Hugging Face's logo

Datasets:
PureOne
/
hsin-heart-exact84-two-intersection

Languages:
English
Size:
n<1K
Tags:
mathematics
combinatorics
extremal-combinatorics
coding-theory
finite-geometry
johnson-scheme
License:
Dataset card Files
xet
 Community
hsin-heart-exact84-two-intersection / verification /core38_final_data.json
PureOne's picture
PureOne
Public research release: exact-84 candidate theorem, rigidity, stability, verifier, and prior-art audit
79134ea verified
Raw
History Blame Contribute Delete
103 kB
[
 {
 "parent": 1,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 120,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 21,
 "8": 234,
 "12": 234,
 "16": 21,
 "20": 1
 },
 "octads": 234,
 "conflict_component_sizes": [
 106,
 128
 ],
 "conflict_degree_distribution": [
 [
 15,
 16
 ],
 [
 19,
 90
 ],
 [
 21,
 128
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "011000011000000000000",
 "000000000111100000000",
 "000000000110011000000",
 "000000000110000110000",
 "000000000110000001100",
 "011000000101010101010",
 "011000000011010101001"
 ],
 "id": 1,
 "certificate_type": "color",
 "color_count": 63,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 0,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 0,
 19,
 19,
 19,
 20,
 20,
 20,
 0,
 0,
 0,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 38,
 39,
 39,
 39,
 39,
 40,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 42,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 45,
 45,
 46,
 46,
 46,
 46,
 47,
 47,
 47,
 47,
 48,
 48,
 48,
 48,
 49,
 49,
 49,
 49,
 50,
 50,
 50,
 50,
 51,
 51,
 51,
 51,
 52,
 52,
 52,
 52,
 53,
 53,
 53,
 54,
 54,
 54,
 55,
 55,
 55,
 56,
 56,
 56,
 57,
 57,
 57,
 58,
 58,
 58,
 19,
 59,
 59,
 59,
 60,
 60,
 60,
 17,
 15,
 13,
 61,
 61,
 61,
 62,
 62,
 62,
 11,
 9,
 7,
 5,
 3,
 1
 ]
 },
 {
 "parent": 1,
 "triple": [
 0,
 2,
 12
 ],
 "multiplicity": 1440,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 16,
 "8": 170,
 "12": 312,
 "16": 13
 },
 "octads": 170,
 "conflict_component_sizes": [
 46,
 60,
 64
 ],
 "conflict_degree_distribution": [
 [
 5,
 1
 ],
 [
 11,
 40
 ],
 [
 13,
 129
 ]
 ],
 "generator_rows": [
 "001111000000000000000",
 "001100110000000000000",
 "001100001100000000000",
 "111010101001100000000",
 "111010101000011000000",
 "111010101000000110000",
 "111010101000000001100",
 "110110101011010101010",
 "001100000011010101001"
 ],
 "id": 2,
 "certificate_type": "color",
 "color_count": 47,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 0,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 0,
 45,
 45,
 45,
 46,
 46,
 46,
 0,
 0,
 0
 ]
 },
 {
 "parent": 1,
 "triple": [
 0,
 2,
 4
 ],
 "multiplicity": 320,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 18,
 "8": 180,
 "12": 286,
 "16": 27
 },
 "octads": 180,
 "conflict_component_sizes": [
 84,
 96
 ],
 "conflict_degree_distribution": [
 [
 11,
 45
 ],
 [
 13,
 24
 ],
 [
 19,
 111
 ]
 ],
 "generator_rows": [
 "000111100000000000000",
 "000110011000000000000",
 "111011010110000000000",
 "111011010001100000000",
 "111011010000011000000",
 "111011010000000110000",
 "111011010000000001100",
 "000110000101010101010",
 "111101010101010101001"
 ],
 "id": 3,
 "certificate_type": "color",
 "color_count": 53,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 6,
 14,
 14,
 14,
 3,
 1,
 0,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 50,
 50,
 50,
 6,
 51,
 51,
 51,
 3,
 1,
 0,
 52,
 52,
 52,
 3,
 1,
 0,
 1,
 0,
 0
 ]
 },
 {
 "parent": 1,
 "triple": [
 0,
 1,
 12
 ],
 "multiplicity": 144,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 20,
 "8": 190,
 "12": 260,
 "16": 41
 },
 "octads": 190,
 "conflict_component_sizes": [
 90,
 100
 ],
 "conflict_degree_distribution": [
 [
 9,
 5
 ],
 [
 15,
 80
 ],
 [
 21,
 100
 ],
 [
 25,
 5
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "110000110000000000000",
 "110000001100000000000",
 "000000000001111000000",
 "000000000001100110000",
 "000000000001100001100",
 "110000000010110101010",
 "110000000011010101001"
 ],
 "id": 4,
 "certificate_type": "color",
 "color_count": 47,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 2,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 5,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 8,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 7,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 4,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 1,
 0,
 19,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 7,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 4,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 1,
 0,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 1,
 0,
 0,
 0
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 40,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 17,
 "8": 238,
 "12": 238,
 "16": 17,
 "20": 1
 },
 "octads": 238,
 "conflict_component_sizes": [
 238
 ],
 "conflict_degree_distribution": [
 [
 15,
 91
 ],
 [
 17,
 147
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "000000011110000000000",
 "000000011001100000000",
 "000000010101010000000",
 "000000000000001111000",
 "011000001101000110100",
 "011000001101001010010",
 "011000001101001100001"
 ],
 "id": 5,
 "certificate_type": "color",
 "color_count": 66,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 38,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 40,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 50,
 50,
 50,
 51,
 51,
 51,
 52,
 52,
 52,
 53,
 53,
 53,
 54,
 54,
 54,
 55,
 55,
 55,
 36,
 35,
 34,
 33,
 32,
 31,
 30,
 56,
 56,
 56,
 29,
 28,
 27,
 26,
 25,
 24,
 23,
 57,
 57,
 57,
 22,
 21,
 20,
 19,
 18,
 17,
 16,
 58,
 58,
 58,
 15,
 14,
 13,
 12,
 11,
 10,
 9,
 59,
 59,
 59,
 60,
 60,
 60,
 61,
 61,
 61,
 62,
 62,
 62,
 63,
 63,
 63,
 64,
 64,
 64,
 65,
 65,
 65
 ]
 },
 {
 "parent": 2,
 "triple": [
 10,
 11,
 12
 ],
 "multiplicity": 56,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 17,
 "8": 238,
 "12": 238,
 "16": 17,
 "20": 1
 },
 "octads": 238,
 "conflict_component_sizes": [
 110,
 128
 ],
 "conflict_degree_distribution": [
 [
 11,
 5
 ],
 [
 15,
 70
 ],
 [
 17,
 163
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "110000110000000000000",
 "110000001100000000000",
 "011010101001110000000",
 "000000000000001111000",
 "101010101000000110100",
 "101010101000001010010",
 "101010101000001100001"
 ],
 "id": 6,
 "certificate_type": "color",
 "color_count": 61,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 6,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 29,
 31,
 31,
 31,
 32,
 32,
 32,
 33,
 33,
 33,
 32,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 31,
 31,
 39,
 39,
 39,
 39,
 40,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 42,
 43,
 43,
 43,
 28,
 28,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 45,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 48,
 50,
 50,
 50,
 51,
 51,
 51,
 52,
 52,
 52,
 51,
 53,
 53,
 53,
 54,
 54,
 54,
 55,
 55,
 55,
 54,
 56,
 56,
 56,
 56,
 57,
 57,
 57,
 57,
 58,
 58,
 58,
 58,
 59,
 59,
 59,
 59,
 60,
 60,
 60,
 5,
 5
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 10,
 17
 ],
 "multiplicity": 490,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 12,
 "8": 174,
 "12": 316,
 "16": 9
 },
 "octads": 174,
 "conflict_component_sizes": [
 10,
 32,
 32,
 36,
 64
 ],
 "conflict_degree_distribution": [
 [
 5,
 9
 ],
 [
 9,
 165
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "011000011000000000000",
 "110101010110100000000",
 "110101010101010000000",
 "110101010011001000000",
 "101101010000000110100",
 "101101010000000101010",
 "101101010000000011001"
 ],
 "id": 7,
 "certificate_type": "color",
 "color_count": 47,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 0,
 0,
 0,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 42,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 45,
 45,
 46,
 46,
 46,
 46
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 2,
 10
 ],
 "multiplicity": 560,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 13,
 "8": 179,
 "12": 303,
 "16": 16
 },
 "octads": 179,
 "conflict_component_sizes": [
 9,
 16,
 49,
 105
 ],
 "conflict_degree_distribution": [
 [
 4,
 9
 ],
 [
 6,
 16
 ],
 [
 12,
 154
 ]
 ],
 "generator_rows": [
 "001111000000000000000",
 "001100110000000000000",
 "110110101101000000000",
 "110110101010100000000",
 "110110100110010000000",
 "000000000000001111000",
 "111010100000000110100",
 "111010100000001010010",
 "111010100000001100001"
 ],
 "id": 8,
 "certificate_type": "color",
 "color_count": 49,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 30,
 30,
 30,
 30,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 24,
 24,
 24,
 42,
 42,
 42,
 19,
 19,
 19,
 43,
 43,
 43,
 14,
 14,
 14,
 44,
 44,
 44,
 9,
 9,
 9,
 8,
 8,
 8,
 8,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 10,
 11
 ],
 "multiplicity": 420,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 14,
 "8": 184,
 "12": 290,
 "16": 23
 },
 "octads": 184,
 "conflict_component_sizes": [
 16,
 64,
 104
 ],
 "conflict_degree_distribution": [
 [
 7,
 17
 ],
 [
 11,
 6
 ],
 [
 13,
 112
 ],
 [
 15,
 49
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "011000011000000000000",
 "000000000111100000000",
 "110101010110010000000",
 "000000000000001111000",
 "101101010000000110100",
 "101101010000001010010",
 "101101010000001100001"
 ],
 "id": 9,
 "certificate_type": "color",
 "color_count": 49,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 0,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 0,
 27,
 27,
 27,
 28,
 28,
 28,
 0,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 27,
 32,
 32,
 32,
 27,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 25,
 36,
 36,
 36,
 25,
 37,
 37,
 37,
 38,
 38,
 38,
 0,
 39,
 39,
 39,
 40,
 40,
 40,
 0,
 41,
 41,
 41,
 42,
 42,
 42,
 0,
 43,
 43,
 43,
 44,
 44,
 44,
 0,
 45,
 45,
 45,
 45,
 46,
 46,
 46,
 46,
 47,
 47,
 47,
 7,
 48,
 48,
 48,
 7
 ]
 },
 {
 "parent": 2,
 "triple": [
 10,
 11,
 17
 ],
 "multiplicity": 294,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 14,
 "8": 184,
 "12": 290,
 "16": 23
 },
 "octads": 184,
 "conflict_component_sizes": [
 40,
 48,
 96
 ],
 "conflict_degree_distribution": [
 [
 7,
 3
 ],
 [
 9,
 40
 ],
 [
 11,
 30
 ],
 [
 15,
 111
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "110000110000000000000",
 "110000001100000000000",
 "000000000011110000000",
 "011010101011001000000",
 "101010101000000110100",
 "101010101000000101010",
 "101010101000000011001"
 ],
 "id": 10,
 "certificate_type": "color",
 "color_count": 45,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 2,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 1,
 0,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 1,
 0,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 1,
 0,
 39,
 39,
 39,
 39,
 40,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 42,
 43,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 44
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 2,
 4
 ],
 "multiplicity": 80,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 15,
 "8": 189,
 "12": 277,
 "16": 30
 },
 "octads": 189,
 "conflict_component_sizes": [
 7,
 7,
 175
 ],
 "conflict_degree_distribution": [
 [
 6,
 14
 ],
 [
 14,
 126
 ],
 [
 18,
 49
 ]
 ],
 "generator_rows": [
 "000111100000000000000",
 "000000011110000000000",
 "111101001101000000000",
 "111101010100100000000",
 "111101011000010000000",
 "000000000000001111000",
 "111011000000000110100",
 "111011000000001010010",
 "111011000000001100001"
 ],
 "id": 11,
 "certificate_type": "color",
 "color_count": 65,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 2,
 2,
 3,
 3,
 4,
 4,
 0,
 0,
 5,
 5,
 6,
 6,
 0,
 0,
 0,
 0,
 7,
 7,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 9,
 9,
 10,
 10,
 11,
 11,
 12,
 12,
 13,
 13,
 14,
 14,
 15,
 15,
 16,
 16,
 17,
 17,
 18,
 18,
 19,
 19,
 20,
 20,
 21,
 21,
 22,
 22,
 23,
 23,
 24,
 24,
 25,
 25,
 26,
 26,
 27,
 27,
 28,
 28,
 29,
 29,
 30,
 30,
 31,
 31,
 32,
 32,
 33,
 33,
 34,
 34,
 35,
 35,
 36,
 36,
 37,
 37,
 38,
 38,
 39,
 39,
 40,
 40,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 41,
 41,
 42,
 42,
 43,
 43,
 44,
 44,
 45,
 45,
 46,
 46,
 47,
 47,
 48,
 48,
 49,
 49,
 50,
 50,
 51,
 51,
 52,
 52,
 53,
 53,
 54,
 54,
 55,
 55,
 56,
 56,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 8,
 7,
 6,
 5,
 4,
 3,
 2,
 1,
 57,
 57,
 58,
 58,
 59,
 59,
 60,
 60,
 61,
 61,
 62,
 62,
 63,
 63,
 64,
 64
 ]
 },
 {
 "parent": 2,
 "triple": [
 0,
 1,
 10
 ],
 "multiplicity": 70,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 16,
 "8": 194,
 "12": 264,
 "16": 37
 },
 "octads": 194,
 "conflict_component_sizes": [
 22,
 172
 ],
 "conflict_degree_distribution": [
 [
 9,
 21
 ],
 [
 13,
 18
 ],
 [
 15,
 112
 ],
 [
 21,
 43
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "110000110000000000000",
 "000000000111100000000",
 "000000001011010000000",
 "000000000000001111000",
 "110000001101000110100",
 "110000001101001010010",
 "110000001101001100001"
 ],
 "id": 12,
 "certificate_type": "color",
 "color_count": 55,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 0,
 0,
 0,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 28,
 32,
 32,
 32,
 28,
 33,
 33,
 33,
 28,
 34,
 34,
 34,
 28,
 35,
 35,
 35,
 25,
 36,
 36,
 36,
 25,
 37,
 37,
 37,
 25,
 38,
 38,
 38,
 25,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 50,
 50,
 50,
 51,
 51,
 51,
 7,
 52,
 52,
 52,
 7,
 53,
 53,
 53,
 7,
 54,
 54,
 54,
 7
 ]
 },
 {
 "parent": 2,
 "triple": [
 10,
 11,
 16
 ],
 "multiplicity": 14,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 18,
 "8": 204,
 "12": 238,
 "16": 51
 },
 "octads": 204,
 "conflict_component_sizes": [
 80,
 124
 ],
 "conflict_degree_distribution": [
 [
 11,
 5
 ],
 [
 15,
 70
 ],
 [
 17,
 112
 ],
 [
 27,
 17
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "110000110000000000000",
 "110000001100000000000",
 "000000000011110000000",
 "000000000000001111000",
 "101010101000000110100",
 "101010101000001010010",
 "101010101000001100001"
 ],
 "id": 13,
 "certificate_type": "color",
 "color_count": 53,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 2,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 1,
 0,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 1,
 0,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 1,
 0,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 1,
 0,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 1,
 0,
 43,
 43,
 43,
 44,
 44,
 44,
 45,
 45,
 45,
 1,
 0,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 1,
 0,
 49,
 49,
 49,
 49,
 50,
 50,
 50,
 50,
 51,
 51,
 51,
 51,
 52,
 52,
 52,
 52
 ]
 },
 {
 "parent": 3,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 72,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 13,
 "8": 242,
 "12": 242,
 "16": 13,
 "20": 1
 },
 "octads": 242,
 "conflict_component_sizes": [
 50,
 64,
 64,
 64
 ],
 "conflict_degree_distribution": [
 [
 7,
 2
 ],
 [
 11,
 48
 ],
 [
 13,
 192
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "000001111000000000000",
 "000001100110000000000",
 "000001100001100000000",
 "011001010101011000000",
 "011001010101000110000",
 "011001010101000001100",
 "011001100000010101010",
 "000000110101010101001"
 ],
 "id": 14,
 "certificate_type": "color",
 "color_count": 73,
 "colors_for_sorted_octads": [
 1,
 34,
 1,
 5,
 1,
 2,
 0,
 7,
 9,
 8,
 8,
 11,
 9,
 13,
 9,
 12,
 45,
 44,
 46,
 42,
 9,
 10,
 41,
 7,
 10,
 47,
 42,
 11,
 44,
 45,
 12,
 14,
 13,
 14,
 46,
 14,
 49,
 14,
 41,
 0,
 2,
 3,
 5,
 4,
 4,
 4,
 7,
 10,
 43,
 43,
 11,
 44,
 13,
 12,
 48,
 45,
 48,
 46,
 42,
 47,
 48,
 41,
 0,
 33,
 3,
 5,
 6,
 6,
 6,
 0,
 32,
 31,
 35,
 31,
 34,
 31,
 15,
 21,
 15,
 16,
 25,
 27,
 15,
 56,
 17,
 18,
 18,
 29,
 18,
 52,
 51,
 18,
 17,
 19,
 23,
 29,
 55,
 52,
 20,
 50,
 22,
 21,
 22,
 16,
 25,
 27,
 22,
 56,
 17,
 19,
 23,
 29,
 55,
 24,
 51,
 50,
 57,
 21,
 58,
 16,
 25,
 27,
 26,
 26,
 28,
 21,
 28,
 16,
 59,
 27,
 28,
 56,
 54,
 54,
 54,
 29,
 30,
 52,
 51,
 50,
 17,
 19,
 23,
 30,
 55,
 67,
 67,
 67,
 57,
 65,
 58,
 62,
 25,
 28,
 60,
 60,
 63,
 61,
 63,
 61,
 59,
 61,
 63,
 56,
 68,
 68,
 24,
 68,
 69,
 52,
 69,
 69,
 57,
 65,
 58,
 62,
 59,
 22,
 66,
 64,
 70,
 20,
 70,
 70,
 71,
 71,
 51,
 71,
 53,
 19,
 23,
 53,
 55,
 53,
 53,
 50,
 57,
 65,
 58,
 62,
 59,
 15,
 66,
 64,
 7,
 10,
 47,
 42,
 11,
 44,
 13,
 12,
 72,
 45,
 72,
 46,
 72,
 49,
 72,
 41,
 31,
 2,
 3,
 5,
 35,
 37,
 32,
 6,
 2,
 38,
 38,
 39,
 34,
 33,
 4,
 36,
 36,
 36,
 39,
 34,
 40,
 1
 ]
 },
 {
 "parent": 3,
 "triple": [
 0,
 8,
 16
 ],
 "multiplicity": 512,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 9,
 "8": 183,
 "12": 307,
 "16": 12
 },
 "octads": 183,
 "conflict_component_sizes": [
 16,
 16,
 16,
 45,
 45,
 45
 ],
 "conflict_degree_distribution": [
 [
 6,
 48
 ],
 [
 8,
 135
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "000000001111000000000",
 "110101011010100000000",
 "110101010110010000000",
 "101101001100000110000",
 "101101001100000001100",
 "110101000000001101010",
 "011000001100001101001"
 ],
 "id": 15,
 "certificate_type": "color",
 "color_count": 52,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 38,
 39,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 49,
 50,
 50,
 50,
 20,
 15,
 14,
 51,
 51,
 51,
 13,
 8,
 7
 ]
 },
 {
 "parent": 3,
 "triple": [
 0,
 2,
 8
 ],
 "multiplicity": 1152,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 10,
 "8": 188,
 "12": 294,
 "16": 19
 },
 "octads": 188,
 "conflict_component_sizes": [
 12,
 32,
 48,
 48,
 48
 ],
 "conflict_degree_distribution": [
 [
 3,
 3
 ],
 [
 5,
 8
 ],
 [
 7,
 38
 ],
 [
 9,
 24
 ],
 [
 11,
 115
 ]
 ],
 "generator_rows": [
 "001111000000000000000",
 "000000011110000000000",
 "110110110101000000000",
 "110110101100100000000",
 "111010011000011000000",
 "111010011000000110000",
 "111010011000000001100",
 "001100011000010101010",
 "110110000000010101001"
 ],
 "id": 16,
 "certificate_type": "color",
 "color_count": 68,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 2,
 2,
 3,
 3,
 4,
 4,
 0,
 0,
 5,
 5,
 6,
 6,
 7,
 7,
 8,
 8,
 9,
 9,
 10,
 10,
 11,
 11,
 12,
 12,
 13,
 13,
 14,
 14,
 15,
 15,
 16,
 16,
 17,
 17,
 18,
 18,
 19,
 20,
 20,
 20,
 21,
 21,
 22,
 22,
 23,
 23,
 24,
 24,
 25,
 25,
 26,
 26,
 27,
 27,
 19,
 18,
 13,
 12,
 19,
 11,
 6,
 5,
 28,
 28,
 29,
 29,
 30,
 30,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 36,
 36,
 37,
 37,
 38,
 38,
 39,
 39,
 39,
 39,
 40,
 40,
 41,
 41,
 42,
 42,
 43,
 43,
 44,
 44,
 45,
 45,
 46,
 46,
 47,
 47,
 47,
 47,
 47,
 47,
 46,
 46,
 46,
 46,
 48,
 48,
 49,
 49,
 50,
 50,
 51,
 51,
 52,
 52,
 53,
 53,
 39,
 39,
 38,
 38,
 38,
 38,
 54,
 54,
 55,
 55,
 56,
 56,
 34,
 34,
 33,
 33,
 33,
 33,
 32,
 32,
 31,
 31,
 31,
 31,
 57,
 57,
 58,
 58,
 59,
 59,
 60,
 60,
 61,
 61,
 62,
 62,
 63,
 63,
 64,
 64,
 65,
 65,
 66,
 66,
 67,
 18,
 13,
 12,
 67,
 11,
 6,
 5,
 20,
 11,
 6,
 5,
 0
 ]
 },
 {
 "parent": 3,
 "triple": [
 0,
 1,
 8
 ],
 "multiplicity": 192,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 12,
 "8": 198,
 "12": 268,
 "16": 33
 },
 "octads": 198,
 "conflict_component_sizes": [
 32,
 82,
 84
 ],
 "conflict_degree_distribution": [
 [
 9,
 51
 ],
 [
 11,
 48
 ],
 [
 13,
 9
 ],
 [
 15,
 72
 ],
 [
 17,
 18
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "000000011110000000000",
 "000000011001100000000",
 "110000101101011000000",
 "110000101101000110000",
 "110000101101000001100",
 "110000011000010101010",
 "000000110101010101001"
 ],
 "id": 17,
 "certificate_type": "color",
 "color_count": 57,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 33,
 33,
 33,
 34,
 34,
 34,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 48,
 49,
 49,
 49,
 49,
 50,
 50,
 50,
 51,
 51,
 51,
 52,
 52,
 52,
 53,
 53,
 53,
 54,
 54,
 54,
 55,
 55,
 55,
 56,
 56,
 56,
 20,
 20,
 20,
 19,
 19,
 19,
 18,
 18,
 18,
 17,
 17,
 17,
 12,
 12,
 12,
 11,
 11,
 11,
 0
 ]
 },
 {
 "parent": 3,
 "triple": [
 0,
 2,
 4
 ],
 "multiplicity": 96,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 12,
 "8": 198,
 "12": 268,
 "16": 33
 },
 "octads": 198,
 "conflict_component_sizes": [
 32,
 32,
 52,
 82
 ],
 "conflict_degree_distribution": [
 [
 9,
 66
 ],
 [
 13,
 36
 ],
 [
 15,
 96
 ]
 ],
 "generator_rows": [
 "000001111000000000000",
 "000001100110000000000",
 "111100110101000000000",
 "111101010100100000000",
 "111011100000011000000",
 "111011100000000110000",
 "111011100000000001100",
 "000111100000010101010",
 "111100000000010101001"
 ],
 "id": 18,
 "certificate_type": "color",
 "color_count": 51,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 3,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 6,
 9,
 9,
 9,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 9,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 2,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 2,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 2,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 2,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 28,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 24,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 21,
 37,
 37,
 37,
 37,
 38,
 38,
 38,
 38,
 19,
 39,
 39,
 39,
 39,
 40,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 9,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 50,
 50,
 50,
 0
 ]
 },
 {
 "parent": 4,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 48,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 9,
 "8": 246,
 "12": 246,
 "16": 9,
 "20": 1
 },
 "octads": 246,
 "conflict_component_sizes": [
 54,
 64,
 64,
 64
 ],
 "conflict_degree_distribution": [
 [
 7,
 27
 ],
 [
 9,
 219
 ]
 ],
 "generator_rows": [
 "000111100000000000000",
 "000110011000000000000",
 "000000000111100000000",
 "011101010101010000000",
 "011101010011001000000",
 "011110000110000110000",
 "011110000110000001100",
 "011011010000000101010",
 "000101010110000101001"
 ],
 "id": 19,
 "certificate_type": "color",
 "color_count": 66,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 31,
 31,
 31,
 31,
 32,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 41,
 42,
 42,
 42,
 42,
 40,
 39,
 38,
 37,
 43,
 43,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 48,
 48,
 48,
 49,
 49,
 49,
 49,
 50,
 50,
 50,
 51,
 51,
 51,
 52,
 52,
 52,
 53,
 53,
 53,
 54,
 54,
 54,
 54,
 55,
 55,
 55,
 55,
 27,
 26,
 25,
 24,
 56,
 56,
 56,
 56,
 57,
 57,
 57,
 58,
 58,
 58,
 59,
 59,
 59,
 59,
 60,
 60,
 60,
 60,
 61,
 61,
 61,
 61,
 62,
 62,
 62,
 62,
 63,
 63,
 63,
 64,
 64,
 64,
 20,
 15,
 14,
 65,
 65,
 65,
 13,
 8,
 7
 ]
 },
 {
 "parent": 4,
 "triple": [
 0,
 6,
 12
 ],
 "multiplicity": 864,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 6,
 "8": 192,
 "12": 298,
 "16": 15
 },
 "octads": 192,
 "conflict_component_sizes": [
 8,
 8,
 8,
 16,
 16,
 16,
 24,
 32,
 32,
 32
 ],
 "conflict_degree_distribution": [
 [
 3,
 27
 ],
 [
 5,
 36
 ],
 [
 7,
 129
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "000000111100000000000",
 "110101101001100000000",
 "101100110011010000000",
 "011001011011001000000",
 "101101011000000110000",
 "101101011000000001100",
 "011001101000000101010",
 "110100110000000101001"
 ],
 "id": 20,
 "certificate_type": "color",
 "color_count": 81,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 2,
 2,
 3,
 3,
 4,
 4,
 5,
 5,
 6,
 6,
 7,
 7,
 8,
 8,
 9,
 9,
 10,
 10,
 11,
 11,
 12,
 12,
 13,
 14,
 15,
 15,
 16,
 16,
 17,
 17,
 18,
 18,
 19,
 19,
 20,
 20,
 21,
 21,
 22,
 22,
 23,
 23,
 24,
 24,
 25,
 25,
 26,
 26,
 27,
 27,
 28,
 28,
 29,
 29,
 30,
 30,
 31,
 31,
 32,
 32,
 33,
 33,
 34,
 34,
 14,
 13,
 0,
 35,
 35,
 36,
 36,
 37,
 37,
 38,
 38,
 39,
 39,
 40,
 40,
 41,
 41,
 42,
 42,
 43,
 43,
 44,
 44,
 45,
 45,
 46,
 46,
 47,
 47,
 48,
 48,
 49,
 49,
 50,
 50,
 51,
 51,
 52,
 52,
 53,
 53,
 54,
 54,
 55,
 55,
 56,
 56,
 57,
 57,
 58,
 58,
 59,
 59,
 60,
 60,
 58,
 58,
 61,
 61,
 62,
 62,
 55,
 55,
 63,
 63,
 64,
 64,
 52,
 52,
 48,
 47,
 48,
 47,
 49,
 49,
 65,
 65,
 66,
 66,
 46,
 46,
 42,
 41,
 42,
 41,
 43,
 43,
 67,
 67,
 68,
 68,
 40,
 40,
 69,
 69,
 70,
 70,
 37,
 37,
 71,
 71,
 72,
 72,
 73,
 73,
 74,
 74,
 75,
 75,
 76,
 76,
 77,
 77,
 78,
 78,
 79,
 79,
 80,
 80,
 14,
 13,
 0,
 14,
 13,
 0
 ]
 },
 {
 "parent": 4,
 "triple": [
 0,
 2,
 6
 ],
 "multiplicity": 864,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 7,
 "8": 197,
 "12": 285,
 "16": 22
 },
 "octads": 197,
 "conflict_component_sizes": [
 8,
 8,
 39,
 39,
 39,
 64
 ],
 "conflict_degree_distribution": [
 [
 4,
 16
 ],
 [
 6,
 36
 ],
 [
 8,
 80
 ],
 [
 10,
 65
 ]
 ],
 "generator_rows": [
 "000001111000000000000",
 "110111010110000000000",
 "110111010001100000000",
 "001110110101010000000",
 "111001100101001000000",
 "111010110000000110000",
 "111010110000000001100",
 "001111010000000101010",
 "110101100000000101001"
 ],
 "id": 21,
 "certificate_type": "color",
 "color_count": 78,
 "colors_for_sorted_octads": [
 0,
 0,
 1,
 1,
 2,
 3,
 3,
 4,
 4,
 5,
 5,
 6,
 6,
 7,
 7,
 8,
 8,
 9,
 9,
 10,
 10,
 11,
 11,
 2,
 2,
 12,
 12,
 13,
 13,
 14,
 14,
 15,
 16,
 16,
 17,
 17,
 15,
 18,
 18,
 15,
 15,
 19,
 19,
 20,
 20,
 21,
 21,
 22,
 22,
 23,
 23,
 19,
 24,
 24,
 25,
 25,
 18,
 26,
 26,
 17,
 16,
 27,
 27,
 28,
 28,
 29,
 11,
 1,
 0,
 30,
 30,
 31,
 31,
 32,
 32,
 33,
 33,
 34,
 34,
 35,
 35,
 31,
 36,
 36,
 37,
 37,
 38,
 38,
 39,
 39,
 39,
 39,
 40,
 40,
 41,
 41,
 42,
 42,
 43,
 43,
 44,
 44,
 44,
 44,
 45,
 45,
 46,
 46,
 47,
 47,
 48,
 48,
 49,
 49,
 50,
 50,
 51,
 51,
 47,
 52,
 52,
 53,
 53,
 54,
 54,
 51,
 50,
 49,
 48,
 55,
 55,
 56,
 56,
 43,
 42,
 57,
 57,
 58,
 58,
 59,
 59,
 60,
 60,
 42,
 61,
 61,
 38,
 37,
 62,
 62,
 63,
 63,
 64,
 64,
 65,
 65,
 37,
 66,
 66,
 67,
 67,
 68,
 68,
 35,
 34,
 33,
 32,
 69,
 69,
 70,
 70,
 71,
 71,
 72,
 72,
 19,
 73,
 73,
 74,
 74,
 18,
 75,
 75,
 17,
 16,
 76,
 76,
 77,
 77,
 29,
 11,
 1,
 0,
 15,
 11,
 1,
 0
 ]
 },
 {
 "parent": 4,
 "triple": [
 0,
 1,
 6
 ],
 "multiplicity": 216,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 8,
 "8": 202,
 "12": 272,
 "16": 29
 },
 "octads": 202,
 "conflict_component_sizes": [
 30,
 30,
 46,
 96
 ],
 "conflict_degree_distribution": [
 [
 5,
 6
 ],
 [
 7,
 48
 ],
 [
 9,
 74
 ],
 [
 11,
 36
 ],
 [
 13,
 38
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "000001111000000000000",
 "000000000111100000000",
 "110010110101010000000",
 "110010110011001000000",
 "110001100110000110000",
 "110001100110000001100",
 "110011010000000101010",
 "000010110110000101001"
 ],
 "id": 22,
 "certificate_type": "color",
 "color_count": 77,
 "colors_for_sorted_octads": [
 0,
 1,
 2,
 3,
 3,
 4,
 4,
 5,
 5,
 6,
 6,
 7,
 7,
 8,
 8,
 9,
 9,
 10,
 10,
 1,
 2,
 1,
 2,
 11,
 11,
 12,
 12,
 13,
 13,
 14,
 14,
 15,
 15,
 16,
 16,
 17,
 17,
 18,
 18,
 19,
 19,
 20,
 20,
 21,
 21,
 22,
 22,
 23,
 23,
 24,
 24,
 25,
 25,
 26,
 26,
 27,
 27,
 28,
 28,
 29,
 29,
 30,
 30,
 2,
 1,
 0,
 0,
 0,
 31,
 31,
 32,
 32,
 33,
 33,
 34,
 34,
 35,
 35,
 36,
 36,
 37,
 37,
 38,
 38,
 39,
 39,
 40,
 40,
 41,
 41,
 42,
 42,
 43,
 43,
 44,
 44,
 45,
 45,
 46,
 46,
 47,
 47,
 48,
 48,
 49,
 49,
 50,
 50,
 51,
 51,
 52,
 52,
 53,
 53,
 54,
 54,
 55,
 55,
 56,
 56,
 57,
 57,
 58,
 58,
 56,
 56,
 55,
 55,
 54,
 54,
 53,
 53,
 59,
 59,
 60,
 60,
 61,
 61,
 49,
 49,
 48,
 48,
 47,
 47,
 46,
 46,
 62,
 62,
 63,
 63,
 42,
 42,
 41,
 41,
 40,
 40,
 39,
 39,
 64,
 64,
 65,
 65,
 36,
 36,
 35,
 35,
 34,
 34,
 33,
 33,
 66,
 66,
 67,
 67,
 68,
 68,
 69,
 69,
 70,
 70,
 71,
 71,
 72,
 72,
 73,
 73,
 74,
 74,
 75,
 75,
 76,
 76,
 2,
 1,
 29,
 23,
 21,
 2,
 1,
 19,
 13,
 11
 ]
 },
 {
 "parent": 4,
 "triple": [
 0,
 2,
 4
 ],
 "multiplicity": 32,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 9,
 "8": 207,
 "12": 259,
 "16": 36
 },
 "octads": 207,
 "conflict_component_sizes": [
 69,
 69,
 69
 ],
 "conflict_degree_distribution": [
 [
 8,
 27
 ],
 [
 10,
 144
 ],
 [
 16,
 36
 ]
 ],
 "generator_rows": [
 "000111100000000000000",
 "000110011000000000000",
 "111011010110000000000",
 "111011010001100000000",
 "111011010000011000000",
 "111000000101010110000",
 "111000000101010001100",
 "000110000101010101010",
 "111110000000000101001"
 ],
 "id": 23,
 "certificate_type": "color",
 "color_count": 53,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 6,
 9,
 9,
 9,
 9,
 6,
 6,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 9,
 13,
 13,
 13,
 13,
 8,
 7,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 3,
 1,
 0,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 29,
 29,
 29,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 33,
 33,
 33,
 33,
 34,
 34,
 34,
 34,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 44,
 44,
 44,
 45,
 45,
 45,
 45,
 46,
 46,
 46,
 46,
 47,
 47,
 47,
 47,
 10,
 48,
 48,
 48,
 48,
 49,
 49,
 49,
 49,
 9,
 50,
 50,
 50,
 50,
 8,
 7,
 51,
 51,
 51,
 51,
 52,
 52,
 52,
 3,
 1,
 0,
 6,
 6,
 6,
 3,
 1,
 0
 ]
 },
 {
 "parent": 5,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 264,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 45,
 "8": 210,
 "12": 210,
 "16": 45,
 "20": 1
 },
 "octads": 210,
 "conflict_component_sizes": [
 210
 ],
 "conflict_degree_distribution": [
 [
 39,
 210
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "011001100000000000000",
 "011000011000000000000",
 "011000000110000000000",
 "011000000001100000000",
 "011000000000011000000",
 "011000000000000110000",
 "011000000000000001100",
 "011000000000000000011"
 ],
 "id": 24,
 "certificate_type": "color",
 "color_count": 56,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 3,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 3,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 6,
 19,
 19,
 19,
 8,
 9,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 3,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 6,
 29,
 29,
 29,
 8,
 9,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 7,
 33,
 33,
 33,
 5,
 4,
 34,
 34,
 34,
 2,
 1,
 0,
 35,
 35,
 35,
 35,
 36,
 36,
 36,
 37,
 37,
 37,
 38,
 38,
 38,
 39,
 39,
 39,
 40,
 40,
 40,
 3,
 41,
 41,
 41,
 42,
 42,
 42,
 43,
 43,
 43,
 6,
 44,
 44,
 44,
 8,
 9,
 45,
 45,
 45,
 46,
 46,
 46,
 47,
 47,
 47,
 7,
 48,
 48,
 48,
 5,
 4,
 49,
 49,
 49,
 2,
 1,
 0,
 50,
 50,
 50,
 51,
 51,
 51,
 52,
 52,
 52,
 7,
 53,
 53,
 53,
 5,
 4,
 54,
 54,
 54,
 2,
 1,
 0,
 55,
 55,
 55,
 2,
 1,
 0,
 0
 ]
 },
 {
 "parent": 5,
 "triple": [
 0,
 2,
 4
 ],
 "multiplicity": 1760,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 36,
 "8": 126,
 "12": 340,
 "16": 9
 },
 "octads": 126,
 "conflict_component_sizes": [
 126
 ],
 "conflict_degree_distribution": [
 [
 25,
 126
 ]
 ],
 "generator_rows": [
 "000111100000000000000",
 "000110011000000000000",
 "000110000110000000000",
 "000110000001100000000",
 "000110000000011000000",
 "000110000000000110000",
 "000110000000000001100",
 "111011010101010101010",
 "111101010101010101001"
 ],
 "id": 25,
 "certificate_type": "color",
 "color_count": 35,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 9,
 9,
 9,
 3,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 15,
 15,
 15,
 3,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 6,
 19,
 19,
 19,
 8,
 9,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 22,
 22,
 22,
 23,
 23,
 23,
 24,
 24,
 24,
 25,
 25,
 25,
 3,
 26,
 26,
 26,
 27,
 27,
 27,
 28,
 28,
 28,
 6,
 29,
 29,
 29,
 8,
 9,
 30,
 30,
 30,
 31,
 31,
 31,
 32,
 32,
 32,
 7,
 33,
 33,
 33,
 5,
 4,
 34,
 34,
 34,
 2,
 1,
 0
 ]
 },
 {
 "parent": 6,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 24,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 5,
 "8": 250,
 "12": 250,
 "16": 5,
 "20": 1
 },
 "octads": 250,
 "conflict_component_sizes": [
 10,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 16
 ],
 "conflict_degree_distribution": [
 [
 3,
 10
 ],
 [
 5,
 240
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "000001111000000000000",
 "000000000111100000000",
 "001100110101011000000",
 "010101100110010100000",
 "011001010011010010000",
 "010101010101000001100",
 "001101100011000001010",
 "011000110110000001001"
 ],
 "id": 26,
 "certificate_type": "small_components",
 "color_count": null
 },
 {
 "parent": 6,
 "triple": [
 0,
 4,
 8
 ],
 "multiplicity": 1280,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 3,
 "8": 201,
 "12": 289,
 "16": 18
 },
 "octads": 201,
 "conflict_component_sizes": [
 7,
 7,
 7,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 20
 ],
 "conflict_degree_distribution": [
 [
 2,
 18
 ],
 [
 4,
 108
 ],
 [
 6,
 75
 ]
 ],
 "generator_rows": [
 "110110101110000000000",
 "101011011101000000000",
 "011101110100100000000",
 "101101101000011000000",
 "110011110000010100000",
 "011110011000010010000",
 "101110110000000001100",
 "011011101000000001010",
 "110101011000000001001"
 ],
 "id": 27,
 "certificate_type": "color",
 "color_count": 81,
 "colors_for_sorted_octads": [
 0,
 1,
 2,
 2,
 1,
 0,
 3,
 9,
 10,
 11,
 11,
 10,
 9,
 4,
 12,
 13,
 14,
 14,
 13,
 12,
 5,
 15,
 16,
 17,
 17,
 16,
 15,
 5,
 20,
 19,
 18,
 18,
 19,
 20,
 4,
 23,
 22,
 21,
 21,
 22,
 23,
 3,
 26,
 25,
 24,
 24,
 25,
 26,
 6,
 6,
 27,
 28,
 29,
 66,
 64,
 68,
 30,
 62,
 62,
 31,
 61,
 61,
 32,
 60,
 60,
 32,
 67,
 67,
 31,
 65,
 65,
 30,
 63,
 63,
 7,
 33,
 34,
 35,
 74,
 72,
 70,
 36,
 56,
 56,
 37,
 55,
 55,
 38,
 54,
 54,
 38,
 73,
 73,
 37,
 71,
 71,
 36,
 69,
 69,
 8,
 39,
 40,
 41,
 76,
 80,
 78,
 42,
 50,
 50,
 43,
 49,
 49,
 44,
 48,
 48,
 44,
 79,
 79,
 43,
 77,
 77,
 42,
 75,
 75,
 8,
 47,
 46,
 45,
 45,
 46,
 47,
 75,
 76,
 41,
 77,
 78,
 39,
 79,
 80,
 40,
 48,
 80,
 40,
 49,
 78,
 39,
 50,
 76,
 41,
 7,
 53,
 52,
 51,
 51,
 52,
 53,
 69,
 70,
 33,
 71,
 72,
 34,
 73,
 74,
 35,
 54,
 74,
 35,
 55,
 72,
 34,
 56,
 70,
 33,
 6,
 59,
 58,
 57,
 57,
 58,
 59,
 63,
 64,
 28,
 65,
 66,
 29,
 67,
 68,
 27,
 60,
 68,
 27,
 61,
 66,
 29,
 62,
 64,
 28,
 3,
 0
 ]
 },
 {
 "parent": 6,
 "triple": [
 0,
 1,
 4
 ],
 "multiplicity": 720,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 4,
 "8": 206,
 "12": 276,
 "16": 25
 },
 "octads": 206,
 "conflict_component_sizes": [
 26,
 26,
 26,
 32,
 32,
 32,
 32
 ],
 "conflict_degree_distribution": [
 [
 5,
 102
 ],
 [
 7,
 72
 ],
 [
 9,
 32
 ]
 ],
 "generator_rows": [
 "000001111000000000000",
 "111010110011000000000",
 "111010110100100000000",
 "110110000110011000000",
 "001011100110010100000",
 "111101100000010010000",
 "110001100110000001100",
 "110111010000000001010",
 "000110110110000001001"
 ],
 "id": 28,
 "certificate_type": "color",
 "color_count": 80,
 "colors_for_sorted_octads": [
 1,
 71,
 1,
 67,
 44,
 54,
 40,
 40,
 22,
 26,
 76,
 3,
 3,
 31,
 32,
 0,
 0,
 24,
 39,
 52,
 75,
 30,
 18,
 15,
 15,
 51,
 66,
 30,
 18,
 17,
 17,
 13,
 79,
 10,
 2,
 10,
 2,
 24,
 39,
 45,
 38,
 38,
 22,
 26,
 46,
 21,
 19,
 25,
 12,
 63,
 63,
 16,
 16,
 25,
 12,
 34,
 34,
 42,
 73,
 68,
 41,
 68,
 9,
 64,
 20,
 20,
 44,
 70,
 48,
 72,
 48,
 4,
 4,
 49,
 77,
 23,
 23,
 58,
 6,
 43,
 53,
 43,
 45,
 56,
 57,
 14,
 14,
 17,
 37,
 36,
 36,
 15,
 35,
 0,
 57,
 76,
 53,
 54,
 78,
 8,
 11,
 55,
 47,
 8,
 11,
 33,
 29,
 60,
 27,
 2,
 10,
 50,
 74,
 69,
 74,
 50,
 52,
 69,
 52,
 32,
 31,
 7,
 7,
 60,
 27,
 29,
 33,
 69,
 50,
 29,
 33,
 11,
 8,
 7,
 7,
 2,
 10,
 66,
 51,
 66,
 51,
 47,
 47,
 55,
 55,
 32,
 31,
 11,
 8,
 61,
 61,
 53,
 43,
 59,
 59,
 58,
 6,
 46,
 46,
 77,
 45,
 56,
 5,
 35,
 35,
 17,
 23,
 37,
 37,
 14,
 14,
 0,
 5,
 76,
 49,
 54,
 49,
 39,
 24,
 62,
 28,
 62,
 28,
 79,
 13,
 12,
 25,
 48,
 67,
 72,
 71,
 70,
 9,
 64,
 65,
 65,
 44,
 67,
 41,
 42,
 42,
 12,
 25,
 19,
 21,
 1
 ]
 },
 {
 "parent": 7,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 168,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 29,
 "8": 226,
 "12": 226,
 "16": 29,
 "20": 1
 },
 "octads": 226,
 "conflict_component_sizes": [
 226
 ],
 "conflict_degree_distribution": [
 [
 15,
 2
 ],
 [
 27,
 224
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "000000111100000000000",
 "000001011010000000000",
 "000001101001000000000",
 "000001110000100000000",
 "000000000000001111000",
 "000000000000010110100",
 "000000000000011010010",
 "000000000000011100001"
 ],
 "id": 29,
 "certificate_type": "color",
 "color_count": 31,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 2,
 2,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 4,
 4,
 4,
 2,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 2,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 2,
 9,
 9,
 9,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 2,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 2,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 14,
 14,
 14,
 2,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 15,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 13,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 11,
 21,
 21,
 21,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 22,
 22,
 22,
 9,
 23,
 23,
 23,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 24,
 24,
 24,
 7,
 25,
 25,
 25,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 26,
 26,
 26,
 5,
 27,
 27,
 27,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 28,
 28,
 28,
 3,
 29,
 29,
 29,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 30,
 30,
 30,
 0
 ]
 },
 {
 "parent": 7,
 "triple": [
 0,
 8,
 16
 ],
 "multiplicity": 512,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 21,
 "8": 147,
 "12": 343
 },
 "octads": 147,
 "conflict_component_sizes": [
 49,
 49,
 49
 ],
 "conflict_degree_distribution": [
 [
 12,
 147
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "101010100000000000000",
 "000000011110000000000",
 "000000011001100000000",
 "000000010101010000000",
 "000000000000001111000",
 "000000000000001100110",
 "000000000000001010101"
 ],
 "id": 30,
 "certificate_type": "color",
 "color_count": 21,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 20,
 20,
 20
 ]
 },
 {
 "parent": 7,
 "triple": [
 0,
 1,
 8
 ],
 "multiplicity": 1344,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 24,
 "8": 162,
 "12": 304,
 "16": 21
 },
 "octads": 162,
 "conflict_component_sizes": [
 22,
 140
 ],
 "conflict_degree_distribution": [
 [
 9,
 21
 ],
 [
 21,
 141
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "101101000000000000000",
 "000000111100000000000",
 "000000110011000000000",
 "000000101010100000000",
 "000000000000001111000",
 "000000000000010110100",
 "000000000000011010010",
 "000000000000011100001"
 ],
 "id": 31,
 "certificate_type": "color",
 "color_count": 21,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 1,
 1,
 1,
 2,
 2,
 2,
 3,
 3,
 3,
 4,
 4,
 4,
 5,
 5,
 5,
 6,
 6,
 6,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 18,
 18,
 18,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 16,
 16,
 16,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 14,
 14,
 14,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 12,
 12,
 12,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 10,
 10,
 10,
 9,
 9,
 9,
 9,
 9,
 9,
 9,
 8,
 8,
 8,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 0
 ]
 },
 {
 "parent": 8,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 56,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 29,
 "8": 226,
 "12": 226,
 "16": 29,
 "20": 1
 },
 "octads": 226,
 "conflict_component_sizes": [
 98,
 128
 ],
 "conflict_degree_distribution": [
 [
 23,
 70
 ],
 [
 27,
 28
 ],
 [
 29,
 128
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "000000111111110000000",
 "000001011111101000000",
 "000001101111100100000",
 "000001110111100010000",
 "000001111011100001000",
 "000001111101100000100",
 "000001111110100000010",
 "000001111111000000001"
 ],
 "id": 32,
 "certificate_type": "color",
 "color_count": 58,
 "colors_for_sorted_octads": [
 0,
 0,
 1,
 0,
 1,
 1,
 0,
 2,
 3,
 3,
 2,
 3,
 2,
 2,
 4,
 5,
 6,
 6,
 5,
 6,
 5,
 5,
 4,
 3,
 7,
 7,
 4,
 7,
 4,
 4,
 7,
 8,
 9,
 9,
 8,
 9,
 8,
 8,
 10,
 3,
 11,
 11,
 10,
 11,
 10,
 10,
 11,
 6,
 12,
 12,
 13,
 12,
 13,
 13,
 12,
 14,
 15,
 15,
 14,
 15,
 14,
 14,
 16,
 17,
 17,
 16,
 17,
 16,
 16,
 18,
 3,
 19,
 19,
 18,
 19,
 18,
 18,
 19,
 6,
 20,
 20,
 21,
 20,
 21,
 21,
 20,
 22,
 23,
 23,
 22,
 23,
 22,
 22,
 4,
 24,
 24,
 25,
 24,
 25,
 25,
 24,
 26,
 27,
 27,
 26,
 27,
 26,
 26,
 28,
 29,
 29,
 28,
 29,
 28,
 28,
 1,
 30,
 30,
 30,
 30,
 31,
 32,
 32,
 31,
 32,
 31,
 31,
 33,
 3,
 34,
 34,
 33,
 34,
 33,
 33,
 34,
 6,
 35,
 35,
 36,
 35,
 36,
 36,
 35,
 37,
 38,
 38,
 37,
 38,
 37,
 37,
 4,
 39,
 39,
 40,
 39,
 40,
 40,
 39,
 41,
 42,
 42,
 41,
 42,
 41,
 41,
 43,
 44,
 44,
 43,
 44,
 43,
 43,
 1,
 45,
 45,
 45,
 45,
 4,
 46,
 46,
 47,
 46,
 47,
 47,
 46,
 48,
 49,
 49,
 48,
 49,
 48,
 48,
 50,
 51,
 51,
 50,
 51,
 50,
 50,
 1,
 52,
 52,
 52,
 52,
 53,
 54,
 54,
 53,
 54,
 53,
 53,
 1,
 55,
 55,
 55,
 55,
 1,
 56,
 56,
 56,
 56,
 57,
 57,
 57,
 57
 ]
 },
 {
 "parent": 8,
 "triple": [
 8,
 9,
 16
 ],
 "multiplicity": 112,
 "support": 20,
 "weight_enumerator": {
 "0": 1,
 "4": 29,
 "8": 226,
 "12": 226,
 "16": 29,
 "20": 1
 },
 "octads": 226,
 "conflict_component_sizes": [
 226
 ],
 "conflict_degree_distribution": [
 [
 15,
 1
 ],
 [
 23,
 15
 ],
 [
 27,
 210
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "101101000000000000000",
 "110100100000000000000",
 "111000010000000000000",
 "000000001100000110000",
 "000000001010000101000",
 "000000001001000100100",
 "000000001000100100010",
 "000000001000010100001"
 ],
 "id": 33,
 "certificate_type": "color",
 "color_count": 31,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 9,
 9,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 0,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 14,
 14,
 14,
 14,
 14,
 14,
 14,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 0,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 0,
 0,
 0,
 21,
 21,
 21,
 21,
 21,
 21,
 21,
 22,
 22,
 22,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 23,
 23,
 23,
 24,
 24,
 24,
 24,
 24,
 24,
 24,
 25,
 25,
 25,
 25,
 25,
 25,
 25,
 26,
 26,
 26,
 26,
 26,
 26,
 26,
 19,
 27,
 27,
 27,
 27,
 27,
 27,
 27,
 28,
 28,
 28,
 28,
 28,
 28,
 28,
 17,
 15,
 13,
 29,
 29,
 29,
 29,
 29,
 29,
 29,
 30,
 30,
 30,
 30,
 30,
 30,
 30,
 11,
 9,
 7,
 5,
 3,
 1
 ]
 },
 {
 "parent": 8,
 "triple": [
 0,
 8,
 9
 ],
 "multiplicity": 896,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 22,
 "8": 152,
 "12": 330,
 "16": 7
 },
 "octads": 152,
 "conflict_component_sizes": [
 32,
 120
 ],
 "conflict_degree_distribution": [
 [
 15,
 152
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "101010100000000000000",
 "000000001111111100000",
 "000000010111111010000",
 "000000011011111001000",
 "000000011101111000100",
 "000000011110111000010",
 "000000011111011000001"
 ],
 "id": 34,
 "certificate_type": "color",
 "color_count": 24,
 "colors_for_sorted_octads": [
 0,
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 0,
 2,
 2,
 2,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 0,
 4,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 4,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 4,
 4,
 8,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 9,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 9,
 9,
 8,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 14,
 14,
 8,
 14,
 8,
 8,
 14,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 15,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 15,
 15,
 13,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 20,
 20,
 12,
 20,
 11,
 10,
 20,
 21,
 21,
 21,
 21,
 21,
 21,
 21,
 22,
 22,
 7,
 22,
 6,
 5,
 22,
 23,
 3,
 2,
 23,
 1,
 23,
 23
 ]
 },
 {
 "parent": 8,
 "triple": [
 0,
 1,
 8
 ],
 "multiplicity": 448,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 24,
 "8": 162,
 "12": 304,
 "16": 21
 },
 "octads": 162,
 "conflict_component_sizes": [
 64,
 98
 ],
 "conflict_degree_distribution": [
 [
 17,
 63
 ],
 [
 21,
 99
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "101101000000000000000",
 "000000111111110000000",
 "000000110000001100000",
 "000000101000001010000",
 "000000100100001001000",
 "000000100010001000100",
 "000000100001001000010",
 "000000100000101000001"
 ],
 "id": 35,
 "certificate_type": "color",
 "color_count": 37,
 "colors_for_sorted_octads": [
 0,
 1,
 1,
 1,
 0,
 2,
 2,
 2,
 0,
 3,
 3,
 3,
 0,
 4,
 4,
 4,
 5,
 6,
 6,
 6,
 5,
 7,
 7,
 7,
 5,
 8,
 5,
 9,
 9,
 9,
 10,
 11,
 11,
 11,
 10,
 12,
 12,
 12,
 10,
 8,
 10,
 13,
 13,
 13,
 14,
 8,
 14,
 8,
 14,
 8,
 14,
 15,
 15,
 15,
 16,
 17,
 17,
 17,
 16,
 18,
 18,
 18,
 16,
 13,
 16,
 19,
 19,
 19,
 20,
 12,
 20,
 11,
 20,
 9,
 20,
 21,
 21,
 21,
 22,
 7,
 22,
 6,
 22,
 4,
 22,
 3,
 23,
 2,
 23,
 1,
 23,
 23,
 24,
 24,
 24,
 25,
 26,
 26,
 26,
 25,
 27,
 27,
 27,
 25,
 13,
 25,
 28,
 28,
 28,
 29,
 12,
 29,
 11,
 29,
 9,
 29,
 30,
 30,
 30,
 31,
 7,
 31,
 6,
 31,
 4,
 31,
 3,
 32,
 2,
 32,
 1,
 32,
 32,
 8,
 8,
 8,
 33,
 7,
 33,
 6,
 33,
 4,
 33,
 3,
 34,
 2,
 34,
 1,
 34,
 34,
 3,
 35,
 2,
 35,
 1,
 35,
 35,
 1,
 36,
 36,
 36,
 36
 ]
 },
 {
 "parent": 8,
 "triple": [
 8,
 9,
 10
 ],
 "multiplicity": 448,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 24,
 "8": 162,
 "12": 304,
 "16": 21
 },
 "octads": 162,
 "conflict_component_sizes": [
 22,
 140
 ],
 "conflict_degree_distribution": [
 [
 5,
 5
 ],
 [
 11,
 16
 ],
 [
 21,
 141
 ]
 ],
 "generator_rows": [
 "011110000000000000000",
 "101101000000000000000",
 "110100100000000000000",
 "111000010000000000000",
 "000000001111111100000",
 "000000001100000011000",
 "000000001010000010100",
 "000000001001000010010",
 "000000001000100010001"
 ],
 "id": 36,
 "certificate_type": "color",
 "color_count": 25,
 "colors_for_sorted_octads": [
 0,
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 2,
 2,
 2,
 0,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 4,
 4,
 4,
 0,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 0,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 9,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 9,
 14,
 9,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 17,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 21,
 21,
 21,
 21,
 21,
 21,
 21,
 17,
 14,
 17,
 22,
 22,
 22,
 22,
 22,
 22,
 22,
 23,
 23,
 23,
 23,
 23,
 23,
 23,
 24,
 14,
 24,
 14,
 24,
 14,
 24
 ]
 },
 {
 "parent": 8,
 "triple": [
 0,
 8,
 16
 ],
 "multiplicity": 64,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "4": 28,
 "8": 182,
 "12": 252,
 "16": 49
 },
 "octads": 182,
 "conflict_component_sizes": [
 182
 ],
 "conflict_degree_distribution": [
 [
 21,
 147
 ],
 [
 33,
 35
 ]
 ],
 "generator_rows": [
 "111100000000000000000",
 "110011000000000000000",
 "101010100000000000000",
 "000000011000001100000",
 "000000010100001010000",
 "000000010010001001000",
 "000000010001001000100",
 "000000010000101000010",
 "000000010000011000001"
 ],
 "id": 37,
 "certificate_type": "color",
 "color_count": 21,
 "colors_for_sorted_octads": [
 0,
 0,
 0,
 0,
 0,
 0,
 0,
 1,
 1,
 1,
 1,
 1,
 1,
 1,
 2,
 2,
 2,
 2,
 2,
 2,
 2,
 3,
 3,
 3,
 3,
 3,
 3,
 3,
 4,
 4,
 4,
 4,
 4,
 4,
 4,
 5,
 5,
 5,
 5,
 5,
 5,
 5,
 6,
 7,
 7,
 7,
 7,
 7,
 7,
 7,
 8,
 8,
 8,
 8,
 8,
 8,
 8,
 9,
 9,
 9,
 9,
 9,
 9,
 9,
 6,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 6,
 6,
 6,
 11,
 11,
 11,
 11,
 11,
 11,
 11,
 12,
 12,
 12,
 12,
 12,
 12,
 12,
 13,
 13,
 13,
 13,
 13,
 13,
 13,
 10,
 14,
 14,
 14,
 14,
 14,
 14,
 14,
 9,
 8,
 7,
 15,
 15,
 15,
 15,
 15,
 15,
 15,
 5,
 4,
 3,
 2,
 1,
 0,
 16,
 16,
 16,
 16,
 16,
 16,
 16,
 17,
 17,
 17,
 17,
 17,
 17,
 17,
 18,
 18,
 18,
 18,
 18,
 18,
 18,
 10,
 19,
 19,
 19,
 19,
 19,
 19,
 19,
 9,
 8,
 7,
 20,
 20,
 20,
 20,
 20,
 20,
 20,
 5,
 4,
 3,
 2,
 1,
 0,
 6,
 6,
 6,
 6,
 6,
 6,
 6,
 5,
 4,
 3,
 2,
 1,
 0,
 2,
 1,
 0,
 0
 ]
 },
 {
 "parent": 9,
 "triple": [
 0,
 1,
 2
 ],
 "multiplicity": 2024,
 "support": 21,
 "weight_enumerator": {
 "0": 1,
 "8": 210,
 "12": 280,
 "16": 21
 },
 "octads": 210,
 "conflict_component_sizes": [
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10,
 10
 ],
 "conflict_degree_distribution": [
 [
 3,
 210
 ]
 ],
 "generator_rows": [
 "101001001111100000000",
 "111101101000010000000",
 "011110110100001000000",
 "001111011010000100000",
 "000111101101000010000",
 "101010111001000001000",
 "111100010011000000100",
 "110111000110000000010",
 "110001110101000000001"
 ],
 "id": 38,
 "certificate_type": "golay_components",
 "color_count": null
 }
]