Database - hgcwa_unique_groups ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-04-20T08:07:00.794705 - next page

Query: /api/hgcwa_unique_groups/?_offset=0

Column	Type
braid	integer
g0_gt0_list	integer[]
g0_is_gt0	boolean
gen_vectors	integer
genus	smallint
group	integer[]
topological	integer

0. group: [2, 1]
   {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [2, 1], 'topological': 1}
1. group: [2, 1]
   {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 2, 'group': [2, 1]}
2. group: [3, 1]
   {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [3, 1], 'topological': 1}
3. group: [4, 1]
   {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [4, 1], 'topological': 1}
4. group: [4, 2]
   {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 2, 'group': [4, 2], 'topological': 1}
5. group: [5, 1]
   {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 2, 'group': [5, 1], 'topological': 1}
6. group: [6, 1]
   {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 2, 'group': [6, 1], 'topological': 1}
7. group: [6, 2]
   {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 2, 'group': [6, 2], 'topological': 2}
8. group: [8, 1]
   {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 2, 'group': [8, 1], 'topological': 1}
9. group: [8, 3]
   {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [8, 3], 'topological': 1}
10. group: [8, 4]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [8, 4], 'topological': 1}
11. group: [10, 2]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 2, 'group': [10, 2], 'topological': 1}
12. group: [12, 1]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [12, 1], 'topological': 1}
13. group: [12, 4]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [12, 4], 'topological': 1}
14. group: [12, 5]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 2, 'group': [12, 5], 'topological': 1}
15. group: [16, 8]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 2, 'group': [16, 8], 'topological': 1}
16. group: [24, 3]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 2, 'group': [24, 3], 'topological': 1}
17. group: [24, 8]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 2, 'group': [24, 8], 'topological': 1}
18. group: [48, 29]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 2, 'group': [48, 29], 'topological': 1}
19. group: [2, 1]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 3, 'group': [2, 1], 'topological': 1}
20. group: [2, 1]
    {'g0_gt0_list': [1, 2], 'g0_is_gt0': True, 'gen_vectors': 2, 'genus': 3, 'group': [2, 1]}
21. group: [3, 1]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 3, 'group': [3, 1]}
22. group: [3, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [3, 1], 'topological': 1}
23. group: [4, 1]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 3, 'group': [4, 1]}
24. group: [4, 1]
    {'braid': 5, 'g0_is_gt0': False, 'gen_vectors': 5, 'genus': 3, 'group': [4, 1], 'topological': 3}
25. group: [4, 2]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 3, 'genus': 3, 'group': [4, 2]}
26. group: [4, 2]
    {'braid': 7, 'g0_is_gt0': False, 'gen_vectors': 7, 'genus': 3, 'group': [4, 2], 'topological': 2}
27. group: [6, 1]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 9, 'genus': 3, 'group': [6, 1]}
28. group: [6, 1]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 9, 'genus': 3, 'group': [6, 1], 'topological': 1}
29. group: [6, 2]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 3, 'group': [6, 2], 'topological': 2}
30. group: [7, 1]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 3, 'group': [7, 1], 'topological': 2}
31. group: [8, 1]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 3, 'group': [8, 1], 'topological': 2}
32. group: [8, 2]
    {'braid': 12, 'g0_is_gt0': False, 'gen_vectors': 12, 'genus': 3, 'group': [8, 2], 'topological': 3}
33. group: [8, 3]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 24, 'genus': 3, 'group': [8, 3]}
34. group: [8, 3]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 3, 'group': [8, 3], 'topological': 2}
35. group: [8, 4]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 24, 'genus': 3, 'group': [8, 4]}
36. group: [8, 5]
    {'braid': 28, 'g0_is_gt0': False, 'gen_vectors': 28, 'genus': 3, 'group': [8, 5], 'topological': 1}
37. group: [9, 1]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 3, 'group': [9, 1], 'topological': 1}
38. group: [12, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [12, 1], 'topological': 1}
39. group: [12, 2]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 3, 'group': [12, 2], 'topological': 2}
40. group: [12, 3]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 3, 'group': [12, 3], 'topological': 1}
41. group: [12, 4]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [12, 4], 'topological': 1}
42. group: [14, 2]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 3, 'group': [14, 2], 'topological': 1}
43. group: [16, 2]
    {'braid': 16, 'g0_is_gt0': False, 'gen_vectors': 16, 'genus': 3, 'group': [16, 2], 'topological': 1}
44. group: [16, 4]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [16, 4], 'topological': 1}
45. group: [16, 5]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 3, 'group': [16, 5], 'topological': 1}
46. group: [16, 6]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [16, 6], 'topological': 1}
47. group: [16, 11]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 3, 'group': [16, 11], 'topological': 1}
48. group: [16, 13]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [16, 13], 'topological': 1}
49. group: [21, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [21, 1], 'topological': 1}
50. group: [24, 3]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [24, 3], 'topological': 1}
51. group: [24, 5]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [24, 5], 'topological': 1}
52. group: [24, 12]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [24, 12], 'topological': 2}
53. group: [24, 13]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 3, 'group': [24, 13], 'topological': 1}
54. group: [32, 9]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 3, 'group': [32, 9], 'topological': 1}
55. group: [32, 11]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [32, 11], 'topological': 1}
56. group: [48, 3]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [48, 3], 'topological': 1}
57. group: [48, 33]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 3, 'group': [48, 33], 'topological': 1}
58. group: [48, 48]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [48, 48], 'topological': 1}
59. group: [96, 64]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [96, 64], 'topological': 1}
60. group: [168, 42]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 3, 'group': [168, 42], 'topological': 1}
61. group: [2, 1]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 4, 'group': [2, 1], 'topological': 1}
62. group: [2, 1]
    {'g0_gt0_list': [1, 2], 'g0_is_gt0': True, 'gen_vectors': 2, 'genus': 4, 'group': [2, 1]}
63. group: [3, 1]
    {'g0_gt0_list': [1, 2], 'g0_is_gt0': True, 'gen_vectors': 3, 'genus': 4, 'group': [3, 1]}
64. group: [3, 1]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 4, 'group': [3, 1], 'topological': 2}
65. group: [4, 1]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 3, 'genus': 4, 'group': [4, 1], 'topological': 2}
66. group: [4, 1]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 4, 'group': [4, 1]}
67. group: [4, 2]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 4, 'group': [4, 2], 'topological': 2}
68. group: [4, 2]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 4, 'group': [4, 2]}
69. group: [5, 1]
    {'braid': 7, 'g0_is_gt0': False, 'gen_vectors': 7, 'genus': 4, 'group': [5, 1], 'topological': 3}
70. group: [6, 1]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 23, 'genus': 4, 'group': [6, 1]}
71. group: [6, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 44, 'genus': 4, 'group': [6, 1], 'topological': 2}
72. group: [6, 2]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 1, 'genus': 4, 'group': [6, 2]}
73. group: [6, 2]
    {'braid': 9, 'g0_is_gt0': False, 'gen_vectors': 9, 'genus': 4, 'group': [6, 2], 'topological': 5}
74. group: [8, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [8, 1], 'topological': 1}
75. group: [8, 3]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 9, 'genus': 4, 'group': [8, 3], 'topological': 2}
76. group: [8, 4]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 4, 'group': [8, 4], 'topological': 1}
77. group: [9, 1]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 4, 'group': [9, 1], 'topological': 1}
78. group: [9, 2]
    {'braid': 30, 'g0_is_gt0': False, 'gen_vectors': 30, 'genus': 4, 'group': [9, 2], 'topological': 2}
79. group: [10, 1]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 4, 'group': [10, 1], 'topological': 2}
80. group: [10, 2]
    {'braid': 10, 'g0_is_gt0': False, 'gen_vectors': 10, 'genus': 4, 'group': [10, 2], 'topological': 3}
81. group: [12, 2]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 4, 'group': [12, 2], 'topological': 2}
82. group: [12, 3]
    {'g0_gt0_list': [1], 'g0_is_gt0': True, 'gen_vectors': 32, 'genus': 4, 'group': [12, 3]}
83. group: [12, 3]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 4, 'group': [12, 3], 'topological': 1}
84. group: [12, 4]
    {'braid': 3, 'g0_is_gt0': False, 'gen_vectors': 10, 'genus': 4, 'group': [12, 4], 'topological': 2}
85. group: [12, 5]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 4, 'group': [12, 5], 'topological': 2}
86. group: [15, 1]
    {'braid': 8, 'g0_is_gt0': False, 'gen_vectors': 8, 'genus': 4, 'group': [15, 1], 'topological': 1}
87. group: [16, 1]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 4, 'group': [16, 1], 'topological': 1}
88. group: [16, 7]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [16, 7], 'topological': 1}
89. group: [16, 9]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [16, 9], 'topological': 1}
90. group: [18, 2]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 6, 'genus': 4, 'group': [18, 2], 'topological': 1}
91. group: [18, 3]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 7, 'genus': 4, 'group': [18, 3], 'topological': 4}
92. group: [18, 4]
    {'braid': 6, 'g0_is_gt0': False, 'gen_vectors': 12, 'genus': 4, 'group': [18, 4], 'topological': 1}
93. group: [18, 5]
    {'braid': 24, 'g0_is_gt0': False, 'gen_vectors': 24, 'genus': 4, 'group': [18, 5], 'topological': 1}
94. group: [20, 1]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [20, 1], 'topological': 1}
95. group: [20, 3]
    {'braid': 1, 'g0_is_gt0': False, 'gen_vectors': 1, 'genus': 4, 'group': [20, 3], 'topological': 1}
96. group: [20, 4]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [20, 4], 'topological': 1}
97. group: [20, 5]
    {'braid': 12, 'g0_is_gt0': False, 'gen_vectors': 12, 'genus': 4, 'group': [20, 5], 'topological': 1}
98. group: [24, 3]
    {'braid': 2, 'g0_is_gt0': False, 'gen_vectors': 2, 'genus': 4, 'group': [24, 3], 'topological': 1}
99. group: [24, 10]
    {'braid': 4, 'g0_is_gt0': False, 'gen_vectors': 4, 'genus': 4, 'group': [24, 10], 'topological': 1}