Dual hypergraph

List of exceptional divisors (vertices)

Chart IDs and indices to the E components of basic objects with largest dimension Centers
E1     [1.0: 1] [2.0: 1] [3.0: 1] [5.0: 1] [6.0: 1] [8.0: 1] [10.0: 1] [12.0: 1] [13.0: 1] [16.0: 1] [21.0: 1] [23.0: 1] [24.0: 1] [26.0: 1] [27.0: 1] [30.0: 1] [32.0: 1] [34.0: 1] [44.0: 1] [47.0: 1] [49.0: 1] [51.0: 1] [53.0: 1] [55.0: 1] [70.0: 1] [71.0: 1] [72.0: 1] [73.0: 1] [75.0: 1] [81.0: 1] [83.0: 1] [85.0: 1] [94.0: 1] [95.0: 1] [96.0: 1] [97.0: 1] [98.0: 1] [99.0: 1] [100.0: 1] [101.0: 1] [102.0: 1] [103.0: 1] [105.0: 1] [107.0: 1] [108.0: 1] [109.0: 1] [110.0: 1] [111.0: 1] [112.0: 1] [113.0: 1] [114.0: 1] [115.0: 1] [116.0: 1] [117.0: 1] [118.0: 1] [119.0: 1] [120.0: 1] [121.0: 1] [122.0: 1] [123.0: 1] [124.0: 1] [125.0: 1] [126.0: 1] [127.0: 1] [128.0: 1] [129.0: 1] [130.0: 1] [131.0: 1] [138.0: 1] [140.0: 1] [142.0: 1] [143.0: 1] [145.0: 1] [4,0][4/3,0][1,0]
[0.0]
[]
Dim: 0
E2     [102.0: 2] [103.0: 2] [104.0: 1] [105.0: 2] [106.0: 1] [107.0: 2] [108.0: 2] [109.0: 2] [110.0: 2] [111.0: 2] [113.0: 2] [124.0: 2] [131.0: 2] [132.0: 1] [133.0: 1] [134.0: 1] [135.0: 1] [136.0: 1] [137.0: 1] [138.0: 2] [139.0: 1] [140.0: 2] [141.0: 1] [142.0: 2] [143.0: 2] [144.0: 1] [145.0: 2] [146.0: 1] [147.0: 1] [148.0: 1] [149.0: 1] [150.0: 1] [151.0: 1] [152.0: 1] [153.0: 1] [154.0: 1] [155.0: 1] [156.0: 1] [157.0: 1] [158.0: 1] [159.0: 1] [160.0: 1] [161.0: 1] [162.0: 1] [3,1][1,0][1,0]
[3.0]
[1]
Dim: 0
E3     [11.0: 1] [12.0: 2] [13.0: 2] [14.0: 1] [15.0: 1] [18.0: 1] [22.0: 1] [23.0: 2] [28.0: 1] [29.0: 1] [30.0: 2] [31.0: 1] [32.0: 2] [33.0: 1] [35.0: 1] [37.0: 1] [41.0: 1] [2,1][2,0][3,0]
[2.0]
[1]
Dim: 0
E4     [22.0: 2] [23.0: 3] [24.0: 2] [25.0: 2] [25.0: 1] [26.0: 3] [26.0: 2] [27.0: 2] [28.0: 2] [29.0: 2] [35.0: 2] [45.0: 1] [46.0: 1] [47.0: 2] [48.0: 1] [49.0: 2] [50.0: 1] [56.0: 1] [58.0: 1] [61.0: 1] [74.0: 1] [75.0: 2] [77.0: 1] [80.0: 1] [86.0: 1] [2,1][2,0][0,1]
[13.0, 24.0]
[1, 3, 4]
Dim: 0
E5     [74.0: 2] [75.0: 3] [76.0: 1] [77.0: 2] [78.0: 1] [79.0: 1] [80.0: 2] [81.0: 2] [82.0: 1] [83.0: 2] [84.0: 1] [85.0: 2] [86.0: 2] [87.0: 1] [88.0: 1] [89.0: 1] [90.0: 1] [91.0: 1] [92.0: 1] [93.0: 1] [94.0: 2] [95.0: 2] [96.0: 2] [97.0: 2] [105.0: 3] [106.0: 2] [107.0: 3] [108.0: 3] [109.0: 3] [110.0: 3] [111.0: 3] [112.0: 2] [114.0: 2] [115.0: 2] [131.0: 3] [132.0: 2] [133.0: 2] [134.0: 2] [135.0: 2] [136.0: 2] [2,1][1,0]*
[27.0, 102.0]
[1]
Dim: 1
E6     [46.0: 3] [47.0: 3] [48.0: 2] [56.0: 3] [58.0: 2] [80.0: 3] [81.0: 3] [82.0: 2] [86.0: 3] [88.0: 2] [2,1](-1,3,[4])
[26.0, 75.0]
[1, 4]
Dim: 1
E7     [48.0: 3] [49.0: 3] [50.0: 2] [51.0: 2] [52.0: 1] [53.0: 2] [54.0: 1] [57.0: 1] [58.0: 3] [59.0: 1] [60.0: 1] [61.0: 2] [62.0: 1] [63.0: 1] [65.0: 1] [66.0: 1] [68.0: 1] [82.0: 3] [83.0: 3] [84.0: 2] [87.0: 2] [88.0: 3] [89.0: 2] [90.0: 2] [91.0: 2] [92.0: 2] [93.0: 2] [2,1](-1,2,[6])
[47.0, 81.0]
[1, 6]
Dim: 1
E8     [29.0: 3] [30.0: 3] [31.0: 2] [35.0: 3] [37.0: 2] [50.0: 3] [51.0: 3] [52.0: 2] [61.0: 3] [62.0: 2] [2,1](-1,2,[4])
[23.0, 49.0]
[1, 4]
Dim: 1
E9     [31.0: 3] [32.0: 3] [33.0: 2] [34.0: 2] [36.0: 1] [37.0: 3] [38.0: 1] [39.0: 1] [40.0: 1] [41.0: 2] [42.0: 1] [43.0: 1] [44.0: 2] [52.0: 3] [53.0: 3] [54.0: 2] [55.0: 2] [62.0: 3] [63.0: 2] [64.0: 1] [65.0: 2] [66.0: 2] [67.0: 1] [68.0: 2] [69.0: 1] [70.0: 2] [71.0: 2] [72.0: 2] [73.0: 2] [2,1](-1,1,[8])
[30.0, 51.0]
[1, 8]
Dim: 1
E10     [54.0: 3] [55.0: 3] [63.0: 3] [64.0: 2] [65.0: 3] [66.0: 3] [67.0: 2] [68.0: 3] [69.0: 2] [70.0: 3] [71.0: 3] [72.0: 3] [73.0: 3] [84.0: 3] [85.0: 3] [91.0: 3] [92.0: 3] [93.0: 3] [94.0: 3] [95.0: 3] [96.0: 3] [97.0: 3] [98.0: 2] [99.0: 2] [100.0: 2] [101.0: 2] [2,1](-1,1,[7])
[53.0, 83.0]
[1, 7]
Dim: 1
E11     [15.0: 2] [16.0: 2] [17.0: 1] [18.0: 2] [19.0: 1] [20.0: 1] [21.0: 2] [33.0: 3] [34.0: 3] [40.0: 2] [41.0: 3] [42.0: 2] [43.0: 2] [44.0: 3] [2,1](-1,1,[3])
[12.0, 32.0]
[1, 3]
Dim: 1
E12     [155.0: 2] [156.0: 2] [157.0: 2] [158.0: 2] [159.0: 2] [160.0: 2] [161.0: 2] [162.0: 2] [2,0][1,0]*
[104.0]
[]
Dim: 1
E13     [111.0: 4] [112.0: 3] [113.0: 3] [114.0: 3] [115.0: 3] [116.0: 2] [117.0: 2] [124.0: 3] [125.0: 2] [126.0: 2] [1,2][3,0][1,0]
[110.0]
[1, 2, 5]
Dim: 0
E14     [142.0: 3] [143.0: 3] [144.0: 2] [145.0: 3] [146.0: 2] [147.0: 2] [150.0: 2] [151.0: 2] [152.0: 2] [1,1][2,0][1,0]
[140.0]
[1, 2]
Dim: 0
E15     [97.0: 4] [98.0: 3] [99.0: 3] [115.0: 4] [116.0: 3] [117.0: 3] [118.0: 2] [119.0: 2] [120.0: 2] [121.0: 2] [1,1][2,0]*
[96.0, 114.0]
[1, 5]
Dim: 1
E16     [124.0: 4] [125.0: 3] [126.0: 3] [127.0: 2] [128.0: 2] [129.0: 2] [130.0: 2] [131.0: 4] [132.0: 3] [133.0: 3] [145.0: 4] [146.0: 3] [147.0: 3] [148.0: 2] [149.0: 2] [1,1][1,0]*
[109.0, 113.0, 143.0]
[1, 2]
Dim: 1
E17     [150.0: 3] [151.0: 3] [152.0: 3] [153.0: 2] [154.0: 2] [1,0][1,0]*
[144.0]
[2]
Dim: 1
E18     [9.0: 1] [10.0: 2] [20.0: 2] [39.0: 2] [43.0: 3] [68.0: 4] [69.0: 3] [79.0: 2] [93.0: 4] [101.0: 4] [123.0: 4] [130.0: 4] [133.0: 4] [136.0: 3] [141.0: 2] [149.0: 4] [154.0: 4] [159.0: 3] [162.0: 3] [1,0]*
[7.0, 8.0, 19.0, 38.0, 42.0, 66.0, 67.0, 78.0, 92.0, 100.0, 122.0, 129.0, 132.0, 135.0, 139.0, 148.0, 153.0, 158.0, 161.0]
[]
Dim: 2
E19     [117.0: 4] [118.0: 3] [119.0: 3] [126.0: 4] [127.0: 3] [128.0: 3] [1,0](-1,2,[13])
[116.0, 125.0]
[1, 13]
Dim: 1
E20     [119.0: 4] [120.0: 3] [121.0: 3] [122.0: 2] [123.0: 2] [128.0: 4] [129.0: 3] [130.0: 3] [1,0](-1,1,[19])
[118.0, 127.0]
[1, 19]
Dim: 1
E21     [99.0: 4] [100.0: 3] [101.0: 3] [121.0: 4] [122.0: 3] [123.0: 3] [1,0](-1,1,[15])
[98.0, 120.0]
[1, 15]
Dim: 1
E22     [147.0: 4] [148.0: 3] [149.0: 3] [152.0: 4] [153.0: 3] [154.0: 3] [1,0](-1,1,[14])
[146.0, 151.0]
[2, 14]
Dim: 1

List of hyperbonds (edges, faces, etc.)

[[3, 4, 8], [3, 8, 9], [3, 9, 11], [9, 11, 18], [1, 9, 11], [4, 6, 7], [4, 7, 8], [7, 8, 9], [7, 9, 10], [9, 10, 18], [1, 9, 10], [4, 5, 6], [5, 6, 7], [5, 7, 10], [5, 10, 18], [5, 10, 15], [10, 15, 21], [1, 10, 21], [10, 18, 21], [2, 5, 13], [5, 13, 15], [13, 15, 19], [15, 19, 20], [15, 20, 21], [1, 20, 21], [18, 20, 21], [2, 13, 16], [13, 16, 19], [16, 19, 20], [1, 16, 20], [16, 18, 20], [1, 5, 16], [5, 16, 18], [2, 5, 18], [1, 14, 16], [14, 16, 22], [2, 16, 22], [16, 18, 22], [14, 17, 22], [2, 17, 22], [17, 18, 22], [2, 12, 18]]

Explanation and remarks