240 + 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/224 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 0}, {6, 0}, 1] -> (11*Pi^4)/2916 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - H[{3, 0}, {0, 0}, 1]^2/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {6, 0}, {6, 1}, 1] -> (31*Pi^4)/5832 + 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   H[{3, 0}, {0, 0}, 1]^2/8 - (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {0, 0}, {6, 0}, {0, 0}, 1] -> 
  (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {0, 0}, {6, 1}, {1, 0}, 1] -> (-17*Pi^4)/5670 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 1}, {2, 0}, 1] -> (475*Pi^4)/40824 + 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    336 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (97*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(20*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (134*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 1}, {3, 0}, 1] -> (689*Pi^4)/408240 - 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/224 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 1}, {3, 1}, 1] -> (103*Pi^4)/81648 + 
   (115*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (59*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/14 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (1061*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (169*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 1}, {6, 0}, 1] -> 
  -Pi^4/648 - (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - H[{3, 0}, {0, 0}, 1]^2/8 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{0, 0}, {0, 0}, {6, 1}, {6, 1}, 1] -> 
  (2407*Pi^4)/408240 + (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (155*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{0, 0}, {0, 0}, {6, 1}, {0, 0}, 1] -> (91*Pi^4)/6480 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {0, 0}, {1, 0}, 1] -> -Pi^4/90, 
 H[{0, 0}, {0, 0}, {0, 0}, {2, 0}, 1] -> (7*Pi^4)/720, 
 H[{0, 0}, {0, 0}, {0, 0}, {3, 0}, 1] -> 
  -H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{0, 0}, {0, 0}, {0, 0}, {3, 1}, 1] -> (13*Pi^4)/2430 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{0, 0}, {0, 0}, {0, 0}, {6, 0}, 1] -> 
  (-9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{0, 0}, {0, 0}, {0, 0}, {6, 1}, 1] -> (-91*Pi^4)/19440 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{0, 0}, {0, 0}, {0, 0}, {0, 0}, 1] -> 0, 
 H[{1, 0}, {0, 0}, {0, 0}, {0, 0}, 1] -> Pi^4/90, 
 H[{1, 0}, {1, 0}, {0, 0}, {0, 0}, 1] -> 
  -Pi^4/360 + H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {1, 0}, {0, 0}, 1] -> 
  -Pi^4/360 + (Pi^2*H[{1, 0}, 1]^2)/12 - 
   H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{1, 0}, {1, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/1440 - (Pi^2*H[{1, 0}, 1]^2)/24 + H[{1, 0}, 1]^4/24 + 
   (H[{1, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3, 
 H[{2, 0}, {0, 0}, {0, 0}, {0, 0}, 1] -> (-7*Pi^4)/720, 
 H[{2, 0}, {0, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^4/480 - 2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {0, 0}, {1, 0}, {1, 0}, 1] -> (-7*Pi^4)/1440 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {0, 0}, {0, 0}, 1] -> (-19*Pi^4)/1440 - 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{2, 0}, {1, 0}, {0, 0}, {1, 0}, 1] -> (7*Pi^4)/1440 - 
   (Pi^2*H[{2, 0}, 1]^2)/12 - (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {1, 0}, {0, 0}, 1] -> (-7*Pi^4)/720 - 
   (Pi^2*H[{2, 0}, 1]^2)/24 - (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {1, 0}, {1, 0}, 1] -> 
  -Pi^4/120 - (Pi^2*H[{2, 0}, 1]^2)/24 + H[{2, 0}, 1]^4/24 - 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {1, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/360 - (Pi^2*H[{2, 0}, 1]^2)/24 - 
   H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1], 
 H[{2, 0}, {2, 0}, {0, 0}, {0, 0}, 1] -> 
  Pi^4/240 + (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {2, 0}, {0, 0}, {1, 0}, 1] -> 
  -Pi^4/480 - (Pi^2*H[{2, 0}, 1]^2)/12 - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{2, 0}, {2, 0}, {1, 0}, {0, 0}, 1] -> (11*Pi^4)/1440 - 
   (Pi^2*H[{2, 0}, 1]^2)/24 + (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    8 - H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1], 
 H[{2, 0}, {2, 0}, {1, 0}, {1, 0}, 1] -> Pi^4/720 + H[{2, 0}, 1]^4/24 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{2, 0}, {2, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/360 - (Pi^2*H[{2, 0}, 1]^2)/24 - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{2, 0}, {2, 0}, {2, 0}, {1, 0}, 1] -> -Pi^4/360 + H[{2, 0}, 1]^4/24 - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/2, 
 H[{3, 0}, {0, 0}, {0, 0}, {1, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {0, 0}, {2, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {0, 0}, {1, 0}, {0, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/18 + 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{3, 0}, {0, 0}, {2, 0}, {0, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{3, 0}, {1, 0}, {0, 0}, {0, 0}, 1] -> 
  (2*Pi^4)/729 + (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1], 
 H[{3, 0}, {1, 0}, {0, 0}, {1, 0}, 1] -> (-11*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {0, 0}, {2, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (8*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + 3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {1, 0}, {1, 0}, 1] -> (23*Pi^4)/17496 + 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1], H[{3, 0}, {1, 0}, {1, 0}, {2, 0}, 1] -> 
  (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (275*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{3, 0}, {1, 0}, {2, 0}, {0, 0}, 1] -> (Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, 1]^2/8 - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 0}, {1, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/1296 + (25*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (361*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/8 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{3, 0}, {1, 0}, {2, 0}, {2, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 0}, {2, 0}, {0, 0}, {0, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{3, 0}, {2, 0}, {1, 0}, {0, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) - 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]^2/8 + H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, {1, 0}, 1] -> 
  (-11*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, 1]^2/8 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (53*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(42*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{3, 0}, {2, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/6 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/32 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{3, 0}, {2, 0}, {2, 0}, {1, 0}, 1] -> 
  Pi^4/1944 + (5*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/108 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (3*Pi^2*H[{3, 0}, {0, 0}, 1])/32 - 
   (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 0}, {2, 0}, {2, 0}, {2, 0}, 1] -> 
  -(Pi^2*H[{3, 0}, {0, 0}, 1])/96 - (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{3, 0}, {2, 0}, {3, 0}, {0, 0}, 1] -> (-2*Pi^4)/243 + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 + (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/
    (210*Sqrt[3]) - (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {2, 0}, {3, 0}, {1, 0}, 1] -> (-11*Pi^4)/1944 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (5461*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {3, 0}, {0, 0}, {0, 0}, 1] -> 
  Pi^4/162 + H[{3, 0}, {0, 0}, 1]^2/2 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {3, 0}, {0, 0}, {1, 0}, 1] -> (7*Pi^4)/2916 - 
   H[{3, 0}, {0, 0}, 1]^2/4 - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {0, 0}, {2, 0}, 1] -> (25*Pi^4)/5832 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + H[{3, 0}, {0, 0}, 1]^2/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^4/486 - (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (2993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 0}, {3, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/729 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/108 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {1, 0}, {2, 0}, 1] -> (19*Pi^4)/5832 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 0}, {3, 0}, {2, 0}, {2, 0}, 1] -> (979*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (53*H[{3, 0}, {0, 0}, 1]^2)/56 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (2669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (3137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (1679*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (2117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) - 
   (253*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 0}, {3, 0}, {3, 0}, {0, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24, 
 H[{3, 0}, {3, 0}, {3, 0}, {1, 0}, 1] -> 
  Pi^4/8748 + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/216 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24, 
 H[{3, 0}, {3, 0}, {3, 0}, {2, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{3, 1}, {0, 0}, {0, 0}, {0, 0}, 1] -> (-13*Pi^4)/2430 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {0, 0}, {0, 0}, {1, 0}, 1] -> (7*Pi^4)/1944 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + (9*H[{3, 0}, {0, 0}, 1]^2)/8 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(140*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/2, 
 H[{3, 1}, {0, 0}, {0, 0}, {2, 0}, 1] -> (-727*Pi^4)/136080 - 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (3*Pi^2*H[{3, 0}, {0, 0}, 1])/112 - 
   (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (97*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (3*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {0, 0}, {3, 0}, 1] -> (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/4 + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {0, 0}, {1, 0}, {0, 0}, 1] -> (-31*Pi^4)/9720 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (21*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {1, 0}, {1, 0}, 1] -> (-23*Pi^4)/4860 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (271*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(280*Sqrt[3]) - 
   (137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {0, 0}, {1, 0}, {2, 0}, 1] -> (-913*Pi^4)/136080 - 
   (13*Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    42 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (207*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (25933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (9661*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {1, 0}, {3, 0}, 1] -> (-13*Pi^4)/2916 - 
   (7*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] - H[{3, 0}, {0, 0}, 1]^2/4 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (221*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) - 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {0, 0}, {2, 0}, {0, 0}, 1] -> (2747*Pi^4)/272160 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 - (65*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (345*H[{3, 0}, {0, 0}, 1]^2)/112 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (52*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (3*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {2, 0}, {1, 0}, 1] -> (3673*Pi^4)/272160 + 
   (31*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (1243*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (661*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (309*H[{3, 0}, {0, 0}, 1]^2)/112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (7475*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8064*Sqrt[3]) + 
   (481*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/896 - 
   (157*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) + 
   (1429*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (739*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (11827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5600*Sqrt[3]) - 
   (3809*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (4547*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 - 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {0, 0}, {2, 0}, {2, 0}, 1] -> (17*Pi^4)/9072 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (303*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (319*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {0, 0}, {2, 0}, {3, 0}, 1] -> (11*Pi^4)/1944 + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (1157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  Pi^4/1458 - (8*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + H[{3, 0}, {0, 0}, 1]^2/4 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 1}, {0, 0}, {3, 0}, {1, 0}, 1] -> 
  (11*Pi^4)/2916 - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/6 - (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) - H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1] - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (881*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {0, 0}, {3, 0}, {2, 0}, 1] -> 
  Pi^4/5832 + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (11*H[{3, 0}, {0, 0}, 1]^2)/
    32 + (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (2293*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {0, 0}, {3, 0}, {3, 0}, 1] -> 
  Pi^4/486 - (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {0, 0}, {0, 0}, 1] -> (-361*Pi^4)/29160 - 
   (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {0, 0}, {1, 0}, 1] -> (13*Pi^4)/4860 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/12 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (1027*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {1, 0}, {0, 0}, {2, 0}, 1] -> (-209*Pi^4)/45360 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (81*H[{3, 0}, {0, 0}, 1]^2)/112 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (841*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (809*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (79*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {1, 0}, {0, 0}, {3, 0}, 1] -> 
  Pi^4/729 + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/
    108 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (3*H[{3, 0}, {0, 0}, 1]^2)/4 - 
   (40*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {1, 0}, {0, 0}, 1] -> (-14*Pi^4)/1215 - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (1013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {1, 0}, {1, 0}, {1, 0}, 1] -> (-293*Pi^4)/29160 - 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/27 + 
   H[{3, 1}, 1]^4/24 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (9*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (2201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {1, 0}, {1, 0}, {3, 0}, 1] -> (-5*Pi^4)/3888 + 
   H[{3, 0}, {0, 0}, 1]^2/4 - (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1], H[{3, 1}, {1, 0}, {2, 0}, {0, 0}, 1] -> 
  (143*Pi^4)/30240 + (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (Pi^2*H[{3, 1}, 1]^2)/24 - (323*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (137*H[{3, 0}, {0, 0}, 1]^2)/112 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (97*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (179*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (173*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {1, 0}, {2, 0}, {1, 0}, 1] -> (587*Pi^4)/272160 - 
   (185*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (144*Sqrt[3]) + (20*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - 
   (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (1439*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (375*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (941*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (37*H[{3, 0}, {0, 0}, 1]^2)/56 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (1129*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (116041*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1707*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (8611*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (6653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (1261*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(80*Sqrt[3]) - 
   (2729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1], 
 H[{3, 1}, {1, 0}, {2, 0}, {2, 0}, 1] -> (23*Pi^4)/27216 + 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 - (113*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (317*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/2 + 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (4931*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) + 
   (1857*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (221*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {1, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^4/216 - (Pi^3*H[{2, 0}, 1])/(24*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (349*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (11*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (6*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1123*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (1669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) - 
   (223*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 1}, {1, 0}, {3, 0}, {0, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {3, 0}, {1, 0}, 1] -> 
  -Pi^4/3888 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2/4 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {3, 0}, {2, 0}, 1] -> (5*Pi^4)/11664 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 - 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (331*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (19*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (57737*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (7193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{3, 1}, {1, 0}, {3, 0}, {3, 0}, 1] -> (-23*Pi^4)/23328 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {1, 0}, {3, 1}, {0, 0}, 1] -> 
  -Pi^4/135 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {2, 0}, {0, 0}, {0, 0}, 1] -> (-169*Pi^4)/45360 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (95*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/28 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (3*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 + 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {0, 0}, {1, 0}, 1] -> (-79*Pi^4)/17010 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (213*H[{3, 0}, {0, 0}, 1]^2)/224 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (2531*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (6639*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (4259*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (1553*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {2, 0}, {0, 0}, {2, 0}, 1] -> (-121*Pi^4)/27216 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (607*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (349*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (555*H[{3, 0}, {0, 0}, 1]^2)/448 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (361*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (73*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(40*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {0, 0}, {3, 0}, 1] -> (-11*Pi^4)/1944 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (1157*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{3, 1}, {2, 0}, {1, 0}, {0, 0}, 1] -> 
  (-367*Pi^4)/136080 - (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (533*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (263*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (173*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1] + 
   (919*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(160*Sqrt[3]) - 
   (2551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (425*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (173*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {2, 0}, {1, 0}, {1, 0}, 1] -> (-151*Pi^4)/136080 + 
   (1433*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (1553*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (551*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (265*H[{3, 0}, {0, 0}, 1]^2)/224 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (559*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (2773*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (92563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (6677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{3, 1}, {2, 0}, {1, 0}, {3, 0}, 1] -> (-17*Pi^4)/3888 + 
   (19*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (991*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + H[{3, 0}, {0, 0}, 1]^2/64 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (24*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (4687*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1033*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{3, 1}, {2, 0}, {2, 0}, {0, 0}, 1] -> 
  (991*Pi^4)/272160 + (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 + (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (407*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (14*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {2, 0}, {1, 0}, 1] -> (193*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(6048*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/504 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    8 - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (11*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (5941*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) - (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (535*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (165*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{3, 1}, {2, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^4/1944 + (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/96 - H[{3, 0}, {0, 0}, 1]^2/64 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{3, 1}, {2, 0}, {3, 0}, {0, 0}, 1] -> 
  Pi^4/243 + (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (893*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{3, 1}, {2, 0}, {3, 0}, {1, 0}, 1] -> (19*Pi^4)/3888 + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (9*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (401*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {2, 0}, {3, 0}, {2, 0}, 1] -> 
  (839*Pi^4)/136080 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (73*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (431*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (133487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (18143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (653*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (10207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {3, 0}, {3, 0}, 1] -> (5*Pi^4)/20412 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/112 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (9529*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {2, 0}, {3, 1}, {0, 0}, 1] -> (-151*Pi^4)/34020 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 0}, {0, 0}, 1])/63 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (79*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (7007*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (5661*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (271*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {2, 0}, {3, 1}, {1, 0}, 1] -> (-53*Pi^4)/7560 - 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (107*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (Pi^2*H[{3, 1}, 1]^2)/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/2 + (25*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (279*H[{3, 0}, {0, 0}, 1]^2)/448 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (82*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (271*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {3, 0}, {0, 0}, {0, 0}, 1] -> 
  -Pi^4/324 + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - H[{3, 0}, {0, 0}, 1]^2/4 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 0}, {0, 0}, {1, 0}, 1] -> (-7*Pi^4)/5832 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/9 + H[{3, 0}, {0, 0}, 1]^2/8 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 0}, {0, 0}, {3, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (25*H[{3, 0}, {0, 0}, 1]^2)/16 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) - (2818*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1], 
 H[{3, 1}, {3, 0}, {1, 0}, {0, 0}, 1] -> (-5*Pi^4)/1944 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 0}, {1, 0}, {1, 0}, 1] -> 
  -Pi^4/1296 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/216 - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (139*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 0}, {1, 0}, {2, 0}, 1] -> (-19*Pi^4)/11664 - 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 - 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (14797*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (2033*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 0}, {1, 0}, {3, 0}, 1] -> (-49*Pi^4)/116640 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (25*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1], H[{3, 1}, {3, 0}, {2, 0}, {1, 0}, 1] -> 
  (25*Pi^4)/23328 + (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) + 
   (127*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/64 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (577*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {3, 0}, {2, 0}, {3, 0}, 1] -> 
  (2323*Pi^4)/408240 + (8*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (459*H[{3, 0}, {0, 0}, 1]^2)/560 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (96*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{3, 1}, {3, 0}, {3, 0}, {0, 0}, 1] -> 
  Pi^4/972 + (Pi^2*H[{3, 0}, {0, 0}, 1])/216 - (11*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 0}, {3, 0}, {1, 0}, 1] -> (751*Pi^4)/349920 - 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{3, 1}, {3, 0}, {3, 0}, {2, 0}, 1] -> (-47*Pi^4)/29160 - 
   (Pi^3*H[{2, 0}, 1])/(405*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    135 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (13*H[{3, 0}, {0, 0}, 1]^2)/160 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(540*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (4799*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (1693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (93*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (703*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/5 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5, 
 H[{3, 1}, {3, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/34992 - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48, 
 H[{3, 1}, {3, 0}, {3, 1}, {0, 0}, 1] -> (-25*Pi^4)/5832 - 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/16 + (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) - 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 0}, {3, 1}, {1, 0}, 1] -> (-259*Pi^4)/69984 - 
   (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/216 + 
   (95*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (5*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (467*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) - 
   (63*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 0}, {3, 1}, {2, 0}, 1] -> (-41*Pi^4)/90720 - 
   (Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 - 
   (1433*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (321*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (151*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (781*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (61*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(240*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (107*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {3, 1}, {0, 0}, {0, 0}, 1] -> 
  (29*Pi^4)/29160 - (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) - (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {0, 0}, {1, 0}, 1] -> 
  -Pi^4/14580 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/12 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + H[{3, 0}, {0, 0}, 1]^2/8 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {0, 0}, {2, 0}, 1] -> (-13*Pi^4)/81648 - 
   (5*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/84 + (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (493*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (527*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (337*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (98513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (11657*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (706*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {3, 1}, {0, 0}, {3, 0}, 1] -> 
  Pi^4/486 + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (2*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/16 + (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (967*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(525*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {1, 0}, {0, 0}, 1] -> (41*Pi^4)/7290 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/108 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {1, 0}, {1, 0}, 1] -> (83*Pi^4)/29160 - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + H[{3, 1}, 1]^4/24 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {1, 0}, {2, 0}, 1] -> (-13*Pi^4)/81648 - 
   (515*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    12 + (169*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (499*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2/2 - 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2281*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (98513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (11657*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (671*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {3, 1}, {1, 0}, {3, 0}, 1] -> (13*Pi^4)/23328 - 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (9*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {2, 0}, {0, 0}, 1] -> (163*Pi^4)/136080 + 
   (17*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (Pi^2*H[{3, 1}, 1]^2)/24 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/63 + (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (56*Sqrt[3]) - (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (615*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (85*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (136*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25*Sqrt[3]) + 
   (5269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (137*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (479*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{3, 1}, {3, 1}, {2, 0}, {1, 0}, 1] -> (211*Pi^4)/90720 + 
   (2161*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + (157*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1512 - (Pi^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (6379*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (6463*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (259*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (1647*H[{3, 0}, {0, 0}, 1]^2)/896 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (1313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (9295*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (74119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1543*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (481*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4573*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (377*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (37*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   (75*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {2, 0}, {2, 0}, 1] -> (1583*Pi^4)/272160 + 
   (247*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (155*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1512 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (883*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (569*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (913*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (247*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1008*Sqrt[3]) - (2557*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (52537*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (1099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (37*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (8537*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (149*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   (143*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{3, 1}, {3, 1}, {2, 0}, {3, 0}, 1] -> (-11*Pi^4)/40824 + 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) - (25*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (45*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (461*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (1181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{3, 1}, {3, 1}, {3, 0}, {0, 0}, 1] -> 
  Pi^4/486 - (7*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + (7*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (20*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (1177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4, 
 H[{3, 1}, {3, 1}, {3, 0}, {1, 0}, 1] -> (281*Pi^4)/174960 + 
   (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {3, 0}, {2, 0}, 1] -> (79*Pi^4)/81648 + 
   (17*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (367*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (17*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (487*H[{3, 0}, {0, 0}, 1]^2)/1120 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (857*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (7547*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/224 - 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (41*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(60*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (155*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{3, 1}, {3, 1}, {3, 0}, {3, 0}, 1] -> 
  (19*Pi^4)/174960 - (3*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/48 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{3, 1}, {3, 1}, {3, 1}, {0, 0}, 1] -> 
  Pi^4/1215 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) - (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, 1]^2/4 + (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 1}, {3, 1}, {1, 0}, 1] -> (-137*Pi^4)/349920 + 
   H[{3, 1}, 1]^4/24 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{3, 1}, {3, 1}, {3, 1}, {2, 0}, 1] -> (-829*Pi^4)/816480 - 
   (935*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    168 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + (2453*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 - (2851*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (857*H[{3, 0}, {0, 0}, 1]^2)/896 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5021*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (1171*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (62*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (43*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (223*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/24 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{3, 1}, {3, 1}, {3, 1}, {3, 0}, 1] -> 
  (-49*Pi^4)/87480 + (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) + (617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4, 
 H[{6, 0}, {0, 0}, {0, 0}, {0, 0}, 1] -> 
  (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{6, 0}, {0, 0}, {0, 0}, {1, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4, 
 H[{6, 0}, {0, 0}, {0, 0}, {2, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 0}, {0, 0}, {0, 0}, {3, 0}, 1] -> (167*Pi^4)/40824 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (2*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (223*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(700*Sqrt[3]) - 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (152*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (284*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (128*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {0, 0}, {3, 1}, 1] -> (-167*Pi^4)/81648 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (223*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {1, 0}, {0, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{6, 0}, {0, 0}, {1, 0}, {1, 0}, 1] -> (5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {1, 0}, {2, 0}, 1] -> 
  (-2*Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1], H[{6, 0}, {0, 0}, {1, 0}, {3, 0}, 1] -> 
  (131*Pi^4)/11664 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/216 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (233*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {0, 0}, {1, 0}, {3, 1}, 1] -> 
  (-3673*Pi^4)/272160 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (11*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (977*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (135*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (1823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (757*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {0, 0}, {2, 0}, {0, 0}, 1] -> (-17*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (16*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 0}, {0, 0}, {2, 0}, {1, 0}, 1] -> (2*Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) - 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/36 + (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {2, 0}, {2, 0}, 1] -> (5*Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{6, 0}, {0, 0}, {2, 0}, {3, 0}, 1] -> (-269*Pi^4)/27216 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]^2/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (271*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (104*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {2, 0}, {3, 1}, 1] -> (8159*Pi^4)/816480 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (653*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/56 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (907*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (11617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (265*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (75*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 0}, {0, 0}, 1] -> (-241*Pi^4)/20412 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (4*Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (153*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(35*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (724*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (26*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {3, 0}, {1, 0}, 1] -> (-103*Pi^4)/5832 + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/8 - (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (207*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (338*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 0}, {2, 0}, 1] -> (19*Pi^4)/1701 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/112 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (1703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (218*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (26*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {3, 0}, {3, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/16 + 
   (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {0, 0}, {3, 0}, {3, 1}, 1] -> (-5*Pi^4)/2916 + 
   (49*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/64 - (815*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (1177*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 1}, {0, 0}, 1] -> (241*Pi^4)/40824 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (179*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (153*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (275*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (362*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {0, 0}, {3, 1}, {1, 0}, 1] -> (379*Pi^4)/22680 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (11*Pi^3*H[{3, 1}, 1])/
    (216*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (466*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 1}, {2, 0}, 1] -> (-2327*Pi^4)/204120 - 
   (25*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (871*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (423*H[{3, 0}, {0, 0}, 1]^2)/224 + (25*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (362*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(105*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (347*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/7 + 
   (161*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (50*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {0, 0}, {3, 1}, {3, 0}, 1] -> (5*Pi^4)/11664 - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/64 - (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (3251*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (391*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {0, 0}, {3, 1}, {3, 1}, 1] -> 
  (5*Pi^4)/7776 - (161*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   H[{3, 0}, {0, 0}, 1]^2/64 + (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (1427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {0, 0}, {0, 0}, 1] -> -(Pi^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8, 
 H[{6, 0}, {1, 0}, {0, 0}, {1, 0}, 1] -> (-31*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {0, 0}, {2, 0}, 1] -> (5*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {0, 0}, {3, 0}, 1] -> (-13*Pi^4)/11664 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (7*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {1, 0}, {0, 0}, {3, 1}, 1] -> 
  (-1223*Pi^4)/272160 - (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (3*Pi^2*H[{3, 0}, {0, 0}, 1])/
    112 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (6077*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {1, 0}, {0, 0}, 1] -> (7*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {1, 0}, {1, 0}, 1] -> (7*Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (9*Pi^2*H[{3, 0}, {0, 0}, 1])/32 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (12*Sqrt[3]) - (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {1, 0}, {3, 0}, 1] -> (1595*Pi^4)/81648 + 
   (9377*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (857*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (71*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (2365*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (3203*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/210 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (7159*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (70183*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (821*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1067*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (561*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (274*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (831*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {1, 0}, {3, 1}, 1] -> (-8777*Pi^4)/816480 + 
   (2683*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (13*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (1367*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (1129*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (3133*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (1153*H[{3, 0}, {0, 0}, 1]^2)/4480 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1801*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (15427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (211*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(280*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1049*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (403*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 0}, {1, 0}, {2, 0}, {0, 0}, 1] -> 
  (Pi^3*H[{2, 0}, 1])/(12*Sqrt[3]) - (53*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/486 + (Pi^3*H[{2, 0}, 1])/(18*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (131*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (41*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {2, 0}, {2, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(72*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (71*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, 1]^2/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{6, 0}, {1, 0}, {2, 0}, {3, 0}, 1] -> 
  Pi^4/1458 + (23*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/15 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (1327*H[{3, 0}, {0, 0}, 1]^2)/480 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/45 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3 - 
   (85331*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (11099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (16973*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] + 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/5 + 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {2, 0}, {3, 1}, 1] -> (-67*Pi^4)/408240 + 
   (79*Pi^3*H[{2, 0}, 1])/(3780*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (74*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 - (401*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (14599*H[{3, 0}, {0, 0}, 1]^2)/6720 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 - (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5533*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (629*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (14333*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) - 
   (11099*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (13973*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1543*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (1009*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (341*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (260*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (151*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (148*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 0}, {0, 0}, 1] -> (-29*Pi^4)/3888 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (727*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {1, 0}, {3, 0}, {1, 0}, 1] -> 
  (-1777*Pi^4)/81648 - (11057*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - 
   (379*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (211*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (2393*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (4183*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (481*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 - (734*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) + (223*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (183277*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (1699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (839*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (449*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 0}, {2, 0}, 1] -> (-95*Pi^4)/11664 - 
   (11*Pi^3*H[{2, 0}, 1])/(540*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/45 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + (3*Pi^2*H[{3, 0}, {0, 0}, 1])/16 - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (77*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (369*H[{3, 0}, {0, 0}, 1]^2)/160 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/270 - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (443*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (91039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (13211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5983*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11929*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1201*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - H[{3, 0}, {0, 0}, {0, 0}, 
    {0, 0}, 1] - 2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {3, 0}, {3, 0}, 1] -> 
  Pi^4/2187 - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (5*H[{3, 0}, {0, 0}, 1]^2)/96 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {1, 0}, {3, 0}, {3, 1}, 1] -> (-257*Pi^4)/2449440 + 
   (1039*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (293*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (Pi^2*H[{3, 1}, 1]^2)/18 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (253*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (1817*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (263*H[{3, 0}, {0, 0}, 1]^2)/
    280 - (211*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (7981*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (3809*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (40079*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) - 
   (2689*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2389*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (24161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (753*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (122*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (175*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (37*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 1}, {0, 0}, 1] -> (9409*Pi^4)/816480 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (4*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (191*H[{3, 0}, {0, 0}, 1]^2)/224 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (1123*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (473*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (719*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 1}, {1, 0}, 1] -> (6541*Pi^4)/408240 - 
   (6043*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (43*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/840 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (4349*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (3077*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (137*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (1433*H[{3, 0}, {0, 0}, 1]^2)/4480 - (841*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 + (3707*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (71*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (24361*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3600*Sqrt[3]) + 
   (1699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (6799*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (124*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (292*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (65*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (841*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 1}, {2, 0}, 1] -> (31*Pi^4)/7776 + 
   (91*Pi^3*H[{2, 0}, 1])/(1080*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    45 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (13*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (347*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (329*H[{3, 0}, {0, 0}, 1]^2)/320 - (43*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    40 - (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (133739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (13911*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (32069*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (3361*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 1}, {3, 0}, 1] -> (-11153*Pi^4)/2449440 - 
   (2719*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (1159*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (41*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (1667*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (667*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (13037*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (3809*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (125*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (3479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(450*Sqrt[3]) + 
   (352*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (631*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (643*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(225*Sqrt[3]) - 
   (128*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (122*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (129*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {1, 0}, {3, 1}, {3, 1}, 1] -> (97*Pi^4)/34992 - 
   (Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (53*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/81 + 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 - (55*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (23*H[{3, 0}, {0, 0}, 1]^2)/
    192 + (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (73*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (5681*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1049*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2521*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/16 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {1, 0}, {6, 0}, {0, 0}, 1] -> (19*Pi^4)/2916 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (7*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {0, 0}, {0, 0}, 1] -> (5*Pi^4)/1458 + 
   (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16, 
 H[{6, 0}, {2, 0}, {0, 0}, {1, 0}, 1] -> 
  -Pi^4/486 - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 0}, {2, 0}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/486 + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (41*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (24*Sqrt[3]) - H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1], 
 H[{6, 0}, {2, 0}, {0, 0}, {3, 0}, 1] -> (-157*Pi^4)/27216 - 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (149*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (237*H[{3, 0}, {0, 0}, 1]^2)/112 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (36431*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 + 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (3011*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (152*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {2, 0}, {0, 0}, {3, 1}, 1] -> (7109*Pi^4)/816480 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (85*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (31*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (221*H[{3, 0}, {0, 0}, 1]^2)/112 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (32131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (703*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (937*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (76*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {1, 0}, {0, 0}, 1] -> 
  Pi^4/324 - (Pi^3*H[{2, 0}, 1])/(12*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (Pi^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1], H[{6, 0}, {2, 0}, {1, 0}, {1, 0}, 1] -> 
  Pi^4/243 - (5*Pi^3*H[{2, 0}, 1])/(54*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (233*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {2, 0}, {1, 0}, {2, 0}, 1] -> 
  Pi^4/972 - (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, 1]^2/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (23*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {1, 0}, {3, 0}, 1] -> (19*Pi^4)/5103 - 
   (151*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (545*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (1829*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (73*H[{3, 0}, {0, 0}, 1]^2)/
    168 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2 + 
   (937*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (335*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (163733*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (17341*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5021*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {1, 0}, {3, 1}, 1] -> (-73*Pi^4)/20412 - 
   (9803*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi^2*H[{3, 1}, 1]^2)/36 + (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (1343*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (967*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (229*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (125*H[{3, 0}, {0, 0}, 1]^2)/
    672 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/42 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (2833*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (641*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (156173*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (18181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (11*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1], H[{6, 0}, {2, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/648 - (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (4*Sqrt[3]) + (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1], H[{6, 0}, {2, 0}, {2, 0}, {1, 0}, 1] -> 
  -Pi^4/486 + (13*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/54 - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(4*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 0}, {2, 0}, {2, 0}, {2, 0}, 1] -> (11*Pi^4)/34992 + 
   (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/54 + 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2, 
 H[{6, 0}, {2, 0}, {2, 0}, {3, 0}, 1] -> (-11*Pi^4)/1296 - 
   (1129*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (289*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1620 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (485*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (10*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (739*H[{3, 0}, {0, 0}, 1]^2)/
    320 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/90 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (2429*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (6480*Sqrt[3]) + (791*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (319*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (167*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (28*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {2, 0}, {3, 1}, 1] -> (8041*Pi^4)/816480 + 
   (32203*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (3553*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (5435*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (11323*H[{3, 0}, {0, 0}, 1]^2)/4480 - (44*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (24139*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (4229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (4163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6300*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (1325*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (82*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (71*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (397*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (307*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (264*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 0}, {0, 0}, 1] -> (485*Pi^4)/81648 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (3*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (47*H[{3, 0}, {0, 0}, 1]^2)/28 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (14167*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (286*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (104*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (104*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {2, 0}, {3, 0}, {1, 0}, 1] -> (-23*Pi^4)/3024 - 
   (463*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    420 + (Pi^2*H[{3, 1}, 1]^2)/18 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (1427*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (3175*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (2253*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (479*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   H[{3, 1}, {2, 0}, 1]^2/2 - (4127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (3617*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (97*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (60103*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (198*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (193*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (479*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (106*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (32*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (113*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 0}, {2, 0}, 1] -> (395*Pi^4)/27216 + 
   (391*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (248*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - (599*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (907*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (2433*H[{3, 0}, {0, 0}, 1]^2)/1120 - (251*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 + (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (1207*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2520*Sqrt[3]) - (307*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (147599*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (751*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4163*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (59*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(20*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (328*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (717*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (102*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (286*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {2, 0}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/2187 + (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (5*H[{3, 0}, {0, 0}, 1]^2)/96 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32, 
 H[{6, 0}, {2, 0}, {3, 0}, {3, 1}, 1] -> (767*Pi^4)/612360 - 
   (1327*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (103*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1260 + (Pi^2*H[{3, 1}, 1]^2)/18 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + (449*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (1735*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (573*H[{3, 0}, {0, 0}, 1]^2)/
    560 + (223*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (15877*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (3905*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (31363*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1651*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (278*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (130*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (577*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (207*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 1}, {0, 0}, 1] -> (-6269*Pi^4)/816480 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (107*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (107*H[{3, 0}, {0, 0}, 1]^2)/56 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (65*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (52*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (75*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 1}, {1, 0}, 1] -> (149*Pi^4)/45360 + 
   (64003*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (5*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) + 
   (431*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (41*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (5203*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (73*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2903*H[{3, 0}, {0, 0}, 1]^2)/4480 - (1049*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (8761*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (137*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (19141*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (901*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) - 
   (247*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (1181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (36*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (281*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 0}, {2, 0}, {3, 1}, {2, 0}, 1] -> 
  (-11443*Pi^4)/816480 - (1291*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (209*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (281*Pi^2*H[{3, 0}, {0, 0}, 1])/504 - 
   (1835*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (6463*H[{3, 0}, {0, 0}, 1]^2)/2240 + (661*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (5653*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (485*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (127199*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (10189*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (853*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (172*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (99*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (677*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (313*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 1}, {3, 0}, 1] -> (233*Pi^4)/612360 + 
   (515*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (227*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/56 + 
   (1619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (853*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/6 + (997*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3024*Sqrt[3]) - (3761*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (13913*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (27449*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (907*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (236*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (109*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (50*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {3, 1}, {3, 1}, 1] -> (-5491*Pi^4)/2449440 - 
   (16963*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (7*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (1853*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (89*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (299*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (12769*H[{3, 0}, {0, 0}, 1]^2)/13440 + (227*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (280*Sqrt[3]) + (3181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (5311*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (625*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (8839*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (53*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (351*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (99*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 0}, {0, 0}, 1] -> (-29*Pi^4)/2916 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (9*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {2, 0}, {6, 0}, {1, 0}, 1] -> (-7*Pi^4)/1458 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (29*H[{3, 0}, {0, 0}, 1]^2)/32 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {3, 0}, {0, 0}, {0, 0}, 1] -> (283*Pi^4)/25515 + 
   (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/126 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (75*H[{3, 0}, {0, 0}, 1]^2)/112 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {3, 0}, {0, 0}, {1, 0}, 1] -> (41*Pi^4)/9720 + 
   (5*Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + 4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 0}, {3, 0}, {0, 0}, {2, 0}, 1] -> (-109*Pi^4)/25515 - 
   (41*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (51*H[{3, 0}, {0, 0}, 1]^2)/112 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (13463*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (2607*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (127*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (1733*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {3, 0}, {0, 0}, {3, 0}, 1] -> (1187*Pi^4)/612360 - 
   (85*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (157*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (113*H[{3, 0}, {0, 0}, 1]^2)/168 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (1165*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {0, 0}, {3, 1}, 1] -> (557*Pi^4)/244944 + 
   (79*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (523*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (29*H[{3, 0}, {0, 0}, 1]^2)/1344 + (10*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (418*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) - 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (35017*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (2263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (21641*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (65*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {1, 0}, {0, 0}, 1] -> (49*Pi^4)/3888 + 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (91*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (727*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {3, 0}, {1, 0}, {1, 0}, 1] -> 
  (4469*Pi^4)/408240 + (25337*Pi^3*H[{2, 0}, 1])/(1224720*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/243 + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (383*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (1927*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (4073*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (71*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (403*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (226*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (641*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) - 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (2119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1451*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (15917*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (589*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (433*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/420 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {1, 0}, {2, 0}, 1] -> (509*Pi^4)/58320 + 
   (17*Pi^3*H[{2, 0}, 1])/(1620*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    270 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (Pi^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (35*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (291*H[{3, 0}, {0, 0}, 1]^2)/160 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 + (347*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (527*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1441*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (14089*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {1, 0}, {3, 0}, 1] -> 
  -Pi^4/972 + (Pi^3*H[{2, 0}, 1])/(108*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/72 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) + (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/96 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {1, 0}, {3, 1}, 1] -> (6899*Pi^4)/816480 + 
   (944*Pi^3*H[{2, 0}, 1])/(76545*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (281*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (311*Pi^2*H[{3, 0}, {0, 0}, 1])/
    27216 + (101*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (3299*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (283*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (1027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) - 
   (611*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1497443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (21043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1991*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (59411*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (1913*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (493*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (116*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {2, 0}, {0, 0}, 1] -> (59*Pi^4)/204120 + 
   (19*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (71*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/28 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {3, 0}, {2, 0}, {1, 0}, 1] -> (43*Pi^4)/29160 + 
   (4*Pi^3*H[{2, 0}, 1])/(135*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/15 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (2285*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (187*H[{3, 0}, {0, 0}, 1]^2)/480 - (Pi^2*H[{3, 1}, {2, 0}, 1])/15 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (8*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (4307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (214*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (961*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (106*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (14*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/20 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (7*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {2, 0}, {2, 0}, 1] -> (-61*Pi^4)/17010 - 
   (4*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (1033*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (31*H[{3, 0}, {0, 0}, 1]^2)/3360 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (661*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (947*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (2281*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(300*Sqrt[3]) - 
   (442*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (86*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1532*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (351*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (78*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {2, 0}, {3, 0}, 1] -> (2657*Pi^4)/612360 - 
   (127*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (319*H[{3, 0}, {0, 0}, 1]^2)/672 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (781*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {2, 0}, {3, 1}, 1] -> (-5041*Pi^4)/349920 - 
   (133*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/162 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (121*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (59*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (21*H[{3, 0}, {0, 0}, 1]^2)/8 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/324 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (137*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) + 
   (1685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (211343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (30327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (1243*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (60439*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (2757*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (20*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 0}, {0, 0}, 1] -> -(Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {3, 0}, {1, 0}, 1] -> (559*Pi^4)/408240 - 
   (379*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (649*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 0}, {2, 0}, 1] -> (767*Pi^4)/1224720 + 
   (31*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (157*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (53*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (1345*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(56*Sqrt[3]) - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 0}, {3, 0}, 1] -> (4*Pi^4)/3645 + 
   (13*Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    288 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + H[{3, 0}, {0, 0}, 1]^2/20 - 
   (4*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    9 + (337*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4860*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/72 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/5 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {3, 0}, {3, 0}, {3, 1}, 1] -> (-13*Pi^4)/87480 + 
   (77*Pi^3*H[{2, 0}, 1])/(9720*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 + (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (126*Sqrt[3]) - (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, 1]^2/40 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (1351*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(19440*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (2743*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (659*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 0}, {3, 0}, {3, 1}, {0, 0}, 1] -> (109*Pi^4)/68040 + 
   (19*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (269*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (62827*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (21009*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (16841*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (1849*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 0}, {3, 0}, {3, 1}, {1, 0}, 1] -> (-661*Pi^4)/408240 + 
   (39829*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) + 
   (19*Pi^2*H[{2, 0}, 1]^2)/1944 + (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (317*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    54 + (3805*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (5339*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (1997*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (19*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (4961*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (3763*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (2136313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(604800*Sqrt[3]) + 
   (22913*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (14281*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (35*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (61801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (2083*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (361*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (143*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (117*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {3, 1}, {2, 0}, 1] -> (4513*Pi^4)/612360 + 
   (257*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (1063*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (325*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (163*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (331*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5989*H[{3, 0}, {0, 0}, 1]^2)/3360 - (164*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - H[{3, 1}, {2, 0}, 1]^2 + 
   (6113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (157*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (15149*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (813*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (175781*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (969*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (21947*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1007*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (81*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (433*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (433*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {3, 1}, {3, 0}, 1] -> (-149*Pi^4)/244944 - 
   (13*Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (131*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 + (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (1151*H[{3, 0}, {0, 0}, 1]^2)/3360 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (37939*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) - 
   (139*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (403*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (233*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 0}, {3, 1}, {3, 1}, 1] -> (29*Pi^4)/51030 + 
   (13711*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/486 + (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    7560 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - 
   (3359*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 - 
   (2537*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (613*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (127*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/4 + 
   (2428*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(8505*Sqrt[3]) + 
   (1877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (55*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (11083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3780*Sqrt[3]) + 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (533*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3233*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (205*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/36 + 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 0}, {6, 0}, {0, 0}, 1] -> (1187*Pi^4)/204120 - 
   (113*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (157*Pi^2*H[{3, 0}, {0, 0}, 1])/
    252 + (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 3*H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] + (39*H[{3, 0}, {0, 0}, 1]^2)/28 - 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 3*H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (983*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 0}, {1, 0}, 1] -> (349*Pi^4)/68040 - 
   (37*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (691*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (517*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (15*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (291*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (199*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 0}, {6, 0}, {2, 0}, 1] -> (253*Pi^4)/76545 - 
   (107*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (683*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 + 
   (106*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (743*H[{3, 0}, {0, 0}, 1]^2)/672 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1313*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (164*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (53*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(252*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (52*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (8*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {0, 0}, {0, 0}, 1] -> (-283*Pi^4)/51030 + 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (75*H[{3, 0}, {0, 0}, 1]^2)/224 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {3, 1}, {0, 0}, {1, 0}, 1] -> (-41*Pi^4)/19440 - 
   (11*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 - (61*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 0}, {3, 1}, {0, 0}, {2, 0}, 1] -> (2059*Pi^4)/408240 + 
   (53*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (2095*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (249*H[{3, 0}, {0, 0}, 1]^2)/224 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (10289*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (3413*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (2057*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(8*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (1333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (1343*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (207*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (212*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {0, 0}, {3, 0}, 1] -> (-193*Pi^4)/612360 - 
   (5*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (313*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (2297*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1961*H[{3, 0}, {0, 0}, 1]^2)/1344 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (563*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (27367*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (3223*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(144*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (10601*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {0, 0}, {3, 1}, 1] -> (-1771*Pi^4)/349920 + 
   (31*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    162 + (67*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (25*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (19*H[{3, 0}, {0, 0}, 1]^2)/192 - (Pi^2*H[{3, 1}, {2, 0}, 1])/162 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (421*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 - 
   (29933*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (7411*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (1481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3917*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (171*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (7201*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (73*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {1, 0}, {0, 0}, 1] -> (-11509*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 + (829*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (727*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (1871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (491*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1807*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {1, 0}, {1, 0}, 1] -> (-181*Pi^4)/14580 + 
   (13429*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (95*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/360 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 + (3415*Pi^2*H[{3, 0}, {0, 0}, 1])/15552 - 
   (875*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (1001*H[{3, 0}, {0, 0}, 1]^2)/1920 + (101*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1620 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (109*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (350621*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) - 
   (5071*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (4207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (71*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (473*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (23*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (113*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/30 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 0}, {3, 1}, {1, 0}, {2, 0}, 1] -> 
  (-739*Pi^4)/116640 - (569*Pi^3*H[{2, 0}, 1])/(6480*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 - (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(16*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (469*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (461*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (301*H[{3, 0}, {0, 0}, 1]^2)/320 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/270 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (791*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (449*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (143599*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (14851*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (1777*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) + 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/Sqrt[3] - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (17*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/4 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/2 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (101*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {3, 1}, {1, 0}, {3, 0}, 1] -> (2923*Pi^4)/816480 - 
   (1769*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (1033*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (211*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (655*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (3973*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (107*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/2 + 
   (1979*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) + 
   (877*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (400879*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (12837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3103*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5471*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (1837*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (76*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (108*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {1, 0}, {3, 1}, 1] -> (-527*Pi^4)/40824 + 
   (6031*Pi^3*H[{2, 0}, 1])/(244944*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (43*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (59*Pi^2*H[{3, 0}, {0, 0}, 1])/6804 - 
   (95*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (79*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (53*H[{3, 0}, {0, 0}, 1]^2)/
    168 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (223*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (5959*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (57229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12096*Sqrt[3]) - 
   (825*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (293*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2413*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (75*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (817*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (194*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/12 + 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (38*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {2, 0}, {0, 0}, 1] -> (-59*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (479*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {3, 1}, {2, 0}, {1, 0}, 1] -> (-109*Pi^4)/816480 - 
   (149*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (211*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2573*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (821*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (169*H[{3, 0}, {0, 0}, 1]^2)/420 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (275*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (27823*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (8811*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (9427*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (36*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (137*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (141*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 0}, {3, 1}, {2, 0}, {2, 0}, 1] -> 
  (2231*Pi^4)/816480 + (1147*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1391*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (431*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (761*H[{3, 0}, {0, 0}, 1]^2)/1680 - (34*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2801*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (1165*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (351*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (145*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (69*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 0}, {3, 1}, {2, 0}, {3, 0}, 1] -> 
  (-413*Pi^4)/69984 + (7*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/81 - (26*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (77*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (155*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (223*H[{3, 0}, {0, 0}, 1]^2)/240 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1123*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) + 
   (305*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (192277*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (23293*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (9103*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4273*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/10 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {2, 0}, {3, 1}, 1] -> (4777*Pi^4)/489888 + 
   (3553*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (1969*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (8*Pi^2*H[{3, 0}, {0, 0}, 1])/63 + 
   (30871*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (133*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (223*H[{3, 0}, {0, 0}, 1]^2)/105 - (256*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (409*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (7621*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (18869*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (879*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2855*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (394*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1030*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] - (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (617*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {3, 0}, {0, 0}, 1] -> (-86*Pi^4)/25515 + 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (157*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (157*H[{3, 0}, {0, 0}, 1]^2)/448 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (617*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) + 
   (737*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 0}, {3, 1}, {3, 0}, {1, 0}, 1] -> (-505*Pi^4)/81648 + 
   (15527*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/
    648 - (11*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (1987*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 - (569*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (373*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (17861*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (151*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (4409*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (21295*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (137*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (22777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (5067*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (2687*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (53597*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (4653*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (14347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (517*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (215*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (179*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (313*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {3, 0}, {2, 0}, 1] -> (-9727*Pi^4)/1224720 - 
   (799*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/24 - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (1289*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/252 - 
   (22*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (293*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (95*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (2829*H[{3, 0}, {0, 0}, 1]^2)/1120 + (277*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, {2, 0}, 1]^2)/3 - (18499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (2897*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (27241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (20227*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (72397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (2519*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (15637*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (3657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (69857*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (2259*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1177*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (869*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (659*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {3, 0}, {3, 0}, 1] -> 
  -Pi^4/10935 + (Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/162 - (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 0}, {0, 0}, 1])/16 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - (37*H[{3, 0}, {0, 0}, 1]^2)/
    480 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (1219*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4860*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (19*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (151*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 0}, {3, 1}, {3, 0}, {3, 1}, 1] -> (-101*Pi^4)/816480 + 
   (491*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (2351*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    18 - (895*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (10393*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (10973*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (439*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 - (2186*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (8505*Sqrt[3]) - (2419*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (47869*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (11759*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (4919*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) + 
   (1069*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2026*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (535*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (601*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (277*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (347*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (404*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {3, 1}, {3, 1}, {0, 0}, 1] -> (361*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (325*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (185*H[{3, 0}, {0, 0}, 1]^2)/448 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (1687*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) - 
   (3503*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (731*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) + 
   (713*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(16*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 0}, {3, 1}, {3, 1}, {1, 0}, 1] -> (127*Pi^4)/23328 - 
   (1723*Pi^3*H[{2, 0}, 1])/(69984*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (19*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    648 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (1517*Pi^2*H[{3, 0}, {0, 0}, 1])/
    15552 + (5321*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (89*H[{3, 0}, {0, 0}, 1]^2)/
    384 + (7*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (217*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (979*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(540*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (18527*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (541*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2099*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/160 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (607*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (23*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (143*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {3, 1}, {2, 0}, 1] -> (-119*Pi^4)/349920 - 
   (319*Pi^3*H[{2, 0}, 1])/(19440*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/405 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (23767*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (929*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (59*H[{3, 0}, {0, 0}, 1]^2)/960 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (97*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1620*Sqrt[3]) - 
   (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/20 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (1159*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (13889*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (95*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (317*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 - H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {3, 1}, {3, 0}, 1] -> (-391*Pi^4)/2449440 - 
   (73*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    54 + (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (435*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/14 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27216*Sqrt[3]) + (4607*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (19133*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (559*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (4909*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5221*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) - 
   (173*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (439*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {3, 1}, {3, 1}, 1] -> (-349*Pi^4)/174960 + 
   (1769*Pi^3*H[{2, 0}, 1])/(174960*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 - (247*Pi^2*H[{3, 0}, {0, 0}, 1])/1944 + 
   (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (17*H[{3, 0}, {0, 0}, 1]^2)/120 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (299*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4860*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (6229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10800*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (1324*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (213*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (769*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/15 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/15 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-1469*Pi^4)/136080 + 
   (113*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (359*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (109*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (2075*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (86*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-7309*Pi^4)/816480 + 
   (127*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (55*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 - (823*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (629*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (401*H[{3, 0}, {0, 0}, 1]^2)/1344 + (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (23*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1291*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) + (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (704*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (65*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {3, 1}, {6, 0}, {2, 0}, 1] -> (-13243*Pi^4)/2449440 + 
   (431*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    315 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (2477*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (2783*H[{3, 0}, {0, 0}, 1]^2)/3360 - (101*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (9781*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (9203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (128381*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (4943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (361*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (41387*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (1321*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (458*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (74*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (832*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (178*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (146*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {3, 1}, {6, 0}, {3, 0}, 1] -> (-3961*Pi^4)/306180 - 
   (85*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 + 
   (1801*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (5573*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (2327*H[{3, 0}, {0, 0}, 1]^2)/1344 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/9 - (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (63*Sqrt[3]) + (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (2365*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4032*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (34*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (421*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (31*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {0, 0}, {0, 0}, 1] -> (29*Pi^4)/2916 - 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + H[{3, 0}, {0, 0}, 1]^2/4 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 0}, {0, 0}, {1, 0}, 1] -> (-13*Pi^4)/1944 + 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - H[{3, 0}, {0, 0}, 1]^2/16 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (4*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {0, 0}, {2, 0}, 1] -> 
  (37*Pi^4)/5832 - (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {0, 0}, {3, 0}, 1] -> 
  (-11*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (451*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) - (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {0, 0}, {3, 1}, 1] -> 
  Pi^4/972 + (Pi^2*H[{3, 0}, {0, 0}, 1])/864 - (13*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (607*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (641*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {1, 0}, {0, 0}, 1] -> 
  (25*Pi^4)/2916 - (4*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   H[{3, 0}, {0, 0}, 1]^2/8 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (27*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (338*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 0}, {1, 0}, {1, 0}, 1] -> (17*Pi^4)/5832 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (7*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {1, 0}, {2, 0}, 1] -> 
  (37*Pi^4)/5832 - (Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/32 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (91*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {1, 0}, {3, 0}, 1] -> 
  (-19*Pi^4)/8748 + (8*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) - 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {1, 0}, {3, 1}, 1] -> (439*Pi^4)/69984 - 
   (4*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (103*H[{3, 0}, {0, 0}, 1]^2)/192 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (431*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (89*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (65*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2693*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 0}, {6, 0}, {2, 0}, {0, 0}, 1] -> 
  (11*Pi^4)/5832 - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]^2)/8 + (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (353*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(150*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/50 + 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 0}, {6, 0}, {2, 0}, {1, 0}, 1] -> (-1469*Pi^4)/136080 + 
   (11*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (113*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (487*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, 1]^2)/56 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (1417*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3023*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4800*Sqrt[3]) - 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (827*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (301*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) + 
   (243*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {6, 0}, {2, 0}, {2, 0}, 1] -> (7*Pi^4)/1944 - 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/27 - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (4693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (30419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (1261*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{6, 0}, {6, 0}, {2, 0}, {3, 0}, 1] -> 
  (19*Pi^4)/8748 - (8*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/96 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(36*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32, 
 H[{6, 0}, {6, 0}, {2, 0}, {3, 1}, 1] -> (-1391*Pi^4)/244944 + 
   (22*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (139*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (23*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (73*H[{3, 0}, {0, 0}, 1]^2)/1344 + (167*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (1895*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (40913*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (911*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (557*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 0}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-1187*Pi^4)/612360 + 
   (58*Pi^3*H[{2, 0}, 1])/(1701*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (817*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (46*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (13*H[{3, 0}, {0, 0}, 1]^2)/28 + 
   (17*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] + (307*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (82*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 0}, {1, 0}, 1] -> (149*Pi^4)/1224720 + 
   (59*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (23*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (355*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (629*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (241*H[{3, 0}, {0, 0}, 1]^2)/336 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (157*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (95*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(252*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (29*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 0}, {3, 0}, {2, 0}, 1] -> (-2447*Pi^4)/1224720 + 
   (179*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (947*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 - 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (71*H[{3, 0}, {0, 0}, 1]^2)/336 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (587*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (233*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(504*Sqrt[3]) - 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-3323*Pi^4)/306180 - 
   (127*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 + (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + (1033*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 - (2423*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 - 
   (2893*H[{3, 0}, {0, 0}, 1]^2)/2016 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (1343*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (716*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (2377*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4032*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (7877*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (326*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {6, 0}, {3, 0}, {3, 1}, 1] -> (7069*Pi^4)/1224720 - 
   (59*Pi^3*H[{2, 0}, 1])/(3402*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (23*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (4391*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (715*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (1621*H[{3, 0}, {0, 0}, 1]^2)/4032 + (47*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (1193*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (317*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (7841*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5760*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(378*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1091*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (86*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (313*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 1}, {0, 0}, 1] -> (3937*Pi^4)/612360 - 
   (187*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    63 + (619*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (261*H[{3, 0}, {0, 0}, 1]^2)/448 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (551*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (23*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (74419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (11891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (10093*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (44987*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 0}, {6, 0}, {3, 1}, {1, 0}, 1] -> (-9917*Pi^4)/2449440 - 
   (1181*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    7560 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (1861*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (10343*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (475*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (11791*H[{3, 0}, {0, 0}, 1]^2)/13440 + (76*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (1993*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (163*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (169*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (381107*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (5401*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (6179*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5297*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (491*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (59*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (111*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 0}, {6, 0}, {3, 1}, {2, 0}, 1] -> (4727*Pi^4)/612360 + 
   (37*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (179*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (473*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (155*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (467*H[{3, 0}, {0, 0}, 1]^2)/1680 - (179*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (1207*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (1807*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (817487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (35741*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17939*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (473*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (234307*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (9283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (473*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (463*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + H[{3, 0}, {0, 0}, {1, 0}, 
    {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (218*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {3, 1}, {3, 0}, 1] -> (2203*Pi^4)/612360 + 
   (743*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - 
   (2041*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (2801*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (3103*H[{3, 0}, {0, 0}, 1]^2)/4032 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 - 
   (17*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (358*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (25709*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8437*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (163*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (269*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (23*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {6, 0}, {3, 1}, {3, 1}, 1] -> (-143*Pi^4)/87480 - 
   (467*Pi^3*H[{2, 0}, 1])/(38880*Sqrt[3]) + (37*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    360 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (13*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + 
   (791*Pi^2*H[{3, 0}, {0, 0}, 1])/5184 - 
   (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (2609*H[{3, 0}, {0, 0}, 1]^2)/5760 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (11*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (401*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3240*Sqrt[3]) + (725*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (53767*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28800*Sqrt[3]) - 
   (2101*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(270*Sqrt[3]) - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (20827*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (841*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (541*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (479*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (103*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 + 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 0}, {6, 0}, {6, 0}, {0, 0}, 1] -> (Pi^2*H[{3, 0}, {0, 0}, 1])/27 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{6, 0}, {6, 0}, {6, 0}, {1, 0}, 1] -> (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2, 
 H[{6, 0}, {6, 0}, {6, 0}, {2, 0}, 1] -> (2*Pi^4)/2187 + 
   (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (Pi^2*H[{3, 0}, {0, 0}, 1])/54 + 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48, 
 H[{6, 0}, {6, 0}, {6, 0}, {3, 0}, 1] -> (407*Pi^4)/102060 + 
   (104*Pi^3*H[{2, 0}, 1])/(8505*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (473*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + (101*H[{3, 0}, {0, 0}, 1]^2)/
    1120 - (127*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2057*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(17010*Sqrt[3]) - 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (202*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/72 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 0}, {6, 0}, {6, 0}, {3, 1}, 1] -> (-337*Pi^4)/204120 + 
   (949*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (127*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (239*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (157*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - (101*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (127*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (8171*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (101*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (55*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(672*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(420*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (101*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (101*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 1}, {0, 0}, {0, 0}, {0, 0}, 1] -> (91*Pi^4)/19440 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 1}, {0, 0}, {0, 0}, {1, 0}, 1] -> (37*Pi^4)/17010 + 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (67*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(14*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {0, 0}, {2, 0}, 1] -> (127*Pi^4)/272160 - 
   (Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (41*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/56 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (43*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(70*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {0, 0}, {3, 0}, 1] -> (167*Pi^4)/81648 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (223*H[{3, 0}, {0, 0}, 1]^2)/224 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (767*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (3649*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (76*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {0, 0}, {3, 1}, 1] -> (-1007*Pi^4)/408240 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (253*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (859*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (1549*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (142*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{6, 1}, {0, 0}, {0, 0}, {6, 0}, 1] -> 
  (5*Pi^4)/729 - (9*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (14*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 1}, {0, 0}, {1, 0}, {0, 0}, 1] -> (223*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    63 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/112 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (279*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {1, 0}, {1, 0}, 1] -> (901*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/56 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (423*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (461*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {1, 0}, {2, 0}, 1] -> 
  -Pi^4/720 - (Pi^3*H[{2, 0}, 1])/(27*Sqrt[3]) + 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/64 - (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (54*Sqrt[3]) + (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (223*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (7*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2, 
 H[{6, 1}, {0, 0}, {1, 0}, {3, 0}, 1] -> (457*Pi^4)/272160 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (989*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (341*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (275*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (395*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (2617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (1753*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (63*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {1, 0}, {3, 1}, 1] -> (-209*Pi^4)/102060 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + 
   (557*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (101*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (1427*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (297*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1433*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1843*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (188*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (61*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {1, 0}, {6, 0}, 1] -> 
  (5*Pi^4)/648 + (35*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (13*H[{3, 0}, {0, 0}, 1]^2)/16 + (121*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (108*Sqrt[3]) + (4*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (69*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {0, 0}, {2, 0}, {0, 0}, 1] -> 
  (-773*Pi^4)/90720 - (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (15*H[{3, 0}, {0, 0}, 1]^2)/112 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (263*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/14 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (38*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {2, 0}, {1, 0}, 1] -> (-281*Pi^4)/45360 + 
   (41*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    84 - (307*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (15*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (33*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/84 + 
   (8107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/42 - 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (239*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1207*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(560*Sqrt[3]) - 
   (409*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (121*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/16 - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {2, 0}, {2, 0}, 1] -> (-55*Pi^4)/27216 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (89*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (257*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (8237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4480*Sqrt[3]) - 
   (2399*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/Sqrt[3] - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (71*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {2, 0}, {3, 0}, 1] -> (89*Pi^4)/816480 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (289*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (179*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (103*H[{3, 0}, {0, 0}, 1]^2)/112 - (Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (23717*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (277*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (52*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (81*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {2, 0}, {3, 1}, 1] -> (7*Pi^4)/9720 + 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (19*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (31*H[{3, 0}, {0, 0}, 1]^2)/32 - (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (431*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (887*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 1}, {0, 0}, {2, 0}, {6, 0}, 1] -> 
  Pi^4/2916 - (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/32 + (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {0, 0}, {3, 0}, {0, 0}, 1] -> 
  (-241*Pi^4)/40824 + (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (31*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (20*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (153*H[{3, 0}, {0, 0}, 1]^2)/224 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (611*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 - 
   (362*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (10*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {0, 0}, {3, 0}, {1, 0}, 1] -> (-37*Pi^4)/7560 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (13*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (323*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (713*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (661*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(600*Sqrt[3]) - 
   (66*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (313*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (67*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50*Sqrt[3]) + 
   (24*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {3, 0}, {2, 0}, 1] -> (-47*Pi^4)/204120 - 
   (Pi^3*H[{2, 0}, 1])/(126*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 - 
   (475*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (369*H[{3, 0}, {0, 0}, 1]^2)/224 + (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (4103*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (1391*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) + 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (307*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (272*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (191*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {0, 0}, {3, 0}, {3, 0}, 1] -> (-35*Pi^4)/5832 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + (5*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (191*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (3361*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (751*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{6, 1}, {0, 0}, {3, 0}, {3, 1}, 1] -> 
  Pi^4/972 - (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/64 - (1201*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (641*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (247*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (133*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {0, 0}, {3, 0}, {6, 0}, 1] -> 
  (-425*Pi^4)/244944 + (155*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (29*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 - (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (113*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/448 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (197*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5599*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (37*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (25243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (691*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (18*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {3, 1}, {0, 0}, 1] -> (7*Pi^4)/116640 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/12 - (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (6*Sqrt[3]) - (3*H[{3, 0}, {0, 0}, 1]^2)/8 + (Pi^2*H[{3, 1}, {2, 0}, 1])/
    27 + (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (131*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(70*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 + 
   (367*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(15*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 1}, {0, 0}, {3, 1}, {1, 0}, 1] -> (2983*Pi^4)/816480 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (23*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - 
   (139*Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (563*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (463*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (4981*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (461*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (44*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (193*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {3, 1}, {2, 0}, 1] -> (-7*Pi^4)/810 - 
   (Pi^3*H[{2, 0}, 1])/(162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 + 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (361*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(105*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (13*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(30*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 1}, {0, 0}, {3, 1}, {3, 0}, 1] -> (101*Pi^4)/23328 + 
   (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (179*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/64 + (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1296*Sqrt[3]) + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (1159*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {0, 0}, {3, 1}, {3, 1}, 1] -> (-419*Pi^4)/102060 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (79*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (67*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (433*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (2591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) - 
   (1993*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (127*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {0, 0}, {3, 1}, {6, 0}, 1] -> (3029*Pi^4)/1224720 - 
   (31*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 - (685*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (491*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (115*H[{3, 0}, {0, 0}, 1]^2)/448 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (745*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (199*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (57863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (6007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (971*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (33589*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (607*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (508*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 0}, {0, 0}, 1] -> (-29*Pi^4)/2916 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 + (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {0, 0}, {6, 0}, {1, 0}, 1] -> (-5*Pi^4)/972 - 
   (49*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (7*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (22*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {1, 0}, {3, 0}, 
    {0, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {0, 0}, {6, 0}, {2, 0}, 1] -> (-5*Pi^4)/1944 + 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + (71*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/32 - (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (2257*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (869*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (757*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (268*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {0, 0}, {6, 0}, {3, 0}, 1] -> 
  (-64*Pi^4)/15309 - (155*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (419*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 + (703*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (113*H[{3, 0}, {0, 0}, 1]^2)/448 + (16*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (26*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (239*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (667*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (327*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (493*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (5993*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (459*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (1433*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (179*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 0}, {3, 1}, 1] -> (2117*Pi^4)/349920 + 
   (19*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 + (103*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (89*H[{3, 0}, {0, 0}, 1]^2)/64 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (241*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (67*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/324 + 
   (12557*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (913*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5087*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (4061*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (1133*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (173*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (10*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {0, 0}, {6, 0}, {6, 0}, 1] -> (7*Pi^4)/5832 + 
   (2*Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {1, 0}, {0, 0}, {0, 0}, 1] -> 
  (-233*Pi^4)/38880 - (Pi^2*H[{3, 0}, {0, 0}, 1])/48 + 
   (27*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) + (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16, 
 H[{6, 1}, {1, 0}, {0, 0}, {1, 0}, 1] -> (-653*Pi^4)/272160 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/7 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (333*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {0, 0}, {2, 0}, 1] -> (-421*Pi^4)/68040 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (353*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (319*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (173*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (69*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(280*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {1, 0}, {0, 0}, {3, 0}, 1] -> (-4579*Pi^4)/816480 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (205*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (303*H[{3, 0}, {0, 0}, 1]^2)/224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (205*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (6023*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (643*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {0, 0}, {3, 1}, 1] -> (-971*Pi^4)/204120 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (221*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (683*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (91*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(160*Sqrt[3]) + 
   (419*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (407*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (38*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {0, 0}, {6, 0}, 1] -> (-11*Pi^4)/1944 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - (5*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (68*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {1, 0}, {1, 0}, {0, 0}, 1] -> 
  (-841*Pi^4)/136080 - (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    168 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {1, 0}, {1, 0}, 1] -> (-431*Pi^4)/68040 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (125*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (45*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {1, 0}, {2, 0}, 1] -> (-67*Pi^4)/90720 + 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) + (115*Pi^2*H[{3, 0}, {0, 0}, 1])/672 - 
   (1835*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (21*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (9*H[{3, 0}, {0, 0}, 1]^2)/224 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (47*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (115*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (2323*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(400*Sqrt[3]) + 
   (5137*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (1489*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 - 
   (27*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {1, 0}, {3, 0}, 1] -> (797*Pi^4)/90720 - 
   (8803*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + (347*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (Pi^2*H[{3, 1}, 1]^2)/72 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (1063*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (1093*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5253*H[{3, 0}, {0, 0}, 1]^2)/4480 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (59*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (68683*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2671*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (111*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (107*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {1, 0}, {1, 0}, {3, 1}, 1] -> 
  (-1597*Pi^4)/163296 + (1061*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/162 + (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (3049*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (4127*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (5195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (389*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (2797*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (7589*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (90887*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (1991*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (173*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (421*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (181*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (437*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (561*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (199*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (222*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {1, 0}, {1, 0}, {6, 0}, 1] -> 
  Pi^4/162 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/48 - (9*H[{3, 0}, {0, 0}, 1]^2)/
    16 + (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {2, 0}, {0, 0}, 1] -> (-569*Pi^4)/136080 + 
   (25*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (361*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (141*H[{3, 0}, {0, 0}, 1]^2)/448 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (95*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/16 - 
   (1747*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (499*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (52*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {1, 0}, {2, 0}, {1, 0}, 1] -> (-2213*Pi^4)/272160 - 
   (Pi^3*H[{2, 0}, 1])/(252*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/27 - 
   (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/28 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (3*Sqrt[3]) - (421*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (57*H[{3, 0}, {0, 0}, 1]^2)/224 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/224 - 
   (187*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (8539*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (19641*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   3*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {2, 0}, {2, 0}, 1] -> (-173*Pi^4)/54432 - 
   (83*Pi^3*H[{2, 0}, 1])/(3024*Sqrt[3]) - 
   (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (6*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (295*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (35*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/224 + (65*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (647*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (631*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (22471*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) - 
   (2399*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (71*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {1, 0}, {2, 0}, {3, 0}, 1] -> (-101*Pi^4)/15120 - 
   (11*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    6 - (205*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (1055*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (25*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (5029*H[{3, 0}, {0, 0}, 1]^2)/6720 + (127*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 + (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (25*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (6161*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (16229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (991*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2033*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (407*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (61181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (6429*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (92*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (241*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {2, 0}, {3, 1}, 1] -> (1945*Pi^4)/81648 + 
   (3271*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (94*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (3055*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (7781*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (25447*H[{3, 0}, {0, 0}, 1]^2)/6720 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/420 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (33667*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (7265*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (13039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) + 
   (2167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1525*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (547*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3116*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (179*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (354*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {2, 0}, {6, 0}, 1] -> (-4547*Pi^4)/408240 - 
   (499*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) - (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) + (479*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (599*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (195*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (71*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (95*H[{3, 0}, {0, 0}, 1]^2)/448 + (31*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (811*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (71599*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (12511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (211*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (2333*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (711*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (109*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {1, 0}, {3, 0}, {0, 0}, 1] -> (2759*Pi^4)/816480 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (781*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (219*H[{3, 0}, {0, 0}, 1]^2)/224 - (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (227*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (59*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(60*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (619*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 0}, {1, 0}, 1] -> (-3079*Pi^4)/408240 + 
   (12163*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (37*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (209*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (643*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 - 
   (1037*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (185*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5533*H[{3, 0}, {0, 0}, 1]^2)/4480 + (331*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 - (2119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) + (659*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (191677*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (456*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (131*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (124*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (382*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (891*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 0}, {2, 0}, 1] -> (-25*Pi^4)/23328 - 
   (113*Pi^3*H[{2, 0}, 1])/(3240*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    45 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (41*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (34*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (359*H[{3, 0}, {0, 0}, 1]^2)/320 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/540 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (629*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) + (7*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (119039*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (13211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3743*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) + 
   (1201*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (6113*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (729*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 0}, {3, 0}, 1] -> (-305*Pi^4)/69984 - 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (7*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (251*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1237*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1039*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3, 
 H[{6, 1}, {1, 0}, {3, 0}, {3, 1}, 1] -> (463*Pi^4)/122472 + 
   (24259*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (35*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (463*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (589*Pi^2*H[{3, 0}, {0, 0}, 1])/4032 + 
   (2995*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (12497*H[{3, 0}, {0, 0}, 1]^2)/13440 - (391*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1260*Sqrt[3]) - (3373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (2119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(630*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (34*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (1739*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (109*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (143*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {3, 0}, {6, 0}, 1] -> (-16193*Pi^4)/2449440 - 
   (2119*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1243*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (407*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (613*H[{3, 0}, {0, 0}, 1]^2)/1680 + (149*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (9733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (12827*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2197*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (38221*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (2383*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {3, 1}, {0, 0}, 1] -> (-2561*Pi^4)/816480 - 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/
    336 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (339*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/126 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (23*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (457*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (1597*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (93*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1121*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (507*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (25*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {3, 1}, {1, 0}, 1] -> (71*Pi^4)/14580 - 
   (1883*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) + (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1080 - (Pi^2*H[{3, 1}, 1]^2)/36 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (625*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1728 - (5357*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (239*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (133*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (161*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (32*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (135*Sqrt[3]) - (827*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (33*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (1423*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (26801*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (3009*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (677*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (211*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 + 
   (21*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {1, 0}, {3, 1}, {2, 0}, 1] -> 
  (-10439*Pi^4)/408240 + (299*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/81 - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) - 
   (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/420 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (257*Pi^2*H[{3, 0}, {0, 0}, 1])/
    672 - (5723*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (7129*H[{3, 0}, {0, 0}, 1]^2)/2240 + (323*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 - (538*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (945*Sqrt[3]) + (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (2099*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (209*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (6991*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (463*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (303*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (354*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {3, 1}, {3, 0}, 1] -> (-347*Pi^4)/489888 - 
   (20899*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (29*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) - 
   (1669*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (1369*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 + 
   (2245*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (10117*H[{3, 0}, {0, 0}, 1]^2)/13440 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/
    1890 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (4433*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5040*Sqrt[3]) + (3373*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (55*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (30767*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (415*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (12013*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (49*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (275*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (187*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {1, 0}, {3, 1}, {3, 1}, 1] -> 
  (-10021*Pi^4)/2449440 - (157*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - (73*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi^2*H[{3, 1}, 1]^2)/72 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/12 + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (253*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (155*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (397*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (817*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (9373*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) - 
   (1993*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {1, 0}, {3, 1}, {6, 0}, 1] -> (1087*Pi^4)/612360 + 
   (811*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    35 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (11*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 + (515*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (173*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (4931*H[{3, 0}, {0, 0}, 1]^2)/3360 - (62*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (34357*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(90720*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (689*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (39871*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (2739*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (3163*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (473*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (22303*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (249*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (67*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (245*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (551*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (51*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (54*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {1, 0}, {6, 0}, {0, 0}, 1] -> (19*Pi^4)/5832 + 
   (43*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + (7*H[{3, 0}, {0, 0}, 1]^2)/16 - 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {1, 0}, {6, 0}, {1, 0}, 1] -> 
  (-17*Pi^4)/5832 + (187*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   H[{3, 0}, {0, 0}, 1]^2 - (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/Sqrt[3] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {1, 0}, {6, 0}, {2, 0}, 1] -> 
  (2377*Pi^4)/408240 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (1805*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (125*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (347*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (473*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (67*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50*Sqrt[3]) + 
   (767*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (827*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (161*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(100*Sqrt[3]) - 
   (359*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (241*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {1, 0}, {6, 0}, {3, 0}, 1] -> (-3329*Pi^4)/816480 - 
   (121*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (437*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (607*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (10*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (421*H[{3, 0}, {0, 0}, 1]^2)/3360 - (167*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (6863*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (80207*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (5903*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (13753*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1977*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (1057*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 + 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (233*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {6, 0}, {3, 1}, 1] -> (2663*Pi^4)/816480 - 
   (157*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/84 + 
   (505*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (281*H[{3, 0}, {0, 0}, 1]^2)/3360 + (43*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (67*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(630*Sqrt[3]) - 
   (253*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (19163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2507*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3473*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1034*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (108*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (38*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (16*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {1, 0}, {6, 0}, {6, 0}, 1] -> (-11*Pi^4)/1944 + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (5*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(162*Sqrt[3]) - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {1, 0}, {6, 1}, {0, 0}, 1] -> 
  (-29*Pi^4)/7290 + (35*Pi^2*H[{3, 0}, {0, 0}, 1])/108 + 
   (7*H[{3, 0}, {0, 0}, 1]^2)/8 - (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (18*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) - 
   (268*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 
    1] - 2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {2, 0}, {0, 0}, {0, 0}, 1] -> (4019*Pi^4)/204120 + 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (55*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (51*H[{3, 0}, {0, 0}, 1]^2)/56 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (361*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (55*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] + 
   (12*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (55*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 - 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {0, 0}, {1, 0}, 1] -> (1147*Pi^4)/68040 + 
   (4*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/63 - (347*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (687*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (1747*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (33811*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (227*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (227*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(112*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (9383*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (228*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 - 
   (69*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {0, 0}, {2, 0}, 1] -> (53*Pi^4)/12960 + 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/36 - (29*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (2531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(224*Sqrt[3]) - 
   (797*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(16*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/16 - (Pi^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (73*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (415*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(120*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/40 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] + (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2, 
 H[{6, 1}, {2, 0}, {0, 0}, {3, 0}, 1] -> (2119*Pi^4)/816480 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (181*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (15*H[{3, 0}, {0, 0}, 1]^2)/56 - (Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (1069*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (13577*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (1171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1187*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) + 
   (76*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (183*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 + 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {0, 0}, {3, 1}, 1] -> (2489*Pi^4)/816480 - 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/
    756 - (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (41*H[{3, 0}, {0, 0}, 1]^2)/28 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (307*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (4273*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1367*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (1041*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {0, 0}, {6, 0}, 1] -> (5*Pi^4)/2916 + 
   (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (35*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (605*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3343*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (638*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (55*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {2, 0}, {1, 0}, {0, 0}, 1] -> (79*Pi^4)/12960 - 
   (5*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/9 + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (33*H[{3, 0}, {0, 0}, 1]^2)/64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(54*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (40993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (12731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2441*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (349*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 + 
   (11*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/2, 
 H[{6, 1}, {2, 0}, {1, 0}, {1, 0}, 1] -> (1217*Pi^4)/90720 - 
   (13*Pi^3*H[{2, 0}, 1])/(504*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (67*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/28 - (Pi^2*H[{3, 1}, {2, 0}, 1])/84 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (235*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (97*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (263*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (30853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {2, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {2, 0}, {1, 0}, {2, 0}, 1] -> 
  (-137*Pi^4)/22680 + (29*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/27 - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (Pi^2*H[{3, 0}, {0, 0}, 1])/7 - 
   (2521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (103*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (821*H[{3, 0}, {0, 0}, 1]^2)/448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2 - 
   (443*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (955*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (22633*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (731*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1459*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(600*Sqrt[3]) + 
   (1157*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   3*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (45*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {1, 0}, {3, 0}, 1] -> (5*Pi^4)/2268 + 
   (5015*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (5*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + (137*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi^2*H[{3, 1}, 1]^2)/36 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (2743*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (995*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (29*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (11*H[{3, 0}, {0, 0}, 1]^2)/
    336 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (17*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (2707*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (1369*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (29*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (156173*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (5599*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (16501*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5021*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1680*Sqrt[3]) + 
   (509*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (71*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] + (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1], H[{6, 1}, {2, 0}, {1, 0}, {3, 1}, 1] -> 
  (-4477*Pi^4)/816480 - (8839*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/9 + (2*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + (4*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (823*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (1639*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   2*H[{3, 1}, {2, 0}, 1]^2 - (446*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (3169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (59*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (98669*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) - 
   (967*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/100 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (31*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1499*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (16661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (47*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] - 3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (58*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (8*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {1, 0}, {6, 0}, 1] -> (4967*Pi^4)/408240 - 
   (397*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) + (3*Sqrt[3]*Pi^3*H[{2, 0}, 1])/
    224 + (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(16*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (487*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (1985*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (117*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (67*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, 1]^2)/448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (1769*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (44*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (17333*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (12511*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (155*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (5149*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (661*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (167*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + 3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {2, 0}, {0, 0}, 1] -> (265*Pi^4)/54432 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (187*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (243*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (1153*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/14 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(16*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (557*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (411*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/32 - 
   (51*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {2, 0}, {2, 0}, {1, 0}, 1] -> (2231*Pi^4)/272160 + 
   (269*Pi^3*H[{2, 0}, 1])/(18144*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/18 - 
   (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + (145*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1512 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (8*Sqrt[3]) - (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (2707*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (241*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (1541*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/4 + (1381*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3024*Sqrt[3]) - (3025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (647*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (6183*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2669*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (327*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (24*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{6, 1}, {2, 0}, {2, 0}, {2, 0}, 1] -> (499*Pi^4)/612360 - 
   (38*Pi^3*H[{2, 0}, 1])/(5103*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (11*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (5*Pi^2*H[{3, 1}, 1]^2)/216 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (229*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4536 + (445*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (113*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (9*H[{3, 0}, {0, 0}, 1]^2)/112 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/378 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    6 - (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (41*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (78481*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) - 
   (2903*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (863*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (1499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(336*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {2, 0}, {2, 0}, {3, 0}, 1] -> (2371*Pi^4)/816480 - 
   (23923*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (13*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (493*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (7213*Pi^2*H[{3, 0}, {0, 0}, 1])/12096 - 
   (377*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (1117*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (Pi^2*H[{3, 1}, {2, 0}, 1])/210 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (893*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (6845*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (16*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (3281*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3150*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (29*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (703*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (17*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(72*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (131*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (299*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (253*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   (9*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {2, 0}, {3, 1}, 1] -> (-71*Pi^4)/10080 + 
   (101*Pi^3*H[{2, 0}, 1])/(51030*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (11*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (2957*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (83*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (761*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (115*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (5337*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (27*Pi^2*H[{3, 1}, {2, 0}, 1])/140 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (3*H[{3, 1}, {2, 0}, 1]^2)/2 - (1642*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (556*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (89*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (228563*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (2977*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (191*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1261*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (779*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (11*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (554*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (701*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (577*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (449*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (729*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {2, 0}, {6, 0}, 1] -> (7*Pi^4)/34992 - 
   (2*Pi^3*H[{2, 0}, 1])/(81*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (7*Pi^2*H[{3, 0}, {0, 0}, 1])/96 - 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (3*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (3*Sqrt[3]) + (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (71*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 1}, {2, 0}, {3, 0}, {0, 0}, 1] -> (-3379*Pi^4)/816480 - 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (73*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 + (179*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/112 + (23*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (9*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (1265*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (349*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (6739*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (193*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (181*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7 + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 0}, {1, 0}, 1] -> (-7*Pi^4)/1620 - 
   (2509*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (89*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1080 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (527*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (2491*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (233*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (151*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (9*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (1603*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) + (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (331*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (48403*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (313*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {2, 0}, {3, 0}, {2, 0}, 1] -> 
  (-433*Pi^4)/816480 + (611*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (199*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (1111*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (1667*H[{3, 0}, {0, 0}, 1]^2)/2240 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (841*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (1357*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (62533*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (2893*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4463*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (188*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (83*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (9*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (757*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (97*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 0}, {3, 0}, 1] -> (-803*Pi^4)/244944 - 
   (2*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (4*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (10*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (139*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (1031*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2069*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) - 
   (132*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (176*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (128*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(225*Sqrt[3]) + 
   (48*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 - 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {3, 0}, {3, 1}, 1] -> (-37*Pi^4)/43740 - 
   (3301*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (67*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/360 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/192 - 
   (373*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (149*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (1403*H[{3, 0}, {0, 0}, 1]^2)/
    1920 + (83*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (1777*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) + (427*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (209*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (99397*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (3391*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (353*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (26819*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (1027*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (877*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (57*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/5 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {2, 0}, {3, 0}, {6, 0}, 1] -> 
  (-13379*Pi^4)/816480 - (47441*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) + 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 + (5*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (5083*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (10489*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (571*H[{3, 0}, {0, 0}, 1]^2)/224 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + H[{3, 1}, {2, 0}, 1]^2 - 
   (452371*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(181440*Sqrt[3]) + 
   (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (9907*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (91*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (85927*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (4801*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (40783*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (1349*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (86267*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (9763*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (35207*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (981*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (958*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (10*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (130*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {3, 1}, {0, 0}, 1] -> (277*Pi^4)/272160 + 
   (Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (95*H[{3, 0}, {0, 0}, 1]^2)/224 + (61*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (887*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (6187*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (1111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (467*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (92*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (10*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/7, 
 H[{6, 1}, {2, 0}, {3, 1}, {1, 0}, 1] -> (-59*Pi^4)/12960 + 
   (1127*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/90 - (Pi^2*H[{3, 1}, 1]^2)/18 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (35*Pi^2*H[{3, 0}, {0, 0}, 1])/144 - 
   (4447*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (25*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (259*H[{3, 0}, {0, 0}, 1]^2)/
    80 + (311*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3*H[{3, 1}, {2, 0}, 1]^2)/2 + (491*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1620*Sqrt[3]) + (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (49*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (304873*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (8209*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (311*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (788*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(175*Sqrt[3]) - 
   (216*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 1}, {2, 0}, 1] -> (2083*Pi^4)/136080 + 
   (691*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (292*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    945 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (2657*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (8903*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (359*H[{3, 0}, {0, 0}, 1]^2)/140 - (269*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 + (6259*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (121*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (7241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) + 
   (803*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (563*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2573*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (146*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (52*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (1315*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (573*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (643*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {3, 1}, {3, 0}, 1] -> (211*Pi^4)/2449440 + 
   (5699*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (37*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (53*Pi^2*H[{3, 0}, {0, 0}, 1])/189 + 
   (2279*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + (379*H[{3, 0}, {0, 0}, 1]^2)/
    336 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (13799*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (4001*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (7003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) - 
   (264*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (31*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (6859*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (96*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/Sqrt[3] + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (35*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 1}, {3, 1}, 1] -> (2011*Pi^4)/244944 - 
   (209*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (1511*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (2497*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (169*H[{3, 0}, {0, 0}, 1]^2)/105 - (881*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2 + (10061*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (3953*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (16789*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (3107*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1397*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (29081*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (36*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (51*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (268*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (151*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (177*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (282*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {2, 0}, {3, 1}, {6, 0}, 1] -> (247*Pi^4)/38880 + 
   (367*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/27 + 
   (25*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    36 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (155*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - 
   (17813*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (793*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (283*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/4 - (Pi^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (61*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (36*Sqrt[3]) - (755*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (166987*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (7481*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3151*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (153*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (24929*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (3081*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (19171*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (793*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (50*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 0}, {0, 0}, 1] -> (-13*Pi^4)/2916 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (15*H[{3, 0}, {0, 0}, 1]^2)/
    32 - (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (101*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {2, 0}, {6, 0}, {1, 0}, 1] -> 
  (-5*Pi^4)/1458 - (Pi^3*H[{3, 1}, 1])/(54*Sqrt[3]) - 
   (49*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (41*H[{3, 0}, {0, 0}, 1]^2)/
    64 - (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (127*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(432*Sqrt[3]) + 
   (803*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1680*Sqrt[3]) - 
   (97*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (503*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {2, 0}, {6, 0}, {2, 0}, 1] -> (-7*Pi^4)/3888 + 
   (Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (7*Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - (43*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (1243*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (9*H[{3, 0}, {0, 0}, 1]^2)/
    64 - (Pi^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (11*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (16733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(30240*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/1120 - 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (17819*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (9*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2800*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 
    1], H[{6, 1}, {2, 0}, {6, 0}, {3, 0}, 1] -> 
  (33407*Pi^4)/2449440 + (178357*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - 
   (59*Sqrt[3]*Pi^3*H[{2, 0}, 1])/1120 - (2*Pi^2*H[{2, 0}, 1]^2)/27 + 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (2267*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + (Pi^2*H[{3, 1}, 1]^2)/36 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (505*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (29189*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (963*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (323*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) - 
   (35*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (4771*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (499*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1] - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (440519*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) - (1417*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (59*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (20543*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) + 
   (2763*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (9*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (86389*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (3263*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (10*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (29783*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (981*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (640*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (18*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (311*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 0}, {3, 1}, 1] -> (-883*Pi^4)/244944 - 
   (13547*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/162 - 
   (17*Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - 
   (1097*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (12769*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (781*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (29*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (2333*H[{3, 0}, {0, 0}, 1]^2)/
    4480 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/105 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (8251*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) - (1853*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (74993*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) - 
   (3773*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7241*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (96847*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (3401*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (251*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (193*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (13*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (194*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   3*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (10*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {2, 0}, {6, 0}, {6, 0}, 1] -> (137*Pi^4)/40824 + 
   (4*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) + 
   (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 + (Pi^2*H[{3, 1}, 1]^2)/27 + 
   (17*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (8*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (39*H[{3, 0}, {0, 0}, 1]^2)/112 - (22*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (10*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (1393*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (1389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (89*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (281*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {2, 0}, {6, 1}, {0, 0}, 1] -> (3587*Pi^4)/163296 + 
   (37*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(36*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/9 - 
   (115*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (185*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (753*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (149*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (185*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (111*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {2, 0}, {6, 1}, {1, 0}, 1] -> (1699*Pi^4)/81648 - 
   (Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (527*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (823*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (547*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1512*Sqrt[3]) - (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (81863*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (1551*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (109*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) + 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3011*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(700*Sqrt[3]) - 
   (141*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (185*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (111*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 0}, {0, 0}, {0, 0}, 1] -> (283*Pi^4)/51030 - 
   (61*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 + (Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (211*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (75*H[{3, 0}, {0, 0}, 1]^2)/224 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (57*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 0}, {0, 0}, {1, 0}, 1] -> (41*Pi^4)/19440 + 
   (11*Pi^3*H[{2, 0}, 1])/(324*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    54 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/288 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, 1]^2)/32 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/54 + 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (13603*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(12*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1], 
 H[{6, 1}, {3, 0}, {0, 0}, {2, 0}, 1] -> 
  Pi^4/1296 - (13*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/108 + (257*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 + (29*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (21*H[{3, 0}, {0, 0}, 1]^2)/32 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (67*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/200 + 
   (481*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (69*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {0, 0}, {3, 0}, 1] -> (7841*Pi^4)/1224720 + 
   (5*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (67*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 + (473*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1373*H[{3, 0}, {0, 0}, 1]^2)/1344 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (853*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (7297*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1344*Sqrt[3]) + 
   (953*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/448 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (253*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (9647*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (421*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/42 + 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {0, 0}, {3, 1}, 1] -> (-743*Pi^4)/244944 - 
   (319*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (197*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (823*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (1069*H[{3, 0}, {0, 0}, 1]^2)/1344 + (29*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2291*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(2268*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (55499*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (7611*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (53*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (4103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (239*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (487*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (220*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {0, 0}, {6, 0}, 1] -> (-6113*Pi^4)/1224720 + 
   (25*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (34*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (2117*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (143*H[{3, 0}, {0, 0}, 1]^2)/448 + (34*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (739*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (437*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (16451*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (477*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (21277*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (671*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (10427*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (199*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (704*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (68*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {1, 0}, {0, 0}, 1] -> (-659*Pi^4)/816480 - 
   (47*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (47*Pi^2*H[{3, 0}, {0, 0}, 1])/
    252 - (13*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(14*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (107*H[{3, 0}, {0, 0}, 1]^2)/224 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (107*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (53*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(120*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (1507*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {1, 0}, {1, 0}, 1] -> (173*Pi^4)/204120 - 
   (112363*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (19*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + 
   (143*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/7560 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 - (4141*Pi^2*H[{3, 0}, {0, 0}, 1])/108864 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (43*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5293*H[{3, 0}, {0, 0}, 1]^2)/13440 - (197*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (631*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) - (2203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (31*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (328571*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (3921*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 + 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (16517*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (461*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3959*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/20 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (941*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {3, 0}, {1, 0}, {2, 0}, 1] -> 
  (133*Pi^4)/38880 - (191*Pi^3*H[{2, 0}, 1])/(6480*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (53*Pi^2*H[{3, 0}, {0, 0}, 1])/864 + 
   (115*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (251*H[{3, 0}, {0, 0}, 1]^2)/320 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/90 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (581*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1080*Sqrt[3]) - (605*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (142999*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (13851*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (14789*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (1441*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/2 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/10 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {3, 0}, {1, 0}, {3, 0}, 1] -> (-2951*Pi^4)/816480 - 
   (37*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (53*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (19*H[{3, 0}, {0, 0}, 1]^2)/1120 + (Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (607*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1890*Sqrt[3]) + 
   (685*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (25849*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (2321*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (703*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2579*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (74*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {1, 0}, {3, 1}, 1] -> (11*Pi^4)/29160 - 
   (4411*Pi^3*H[{2, 0}, 1])/(349920*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (19*Pi^3*H[{3, 1}, 1])/(432*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    360 + (Pi^2*H[{3, 1}, 1]^2)/72 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + (257*Pi^2*H[{3, 0}, {0, 0}, 1])/
    15552 + (77*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(864*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (311*H[{3, 0}, {0, 0}, 1]^2)/
    1920 + (4*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1327*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3240*Sqrt[3]) - (655*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2592 - 
   (19*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (488851*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(302400*Sqrt[3]) + 
   (6011*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (4847*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (35*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (27037*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (851*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (601*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/27 - 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (31*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/120 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {1, 0}, {6, 0}, 1] -> (16013*Pi^4)/2449440 + 
   (499*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (5897*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (109*H[{3, 0}, {0, 0}, 1]^2)/336 - (353*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (1969*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) - (2963*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (8875*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4032*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/64 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2441*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/16 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (92*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (230*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (39*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {2, 0}, {0, 0}, 1] -> (59*Pi^4)/408240 + 
   (5*Pi^3*H[{2, 0}, 1])/(189*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (311*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (61*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/224 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 0}, {2, 0}, {1, 0}, 1] -> (-151*Pi^4)/54432 + 
   (983*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (395*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (3835*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (177*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (389*H[{3, 0}, {0, 0}, 1]^2)/1680 - (41*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (323*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (439*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (103*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (5863*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (1831*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1189*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + H[{3, 0}, {0, 0}, {1, 0}, 
    {2, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {3, 0}, {2, 0}, {2, 0}, 1] -> 
  (143*Pi^4)/816480 - (269*Pi^3*H[{2, 0}, 1])/(15120*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1039*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (577*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (181*H[{3, 0}, {0, 0}, 1]^2)/420 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (2809*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) - (27*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/112 + 
   (9703*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) - 
   (1443*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (13*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (16183*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (1797*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (31*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (207*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (69*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (69*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {3, 0}, {2, 0}, {3, 0}, 1] -> 
  (28411*Pi^4)/2449440 + (67*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/81 + (46*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (101*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (1469*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (55*H[{3, 0}, {0, 0}, 1]^2)/168 - (121*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (19*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (3287*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (127487*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) + 
   (2849*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (647*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (33751*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (100*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (446*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (92*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {2, 0}, {3, 1}, 1] -> (-4409*Pi^4)/349920 - 
   (107*Pi^3*H[{2, 0}, 1])/(3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/27 - 
   (59*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    4 + (19*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (437*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (175*H[{3, 0}, {0, 0}, 1]^2)/96 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (7*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (1171*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (35443*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6720*Sqrt[3]) - 
   (5027*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5137*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (14659*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (657*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (20*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (5*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] + (7*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/8 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {2, 0}, {6, 0}, 1] -> (89*Pi^4)/816480 - 
   (1529*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (355*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (1627*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (461*H[{3, 0}, {0, 0}, 1]^2)/1120 + (887*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/3 - (1789*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (4937*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (797*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(11200*Sqrt[3]) + 
   (1639*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (877*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (143*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4633*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (482*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (286*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {3, 0}, {0, 0}, 1] -> (-1739*Pi^4)/408240 - 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (Pi^2*H[{3, 0}, {0, 0}, 1])/756 - 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (129*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/28 - 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (29083*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (12561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (817*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 0}, {3, 0}, {1, 0}, 1] -> (19*Pi^4)/7560 - 
   (4099*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    22680 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (29*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (9791*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (323*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (251*H[{3, 0}, {0, 0}, 1]^2)/13440 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (2249*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (2711*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (66527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (8943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5321*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (8237*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (813*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (199*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (122*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 0}, {3, 0}, {2, 0}, 1] -> (-1181*Pi^4)/174960 - 
   (11*Pi^3*H[{2, 0}, 1])/(1215*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/810 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (31*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (19*H[{3, 0}, {0, 0}, 1]^2)/
    40 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/810 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3240*Sqrt[3]) - 
   (305*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 + 
   (99943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (35741*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (631*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (86477*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (3431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1979*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (41*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 0}, {3, 0}, {3, 0}, 1] -> (2*Pi^4)/3645 - 
   (Pi^3*H[{2, 0}, 1])/(4860*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + H[{3, 0}, {0, 0}, 1]^2/40 - 
   (2*Pi^2*H[{3, 1}, {2, 0}, 1])/405 - (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/
    18 - (173*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9720*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(336*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (17*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/10 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/15 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/15 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 1}, {3, 0}, {3, 0}, {3, 1}, 1] -> (-2813*Pi^4)/2449440 + 
   (337*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (689*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    54 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (781*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 + (3331*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (5773*H[{3, 0}, {0, 0}, 1]^2)/13440 + (41*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1423*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (17010*Sqrt[3]) - (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1681*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (2929*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (29*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (13213*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (429*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4283*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (7*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {3, 0}, {3, 0}, {6, 0}, 1] -> (61*Pi^4)/34992 + 
   (5*Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/54 + (11*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (27*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 + 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (43*H[{3, 0}, {0, 0}, 1]^2)/576 - (Pi^2*H[{3, 1}, {2, 0}, 1])/54 - 
   (32*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   H[{3, 1}, {2, 0}, 1]^2/9 - (4*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 0}, {3, 1}, {0, 0}, 1] -> (713*Pi^4)/816480 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (19*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (241*H[{3, 0}, {0, 0}, 1]^2)/448 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (1681*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(896*Sqrt[3]) + 
   (619*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (599*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (443*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(560*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (8*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 0}, {3, 1}, {1, 0}, 1] -> (-1721*Pi^4)/816480 - 
   (251*Pi^3*H[{2, 0}, 1])/(122472*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (25*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (18*Sqrt[3]) + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + 
   (499*Pi^2*H[{3, 0}, {0, 0}, 1])/54432 + 
   (7597*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (213*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (295*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (359*H[{3, 0}, {0, 0}, 1]^2)/
    1344 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1415*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) + (319*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (34513*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(30240*Sqrt[3]) + 
   (383*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (125*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2016*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (451*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1193*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (531*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (368*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {3, 1}, {2, 0}, 1] -> (12769*Pi^4)/1224720 + 
   (8317*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) + (1621*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (4927*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (397*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (4829*H[{3, 0}, {0, 0}, 1]^2)/3360 - (274*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (2096*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2835*Sqrt[3]) + (4085*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (57*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (38359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (1573*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (122929*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (5107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (17*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (41*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (571*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1087*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (137*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (571*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (991*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {3, 1}, {3, 0}, 1] -> (-527*Pi^4)/489888 - 
   (89*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    756 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/
    12 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/336 - 
   (2545*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (9*H[{3, 0}, {0, 0}, 1]^2)/28 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (5119*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(13608*Sqrt[3]) + 
   (4229*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (37181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (537*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (3203*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (2099*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (1727*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (629*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 - 
   (39*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 0}, {3, 1}, {3, 1}, 1] -> 
  Pi^4/19440 - (2651*Pi^3*H[{2, 0}, 1])/(174960*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/972 - (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - 
   (25*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    540 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/
    108 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/1944 - 
   (71*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(432*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (77*H[{3, 0}, {0, 0}, 1]^2)/
    320 + (37*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (3937*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9720*Sqrt[3]) - (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (47*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (37957*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) + 
   (517*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (199*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (6299*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (7*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (347*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/30 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/60 - 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {3, 1}, {6, 0}, 1] -> (-769*Pi^4)/76545 + 
   (2291*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (91*Pi^2*H[{2, 0}, 1]^2)/
    1944 - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (499*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (193*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (20045*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(12096*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/64 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (22853*H[{3, 0}, {0, 0}, 1]^2)/20160 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/
    630 + (25*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (8*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/18 - (1751*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (7855*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (220903*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (21109*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (4153*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (43093*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1919*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (605*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (766*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (109*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (109*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (416*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 0}, {6, 0}, {0, 0}, 1] -> (67*Pi^4)/136080 - 
   (73*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (37*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + (163*Pi^2*H[{3, 0}, {0, 0}, 1])/
    504 + (307*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (621*H[{3, 0}, {0, 0}, 1]^2)/448 - (37*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (905*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (95*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(300*Sqrt[3]) - 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (248*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (15*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {6, 0}, {1, 0}, 1] -> (451*Pi^4)/816480 - 
   (659*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (251*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (137*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (3029*H[{3, 0}, {0, 0}, 1]^2)/6720 - (251*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (23*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 - (1009*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (2179*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1200*Sqrt[3]) + 
   (1627*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (113*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (87*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (201*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {6, 0}, {2, 0}, 1] -> (-3317*Pi^4)/2449440 - 
   (163*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (4145*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 + (347*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (87*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (137*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (2268*Sqrt[3]) + (3341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (313477*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (1493*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (68897*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (2411*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1564*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (62*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (400*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (23*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 + 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 0}, {3, 0}, 1] -> (2911*Pi^4)/306180 - 
   (419*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (4*Pi^2*H[{2, 0}, 1]^2)/243 - 
   (10*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 - (8*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/3 - 
   (667*Pi^2*H[{3, 0}, {0, 0}, 1])/4536 + 
   (403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + 
   (47*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (841*H[{3, 0}, {0, 0}, 1]^2)/448 - (13*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (47*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/9 + (397*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1134*Sqrt[3]) - (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 + 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (74527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) + 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (71*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (7717*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (62*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (211*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1154*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (17*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (43*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (8*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 0}, {3, 1}, 1] -> (-6151*Pi^4)/2449440 + 
   (2101*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (13*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (73*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (3803*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (37*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (5479*H[{3, 0}, {0, 0}, 1]^2)/6720 - (181*Pi^2*H[{3, 1}, {2, 0}, 1])/
    3780 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (37*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/9 - (1921*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/560 + 
   (389*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (13717*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (891*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (3067*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (40*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (977*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (227*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/9 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (1093*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (188*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 0}, {6, 0}, 1] -> (1391*Pi^4)/408240 - 
   (2257*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) - (367*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (317*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 - 
   (893*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (2329*H[{3, 0}, {0, 0}, 1]^2)/6720 + (367*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (1615*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (165271*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) + 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (9047*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (949*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (333*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (263*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (473*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 0}, {6, 1}, {0, 0}, 1] -> (73*Pi^4)/10206 - 
   (499*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/36 + 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (2963*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 + (529*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (9*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (939*H[{3, 0}, {0, 0}, 1]^2)/448 - (89*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (9*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (1819*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (13003*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (5001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (380*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {6, 1}, {1, 0}, 1] -> (541*Pi^4)/54432 - 
   (143*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/108 + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (3103*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (167*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (35*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2047*H[{3, 0}, {0, 0}, 1]^2)/1344 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (35*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (223*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) - (103*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (54109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) + 
   (1043*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (23*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(28*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 - 
   4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (380*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/2 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] - H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1] + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (48*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 0}, {6, 1}, {2, 0}, 1] -> (-1489*Pi^4)/153090 - 
   (7747*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (421*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (5609*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (563*H[{3, 0}, {0, 0}, 1]^2)/1120 + (211*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (25*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(72*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (4517*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (5670*Sqrt[3]) + (9451*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (37579*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) + 
   (719*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (499*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (269*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (283*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(360*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (127*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/10 - 
   (8*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (32*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (589*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (353*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (248*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   (11*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (11*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {0, 0}, {0, 0}, 1] -> (599*Pi^4)/163296 + 
   (65*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/112 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (137*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (139*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (893*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 1}, {0, 0}, {1, 0}, 1] -> (23*Pi^4)/10080 - 
   (29*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + 
   (55*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (499*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (137*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) + 
   (65*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (45*H[{3, 0}, {0, 0}, 1]^2)/448 - (55*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (2747*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (699*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (145*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(56*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (4183*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (1011*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (229*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (51*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (123*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 1}, {0, 0}, {2, 0}, 1] -> (1229*Pi^4)/204120 + 
   (19*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - 
   (65*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (253*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (395*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (27*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/14 - 
   (6*H[{3, 0}, {0, 0}, 1]^2)/7 + (65*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 + 
   (22*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/21 + 
   (4267*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (433*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(168*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (461*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (149*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (10*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 1}, {0, 0}, {3, 0}, 1] -> (-15851*Pi^4)/2449440 - 
   (277*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + (47*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (475*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (1993*H[{3, 0}, {0, 0}, 1]^2)/1344 + (79*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (3511*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (635*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (9281*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2240*Sqrt[3]) - 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/320 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (3047*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2353*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(720*Sqrt[3]) + 
   (633*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (74*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (304*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (79*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {0, 0}, {3, 1}, 1] -> (2227*Pi^4)/612360 + 
   (353*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + 
   (31*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - (43*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (583*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (649*H[{3, 0}, {0, 0}, 1]^2)/1344 - (31*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (4511*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (157*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (1643*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2400*Sqrt[3]) + 
   (789*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (4253*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (2491*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) + 
   (431*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4621*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (295*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (277*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (95*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {0, 0}, {6, 0}, 1] -> (37*Pi^4)/174960 + 
   (19*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 - (35*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + 
   (761*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (49*H[{3, 0}, {0, 0}, 1]^2)/64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/81 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (227*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 + 
   (51209*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (6001*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (8123*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (249*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3901*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3600*Sqrt[3]) + 
   (63*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2162*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (71*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {1, 0}, {0, 0}, 1] -> (2969*Pi^4)/816480 + 
   (167*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + 
   (401*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (25*H[{3, 0}, {0, 0}, 1]^2)/448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/8 - 
   (36643*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (561*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 - 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(8*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (913*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 
    1] - (145*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   (43*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 1}, {1, 0}, {1, 0}, 1] -> (913*Pi^4)/408240 + 
   (125021*Pi^3*H[{2, 0}, 1])/(2449440*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/486 - 
   (11*Pi^3*H[{3, 1}, 1])/(1296*Sqrt[3]) - (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    280 + (Pi^2*H[{3, 1}, 1]^2)/72 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + (18539*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 - (4531*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (119*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (169*H[{3, 0}, {0, 0}, 1]^2)/
    13440 + (349*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/12 + (1327*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (15120*Sqrt[3]) + (8717*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 + (203*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (25001*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(15120*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (43*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (737*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (139*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (313*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/20 + 
   (59*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (29*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2797*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/12 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (139*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (227*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {1, 0}, {2, 0}, 1] -> (5851*Pi^4)/408240 + 
   (13*Pi^3*H[{2, 0}, 1])/(5670*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (551*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/2 - (19*Pi^2*H[{3, 0}, {0, 0}, 1])/224 + 
   (47*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (55*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5721*H[{3, 0}, {0, 0}, 1]^2)/2240 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (19*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(36*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/3 + (151*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (89*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (77*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(24*Sqrt[3]) - 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (323*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (373*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (10*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (403*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) - 
   (123*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (320*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (657*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (236*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {1, 0}, {3, 0}, 1] -> (37*Pi^4)/23328 - 
   (395*Pi^3*H[{2, 0}, 1])/(23328*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (5*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (35*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    648 + (Pi^2*H[{3, 1}, 1]^2)/72 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (125*Pi^2*H[{3, 0}, {0, 0}, 1])/576 - 
   (247*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (485*H[{3, 0}, {0, 0}, 1]^2)/
    384 + (7*Pi^2*H[{3, 1}, {2, 0}, 1])/108 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/4 + 
   (85*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) + 
   (341*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/864 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (18449*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(20160*Sqrt[3]) - 
   (927*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2240 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1345*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (239*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1] + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {1, 0}, {3, 1}, 1] -> (673*Pi^4)/816480 + 
   (4847*Pi^3*H[{2, 0}, 1])/(153090*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (Pi^3*H[{3, 1}, 1])/(144*Sqrt[3]) - (533*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 + (Pi^2*H[{3, 1}, 1]^2)/36 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/108 + (14737*Pi^2*H[{3, 0}, {0, 0}, 1])/
    54432 - (1901*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (401*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - (1583*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (142*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/3 - 
   (11933*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) + 
   (1007*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 + 
   (97*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/48 - 
   (1153793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (11833*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (6119*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (99*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7691*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (573*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (4303*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (187*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (1097*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (673*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {1, 0}, {6, 0}, 1] -> (-401*Pi^4)/306180 - 
   (439*Pi^3*H[{2, 0}, 1])/(45360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (10*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (134*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (2959*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (1723*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (7139*H[{3, 0}, {0, 0}, 1]^2)/3360 + (239*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/3 + (42851*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (181440*Sqrt[3]) + (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/64 + 
   (799*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (224591*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (7513*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (5023*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (39661*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (683*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (97*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (262*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (299*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   4*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (59*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + (13*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (136*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {2, 0}, {0, 0}, 1] -> (-173*Pi^4)/81648 - 
   (Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) + (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (233*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (3*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (159*H[{3, 0}, {0, 0}, 1]^2)/224 - (19*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (2341*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (121*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/400 + 
   (209*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (1243*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (33*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 1}, {2, 0}, {1, 0}, 1] -> (587*Pi^4)/204120 - 
   (229*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 + 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (50*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (205*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (117*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (2917*H[{3, 0}, {0, 0}, 1]^2)/6720 - (4*Pi^2*H[{3, 1}, {2, 0}, 1])/315 - 
   (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (907*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3780*Sqrt[3]) + (11*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/252 + 
   (43*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (839*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (3173*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/100 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (1609*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/8 - 
   (157*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (177*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (47*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {2, 0}, {2, 0}, 1] -> (-23*Pi^4)/12960 + 
   (97*Pi^3*H[{2, 0}, 1])/(6480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/135 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (12*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (13127*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (439*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (11*H[{3, 0}, {0, 0}, 1]^2)/60 + (Pi^2*H[{3, 1}, {2, 0}, 1])/135 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 - 
   (143*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(720*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (176479*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (19251*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (251*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(336*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (35869*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (4001*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 + 
   (13*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/8 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (57*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {2, 0}, {3, 0}, 1] -> (-2161*Pi^4)/489888 - 
   (2683*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (121*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (1331*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (143*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (43*H[{3, 0}, {0, 0}, 1]^2)/280 + (169*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (6553*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (1399*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/280 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (187*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(240*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (33431*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (259*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (79*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (283*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (242*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {2, 0}, {3, 1}, 1] -> (-16679*Pi^4)/2449440 - 
   (647*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (997*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (421*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (521*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (247*H[{3, 0}, {0, 0}, 1]^2)/840 + (367*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (6953*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (2375*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 - 
   (19729*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (192*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (503*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(90*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1124*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (59*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (682*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (376*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/2 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 - 
   (201*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (551*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (131*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {2, 0}, {6, 0}, 1] -> (-73*Pi^4)/204120 + 
   (4777*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (67*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (253*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (409*H[{3, 0}, {0, 0}, 1]^2)/560 - (293*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (871*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (7560*Sqrt[3]) + (1139*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (47651*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(33600*Sqrt[3]) - 
   (737*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (23*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2881*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) + 
   (67*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (370*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (149*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 + 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {3, 0}, {0, 0}, 1] -> (227*Pi^4)/90720 + 
   (Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 - (97*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (103*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (73*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (589*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (21401*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (7667*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (359*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(224*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) - 
   (697*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(16*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/112 + 
   (8*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (27*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 1}, {3, 0}, {1, 0}, 1] -> (-283*Pi^4)/136080 + 
   (2833*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (113*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (169*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (613*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (203*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2729*H[{3, 0}, {0, 0}, 1]^2)/3360 - (11*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (6163*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (2651*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (163*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (569231*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (22693*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (15313*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (363*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (33317*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (2733*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (46*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (361*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {3, 0}, {2, 0}, 1] -> (-13759*Pi^4)/2449440 - 
   (1313*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(108*Sqrt[3]) - (1751*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (913*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (115*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (407*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (47*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (5741*H[{3, 0}, {0, 0}, 1]^2)/2240 + (613*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (27593*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (1207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (32351*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (451*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (5903*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) + 
   (1499*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (25309*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (887*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1] + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (806*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1061*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (493*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (53*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   (911*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (1121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (8*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {3, 0}, {3, 0}, 1] -> (-1241*Pi^4)/306180 + 
   (13*Pi^3*H[{2, 0}, 1])/(17010*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (22*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    54 + (11*Pi^2*H[{3, 0}, {0, 0}, 1])/168 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (57*H[{3, 0}, {0, 0}, 1]^2)/560 + (127*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + H[{3, 1}, {2, 0}, 1]^2/6 + 
   (3253*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(68040*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (2417*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) - 
   (1111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1289*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (193*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (355*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (87*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (22*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/105 - 
   (44*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 1}, {3, 1}, {3, 0}, {3, 1}, 1] -> (767*Pi^4)/408240 + 
   (851*Pi^3*H[{2, 0}, 1])/(25515*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]^2)/324 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (1296*Sqrt[3]) + (194*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (25*Pi^2*H[{3, 0}, {0, 0}, 1])/112 + 
   (62*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (89*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (151*H[{3, 0}, {0, 0}, 1]^2)/
    840 - (601*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - H[{3, 1}, {2, 0}, 1]^2/3 - 
   (39817*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(136080*Sqrt[3]) - 
   (895*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (95*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (1633*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1008*Sqrt[3]) - 
   (281*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1259*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   (3749*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2520*Sqrt[3]) + 
   (103*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (146*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (187*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (4*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (169*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (461*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9, 
 H[{6, 1}, {3, 1}, {3, 0}, {6, 0}, 1] -> (11497*Pi^4)/2449440 - 
   (7289*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (71*Pi^2*H[{2, 0}, 1]^2)/
    1944 + (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (187*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (10*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (89*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (3823*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (17*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (79*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (7*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 + 
   (6971*H[{3, 0}, {0, 0}, 1]^2)/10080 + (407*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (4*H[{3, 1}, {2, 0}, 1]^2)/9 + (29461*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (362880*Sqrt[3]) - (359*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/4480 - 
   (5839*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 - 
   (36361*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (8609*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/160 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (1837*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1209*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (118*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (598*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (59*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 + 
   (269*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {0, 0}, 1] -> (-71*Pi^4)/136080 + 
   (Pi^3*H[{2, 0}, 1])/(168*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (185*H[{3, 0}, {0, 0}, 1]^2)/448 + (Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/Sqrt[3] - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (1067*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {3, 1}, {3, 1}, {1, 0}, 1] -> (73*Pi^4)/38880 - 
   (1349*Pi^3*H[{2, 0}, 1])/(174960*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    405 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi^2*H[{3, 1}, 1]^2)/72 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/27 - (365*Pi^2*H[{3, 0}, {0, 0}, 1])/1944 - 
   (1145*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (4*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (389*H[{3, 0}, {0, 0}, 1]^2)/
    960 - (23*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(405*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6 + 
   (346571*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(75600*Sqrt[3]) - 
   (1793*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (1217*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (1133*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (163*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (34*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (29*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 + 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (341*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/240 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/10 + 
   (7*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {2, 0}, 1] -> (53*Pi^4)/153090 - 
   (1823*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (299*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (509*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (433*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (151*H[{3, 0}, {0, 0}, 1]^2)/3360 + (299*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (4513*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) + (4013*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (3253*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (211*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3150*Sqrt[3]) + 
   (239*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (121*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (261*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (541*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (299*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {3, 0}, 1] -> (943*Pi^4)/612360 - 
   (25273*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (29*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) - (1243*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (Pi^2*H[{3, 1}, 1]^2)/72 + 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (103*Pi^2*H[{3, 0}, {0, 0}, 1])/1344 + 
   (73*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/36 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (5759*H[{3, 0}, {0, 0}, 1]^2)/13440 + (Pi^2*H[{3, 1}, {2, 0}, 1])/35 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (1117601*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1088640*Sqrt[3]) + (51*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/128 + 
   (2257*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (16*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (155419*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (5837*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (8909*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (16339*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) - 
   (61*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1153*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (6*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (143*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {3, 1}, 1] -> (-349*Pi^4)/244944 + 
   (6241*Pi^3*H[{2, 0}, 1])/(489888*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (83*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    4536 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (36*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/54 + (6983*Pi^2*H[{3, 0}, {0, 0}, 1])/
    108864 - (6883*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (7*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (1075*H[{3, 0}, {0, 0}, 1]^2)/2688 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/12 - (493*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3402*Sqrt[3]) + (1859*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (146777*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(151200*Sqrt[3]) + 
   (1117*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (23*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(90*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 + 
   (14953*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (77*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (929*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (46*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/18 + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/21 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/9 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {3, 1}, {6, 0}, 1] -> (4237*Pi^4)/2449440 + 
   (23*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (5*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 - (2693*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (793*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 - 
   (5417*H[{3, 0}, {0, 0}, 1]^2)/20160 - (67*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, 1]^2/18 + (373*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) - (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (4639*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) + 
   (781*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (6569*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3853*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) - 
   (71*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (20*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (9*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (18*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {6, 0}, {0, 0}, 1] -> (-1117*Pi^4)/408240 + 
   (61*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/36 - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (253*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (53*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (811*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/7 + 
   (8831*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) - 
   (3277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (97*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3133*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (237*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (703*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (107*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (4*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (75*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/7 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {3, 1}, {6, 0}, {1, 0}, 1] -> (-3253*Pi^4)/816480 + 
   (401*Pi^3*H[{2, 0}, 1])/(11340*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (89*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (881*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (169*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (13*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (22*H[{3, 0}, {0, 0}, 1]^2)/105 + (89*Pi^2*H[{3, 1}, {2, 0}, 1])/1890 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/6 - (5437*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (31*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 + 
   (6883*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (697*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/5 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (1513*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (87*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (17*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (79*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {6, 0}, {2, 0}, 1] -> (-4619*Pi^4)/2449440 - 
   (901*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 + 
   (11*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) + 
   (143*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (643*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (6053*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (229*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(8*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 - 
   (971*H[{3, 0}, {0, 0}, 1]^2)/2240 - (Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/2 - 
   (17791*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (4283*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (10049*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1800*Sqrt[3]) - 
   (5063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1343*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (111*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (66607*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (2211*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (281*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(45*Sqrt[3]) + 
   (68*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (440*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/12 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (223*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 0}, {3, 0}, 1] -> (-643*Pi^4)/68040 + 
   (101*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (8*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (388*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (2167*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (18161*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (8891*H[{3, 0}, {0, 0}, 1]^2)/6720 + (283*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (3823*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (769*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (56519*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) - 
   (89*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/50 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (1027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3780*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (28*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (7331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (109*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1070*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (1033*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/840 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (20*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 0}, {3, 1}, 1] -> (451*Pi^4)/102060 + 
   (Pi^3*H[{2, 0}, 1])/(105*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/243 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (92*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2835 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (2035*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (1441*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (5339*H[{3, 0}, {0, 0}, 1]^2)/6720 - (79*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   H[{3, 1}, {2, 0}, 1]^2/9 - (17161*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (22680*Sqrt[3]) - (181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (31073*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(14400*Sqrt[3]) + 
   (7733*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (953*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1890*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (721*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1200*Sqrt[3]) - 
   (703*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (13*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 - 
   (38*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2603*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (772*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (839*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (34*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/105 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/18 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] + (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (289*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 - 
   (16*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 0}, {6, 0}, 1] -> 
  -Pi^4/3780 + (1049*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + 
   (7*Pi^2*H[{2, 0}, 1]^2)/162 - (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - 
   (421*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (4*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (367*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (89*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (3713*H[{3, 0}, {0, 0}, 1]^2)/6720 + (421*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (253*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3780*Sqrt[3]) + 
   (1613*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (3527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (281*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (139*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(140*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (421*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (491*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (421*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {3, 1}, {6, 1}, {0, 0}, 1] -> (143*Pi^4)/27216 + 
   (107*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - 
   (13*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - (677*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (359*H[{3, 0}, {0, 0}, 1]^2)/224 + (13*Pi^2*H[{3, 1}, {2, 0}, 1])/756 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (419*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (4939*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (2063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1073*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (391*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {6, 1}, {1, 0}, 1] -> (193*Pi^4)/163296 + 
   (31*Pi^3*H[{2, 0}, 1])/(378*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) - (2479*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (41*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (205*H[{3, 0}, {0, 0}, 1]^2)/224 - 
   (Pi^2*H[{3, 1}, {2, 0}, 1])/756 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/
    (9*Sqrt[3]) - H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (745*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (20417*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (2063*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (503*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (157*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(84*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/4 + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (148*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (4*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {3, 1}, {6, 1}, {2, 0}, 1] -> (2269*Pi^4)/489888 + 
   (191*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 + 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    28 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (1031*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (2237*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (59*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (649*H[{3, 0}, {0, 0}, 1]^2)/448 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/3 + 
   (1027*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (5675*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (63113*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (2299*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2761*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) - 
   (163*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (11*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4307*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (893*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (65*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (89*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (173*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {3, 1}, {6, 1}, {3, 0}, 1] -> (-731*Pi^4)/76545 - 
   (865*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/486 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (275*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (1331*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (2491*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (19*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 - 
   (143*H[{3, 0}, {0, 0}, 1]^2)/84 + (85*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   H[{3, 1}, {2, 0}, 1]^2/18 + (58*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (567*Sqrt[3]) + (8033*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (690617*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (30371*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (385*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(432*Sqrt[3]) + 
   (15*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/112 - 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (84547*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (2761*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (8*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) + 
   (326*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (67*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/168 + 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 - 
   (127*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (28*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {6, 0}, {0, 0}, {0, 0}, 1] -> 
  Pi^4/648 - (5*Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/216 + H[{3, 0}, {0, 0}, 1]^2/8 + 
   (65*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 
    1], H[{6, 1}, {6, 0}, {0, 0}, {1, 0}, 1] -> 
  (1537*Pi^4)/408240 + (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    378 + (139*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (99*H[{3, 0}, {0, 0}, 1]^2)/112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (37*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (11*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(56*Sqrt[3]) - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (5*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {0, 0}, {2, 0}, 1] -> (19*Pi^4)/5832 - 
   (Pi^3*H[{3, 1}, 1])/(27*Sqrt[3]) - (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (5*H[{3, 0}, {0, 0}, 1]^2)/32 + (145*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (216*Sqrt[3]) + (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1] + 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 0}, {0, 0}, {3, 0}, 1] -> (137*Pi^4)/20412 + 
   (8*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) + (16*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    189 - (67*Pi^2*H[{3, 0}, {0, 0}, 1])/672 + 
   (40*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (899*H[{3, 0}, {0, 0}, 1]^2)/448 - (16*Pi^2*H[{3, 1}, {2, 0}, 1])/189 - 
   (349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (40*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 - 
   (32623*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4200*Sqrt[3]) + 
   (484*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (997*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (1031*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(350*Sqrt[3]) - 
   (176*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (22*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (160*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (25*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/14 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {6, 0}, {0, 0}, {3, 1}, 1] -> (-131*Pi^4)/15120 - 
   (11*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (1915*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (151*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (8*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (31*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (905*H[{3, 0}, {0, 0}, 1]^2)/448 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (7361*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) + 
   (131*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (4853*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (1951*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (283*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (661*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (64*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (41*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (8*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {0, 0}, {6, 0}, 1] -> (-7*Pi^4)/972 - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/
    (3*Sqrt[3]) + (13*H[{3, 0}, {0, 0}, 1]^2)/8 - 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (271*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(210*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/70 + 
   (203*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/25 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {0, 0}, 1] -> (-1817*Pi^4)/204120 - 
   (17*Pi^3*H[{2, 0}, 1])/(1134*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - (127*Pi^2*H[{3, 0}, {0, 0}, 1])/
    3024 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(42*Sqrt[3]) - 
   (53*H[{3, 0}, {0, 0}, 1]^2)/28 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (113*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (65*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (22*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/Sqrt[3] - 
   (6*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (352*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (39*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   3*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (34*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {1, 0}, 1] -> (-101*Pi^4)/15120 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (223*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1008 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (127*H[{3, 0}, {0, 0}, 1]^2)/112 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (923*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (163*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {2, 0}, 1] -> (-1187*Pi^4)/408240 - 
   (209*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/
    (54*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/4 - 
   (137*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (221*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (487*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (587*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (47*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (17*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(56*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(7*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {3, 0}, 1] -> (-3329*Pi^4)/349920 - 
   (73*Pi^3*H[{2, 0}, 1])/(29160*Sqrt[3]) - (2*Pi^2*H[{2, 0}, 1]^2)/81 - 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    810 + (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (83*Pi^2*H[{3, 0}, {0, 0}, 1])/288 - 
   (1529*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (12*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (2023*H[{3, 0}, {0, 0}, 1]^2)/
    960 + (271*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (7*H[{3, 1}, {2, 0}, 1]^2)/6 - (499*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (720*Sqrt[3]) + (599*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (2*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 - 
   (4*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (8479*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (313*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (6742*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) - 
   (216*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (1228*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (96*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/40 + 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 - 
   (46*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] + 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {3, 1}, 1] -> (-167*Pi^4)/612360 + 
   (2491*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (77*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (841*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (59*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (1217*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (6*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (131*H[{3, 0}, {0, 0}, 1]^2)/
    560 - (149*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 + (50111*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (1543*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (179*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (31*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (403*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (13409*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) + 
   (108*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (719*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/5 - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (22*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/6 + 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (10*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (76*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] - 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {1, 0}, {6, 0}, 1] -> (17*Pi^4)/17010 + 
   (64*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + 
   (128*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/
    378 + (64*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (61*H[{3, 0}, {0, 0}, 1]^2)/140 - (128*Pi^2*H[{3, 1}, {2, 0}, 1])/945 + 
   (4979*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) - 
   (64*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 - 
   (26*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (3433*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) + 
   (176*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (31*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (29*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (442*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (256*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (256*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 0}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/1296 - (5*Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (37*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (5*H[{3, 0}, {0, 0}, 1]^2)/
    16 - (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(324*Sqrt[3]) - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (1759*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/16 - H[{3, 0}, {2, 0}, {0, 0}, 
    {1, 0}, 1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 0}, {2, 0}, {1, 0}, 1] -> (-31*Pi^4)/11664 + 
   (25*Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/27 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(3*Sqrt[3]) + 
   (161*Pi^2*H[{3, 0}, {0, 0}, 1])/864 - 
   (809*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + H[{3, 0}, {0, 0}, 1]^2/8 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (319*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1296*Sqrt[3]) + 
   (65*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1013*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (1271*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (607*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1680*Sqrt[3]) - 
   (83*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (2449*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (241*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (13*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {6, 0}, {2, 0}, {2, 0}, 1] -> 
  (13*Pi^4)/7776 - (Pi^3*H[{2, 0}, 1])/(648*Sqrt[3]) - 
   (7*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    108 - (Pi^2*H[{3, 1}, 1]^2)/27 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (5*Pi^2*H[{3, 0}, {0, 0}, 1])/54 - 
   (2287*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1344*Sqrt[3]) + 
   (223*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (7*H[{3, 0}, {0, 0}, 1]^2)/
    64 + (Pi^2*H[{3, 1}, {2, 0}, 1])/108 + 
   (22333*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(60480*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 + 
   (35*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (1177*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1600*Sqrt[3]) - 
   (259*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1600 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (2071*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (81*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (221*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(840*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (59*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/8 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2, 
 H[{6, 1}, {6, 0}, {2, 0}, {3, 0}, 1] -> (15721*Pi^4)/1224720 + 
   (419*Pi^3*H[{2, 0}, 1])/(40824*Sqrt[3]) + (2*Pi^2*H[{2, 0}, 1]^2)/81 + 
   (7*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + (323*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1134 - (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (125*Pi^2*H[{3, 0}, {0, 0}, 1])/336 + 
   (841*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (37*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (3905*H[{3, 0}, {0, 0}, 1]^2)/
    1344 - (485*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/6 + (4693*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (4721*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (25*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (46813*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) - 
   (633*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 + 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1201*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3676*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1575*Sqrt[3]) + 
   (88*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   3*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (139*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (2*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (44*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 + 
   (115*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (117*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] + (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (82*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {2, 0}, {3, 1}, 1] -> (-8377*Pi^4)/612360 - 
   (2183*Pi^3*H[{2, 0}, 1])/(81648*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - (449*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi^2*H[{3, 1}, 1]^2)/36 - (19*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (144*Sqrt[3]) + (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (257*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 - 
   (1145*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (49*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (501*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (100*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (4877*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (23*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/280 + 
   (4525*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (21667*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (1487*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (167*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (16727*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (4*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (173*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(60*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (394*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (45*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (4*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (62*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {2, 0}, {6, 0}, 1] -> (-557*Pi^4)/408240 - 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (5*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/Sqrt[3] - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (23*H[{3, 0}, {0, 0}, 1]^2)/70 + (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (1349*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(350*Sqrt[3]) - 
   (159*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/700 - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (493*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1050*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (31*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (24*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 + 
   (41*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 0}, {3, 0}, {0, 0}, 1] -> (-6911*Pi^4)/1224720 + 
   (67*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (199*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2268 - 
   (451*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (10837*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (283*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (25*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (913*H[{3, 0}, {0, 0}, 1]^2)/448 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (25*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(567*Sqrt[3]) + 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/567 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (67871*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) - 
   (1177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/640 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (277*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (18103*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/160 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (26429*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (887*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (368*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (31*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (67*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (137*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (199*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 0}, {1, 0}, 1] -> (8723*Pi^4)/2449440 - 
   (1579*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + (97*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    7560 - (Pi^2*H[{3, 1}, 1]^2)/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - (1301*Pi^2*H[{3, 0}, {0, 0}, 1])/
    4032 + (575*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (79*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (553*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (27*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (1297*H[{3, 0}, {0, 0}, 1]^2)/
    13440 - (32*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (7*H[{3, 1}, {2, 0}, 1]^2)/12 + (9383*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (2357*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2016 + 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (687571*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) - 
   (9277*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (47513*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (197*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (5*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2237*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(240*Sqrt[3]) - 
   (1467*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 + 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (47*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (187*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] - 
   (181*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (241*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (7*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {3, 0}, {2, 0}, 1] -> (-4433*Pi^4)/244944 - 
   (1063*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/216 - 
   (Pi^3*H[{3, 1}, 1])/(81*Sqrt[3]) - (1483*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    5670 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (1075*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 - (208*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (251*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) - 
   (81*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (7109*H[{3, 0}, {0, 0}, 1]^2)/3360 + (374*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2 - (6539*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) + (655*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (2072543*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (93469*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (83267*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (3097*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (4*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (215773*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (8679*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (901*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (1399*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/6 - 
   3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (267*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (83*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (818*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 0}, {3, 0}, {3, 0}, 1] -> (-799*Pi^4)/174960 + 
   (Pi^3*H[{2, 0}, 1])/(216*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/9 - (2*Pi^2*H[{3, 0}, {0, 0}, 1])/81 - 
   (449*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (23*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (655*H[{3, 0}, {0, 0}, 1]^2)/576 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (17*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (19*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (35*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (19*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9 + 
   (77527*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) - 
   (3421*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (25*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(108*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (8117*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (311*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (37*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (16*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (95*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (95*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 + 
   (23*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/48 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (4*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 0}, {3, 1}, 1] -> (5417*Pi^4)/1224720 - 
   (13537*Pi^3*H[{2, 0}, 1])/(816480*Sqrt[3]) + (13*Pi^2*H[{2, 0}, 1]^2)/
    972 - (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (1763*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/22680 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/18 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 + (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (9167*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (7453*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (39527*H[{3, 0}, {0, 0}, 1]^2)/
    40320 - (253*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (37*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (3*H[{3, 1}, {2, 0}, 1]^2)/4 + (3341*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (11340*Sqrt[3]) - (27931*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    18144 - (61*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (676867*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) - 
   (19701*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (19907*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (23*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (51377*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) + 
   (1791*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (31*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (3013*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(420*Sqrt[3]) - 
   (199*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (214*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (685*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 - 
   (14*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (877*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (31*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (899*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (467*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (19*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 - 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {6, 0}, {3, 0}, {6, 0}, 1] -> (-4447*Pi^4)/1224720 - 
   (3403*Pi^3*H[{2, 0}, 1])/(68040*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (5*Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - 
   (253*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/Sqrt[3] - 
   (1633*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 - 
   (6403*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (95*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (6079*H[{3, 0}, {0, 0}, 1]^2)/6720 + (1093*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/Sqrt[3] + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (11*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (3523*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) + 
   (757*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 + 
   (33119*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) - 
   (9053*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (563*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1440*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (23941*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (823*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (551*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 + H[{3, 0}, {0, 0}, {2, 0}, 
    {1, 0}, 1] - (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (393*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {3, 1}, {0, 0}, 1] -> (3947*Pi^4)/2449440 - 
   (713*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (59*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (2929*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1] + 
   (351*H[{3, 0}, {0, 0}, 1]^2)/448 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/567 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1134*Sqrt[3]) - 
   (907*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (69029*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(22400*Sqrt[3]) + 
   (21943*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (19*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5351*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) + 
   (173*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (75151*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (2413*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (37*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(504*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/56 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (92*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (41*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (55*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (71*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 1}, {1, 0}, 1] -> (-337*Pi^4)/244944 - 
   (19601*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (163*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1890 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/224 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (19*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (13*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (1429*H[{3, 0}, {0, 0}, 1]^2)/2240 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   H[{3, 1}, {2, 0}, 1]^2/3 - (24481*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (1181*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 + 
   (397*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 - 
   (65273*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(13440*Sqrt[3]) + 
   (1045*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/896 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (6383*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3360*Sqrt[3]) + 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (25*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (983*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(10080*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (2813*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(280*Sqrt[3]) + 
   (827*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (2*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (407*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   2*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (29*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - H[{3, 0}, {2, 0}, {2, 0}, 
    {0, 0}, 1] - (18*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (37*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (3*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/2 + H[{3, 1}, {3, 0}, {2, 0}, 
    {2, 0}, 1], H[{6, 1}, {6, 0}, {3, 1}, {2, 0}, 1] -> 
  (15563*Pi^4)/1224720 + (2417*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/72 + (Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) + 
   (394*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(144*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/16 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (667*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 + (46535*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(4032*Sqrt[3]) - 
   (1409*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/448 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (425*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(96*Sqrt[3]) - 
   (49*Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/32 - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (1081*H[{3, 0}, {0, 0}, 1]^2)/840 - (1051*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   H[{3, 1}, {2, 0}, 1]^2/2 + (38281*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) + (169*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (37717*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) + 
   (331*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (32077*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) - 
   (1167*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (10657*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1440*Sqrt[3]) - 
   (2773*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1120 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (2717*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(720*Sqrt[3]) - 
   (289*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (1019*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (107*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   (9*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (13*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + (281*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (1121*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {3, 1}, {3, 0}, 1] -> (59*Pi^4)/21870 + 
   (979*Pi^3*H[{2, 0}, 1])/(58320*Sqrt[3]) - (47*Pi^2*H[{2, 0}, 1]^2)/972 - 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) - 
   (67*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/540 + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    27 + (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + (307*Pi^2*H[{3, 0}, {0, 0}, 1])/1296 + 
   (18175*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 - 
   (13*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (37*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (907*H[{3, 0}, {0, 0}, 1]^2)/
    1440 + (101*Pi^2*H[{3, 1}, {2, 0}, 1])/1620 + 
   (10*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + H[{3, 1}, {2, 0}, 1]^2 - 
   (271*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1080*Sqrt[3]) + 
   (805*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (155*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (29387*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1575*Sqrt[3]) + 
   (2007*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/350 - 
   (23*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (1829*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(7560*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (225143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(25200*Sqrt[3]) - 
   (7929*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (8*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (20*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (4853*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (327*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 - 
   (533*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (7*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/30 + 
   (23*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/20 - 
   (91*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/30 + 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (13*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 0}, {3, 1}, {3, 1}, 1] -> (-5639*Pi^4)/1224720 - 
   (2749*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (41*Pi^2*H[{2, 0}, 1]^2)/
    1944 - (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (7*Pi^3*H[{3, 1}, 1])/
    (3888*Sqrt[3]) + (341*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (7*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (197*Pi^2*H[{3, 0}, {0, 0}, 1])/2268 - 
   (1195*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(144*Sqrt[3]) - 
   (35*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (10091*H[{3, 0}, {0, 0}, 1]^2)/20160 - (131*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (23*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (373*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (630*Sqrt[3]) - (3719*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/432 + 
   (1133123*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (6127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (967*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3780*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (102833*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (557*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (13*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (152*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (455*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (71*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/210 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {3, 1}, {6, 0}, 1] -> (-8591*Pi^4)/2449440 + 
   (1147*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 + 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) - (2*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (107*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/5670 - 
   (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (2*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + 
   (38*Pi^2*H[{3, 0}, {0, 0}, 1])/567 - 
   (83*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (4013*H[{3, 0}, {0, 0}, 1]^2)/6720 - (311*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (8*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/3 + (229*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (1890*Sqrt[3]) - (107*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1008 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/25 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/20 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (81829*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (521*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (2*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (1507*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (401*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/560 - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (85*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   (21*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (23*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {6, 0}, {0, 0}, 1] -> 
  -Pi^4/324 - (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   H[{3, 0}, {0, 0}, 1]^2 + (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2, 
 H[{6, 1}, {6, 0}, {6, 0}, {1, 0}, 1] -> (-487*Pi^4)/204120 - 
   (32*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) - 
   (64*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/
    189 - (32*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (507*H[{3, 0}, {0, 0}, 1]^2)/560 + (64*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (2717*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (32*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (1279*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1050*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (2*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (53*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(150*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/350 - 
   (62*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (48*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (128*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 0}, {6, 0}, {2, 0}, 1] -> (-527*Pi^4)/244944 + 
   (Pi^3*H[{2, 0}, 1])/(945*Sqrt[3]) - (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 - (2*Pi^2*H[{3, 1}, 1]^2)/27 - 
   (23*Pi^2*H[{3, 0}, {0, 0}, 1])/756 + 
   (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(7*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (209*H[{3, 0}, {0, 0}, 1]^2)/1120 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/315 + 
   (1531*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) - 
   (37*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/189 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (37*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(112*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 + 
   (41*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(140*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 - 
   (89*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(280*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/8 + 
   (8*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (7*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   (141*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 0}, {6, 0}, {3, 0}, 1] -> (107*Pi^4)/43740 - 
   (Pi^3*H[{2, 0}, 1])/(360*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (23*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1620 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 - (4*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(18*Sqrt[3]) - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (529*H[{3, 0}, {0, 0}, 1]^2)/960 - (7*Pi^2*H[{3, 1}, {2, 0}, 1])/180 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (211*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1215*Sqrt[3]) - 
   (155*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/648 + 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/80 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (7*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(180*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(180*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(15*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (43*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (23*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/20 + 
   (21*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/10 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {6, 0}, {3, 1}, 1] -> (127*Pi^4)/61236 + 
   (139*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/108 - 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (4*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - 
   (125*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/12 + 
   (349*H[{3, 0}, {0, 0}, 1]^2)/1344 - (2*Pi^2*H[{3, 1}, {2, 0}, 1])/63 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, 1]^2/6 + 
   (2377*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(6804*Sqrt[3]) - 
   (2545*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (7*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 + 
   (71*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(168*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(42*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (4*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (17*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (113*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/144 + 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (17*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/56 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (12*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (13*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {6, 0}, {6, 0}, 1] -> 
  -Pi^4/2187 - (4*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - 
   (Pi^2*H[{3, 0}, {0, 0}, 1])/27 - (8*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (81*Sqrt[3]) + H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/3, 
 H[{6, 1}, {6, 0}, {6, 1}, {0, 0}, 1] -> (-703*Pi^4)/408240 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (10*Pi^3*H[{3, 1}, 1])/
    (81*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (1663*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (71*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (1963*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (2*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {6, 1}, {1, 0}, 1] -> (557*Pi^4)/408240 + 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - (17*Pi^3*H[{3, 1}, 1])/
    (162*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 + 
   (1775*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 + 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (43*H[{3, 0}, {0, 0}, 1]^2)/
    112 - (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 + 
   (533*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (5*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) - 
   (13*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (79*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   4*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (47*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/8 + H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] + (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] - (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 + 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 - H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] - 3*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {6, 1}, {2, 0}, 1] -> (685*Pi^4)/489888 + 
   (25*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (65*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/756 - 
   (2*Pi^2*H[{3, 1}, 1]^2)/27 - (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) + 
   (407*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 + 
   (125*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (131*H[{3, 0}, {0, 0}, 1]^2)/
    448 - (25*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (2489*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (235*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (229*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (319*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   (181*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(560*Sqrt[3]) - 
   (67*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] + 
   (11*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 - 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(42*Sqrt[3]) - 
   3*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (257*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 + 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/7 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 0}, {6, 1}, {3, 0}, 1] -> (22321*Pi^4)/2449440 + 
   (1103*Pi^3*H[{2, 0}, 1])/(408240*Sqrt[3]) + (11*Pi^2*H[{2, 0}, 1]^2)/324 + 
   (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (Pi^3*H[{3, 1}, 1])/(162*Sqrt[3]) + 
   (613*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1890 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/
    54 - (Pi^2*H[{3, 1}, 1]^2)/18 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (6*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - (361*Pi^2*H[{3, 0}, {0, 0}, 1])/1008 + 
   (1885*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (25*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (23459*H[{3, 0}, {0, 0}, 1]^2)/
    6720 - (2593*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 + 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2 + (23147*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (68040*Sqrt[3]) - (28949*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    9072 - (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (1979*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(840*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (17*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 + 
   (2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (191*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (7*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (491*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (95*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/42 + 
   (569*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/6 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   (14*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (123*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/70 + 
   (438*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (23*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 0}, {6, 1}, {3, 1}, 1] -> (-9691*Pi^4)/1224720 - 
   (3473*Pi^3*H[{2, 0}, 1])/(204120*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/(324*Sqrt[3]) - 
   (61*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/315 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + 
   (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (691*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (51*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 - 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - (3911*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (1391*Pi^2*H[{3, 1}, {2, 0}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (4*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/2 + (30101*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (68040*Sqrt[3]) + (2503*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (35*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (619*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(420*Sqrt[3]) - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (46*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(315*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (127*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(630*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 + 
   (8*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (4*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (242*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (73*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (535*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (19*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   (19*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (67*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (417*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {0, 0}, {0, 0}, 1] -> (-1007*Pi^4)/408240 - 
   (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    126 + (Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) + 
   (11*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (239*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {6, 1}, {0, 0}, {1, 0}, 1] -> (-341*Pi^4)/38880 - 
   (7*Pi^2*H[{3, 0}, {0, 0}, 1])/54 + (25*H[{3, 0}, {0, 0}, 1]^2)/32 + 
   (13*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108*Sqrt[3]) - 
   (7*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (64*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {6, 1}, {0, 0}, {2, 0}, 1] -> 
  (1081*Pi^4)/408240 + (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/252 + (13*Pi^2*H[{3, 0}, {0, 0}, 1])/
    6048 - (37*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(112*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 - 
   (123*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 + 
   (5*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(378*Sqrt[3]) - 
   (187*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/504 + 
   (1627*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3360*Sqrt[3]) - 
   (193*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/1120 - 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(12*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (9*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {0, 0}, {3, 0}, 1] -> (-3529*Pi^4)/816480 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) - 
   (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - (397*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 - (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (403*H[{3, 0}, {0, 0}, 1]^2)/448 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (1217*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(9072*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (11327*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (1157*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (13*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {0, 0}, {3, 1}, 1] -> (-47*Pi^4)/29160 + 
   (13*Pi^2*H[{3, 0}, {0, 0}, 1])/144 + (3*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (221*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(648*Sqrt[3]) - 
   (1409*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2800*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(4*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (257*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2100*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6, 
 H[{6, 1}, {6, 1}, {0, 0}, {6, 0}, 1] -> 
  Pi^4/5832 - (71*Pi^2*H[{3, 0}, {0, 0}, 1])/432 + 
   (3*H[{3, 0}, {0, 0}, 1]^2)/16 + (29*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (324*Sqrt[3]) - (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(6*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {6, 1}, {1, 0}, {0, 0}, 1] -> 
  (6001*Pi^4)/816480 - (5*Pi^3*H[{2, 0}, 1])/(756*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/126 - (17*Pi^2*H[{3, 0}, {0, 0}, 1])/
    1512 - (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(28*Sqrt[3]) - 
   (131*H[{3, 0}, {0, 0}, 1]^2)/112 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/126 + 
   (169*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(756*Sqrt[3]) + 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/84 + 
   (31*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/56 + 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (22*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (26*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (9*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {6, 1}, {1, 0}, {1, 0}, 1] -> (161*Pi^4)/58320 - 
   (79*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (7*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(4*Sqrt[3]) + 
   (134*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (3*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {6, 1}, {1, 0}, {2, 0}, 1] -> 
  (3947*Pi^4)/816480 + (191*Pi^3*H[{2, 0}, 1])/(9072*Sqrt[3]) - 
   (Pi^2*H[{2, 0}, 1]^2)/27 + (Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/21 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(12*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/4 - (239*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (313*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) + 
   (23*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (221*H[{3, 0}, {0, 0}, 1]^2)/448 - (Pi^2*H[{3, 1}, {2, 0}, 1])/21 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + H[{3, 1}, {2, 0}, 1]^2/2 + 
   (179*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) - 
   (79*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (6463*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5600*Sqrt[3]) + 
   (2871*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/7 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (2399*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) - 
   (261*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1]/42 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {1, 0}, {3, 0}, 1] -> (-3701*Pi^4)/1224720 + 
   (173*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (677*Pi^2*H[{3, 0}, {0, 0}, 1])/2016 - 
   (199*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(252*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (417*H[{3, 0}, {0, 0}, 1]^2)/448 + (65*Pi^2*H[{3, 1}, {2, 0}, 1])/1134 + 
   (4*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (4117*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (17*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (31181*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (3821*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (10*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (97*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (17*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {1, 0}, {3, 1}, 1] -> (1481*Pi^4)/349920 - 
   (4*Pi^3*H[{2, 0}, 1])/(243*Sqrt[3]) + (13*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (11*Pi^2*H[{3, 0}, {0, 0}, 1])/72 - (Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/
    (9*Sqrt[3]) - (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (23*H[{3, 0}, {0, 0}, 1]^2)/48 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (17*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(216*Sqrt[3]) + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (2719*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(25200*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (5*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (979*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6300*Sqrt[3]) - 
   (12*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (77*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/3 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6, 
 H[{6, 1}, {6, 1}, {1, 0}, {6, 0}, 1] -> (7*Pi^4)/1944 - 
   (115*Pi^2*H[{3, 0}, {0, 0}, 1])/432 - (5*H[{3, 0}, {0, 0}, 1]^2)/16 + 
   (40*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(81*Sqrt[3]) + 
   (Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (169*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(3*Sqrt[3]) + 
   (4*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (15*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/16 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/2 + H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 
    1] - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + H[{3, 0}, {3, 0}, {2, 0}, 
    {0, 0}, 1], H[{6, 1}, {6, 1}, {2, 0}, {0, 0}, 1] -> 
  -Pi^4/63 - (Pi^3*H[{2, 0}, 1])/(56*Sqrt[3]) - 
   (Pi^3*H[{3, 1}, 1])/(648*Sqrt[3]) - (3*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    28 - (Pi^2*H[{3, 1}, 1]^2)/18 - (89*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (45*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/56 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (425*H[{3, 0}, {0, 0}, 1]^2)/
    448 + (3*Pi^2*H[{3, 1}, {2, 0}, 1])/28 - 
   (1325*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (45*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/56 - 
   (143*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 - 
   (55*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (121*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(30*Sqrt[3]) - 
   (171*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (5*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (25*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (15*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/14 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + 
   (135*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (31*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (81*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {2, 0}, {1, 0}, 1] -> (-77*Pi^4)/3888 - 
   (43*Pi^3*H[{2, 0}, 1])/(2592*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/54 + 
   (Pi^3*H[{3, 1}, 1])/(216*Sqrt[3]) - (41*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    216 - (Pi^2*H[{3, 1}, 1]^2)/36 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (4*Sqrt[3]) - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + 
   (55*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 - 
   (109*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(32*Sqrt[3]) + 
   (5*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (165*H[{3, 0}, {0, 0}, 1]^2)/
    128 + (2*Pi^2*H[{3, 1}, {2, 0}, 1])/27 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/4 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   H[{3, 1}, {2, 0}, 1]^2/4 - (205*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (648*Sqrt[3]) + (215*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/54 + 
   (4201*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(560*Sqrt[3]) - 
   (1797*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/560 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (1423*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (127*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3967*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(840*Sqrt[3]) + 
   (433*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/280 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/4 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (367*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(70*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (61*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/54 + 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/4 - 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] + (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/4 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 - H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/2 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {2, 0}, {2, 0}, 1] -> (-9599*Pi^4)/2449440 - 
   (151*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (Pi^3*H[{3, 1}, 1])/(72*Sqrt[3]) - (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    1512 - (Pi^2*H[{3, 1}, 1]^2)/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 + 
   (6541*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (1957*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(288*Sqrt[3]) - 
   (321*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (941*H[{3, 0}, {0, 0}, 1]^2)/
    896 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/63 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (7*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + H[{3, 1}, {2, 0}, 1]^2/4 - 
   (545*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (6533*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (223093*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) + 
   (6459*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(8*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (62527*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(8400*Sqrt[3]) - 
   (6603*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/2800 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] - 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   (101*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (19*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/21 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1] + H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 
    1] + H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   (3*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (30*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2, 
 H[{6, 1}, {6, 1}, {2, 0}, {3, 0}, 1] -> (-473*Pi^4)/349920 - 
   (371*Pi^3*H[{2, 0}, 1])/(116640*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (61*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (79*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3240 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (479*Pi^2*H[{3, 0}, {0, 0}, 1])/1728 + 
   (2155*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (2*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (47*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + (229*H[{3, 0}, {0, 0}, 1]^2)/
    640 - (8*Pi^2*H[{3, 1}, {2, 0}, 1])/405 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 + 
   (4*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 + (511*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3240*Sqrt[3]) - (193*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/288 + 
   (145*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (99101*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (3253*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (229*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(252*Sqrt[3]) - 
   (19*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (631*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(5040*Sqrt[3]) + 
   (41*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (172*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (5*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/27 + 
   (111*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 
    1] - (33*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/80 - 
   (3*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (6*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/5 + 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/5 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1] + H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 + 
   2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {6, 1}, {2, 0}, {3, 1}, 1] -> 
  (3239*Pi^4)/1224720 + (1073*Pi^3*H[{2, 0}, 1])/(102060*Sqrt[3]) + 
   (2*Pi^2*H[{2, 0}, 1]^2)/81 + (7*Pi^3*H[{3, 1}, 1])/(1944*Sqrt[3]) + 
   (2687*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/6 + (2*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 - 
   (2687*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (251*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 + 
   (91*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (7*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (18211*H[{3, 0}, {0, 0}, 1]^2)/6720 - (871*Pi^2*H[{3, 1}, {2, 0}, 1])/
    5670 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1] - 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2 + 
   (4877*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (2089*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 - 
   (85*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (11659*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(900*Sqrt[3]) - 
   (9911*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (5449*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(5040*Sqrt[3]) - 
   (9*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/80 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (3581*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(900*Sqrt[3]) + 
   (901*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/700 + 
   H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/3 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (8*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (499*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (611*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/378 + 
   (139*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/64 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   2*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1] + 
   (237*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/2 - H[{3, 0}, {2, 0}, {0, 0}, 
    {2, 0}, 1] + (289*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (639*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   (4*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 + 
   2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1] - 
   4*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {2, 0}, {6, 0}, 1] -> (-815*Pi^4)/244944 + 
   (10*Pi^3*H[{2, 0}, 1])/(567*Sqrt[3]) - (11*Pi^3*H[{3, 1}, 1])/
    (648*Sqrt[3]) - (8*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/189 - 
   (Pi^2*H[{3, 1}, 1]^2)/54 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(6*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) - (313*Pi^2*H[{3, 0}, {0, 0}, 1])/3024 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2*Sqrt[3]) + 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 - 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/8 - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (39*H[{3, 0}, {0, 0}, 1]^2)/
    112 + (8*Pi^2*H[{3, 1}, {2, 0}, 1])/189 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (31*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(189*Sqrt[3]) + 
   (20*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 - 
   (5*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/28 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (143*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (17*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   (143*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4200*Sqrt[3]) + 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (80*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   (27*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1] + 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 - 
   (16*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7, 
 H[{6, 1}, {6, 1}, {3, 0}, {0, 0}, 1] -> (-31*Pi^4)/10935 + 
   (101*Pi^3*H[{2, 0}, 1])/(1944*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/72 - 
   (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/324 - (101*Pi^2*H[{3, 0}, {0, 0}, 1])/
    864 - (1625*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + H[{2, 0}, 1]*H[{3, 1}, 1]*
    H[{3, 0}, {0, 0}, 1] - (49*H[{3, 0}, {0, 0}, 1]^2)/64 + 
   (11*Pi^2*H[{3, 1}, {2, 0}, 1])/324 - H[{3, 0}, {0, 0}, 1]*
    H[{3, 1}, {2, 0}, 1] - (55*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (162*Sqrt[3]) - (5*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/81 + 
   (10793*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(9600*Sqrt[3]) - 
   (1177*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/3200 + 
   (13*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (4769*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (187*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (3889*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7200*Sqrt[3]) + 
   (107*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/800 - 
   (5*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (4*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (28*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/81 + 
   (53*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/24 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/12 - 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (4*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {3, 0}, {1, 0}, 1] -> (-5011*Pi^4)/1224720 + 
   (4909*Pi^3*H[{2, 0}, 1])/(272160*Sqrt[3]) - (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) - (157*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2520 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/8 + (1105*Pi^2*H[{3, 0}, {0, 0}, 1])/
    12096 - (1019*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (337*H[{3, 0}, {0, 0}, 1]^2)/4480 + (181*Pi^2*H[{3, 1}, {2, 0}, 1])/2835 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (661*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (840*Sqrt[3]) + (3995*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (455551*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (13453*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (1541*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1120*Sqrt[3]) - 
   (583*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/1120 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/8 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (66181*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (1223*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (3*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (7*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (331*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (67*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (49*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/3 - 
   (327*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (183*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 1}, {3, 0}, {2, 0}, 1] -> (-1963*Pi^4)/2449440 + 
   (3607*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (7*Pi^2*H[{2, 0}, 1]^2)/648 + 
   (71*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) + 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (3127*Pi^2*H[{3, 0}, {0, 0}, 1])/
    9072 + (95*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(336*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 - 
   (3497*H[{3, 0}, {0, 0}, 1]^2)/6720 - (71*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (5*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/2 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 - 
   (3*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/4 - 
   H[{3, 1}, {2, 0}, 1]^2/6 + (8111*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (45360*Sqrt[3]) - (4465*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 + 
   (57661*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(28800*Sqrt[3]) - 
   (16241*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (19027*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(10080*Sqrt[3]) + 
   (141*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/224 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (245027*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (8921*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (6457*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(630*Sqrt[3]) + 
   (247*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/70 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (311*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 + 
   (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/140 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (52*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 + 
   2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1] + 
   (5*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (5*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {3, 0}, {3, 0}, 1] -> (-4733*Pi^4)/816480 - 
   (17*Pi^3*H[{2, 0}, 1])/(1680*Sqrt[3]) + (23*Pi^2*H[{2, 0}, 1]^2)/972 + 
   (4*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (671*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    11340 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 + (697*Pi^2*H[{3, 0}, {0, 0}, 1])/
    18144 - (5113*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) + 
   (73*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/3 - 
   (13*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/36 - 
   (647*H[{3, 0}, {0, 0}, 1]^2)/630 + (73*Pi^2*H[{3, 1}, {2, 0}, 1])/5670 - 
   (7*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (7*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 + 
   (13*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   (1369*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (167*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/336 - 
   (5*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/36 + 
   (55943*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(10080*Sqrt[3]) - 
   (341*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/160 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (14317*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(15120*Sqrt[3]) - 
   (169*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 - 
   (2179*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(560*Sqrt[3]) + 
   (741*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/560 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 + 
   (14*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (4*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (3347*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (23*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/280 + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (577*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (43*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (11*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (11*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (647*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/1680 + 
   (8*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 - 
   (107*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (671*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (22*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {3, 0}, {3, 1}, 1] -> (5441*Pi^4)/816480 - 
   (61*Pi^3*H[{2, 0}, 1])/(6048*Sqrt[3]) - (29*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) + (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (107*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 + (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (11*H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/72 - 
   (1969*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (5303*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(6048*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/6 - 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) + 
   (8*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (2111*H[{3, 0}, {0, 0}, 1]^2)/8064 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (13*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 - 
   (11*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   (7*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 - 
   H[{3, 1}, {2, 0}, 1]^2/12 - (3187*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (9072*Sqrt[3]) - (7025*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 + 
   (4*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/27 - 
   (59063*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(40320*Sqrt[3]) + 
   (3509*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/4480 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (67*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/36 - 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (5*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (185*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/144 + 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/6 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   (2*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/9 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 + 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/84 - 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/42 + 
   (85*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 + 
   (5*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/18 - 
   (14*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {6, 1}, {3, 0}, {6, 0}, 1] -> (-11*Pi^4)/9072 + 
   (449*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + (17*Pi^2*H[{2, 0}, 1]^2)/648 - 
   (2*Pi*H[{2, 0}, 1]^3)/(27*Sqrt[3]) + (29*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 + (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/18 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) - (899*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (559*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) - 
   (99*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/224 - 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (2329*H[{3, 0}, {0, 0}, 1]^2)/6720 - (29*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 - 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (41*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) + 
   (1489*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 + 
   (80071*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (4653*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (47*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1008*Sqrt[3]) - 
   (51*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/560 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (11047*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(16800*Sqrt[3]) + 
   (423*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (79*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (571*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 + 
   (119*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 - 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/6 - 
   (333*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (7*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (263*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 - 
   (473*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/3 + 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {3, 1}, {0, 0}, 1] -> (-913*Pi^4)/489888 - 
   (269*Pi^3*H[{2, 0}, 1])/(6804*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/567 + (199*Pi^2*H[{3, 0}, {0, 0}, 1])/
    2016 + (31*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(126*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (207*H[{3, 0}, {0, 0}, 1]^2)/224 + (5*Pi^2*H[{3, 1}, {2, 0}, 1])/567 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (1721*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) + 
   (115*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (22313*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(16800*Sqrt[3]) - 
   (3057*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (271*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (2659*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (31*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (437*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (31*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/140 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (83*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (89*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/48 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 - 
   (5*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/28 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 - 
   (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/21 - 
   (10*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {3, 1}, {1, 0}, 1] -> (139*Pi^4)/2449440 - 
   (463*Pi^3*H[{2, 0}, 1])/(34020*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/324 - 
   (13*Pi^3*H[{3, 1}, 1])/(972*Sqrt[3]) + 
   (193*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(18*Sqrt[3]) - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(9*Sqrt[3]) - 
   (565*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 + 
   (110*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(63*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 + 
   (17*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (3*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (6637*H[{3, 0}, {0, 0}, 1]^2)/6720 - (101*Pi^2*H[{3, 1}, {2, 0}, 1])/
    2835 - (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (4073*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(15120*Sqrt[3]) - 
   (185*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/378 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/24 + 
   (41971*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(50400*Sqrt[3]) - 
   (2013*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 - 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (529*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/56 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (901*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(12600*Sqrt[3]) + 
   (183*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (41*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (184*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/2 + 
   (307*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 + 
   (53*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 + 
   (193*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {3, 1}, {2, 0}, 1] -> (-9421*Pi^4)/2449440 - 
   (3587*Pi^3*H[{2, 0}, 1])/(136080*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 - 
   (271*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 + (107*Pi^2*H[{3, 0}, {0, 0}, 1])/567 - 
   (11*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/112 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/12 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (517*H[{3, 0}, {0, 0}, 1]^2)/6720 + (271*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 - (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/6 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/2 - H[{3, 1}, {2, 0}, 1]^2/6 - 
   (6451*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (2203*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/9072 - 
   (7421*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(7200*Sqrt[3]) + 
   (1221*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (587*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(2520*Sqrt[3]) - 
   (47*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/280 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (391*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1800*Sqrt[3]) - 
   (111*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 - 
   (5*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (236*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (355*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/1134 - 
   (113*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/3 - 
   (13*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/210 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/105 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {3, 1}, {3, 0}, 1] -> (-227*Pi^4)/489888 + 
   (1451*Pi^3*H[{2, 0}, 1])/(27216*Sqrt[3]) - (35*Pi^2*H[{2, 0}, 1]^2)/1944 + 
   (Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (5*Pi^3*H[{3, 1}, 1])/(243*Sqrt[3]) + 
   (25*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1134 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (2*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/36 - 
   (2507*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 + 
   (1003*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(3024*Sqrt[3]) + 
   (5*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + 
   (7*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/18 + 
   (835*H[{3, 0}, {0, 0}, 1]^2)/4032 - (Pi^2*H[{3, 1}, {2, 0}, 1])/2268 + 
   (2*Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (5*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/18 - 
   (29*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/36 + 
   H[{3, 1}, {2, 0}, 1]^2/6 + (293*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (4536*Sqrt[3]) - (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/3024 - 
   (11*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 - 
   (204121*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(67200*Sqrt[3]) + 
   (21769*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (269*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(756*Sqrt[3]) + 
   (11*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/12 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (67633*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) - 
   (1979*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (4*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/18 - 
   (16*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (64*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (104*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (103*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/72 + 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 + 
   (2*H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1])/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/18 - 
   (29*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/18 + 
   (115*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 - 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 - 
   (19*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/14 + 
   (25*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/21 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/9 - 
   (8*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {3, 1}, {3, 1}, 1] -> (-1189*Pi^4)/244944 - 
   (395*Pi^3*H[{2, 0}, 1])/(13608*Sqrt[3]) + (31*Pi^2*H[{2, 0}, 1]^2)/1944 - 
   (5*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - (101*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 - (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/18 + 
   (3013*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (1249*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(1512*Sqrt[3]) - 
   (3*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - 
   (4*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/9 + 
   (1093*H[{3, 0}, {0, 0}, 1]^2)/4032 + (59*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(27*Sqrt[3]) + 
   (2*H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (4*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/9 + 
   (367*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(1008*Sqrt[3]) + 
   (1207*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/4536 - 
   (H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18 + 
   (216841*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(201600*Sqrt[3]) - 
   (10483*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/22400 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(189*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (23531*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(50400*Sqrt[3]) + 
   (953*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/5600 + 
   (2*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/9 - 
   (H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/9 + 
   (11*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(27*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (29*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) + 
   (97*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (719*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1])/18 + 
   (8*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (317*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/336 + 
   (2*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (4*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (73*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (101*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   (2*H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1])/9 + 
   (10*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9, 
 H[{6, 1}, {6, 1}, {3, 1}, {6, 0}, 1] -> (8*Pi^4)/5103 - 
   (653*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/81 - 
   (Pi*H[{2, 0}, 1]^3)/(54*Sqrt[3]) + (47*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    3780 - (2*Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/9 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (61*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (295*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (11*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (3713*H[{3, 0}, {0, 0}, 1]^2)/6720 - (47*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (541*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(7560*Sqrt[3]) - 
   (775*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (29*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2520*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (3*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (17*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (3*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/140 + 
   (151*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(210*Sqrt[3]) - 
   (Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 - 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 + 
   (421*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (151*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (61*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/6 + 
   (421*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/3 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/3 + 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (421*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/3 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {6, 0}, {0, 0}, 1] -> (-323*Pi^4)/102060 - 
   (17*Pi^3*H[{2, 0}, 1])/(2268*Sqrt[3]) + (19*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (17*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/378 - 
   (331*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 - 
   (85*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(84*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(4*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 - (275*H[{3, 0}, {0, 0}, 1]^2)/
    224 + (17*Pi^2*H[{3, 1}, {2, 0}, 1])/378 - 
   (2089*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (109*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/756 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (631*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(1400*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (113*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(210*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/10 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (269*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (176*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (99*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/2 - H[{3, 0}, {0, 0}, {2, 0}, 
    {2, 0}, 1] - (9*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/56 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1] - H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 
    1] - (5*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/7 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/7 + H[{3, 1}, {3, 0}, {0, 0}, 
    {2, 0}, 1] + 2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - 
   2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1], 
 H[{6, 1}, {6, 1}, {6, 0}, {1, 0}, 1] -> (-907*Pi^4)/408240 - 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (17*Pi^3*H[{3, 1}, 1])/
    (324*Sqrt[3]) - (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 - 
   (16*Pi^2*H[{3, 0}, {0, 0}, 1])/189 - 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) - 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(12*Sqrt[3]) + 
   (3*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/4 + (263*H[{3, 0}, {0, 0}, 1]^2)/
    1120 + (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (19097*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(22680*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (65*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/108 + 
   (1979*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(2100*Sqrt[3]) - 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 - 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/70 + 
   H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1] - 
   (479*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) + 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1] - 
   (262*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 + 
   (91*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 - 
   (83*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/70 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1], 
 H[{6, 1}, {6, 1}, {6, 0}, {2, 0}, 1] -> (-803*Pi^4)/489888 - 
   (11*Pi^3*H[{2, 0}, 1])/(7560*Sqrt[3]) + (65*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) - (11*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/1260 + 
   (Pi^2*H[{3, 1}, 1]^2)/54 + (Pi*H[{3, 1}, 1]^3)/(3*Sqrt[3]) - 
   (797*Pi^2*H[{3, 0}, {0, 0}, 1])/6048 - 
   (11*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(24*Sqrt[3]) + 
   (9*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 - (1219*H[{3, 0}, {0, 0}, 1]^2)/
    2240 + (11*Pi^2*H[{3, 1}, {2, 0}, 1])/1260 - 
   (733*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(5670*Sqrt[3]) - 
   (17*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 + 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (109*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(800*Sqrt[3]) - 
   (439*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/5600 - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/2 + 
   2*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1] - 
   (689*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(840*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/40 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 - 
   (197*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) + 
   (29*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/1400 - 
   (11*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(35*Sqrt[3]) + 
   2*H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] + 
   (16*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 + 
   (281*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (3*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/2 + 
   (73*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/280 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1] - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/140 - 
   (33*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1] - H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {6, 1}, {6, 0}, {3, 0}, 1] -> 
  (-187*Pi^4)/38880 - (59*Pi^3*H[{2, 0}, 1])/(11664*Sqrt[3]) - 
   (5*Pi^2*H[{2, 0}, 1]^2)/324 + (2*Pi*H[{2, 0}, 1]^3)/(81*Sqrt[3]) - 
   (5*Pi^3*H[{3, 1}, 1])/(486*Sqrt[3]) - (10*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    81 - (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi^2*H[{3, 1}, 1]^2)/36 - 
   (5*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(36*Sqrt[3]) + 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/12 - (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/9 + 
   (191*Pi^2*H[{3, 0}, {0, 0}, 1])/648 - 
   (173*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/16 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (5*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(36*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - (113*H[{3, 0}, {0, 0}, 1]^2)/
    96 + (7*Pi^2*H[{3, 1}, {2, 0}, 1])/81 + 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/2 + 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 + 
   (2*H[{3, 1}, {2, 0}, 1]^2)/3 - (805*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3888*Sqrt[3]) + (1955*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1296 - 
   (7*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/16 + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 - 
   (13*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (31*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/36 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/3 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(4*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/6 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 - 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (5*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/3 - 
   (199*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(126*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/14 - 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/162 - 
   (17*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/9 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (13*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (3*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/16 + 
   (11*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/18 + 
   (17*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/18 + 
   (2*H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1])/3 - 
   (17*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/12 - 
   (29*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/6 + 
   (2*H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1])/3 - H[{3, 1}, {2, 0}, {1, 0}, 
    {2, 0}, 1] + (19*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {6, 0}, {3, 1}, 1] -> (3419*Pi^4)/816480 + 
   (4715*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + (55*Pi^3*H[{3, 1}, 1])/
    (1944*Sqrt[3]) + (283*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/4536 + 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (13*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/(72*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/8 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (H[{2, 0}, 1]*H[{3, 1}, 1]^3)/18 - 
   (2117*Pi^2*H[{3, 0}, {0, 0}, 1])/36288 + 
   (661*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(672*Sqrt[3]) + 
   (19*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(72*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 + 
   (5*H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 + (1157*H[{3, 0}, {0, 0}, 1]^2)/
    2688 - (131*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(6*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/36 + 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(18*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/4 + 
   (5*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{3, 1}, {2, 0}, 1]^2)/12 - (737*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/
    (3402*Sqrt[3]) - (9071*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/18144 - 
   (37*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/216 + 
   (73*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(84*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 + 
   (7*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/6 - 
   (4*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/72 - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/6 - 
   (2*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(7*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 + 
   (Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(3*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (61*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (338*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (583*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/576 - 
   (5*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 + 
   (4*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 - 
   H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1]/7 - 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1])/9 + 
   (7*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/36 - 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 + 
   (103*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - 
   (11*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/6 - 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {6, 0}, {6, 0}, 1] -> (134*Pi^4)/76545 - 
   (16*Pi^3*H[{2, 0}, 1])/(2835*Sqrt[3]) + (Pi^3*H[{3, 1}, 1])/
    (243*Sqrt[3]) - (32*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/945 + 
   (Pi^2*H[{3, 1}, 1]^2)/27 + (17*Pi^2*H[{3, 0}, {0, 0}, 1])/378 - 
   (16*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(21*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(3*Sqrt[3]) - 
   (6*H[{3, 0}, {0, 0}, 1]^2)/35 + (32*Pi^2*H[{3, 1}, {2, 0}, 1])/945 - 
   (11*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(11340*Sqrt[3]) + 
   (16*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/63 + 
   (317*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(150*Sqrt[3]) - 
   (88*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(35*Sqrt[3]) - 
   (64*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(75*Sqrt[3]) + 
   (32*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 - 
   (58*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(105*Sqrt[3]) + 
   (64*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1]/3 - 
   (24*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/35 - 
   (32*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 - 
   (64*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/35, 
 H[{6, 1}, {6, 1}, {6, 1}, {0, 0}, 1] -> (19*Pi^4)/13608 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (23*Pi^2*H[{3, 0}, {0, 0}, 1])/252 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) - 
   (39*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (535*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (13*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (461*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 + 
   (Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(21*Sqrt[3]) - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {6, 1}, {1, 0}, 1] -> (-37*Pi^4)/13608 + 
   (5*Pi^3*H[{2, 0}, 1])/(1512*Sqrt[3]) + (5*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    252 + (53*Pi^2*H[{3, 0}, {0, 0}, 1])/504 + 
   (25*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(56*Sqrt[3]) + 
   (185*H[{3, 0}, {0, 0}, 1]^2)/448 - (5*Pi^2*H[{3, 1}, {2, 0}, 1])/252 - 
   (89*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (25*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/168 - 
   (4*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(3*Sqrt[3]) + 
   (33*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/112 - 
   (601*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(420*Sqrt[3]) + 
   (11*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/35 - 
   (3*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (2*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(3*Sqrt[3]) - 
   (3*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/7 - 
   (25*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/126 - 
   (11*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/32 + 
   (3*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/4 - 
   (11*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   (13*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/28 + 
   (15*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14, 
 H[{6, 1}, {6, 1}, {6, 1}, {2, 0}, 1] -> (16043*Pi^4)/2449440 + 
   (1475*Pi^3*H[{2, 0}, 1])/(163296*Sqrt[3]) + (Pi^2*H[{2, 0}, 1]^2)/162 + 
   (29*Pi^3*H[{3, 1}, 1])/(3888*Sqrt[3]) + 
   (43*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/504 + (Pi^2*H[{3, 1}, 1]^2)/72 - 
   (H[{2, 0}, 1]^2*H[{3, 1}, 1]^2)/24 + (Pi*H[{3, 1}, 1]^3)/(18*Sqrt[3]) + 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]^3)/36 - (1661*Pi^2*H[{3, 0}, {0, 0}, 1])/
    36288 + (7207*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(2016*Sqrt[3]) - 
   (4*Sqrt[3]*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/7 + 
   (H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/24 - 
   (79*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(48*Sqrt[3]) + 
   (Sqrt[3]*Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/2 - 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/4 + 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/8 + (779*H[{3, 0}, {0, 0}, 1]^2)/
    896 - (61*Pi^2*H[{3, 1}, {2, 0}, 1])/756 + 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/12 - 
   (5*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]^2*H[{3, 1}, {2, 0}, 1])/6 - H[{3, 1}, {2, 0}, 1]^2/4 + 
   (1133*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(4536*Sqrt[3]) - 
   (5921*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/6048 + 
   (41*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/144 - 
   (6289*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(12600*Sqrt[3]) + 
   (1389*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/2800 + 
   (5*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 - 
   (Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/28 + 
   (7*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/24 + 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/4 + 
   (319*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1400*Sqrt[3]) - 
   (39*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/200 + 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/4 - 
   (H[{3, 1}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/2 + 
   (5*H[{2, 0}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/12 - 
   (H[{3, 1}, 1]*H[{3, 1}, {1, 0}, {2, 0}, 1])/6 + 
   H[{3, 1}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1] + 
   (871*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   (32*Sqrt[3]*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/35 - 
   (149*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/189 - 
   (19*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/96 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/4 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 - 
   (55*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 - 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/4 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/2 - 
   H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1]/14 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/14 - 
   H[{3, 1}, {1, 0}, {1, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {2, 0}, {1, 0}, {2, 0}, 1]/2 - H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 
    1], H[{6, 1}, {6, 1}, {6, 1}, {3, 0}, 1] -> 
  (625*Pi^4)/244944 - (773*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) + 
   (Pi^2*H[{2, 0}, 1]^2)/648 - (Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) + 
   (271*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/11340 - 
   (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/27 - (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (9*Sqrt[3]) + (311*Pi^2*H[{3, 0}, {0, 0}, 1])/9072 + 
   (271*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) - 
   (2*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/9 - 
   (2*H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 + 
   (1723*H[{3, 0}, {0, 0}, 1]^2)/6720 - (271*Pi^2*H[{3, 1}, {2, 0}, 1])/
    11340 + (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/9 + 
   (2*Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 + 
   (11665*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(108864*Sqrt[3]) - 
   (37*Sqrt[3]*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/2240 - 
   (347*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/2268 + 
   (953*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(5040*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/3 + 
   (61*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(1260*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/9 + 
   (131*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(1260*Sqrt[3]) - 
   (2*Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (2*Pi*H[{3, 1}, {2, 0}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 + 
   (166*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(315*Sqrt[3]) - 
   (2*H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 - 
   (181*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 - 
   (179*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 - 
   (7*H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1])/12 - 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/3 - 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/3 + 
   (5*H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1])/9 + 
   (131*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 + 
   (5*H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1])/9 + 
   H[{3, 0}, {2, 0}, {2, 0}, {0, 0}, 1]/6 + 
   (61*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/420 + 
   (271*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/210 + 
   (2*H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1])/9 - 
   (2*H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1])/3 - 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (2*H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1])/3, 
 H[{6, 1}, {6, 1}, {6, 1}, {3, 1}, 1] -> (-893*Pi^4)/612360 + 
   (115*Pi^3*H[{2, 0}, 1])/(4536*Sqrt[3]) - (Pi^2*H[{2, 0}, 1]^2)/216 + 
   (5*Pi*H[{2, 0}, 1]^3)/(162*Sqrt[3]) - (19*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/
    2268 + (Pi*H[{2, 0}, 1]^2*H[{3, 1}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]^3*H[{3, 1}, 1])/54 + (Pi*H[{2, 0}, 1]*H[{3, 1}, 1]^2)/
    (18*Sqrt[3]) + (187*Pi^2*H[{3, 0}, {0, 0}, 1])/18144 - 
   (193*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(504*Sqrt[3]) + 
   (23*H[{2, 0}, 1]^2*H[{3, 0}, {0, 0}, 1])/72 + 
   (H[{2, 0}, 1]*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/3 - 
   (547*H[{3, 0}, {0, 0}, 1]^2)/1344 + (19*Pi^2*H[{3, 1}, {2, 0}, 1])/2268 - 
   (Pi*H[{2, 0}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{2, 0}, 1]^2*H[{3, 1}, {2, 0}, 1])/18 - 
   (Pi*H[{3, 1}, 1]*H[{3, 1}, {2, 0}, 1])/(9*Sqrt[3]) - 
   (H[{3, 0}, {0, 0}, 1]*H[{3, 1}, {2, 0}, 1])/3 - 
   (2155*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(13608*Sqrt[3]) + 
   (143*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1134 - 
   (46241*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(100800*Sqrt[3]) + 
   (983*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/11200 + 
   (5*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/12 + 
   (Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(28*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/18 - 
   (47*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(252*Sqrt[3]) - 
   (H[{2, 0}, 1]*H[{3, 0}, {2, 0}, {0, 0}, 1])/3 + 
   (Pi*H[{3, 1}, {1, 0}, {2, 0}, 1])/(9*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {2, 0}, {2, 0}, 1])/9 - 
   (19*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(63*Sqrt[3]) + 
   (H[{2, 0}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1])/3 + 
   (128*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/567 + 
   (121*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/288 + 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {1, 0}, {2, 0}, 1]/6 + 
   H[{3, 0}, {0, 0}, {2, 0}, {1, 0}, 1]/6 - 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/9 - 
   (19*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/112 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/18 - 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/9 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/84 - 
   (19*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/42 - 
   H[{3, 1}, {2, 0}, {2, 0}, {2, 0}, 1]/9 + 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/3 + 
   H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 1]/3 - 
   H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]/3, 
 H[{6, 1}, {6, 1}, {6, 1}, {6, 0}, 1] -> (1117*Pi^4)/408240 + 
   (149*Pi^3*H[{2, 0}, 1])/(22680*Sqrt[3]) - (19*Pi^3*H[{3, 1}, 1])/
    (972*Sqrt[3]) + (149*Pi^2*H[{2, 0}, 1]*H[{3, 1}, 1])/3780 - 
   (Pi*H[{3, 1}, 1]^3)/(9*Sqrt[3]) + (107*Pi^2*H[{3, 0}, {0, 0}, 1])/1512 + 
   (149*Pi*H[{2, 0}, 1]*H[{3, 0}, {0, 0}, 1])/(168*Sqrt[3]) + 
   (Pi*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, 1])/(6*Sqrt[3]) - 
   (H[{3, 1}, 1]^2*H[{3, 0}, {0, 0}, 1])/2 + (1217*H[{3, 0}, {0, 0}, 1]^2)/
    2240 - (149*Pi^2*H[{3, 1}, {2, 0}, 1])/3780 + 
   (8087*Pi*H[{1, 0}, {0, 0}, {0, 0}, 1])/(45360*Sqrt[3]) - 
   (83*H[{2, 0}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/1512 - 
   (13*H[{3, 1}, 1]*H[{1, 0}, {0, 0}, {0, 0}, 1])/72 - 
   (4801*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/(8400*Sqrt[3]) + 
   (44*Sqrt[3]*Pi*H[{3, 0}, {0, 0}, {1, 0}, 1])/175 - 
   (3*H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {1, 0}, 1])/4 + 
   (11*Pi*H[{3, 0}, {0, 0}, {2, 0}, 1])/(105*Sqrt[3]) - 
   (H[{3, 1}, 1]*H[{3, 0}, {0, 0}, {2, 0}, 1])/2 + 
   (199*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/(525*Sqrt[3]) - 
   (16*Sqrt[3]*Pi*H[{3, 0}, {2, 0}, {0, 0}, 1])/175 + 
   (193*Pi*H[{3, 1}, {3, 0}, {2, 0}, 1])/(210*Sqrt[3]) - 
   H[{3, 1}, 1]*H[{3, 1}, {3, 0}, {2, 0}, 1] - 
   (40*H[{2, 0}, {0, 0}, {0, 0}, {1, 0}, 1])/63 - 
   (203*H[{3, 0}, {0, 0}, {0, 0}, {0, 0}, 1])/192 - 
   H[{3, 0}, {0, 0}, {1, 0}, {1, 0}, 1] + 
   H[{3, 0}, {0, 0}, {2, 0}, {2, 0}, 1]/2 + 
   (167*H[{3, 0}, {1, 0}, {3, 0}, {0, 0}, 1])/560 + 
   H[{3, 0}, {2, 0}, {0, 0}, {1, 0}, 1]/2 + 
   H[{3, 0}, {2, 0}, {0, 0}, {2, 0}, 1]/2 + 
   (11*H[{3, 0}, {3, 0}, {2, 0}, {0, 0}, 1])/35 + 
   (149*H[{3, 0}, {3, 0}, {2, 0}, {1, 0}, 1])/70 - 
   H[{3, 1}, {3, 0}, {0, 0}, {2, 0}, 1]/2 - H[{3, 1}, {3, 0}, {2, 0}, {0, 0}, 
    1] + H[{3, 1}, {3, 0}, {2, 0}, {2, 0}, 1]}
