Database - hgcwa_passports (Group actions on higher genus curves)

Formats: - HTML - YAML - JSON - 2026-06-13T20:36:53.413553 - next page

Query: /api/hgcwa_passports/?_offset=0

Column	Type
braid	integer[]
cc	jsonb
cinv	jsonb
con	text
cyclic_trigonal	boolean
dim	smallint
eqn	jsonb
full_auto	text
full_label	text
g0	smallint
gen_vectors	jsonb
genus	smallint
group	text
group_order	integer
hyp_involution	jsonb
hyperelliptic	boolean
jacobian_decomp	jsonb
label	text
ndim	smallint
passport_label	text
r	smallint
realcc	integer[]
signH	text
signature	text
topological	integer[]
total_label	text

0. total_label: 2.10-2.0.2-5-10.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,10]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{5}+1'], 'g0': 0, 'gen_vectors': [[6, 7, 8, 9, 10, 1, 2, 3, 4, 5], [2, 3, 4, 5, 1, 7, 8, 9, 10, 6], [10, 6, 7, 8, 9, 5, 1, 2, 3, 4]], 'genus': 2, 'group': '[10,2]', 'group_order': 10, 'hyp_involution': [6, 7, 8, 9, 10, 1, 2, 3, 4, 5], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.10-2.0.2-5-10', 'ndim': 0, 'passport_label': '2.10-2.0.2-5-10.1', 'r': 3, 'signature': '[0,2,5,10]', 'topological': [1, 1], 'total_label': '2.10-2.0.2-5-10.1.1'}
1. total_label: 2.24-3.0.3-3-4.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,5]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6], [24, 23, 19, 20, 17, 18, 22, 21, 8, 7, 3, 4, 1, 2, 6, 5, 16, 15, 11, 12, 9, 10, 14, 13], [7, 8, 5, 6, 4, 3, 2, 1, 15, 16, 13, 14, 12, 11, 10, 9, 23, 24, 21, 22, 20, 19, 18, 17]], 'genus': 2, 'group': '[24,3]', 'group_order': 24, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.24-3.0.3-3-4', 'ndim': 0, 'passport_label': '2.24-3.0.3-3-4.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,3,3,4]', 'topological': [1, 1], 'total_label': '2.24-3.0.3-3-4.1.1'}
2. total_label: 2.24-8.0.2-4-6.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[4,6,8]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{6}-1'], 'g0': 0, 'gen_vectors': [[13, 15, 14, 16, 18, 17, 22, 24, 23, 19, 21, 20, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8], [21, 20, 19, 24, 23, 22, 18, 17, 16, 15, 14, 13, 9, 8, 7, 12, 11, 10, 6, 5, 4, 3, 2, 1], [8, 9, 7, 11, 12, 10, 2, 3, 1, 5, 6, 4, 20, 21, 19, 23, 24, 22, 14, 15, 13, 17, 18, 16]], 'genus': 2, 'group': '[24,8]', 'group_order': 24, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 8]], 'label': '2.24-8.0.2-4-6', 'ndim': 0, 'passport_label': '2.24-8.0.2-4-6.1', 'r': 3, 'signature': '[0,2,4,6]', 'topological': [1, 1], 'total_label': '2.24-8.0.2-4-6.1.1'}
3. total_label: 2.5-1.0.5-5-5.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,4]', 'dim': 0, 'eqn': [], 'full_auto': '[10,2]', 'full_label': '2.10-2.0.2-5-10', 'g0': 0, 'gen_vectors': [[2, 3, 4, 5, 1], [2, 3, 4, 5, 1], [4, 5, 1, 2, 3]], 'genus': 2, 'group': '[5,1]', 'group_order': 5, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.5-1.0.5-5-5', 'ndim': 0, 'passport_label': '2.5-1.0.5-5-5.1', 'r': 3, 'signH': '[0,2,5,10]', 'signature': '[0,5,5,5]', 'topological': [1, 1], 'total_label': '2.5-1.0.5-5-5.1.1'}
4. total_label: 2.48-29.0.2-3-8.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,7]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x(x^4-1)'], 'g0': 0, 'gen_vectors': [[25, 26, 29, 30, 27, 28, 32, 31, 41, 42, 45, 46, 43, 44, 48, 47, 33, 34, 37, 38, 35, 36, 40, 39, 1, 2, 5, 6, 3, 4, 8, 7, 17, 18, 21, 22, 19, 20, 24, 23, 9, 10, 13, 14, 11, 12, 16, 15], [13, 14, 11, 12, 15, 16, 9, 10, 21, 22, 19, 20, 23, 24, 17, 18, 5, 6, 3, 4, 7, 8, 1, 2, 37, 38, 35, 36, 39, 40, 33, 34, 45, 46, 43, 44, 47, 48, 41, 42, 29, 30, 27, 28, 31, 32, 25, 26], [40, 39, 37, 38, 33, 34, 35, 36, 32, 31, 29, 30, 25, 26, 27, 28, 48, 47, 45, 46, 41, 42, 43, 44, 16, 15, 13, 14, 9, 10, 11, 12, 8, 7, 5, 6, 1, 2, 3, 4, 24, 23, 21, 22, 17, 18, 19, 20]], 'genus': 2, 'group': '[48,29]', 'group_order': 48, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 30, 29, 32, 31, 34, 33, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 4]], 'label': '2.48-29.0.2-3-8', 'ndim': 0, 'passport_label': '2.48-29.0.2-3-8.1', 'r': 3, 'signature': '[0,2,3,8]', 'topological': [1, 1], 'total_label': '2.48-29.0.2-3-8.1.1'}
5. total_label: 2.6-2.0.3-6-6.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,5,5]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[2, 3, 1, 5, 6, 4], [5, 6, 4, 2, 3, 1], [5, 6, 4, 2, 3, 1]], 'genus': 2, 'group': '[6,2]', 'group_order': 6, 'jacobian_decomp': [[1, 1, 3], [1, 1, 4]], 'label': '2.6-2.0.3-6-6', 'ndim': 0, 'passport_label': '2.6-2.0.3-6-6.1', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,3,6,6]', 'topological': [1, 1], 'total_label': '2.6-2.0.3-6-6.1.1'}
6. total_label: 2.8-4.0.4-4-4.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,5]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[3, 4, 2, 1, 7, 8, 6, 5], [5, 6, 8, 7, 2, 1, 3, 4], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 2, 'group': '[8,4]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 5]], 'label': '2.8-4.0.4-4-4', 'ndim': 0, 'passport_label': '2.8-4.0.4-4-4.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '2.8-4.0.4-4-4.1.1'}
7. total_label: 2.8-1.0.2-8-8.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,5,6]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [5, 6, 7, 8, 3, 4, 2, 1], [7, 8, 6, 5, 2, 1, 4, 3]], 'genus': 2, 'group': '[8,1]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.8-1.0.2-8-8', 'ndim': 0, 'passport_label': '2.8-1.0.2-8-8.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '2.8-1.0.2-8-8.1.1'}
8. total_label: 2.12-1.0.3-4-4.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,5]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], [7, 9, 8, 10, 12, 11, 4, 6, 5, 1, 3, 2], [12, 11, 10, 9, 8, 7, 3, 2, 1, 6, 5, 4]], 'genus': 2, 'group': '[12,1]', 'group_order': 12, 'jacobian_decomp': [[2, 1, 5]], 'label': '2.12-1.0.3-4-4', 'ndim': 0, 'passport_label': '2.12-1.0.3-4-4.1', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,3,4,4]', 'topological': [1, 1], 'total_label': '2.12-1.0.3-4-4.1.1'}
9. total_label: 2.12-5.0.2-6-6.1.1
   {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,9,12]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [8, 9, 7, 11, 12, 10, 2, 3, 1, 5, 6, 4], [12, 10, 11, 9, 7, 8, 6, 4, 5, 3, 1, 2]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.1', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.1.1'}
10. total_label: 2.16-8.0.2-4-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,5,6]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 8, 7, 1, 2, 4, 3, 13, 14, 16, 15, 9, 10, 12, 11], [10, 9, 11, 12, 16, 15, 14, 13, 1, 2, 4, 3, 7, 8, 5, 6], [13, 14, 15, 16, 12, 11, 9, 10, 6, 5, 8, 7, 3, 4, 2, 1]], 'genus': 2, 'group': '[16,8]', 'group_order': 16, 'jacobian_decomp': [[1, 2, 6]], 'label': '2.16-8.0.2-4-8', 'ndim': 0, 'passport_label': '2.16-8.0.2-4-8.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '2.16-8.0.2-4-8.1.1'}
11. total_label: 2.24-8.0.2-4-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[4,6,9]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{6}-1'], 'g0': 0, 'gen_vectors': [[13, 15, 14, 16, 18, 17, 22, 24, 23, 19, 21, 20, 1, 3, 2, 4, 6, 5, 10, 12, 11, 7, 9, 8], [20, 19, 21, 23, 22, 24, 17, 16, 18, 14, 13, 15, 8, 7, 9, 11, 10, 12, 5, 4, 6, 2, 1, 3], [9, 7, 8, 12, 10, 11, 3, 1, 2, 6, 4, 5, 21, 19, 20, 24, 22, 23, 15, 13, 14, 18, 16, 17]], 'genus': 2, 'group': '[24,8]', 'group_order': 24, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 8]], 'label': '2.24-8.0.2-4-6', 'ndim': 0, 'passport_label': '2.24-8.0.2-4-6.2', 'r': 3, 'signature': '[0,2,4,6]', 'topological': [1, 1], 'total_label': '2.24-8.0.2-4-6.2.1'}
12. total_label: 2.6-2.0.3-6-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[4,6,6]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[3, 1, 2, 6, 4, 5], [6, 4, 5, 3, 1, 2], [6, 4, 5, 3, 1, 2]], 'genus': 2, 'group': '[6,2]', 'group_order': 6, 'jacobian_decomp': [[1, 1, 3], [1, 1, 4]], 'label': '2.6-2.0.3-6-6', 'ndim': 0, 'passport_label': '2.6-2.0.3-6-6.2', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,3,6,6]', 'topological': [1, 1], 'total_label': '2.6-2.0.3-6-6.2.1'}
13. total_label: 2.16-8.0.2-4-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,5,7]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 8, 7, 1, 2, 4, 3, 13, 14, 16, 15, 9, 10, 12, 11], [9, 10, 12, 11, 15, 16, 13, 14, 2, 1, 3, 4, 8, 7, 6, 5], [14, 13, 16, 15, 11, 12, 10, 9, 5, 6, 7, 8, 4, 3, 1, 2]], 'genus': 2, 'group': '[16,8]', 'group_order': 16, 'jacobian_decomp': [[1, 2, 6]], 'label': '2.16-8.0.2-4-8', 'ndim': 0, 'passport_label': '2.16-8.0.2-4-8.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '2.16-8.0.2-4-8.2.1'}
14. total_label: 2.10-2.0.2-5-10.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,4,8]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{5}+1'], 'g0': 0, 'gen_vectors': [[6, 7, 8, 9, 10, 1, 2, 3, 4, 5], [3, 4, 5, 1, 2, 8, 9, 10, 6, 7], [9, 10, 6, 7, 8, 4, 5, 1, 2, 3]], 'genus': 2, 'group': '[10,2]', 'group_order': 10, 'hyp_involution': [6, 7, 8, 9, 10, 1, 2, 3, 4, 5], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.10-2.0.2-5-10', 'ndim': 0, 'passport_label': '2.10-2.0.2-5-10.2', 'r': 3, 'signature': '[0,2,5,10]', 'topological': [1, 1], 'total_label': '2.10-2.0.2-5-10.2.1'}
15. total_label: 2.48-29.0.2-3-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,4,8]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x(x^4-1)'], 'g0': 0, 'gen_vectors': [[25, 26, 29, 30, 27, 28, 32, 31, 41, 42, 45, 46, 43, 44, 48, 47, 33, 34, 37, 38, 35, 36, 40, 39, 1, 2, 5, 6, 3, 4, 8, 7, 17, 18, 21, 22, 19, 20, 24, 23, 9, 10, 13, 14, 11, 12, 16, 15], [16, 15, 9, 10, 13, 14, 12, 11, 24, 23, 17, 18, 21, 22, 20, 19, 8, 7, 1, 2, 5, 6, 4, 3, 40, 39, 33, 34, 37, 38, 36, 35, 48, 47, 41, 42, 45, 46, 44, 43, 32, 31, 25, 26, 29, 30, 28, 27], [37, 38, 39, 40, 35, 36, 34, 33, 29, 30, 31, 32, 27, 28, 26, 25, 45, 46, 47, 48, 43, 44, 42, 41, 13, 14, 15, 16, 11, 12, 10, 9, 5, 6, 7, 8, 3, 4, 2, 1, 21, 22, 23, 24, 19, 20, 18, 17]], 'genus': 2, 'group': '[48,29]', 'group_order': 48, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 30, 29, 32, 31, 34, 33, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 4]], 'label': '2.48-29.0.2-3-8', 'ndim': 0, 'passport_label': '2.48-29.0.2-3-8.2', 'r': 3, 'signature': '[0,2,3,8]', 'topological': [1, 1], 'total_label': '2.48-29.0.2-3-8.2.1'}
16. total_label: 2.5-1.0.5-5-5.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,3,3]', 'dim': 0, 'eqn': [], 'full_auto': '[10,2]', 'full_label': '2.10-2.0.2-5-10', 'g0': 0, 'gen_vectors': [[2, 3, 4, 5, 1], [3, 4, 5, 1, 2], [3, 4, 5, 1, 2]], 'genus': 2, 'group': '[5,1]', 'group_order': 5, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.5-1.0.5-5-5', 'ndim': 0, 'passport_label': '2.5-1.0.5-5-5.2', 'r': 3, 'signH': '[0,2,5,10]', 'signature': '[0,5,5,5]', 'topological': [1, 1], 'total_label': '2.5-1.0.5-5-5.2.1'}
17. total_label: 2.8-1.0.2-8-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,7,8]', 'dim': 0, 'eqn': [], 'full_auto': '[48,29]', 'full_label': '2.48-29.0.2-3-8', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [6, 5, 8, 7, 4, 3, 1, 2], [8, 7, 5, 6, 1, 2, 3, 4]], 'genus': 2, 'group': '[8,1]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.8-1.0.2-8-8', 'ndim': 0, 'passport_label': '2.8-1.0.2-8-8.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '2.8-1.0.2-8-8.2.1'}
18. total_label: 2.12-5.0.2-6-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,10,11]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [9, 7, 8, 12, 10, 11, 3, 1, 2, 6, 4, 5], [11, 12, 10, 8, 9, 7, 5, 6, 4, 2, 3, 1]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.2', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.2.1'}
19. total_label: 2.10-2.0.2-5-10.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,5,9]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{5}+1'], 'g0': 0, 'gen_vectors': [[6, 7, 8, 9, 10, 1, 2, 3, 4, 5], [4, 5, 1, 2, 3, 9, 10, 6, 7, 8], [8, 9, 10, 6, 7, 3, 4, 5, 1, 2]], 'genus': 2, 'group': '[10,2]', 'group_order': 10, 'hyp_involution': [6, 7, 8, 9, 10, 1, 2, 3, 4, 5], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.10-2.0.2-5-10', 'ndim': 0, 'passport_label': '2.10-2.0.2-5-10.3', 'r': 3, 'signature': '[0,2,5,10]', 'topological': [1, 1], 'total_label': '2.10-2.0.2-5-10.3.1'}
20. total_label: 2.12-5.0.2-6-6.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,7,12]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7], [12, 10, 11, 9, 7, 8, 6, 4, 5, 3, 1, 2]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.3', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.3.1'}
21. total_label: 2.5-1.0.5-5-5.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,5,5]', 'dim': 0, 'eqn': [], 'full_auto': '[10,2]', 'full_label': '2.10-2.0.2-5-10', 'g0': 0, 'gen_vectors': [[3, 4, 5, 1, 2], [5, 1, 2, 3, 4], [5, 1, 2, 3, 4]], 'genus': 2, 'group': '[5,1]', 'group_order': 5, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.5-1.0.5-5-5', 'ndim': 0, 'passport_label': '2.5-1.0.5-5-5.3', 'r': 3, 'signH': '[0,2,5,10]', 'signature': '[0,5,5,5]', 'topological': [1, 1], 'total_label': '2.5-1.0.5-5-5.3.1'}
22. total_label: 2.10-2.0.2-5-10.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[2,6,7]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{5}+1'], 'g0': 0, 'gen_vectors': [[6, 7, 8, 9, 10, 1, 2, 3, 4, 5], [5, 1, 2, 3, 4, 10, 6, 7, 8, 9], [7, 8, 9, 10, 6, 2, 3, 4, 5, 1]], 'genus': 2, 'group': '[10,2]', 'group_order': 10, 'hyp_involution': [6, 7, 8, 9, 10, 1, 2, 3, 4, 5], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.10-2.0.2-5-10', 'ndim': 0, 'passport_label': '2.10-2.0.2-5-10.4', 'r': 3, 'signature': '[0,2,5,10]', 'topological': [1, 1], 'total_label': '2.10-2.0.2-5-10.4.1'}
23. total_label: 2.5-1.0.5-5-5.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[4,4,5]', 'dim': 0, 'eqn': [], 'full_auto': '[10,2]', 'full_label': '2.10-2.0.2-5-10', 'g0': 0, 'gen_vectors': [[4, 5, 1, 2, 3], [4, 5, 1, 2, 3], [5, 1, 2, 3, 4]], 'genus': 2, 'group': '[5,1]', 'group_order': 5, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.5-1.0.5-5-5', 'ndim': 0, 'passport_label': '2.5-1.0.5-5-5.4', 'r': 3, 'signH': '[0,2,5,10]', 'signature': '[0,5,5,5]', 'topological': [1, 1], 'total_label': '2.5-1.0.5-5-5.4.1'}
24. total_label: 2.12-5.0.2-6-6.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[3,8,11]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8], [11, 12, 10, 8, 9, 7, 5, 6, 4, 2, 3, 1]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.4', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.4.1'}
25. total_label: 2.12-5.0.2-6-6.5.1
    {'braid': [5, 1], 'cc': [5, 1], 'con': '[4,7,10]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7], [9, 7, 8, 12, 10, 11, 3, 1, 2, 6, 4, 5]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.5', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.5.1'}
26. total_label: 2.12-5.0.2-6-6.6.1
    {'braid': [6, 1], 'cc': [6, 1], 'con': '[4,8,9]', 'dim': 0, 'eqn': [], 'full_auto': '[24,8]', 'full_label': '2.24-8.0.2-4-6', 'g0': 0, 'gen_vectors': [[10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8], [8, 9, 7, 11, 12, 10, 2, 3, 1, 5, 6, 4]], 'genus': 2, 'group': '[12,5]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 6], [1, 1, 8]], 'label': '2.12-5.0.2-6-6', 'ndim': 0, 'passport_label': '2.12-5.0.2-6-6.6', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '2.12-5.0.2-6-6.6.1'}
27. total_label: 2.8-3.0.2-2-2-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,4,5]', 'cyclic_trigonal': False, 'dim': 1, 'eqn': ['y^2=x(x^{4}+a_{1}x^{2}+1)', 'y^2=(x^{2}-1)(x^{4}+a_{1}x^{2}+1)'], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [5, 6, 8, 7, 1, 2, 4, 3], [8, 7, 5, 6, 4, 3, 1, 2]], 'genus': 2, 'group': '[8,3]', 'group_order': 8, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 5]], 'label': '2.8-3.0.2-2-2-4', 'ndim': 1, 'passport_label': '2.8-3.0.2-2-2-4.1', 'r': 4, 'signature': '[0,2,2,2,4]', 'topological': [1, 1], 'total_label': '2.8-3.0.2-2-2-4.1.1'}
28. total_label: 2.12-4.0.2-2-2-3.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,4,5]', 'cyclic_trigonal': False, 'dim': 1, 'eqn': ['y^2=x^{6}+a_1x^{3}+1'], 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10]], 'genus': 2, 'group': '[12,4]', 'group_order': 12, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], 'hyperelliptic': True, 'jacobian_decomp': [[1, 2, 6]], 'label': '2.12-4.0.2-2-2-3', 'ndim': 1, 'passport_label': '2.12-4.0.2-2-2-3.1', 'r': 4, 'signature': '[0,2,2,2,3]', 'topological': [1, 1], 'total_label': '2.12-4.0.2-2-2-3.1.1'}
29. total_label: 2.4-1.0.2-2-4-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,3,4]', 'dim': 1, 'eqn': [], 'full_auto': '[8,3]', 'full_label': '2.8-3.0.2-2-2-4', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 2, 1], [4, 3, 1, 2]], 'genus': 2, 'group': '[4,1]', 'group_order': 4, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.4-1.0.2-2-4-4', 'ndim': 1, 'passport_label': '2.4-1.0.2-2-4-4.1', 'r': 4, 'signH': '[0,2,2,2,4]', 'signature': '[0,2,2,4,4]', 'topological': [1, 1], 'total_label': '2.4-1.0.2-2-4-4.1.1'}
30. total_label: 2.6-1.0.2-2-3-3.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,3,3]', 'dim': 1, 'eqn': [], 'full_auto': '[12,4]', 'full_label': '2.12-4.0.2-2-2-3', 'g0': 0, 'gen_vectors': [[4, 6, 5, 1, 3, 2], [4, 6, 5, 1, 3, 2], [2, 3, 1, 5, 6, 4], [3, 1, 2, 6, 4, 5]], 'genus': 2, 'group': '[6,1]', 'group_order': 6, 'jacobian_decomp': [[1, 2, 3]], 'label': '2.6-1.0.2-2-3-3', 'ndim': 1, 'passport_label': '2.6-1.0.2-2-3-3.1', 'r': 4, 'signH': '[0,2,2,2,3]', 'signature': '[0,2,2,3,3]', 'topological': [1, 1], 'total_label': '2.6-1.0.2-2-3-3.1.1'}
31. total_label: 2.6-2.0.2-2-3-3.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,3,4]', 'dim': 1, 'eqn': [], 'full_auto': '[12,4]', 'full_label': '2.12-4.0.2-2-2-3', 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3], [4, 5, 6, 1, 2, 3], [2, 3, 1, 5, 6, 4], [3, 1, 2, 6, 4, 5]], 'genus': 2, 'group': '[6,2]', 'group_order': 6, 'jacobian_decomp': [[2, 1, 4]], 'label': '2.6-2.0.2-2-3-3', 'ndim': 1, 'passport_label': '2.6-2.0.2-2-3-3.1', 'r': 4, 'signH': '[0,2,2,2,3]', 'signature': '[0,2,2,3,3]', 'topological': [1, 1], 'total_label': '2.6-2.0.2-2-3-3.1.1'}
32. total_label: 2.3-1.0.3-3-3-3.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,3,3]', 'dim': 1, 'eqn': [], 'full_auto': '[12,4]', 'full_label': '2.12-4.0.2-2-2-3', 'g0': 0, 'gen_vectors': [[2, 3, 1], [2, 3, 1], [3, 1, 2], [3, 1, 2]], 'genus': 2, 'group': '[3,1]', 'group_order': 3, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.3-1.0.3-3-3-3', 'ndim': 1, 'passport_label': '2.3-1.0.3-3-3-3.1', 'r': 4, 'signH': '[0,2,2,2,3]', 'signature': '[0,3,3,3,3]', 'topological': [1, 1], 'total_label': '2.3-1.0.3-3-3-3.1.1'}
33. total_label: 2.6-1.0.2-2-3-3.1.2
    {'braid': [1, 1], 'cc': [1, 2], 'con': '[2,2,3,3]', 'dim': 1, 'eqn': [], 'full_auto': '[12,4]', 'full_label': '2.12-4.0.2-2-2-3', 'g0': 0, 'gen_vectors': [[4, 6, 5, 1, 3, 2], [6, 5, 4, 3, 2, 1], [3, 1, 2, 6, 4, 5], [3, 1, 2, 6, 4, 5]], 'genus': 2, 'group': '[6,1]', 'group_order': 6, 'jacobian_decomp': [[1, 2, 3]], 'label': '2.6-1.0.2-2-3-3', 'ndim': 1, 'passport_label': '2.6-1.0.2-2-3-3.1', 'r': 4, 'signH': '[0,2,2,2,3]', 'signature': '[0,2,2,3,3]', 'topological': [1, 1], 'total_label': '2.6-1.0.2-2-3-3.1.2'}
34. total_label: 2.2-1.1.2-2.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2, 2]', 'dim': 2, 'full_auto': '[4,2]', 'full_label': '2.4-2.0.2-2-2-2-2', 'g0': 1, 'gen_vectors': [[2, 1], [1, 2], [2, 1], [2, 1]], 'genus': 2, 'group': '[2,1]', 'group_order': 2, 'jacobian_decomp': [[1, 1, 1], [1, 1, 2]], 'label': '2.2-1.1.2-2', 'passport_label': '2.2-1.1.2-2.1', 'r': 2, 'signH': '[0,2,2,2,2,2]', 'signature': '[1,2,2]', 'topological': [1, 1], 'total_label': '2.2-1.1.2-2.1.1'}
35. total_label: 2.4-2.0.2-2-2-2-2.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,2,3,4]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [4, 3, 2, 1]], 'genus': 2, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [2, 1, 4, 3], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4]], 'label': '2.4-2.0.2-2-2-2-2', 'ndim': 2, 'passport_label': '2.4-2.0.2-2-2-2-2.1', 'r': 5, 'signature': '[0,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '2.4-2.0.2-2-2-2-2.1.1'}
36. total_label: 2.4-2.0.2-2-2-2-2.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,3,3,3,4]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1]], 'genus': 2, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [3, 4, 1, 2], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 3], [1, 1, 4]], 'label': '2.4-2.0.2-2-2-2-2', 'ndim': 2, 'passport_label': '2.4-2.0.2-2-2-2-2.2', 'r': 5, 'signature': '[0,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '2.4-2.0.2-2-2-2-2.2.1'}
37. total_label: 2.4-2.0.2-2-2-2-2.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,3,4,4,4]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 2, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [4, 3, 2, 1], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [1, 1, 3]], 'label': '2.4-2.0.2-2-2-2-2', 'ndim': 2, 'passport_label': '2.4-2.0.2-2-2-2-2.3', 'r': 5, 'signature': '[0,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '2.4-2.0.2-2-2-2-2.3.1'}
38. total_label: 2.2-1.0.2-2-2-2-2-2.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,2,2,2,2]', 'cyclic_trigonal': False, 'dim': 3, 'eqn': ['y^2=x(x^{4}+a_{1}x^{3}+a_{2}x^{2}+a_{3}x + 1)'], 'g0': 0, 'gen_vectors': [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1], [2, 1]], 'genus': 2, 'group': '[2,1]', 'group_order': 2, 'hyp_involution': [2, 1], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 2]], 'label': '2.2-1.0.2-2-2-2-2-2', 'ndim': 3, 'passport_label': '2.2-1.0.2-2-2-2-2-2.1', 'r': 6, 'signature': '[0,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '2.2-1.0.2-2-2-2-2-2.1.1'}
39. total_label: 3.48-33.0.2-3-12.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'cinv': [9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6, 33, 34, 39, 40, 35, 36, 37, 38, 41, 42, 47, 48, 43, 44, 45, 46, 25, 26, 31, 32, 27, 28, 29, 30], 'con': '[3,4,12]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^4 = x^3-1'], 'g0': 0, 'gen_vectors': [[27, 28, 26, 25, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 47, 48, 46, 45, 4, 3, 1, 2, 8, 7, 5, 6, 12, 11, 9, 10, 16, 15, 13, 14, 20, 19, 17, 18, 24, 23, 21, 22], [15, 16, 10, 9, 13, 14, 12, 11, 23, 24, 18, 17, 21, 22, 20, 19, 7, 8, 2, 1, 5, 6, 4, 3, 39, 40, 34, 33, 37, 38, 36, 35, 47, 48, 42, 41, 45, 46, 44, 43, 31, 32, 26, 25, 29, 30, 28, 27], [41, 42, 45, 46, 47, 48, 43, 44, 25, 26, 29, 30, 31, 32, 27, 28, 33, 34, 37, 38, 39, 40, 35, 36, 18, 17, 22, 21, 24, 23, 20, 19, 2, 1, 6, 5, 8, 7, 4, 3, 10, 9, 14, 13, 16, 15, 12, 11]], 'genus': 3, 'group': '[48,33]', 'group_order': 48, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [1, 2, 7]], 'label': '3.48-33.0.2-3-12', 'ndim': 0, 'passport_label': '3.48-33.0.2-3-12.1', 'r': 3, 'signature': '[0,2,3,12]', 'topological': [1, 1], 'total_label': '3.48-33.0.2-3-12.1.1'}
40. total_label: 3.168-42.0.2-3-7.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,5]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['x^3y+y^3z+z^3x=0'], 'g0': 0, 'gen_vectors': [[5, 9, 45, 88, 1, 77, 104, 12, 2, 17, 32, 8, 154, 125, 19, 23, 10, 39, 15, 91, 160, 26, 16, 66, 151, 22, 84, 139, 33, 114, 38, 11, 29, 147, 48, 40, 163, 31, 18, 36, 98, 69, 47, 51, 3, 130, 43, 35, 146, 54, 44, 59, 74, 50, 112, 167, 61, 65, 52, 81, 57, 133, 118, 68, 58, 24, 109, 64, 42, 97, 75, 156, 80, 53, 71, 105, 6, 82, 121, 73, 60, 78, 140, 27, 89, 93, 129, 4, 85, 161, 20, 96, 86, 101, 116, 92, 70, 41, 103, 107, 94, 123, 99, 7, 76, 110, 100, 150, 67, 106, 168, 55, 117, 30, 122, 95, 113, 63, 132, 124, 79, 115, 102, 120, 14, 153, 131, 135, 87, 46, 127, 119, 62, 138, 128, 143, 158, 134, 28, 83, 145, 149, 136, 165, 141, 49, 34, 152, 142, 108, 25, 148, 126, 13, 159, 72, 164, 137, 155, 21, 90, 166, 37, 157, 144, 162, 56, 111], [2, 3, 1, 5, 6, 4, 77, 9, 10, 8, 12, 13, 11, 154, 16, 17, 15, 19, 20, 18, 91, 23, 24, 22, 26, 27, 25, 84, 30, 31, 29, 33, 34, 32, 147, 37, 38, 36, 40, 41, 39, 98, 44, 45, 43, 47, 48, 46, 35, 51, 52, 50, 54, 55, 53, 112, 58, 59, 57, 61, 62, 60, 133, 65, 66, 64, 68, 69, 67, 42, 72, 73, 71, 75, 76, 74, 105, 79, 80, 78, 82, 83, 81, 140, 86, 87, 85, 89, 90, 88, 161, 93, 94, 92, 96, 97, 95, 70, 100, 101, 99, 103, 104, 102, 7, 107, 108, 106, 110, 111, 109, 168, 114, 115, 113, 117, 118, 116, 63, 121, 122, 120, 124, 125, 123, 14, 128, 129, 127, 131, 132, 130, 119, 135, 136, 134, 138, 139, 137, 28, 142, 143, 141, 145, 146, 144, 49, 149, 150, 148, 152, 153, 151, 126, 156, 157, 155, 159, 160, 158, 21, 163, 164, 162, 166, 167, 165, 56], [45, 5, 9, 77, 88, 1, 76, 17, 12, 2, 154, 32, 8, 153, 10, 19, 23, 91, 39, 15, 90, 66, 26, 16, 84, 151, 22, 83, 38, 33, 114, 147, 11, 29, 146, 31, 40, 163, 98, 18, 36, 97, 3, 47, 51, 35, 130, 43, 34, 59, 54, 44, 112, 74, 50, 111, 52, 61, 65, 133, 81, 57, 132, 24, 68, 58, 42, 109, 64, 41, 80, 75, 156, 105, 53, 71, 104, 73, 82, 121, 140, 60, 78, 139, 129, 89, 93, 161, 4, 85, 160, 101, 96, 86, 70, 116, 92, 69, 94, 103, 107, 7, 123, 99, 6, 150, 110, 100, 168, 67, 106, 167, 122, 117, 30, 63, 95, 113, 62, 115, 124, 79, 14, 102, 120, 13, 87, 131, 135, 119, 46, 127, 118, 143, 138, 128, 28, 158, 134, 27, 136, 145, 149, 49, 165, 141, 48, 108, 152, 142, 126, 25, 148, 125, 164, 159, 72, 21, 137, 155, 20, 157, 166, 37, 56, 144, 162, 55]], 'genus': 3, 'group': '[168,42]', 'group_order': 168, 'hyperelliptic': False, 'jacobian_decomp': [[1, 3, 2]], 'label': '3.168-42.0.2-3-7', 'ndim': 0, 'passport_label': '3.168-42.0.2-3-7.1', 'r': 3, 'signature': '[0,2,3,7]', 'topological': [1, 1], 'total_label': '3.168-42.0.2-3-7.1.1'}
41. total_label: 3.8-1.0.4-8-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,5,7]', 'dim': 0, 'eqn': [], 'full_auto': '[32,11]', 'full_label': '3.32-11.0.2-4-8', 'g0': 0, 'gen_vectors': [[3, 4, 2, 1, 7, 8, 6, 5], [5, 6, 7, 8, 3, 4, 2, 1], [6, 5, 8, 7, 4, 3, 1, 2]], 'genus': 3, 'group': '[8,1]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3]], 'label': '3.8-1.0.4-8-8', 'ndim': 0, 'passport_label': '3.8-1.0.4-8-8.1', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,8,8]', 'topological': [1, 1], 'total_label': '3.8-1.0.4-8-8.1.1'}
42. total_label: 3.16-4.0.4-4-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[5,7,10]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 3, 4, 1, 2, 13, 14, 15, 16, 11, 12, 9, 10], [9, 10, 11, 12, 15, 16, 13, 14, 2, 1, 4, 3, 8, 7, 6, 5], [16, 15, 14, 13, 12, 11, 10, 9, 7, 8, 5, 6, 3, 4, 1, 2]], 'genus': 3, 'group': '[16,4]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [2, 1, 9]], 'label': '3.16-4.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-4.0.4-4-4.1', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-4.0.4-4-4.1.1'}
43. total_label: 3.48-3.0.3-3-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,5]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[17, 20, 18, 19, 30, 31, 29, 32, 21, 24, 22, 23, 28, 25, 27, 26, 33, 36, 34, 35, 46, 47, 45, 48, 37, 40, 38, 39, 44, 41, 43, 42, 1, 4, 2, 3, 14, 15, 13, 16, 5, 8, 6, 7, 12, 9, 11, 10], [45, 47, 48, 46, 40, 38, 37, 39, 33, 35, 36, 34, 41, 43, 44, 42, 13, 15, 16, 14, 8, 6, 5, 7, 1, 3, 4, 2, 9, 11, 12, 10, 29, 31, 32, 30, 24, 22, 21, 23, 17, 19, 20, 18, 25, 27, 28, 26], [14, 13, 16, 15, 12, 11, 10, 9, 7, 8, 5, 6, 1, 2, 3, 4, 30, 29, 32, 31, 28, 27, 26, 25, 23, 24, 21, 22, 17, 18, 19, 20, 46, 45, 48, 47, 44, 43, 42, 41, 39, 40, 37, 38, 33, 34, 35, 36]], 'genus': 3, 'group': '[48,3]', 'group_order': 48, 'jacobian_decomp': [[1, 3, 5]], 'label': '3.48-3.0.3-3-4', 'ndim': 0, 'passport_label': '3.48-3.0.3-3-4.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,3,3,4]', 'topological': [1, 1], 'total_label': '3.48-3.0.3-3-4.1.1'}
44. total_label: 3.9-1.0.3-9-9.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[2,4,7]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3 = x (x^3-1)'], 'g0': 0, 'gen_vectors': [[2, 3, 1, 5, 6, 4, 8, 9, 7], [4, 5, 6, 7, 8, 9, 2, 3, 1], [8, 9, 7, 3, 1, 2, 6, 4, 5]], 'genus': 3, 'group': '[9,1]', 'group_order': 9, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.9-1.0.3-9-9', 'ndim': 0, 'passport_label': '3.9-1.0.3-9-9.1', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.1.1'}
45. total_label: 3.14-2.0.2-7-14.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,14]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{7}+1'], 'g0': 0, 'gen_vectors': [[8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], [2, 3, 4, 5, 6, 7, 1, 9, 10, 11, 12, 13, 14, 8], [14, 8, 9, 10, 11, 12, 13, 7, 1, 2, 3, 4, 5, 6]], 'genus': 3, 'group': '[14,2]', 'group_order': 14, 'hyp_involution': [8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 4]], 'label': '3.14-2.0.2-7-14', 'ndim': 0, 'passport_label': '3.14-2.0.2-7-14.1', 'r': 3, 'signature': '[0,2,7,14]', 'topological': [1, 1], 'total_label': '3.14-2.0.2-7-14.1.1'}
46. total_label: 3.24-5.0.2-4-12.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,8,12]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x(x^{6}-1)'], 'g0': 0, 'gen_vectors': [[13, 15, 14, 16, 18, 17, 19, 21, 20, 22, 24, 23, 1, 3, 2, 4, 6, 5, 7, 9, 8, 10, 12, 11], [21, 20, 19, 24, 23, 22, 18, 17, 16, 15, 14, 13, 9, 8, 7, 12, 11, 10, 6, 5, 4, 3, 2, 1], [11, 12, 10, 8, 9, 7, 2, 3, 1, 5, 6, 4, 23, 24, 22, 20, 21, 19, 14, 15, 13, 17, 18, 16]], 'genus': 3, 'group': '[24,5]', 'group_order': 24, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 11]], 'label': '3.24-5.0.2-4-12', 'ndim': 0, 'passport_label': '3.24-5.0.2-4-12.1', 'r': 3, 'signature': '[0,2,4,12]', 'topological': [1, 1], 'total_label': '3.24-5.0.2-4-12.1.1'}
47. total_label: 3.24-12.0.3-4-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[4,5,5]', 'dim': 0, 'eqn': [], 'full_auto': '[48,48]', 'full_label': '3.48-48.0.2-4-6', 'g0': 0, 'gen_vectors': [[5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3, 17, 20, 18, 19, 21, 24, 22, 23, 13, 16, 14, 15], [14, 16, 13, 15, 22, 24, 21, 23, 18, 20, 17, 19, 2, 4, 1, 3, 10, 12, 9, 11, 6, 8, 5, 7], [24, 21, 22, 23, 20, 17, 18, 19, 16, 13, 14, 15, 12, 9, 10, 11, 8, 5, 6, 7, 4, 1, 2, 3]], 'genus': 3, 'group': '[24,12]', 'group_order': 24, 'jacobian_decomp': [[1, 3, 5]], 'label': '3.24-12.0.3-4-4', 'ndim': 1, 'passport_label': '3.24-12.0.3-4-4.1', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,3,4,4]', 'topological': [1, 1], 'total_label': '3.24-12.0.3-4-4.1.1'}
48. total_label: 3.24-3.0.3-3-6.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,3,6]', 'dim': 0, 'eqn': [], 'full_auto': '[48,33]', 'full_label': '3.48-33.0.2-3-12', 'g0': 0, 'gen_vectors': [[9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6], [13, 14, 11, 12, 16, 15, 10, 9, 21, 22, 19, 20, 24, 23, 18, 17, 5, 6, 3, 4, 8, 7, 2, 1], [12, 11, 13, 14, 9, 10, 16, 15, 20, 19, 21, 22, 17, 18, 24, 23, 4, 3, 5, 6, 1, 2, 8, 7]], 'genus': 3, 'group': '[24,3]', 'group_order': 24, 'jacobian_decomp': [[1, 1, 2], [2, 1, 4]], 'label': '3.24-3.0.3-3-6', 'ndim': 0, 'passport_label': '3.24-3.0.3-3-6.1', 'r': 3, 'signH': '[0,2,3,12]', 'signature': '[0,3,3,6]', 'topological': [1, 1], 'total_label': '3.24-3.0.3-3-6.1.1'}
49. total_label: 3.24-13.0.2-6-6.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,7,8]', 'dim': 0, 'eqn': [], 'full_auto': '[48,48]', 'full_label': '3.48-48.0.2-4-6', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23], [17, 20, 18, 19, 21, 24, 22, 23, 13, 16, 14, 15, 5, 8, 6, 7, 9, 12, 10, 11, 1, 4, 2, 3], [22, 24, 23, 21, 14, 16, 15, 13, 18, 20, 19, 17, 10, 12, 11, 9, 2, 4, 3, 1, 6, 8, 7, 5]], 'genus': 3, 'group': '[24,13]', 'group_order': 24, 'jacobian_decomp': [[1, 3, 8]], 'label': '3.24-13.0.2-6-6', 'ndim': 1, 'passport_label': '3.24-13.0.2-6-6.1', 'r': 3, 'signH': '[0,2,4,6]', 'signature': '[0,2,6,6]', 'topological': [1, 1], 'total_label': '3.24-13.0.2-6-6.1.1'}
50. total_label: 3.12-2.0.3-4-12.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,5,12]', 'dim': 0, 'eqn': [], 'full_auto': '[48,33]', 'full_label': '3.48-33.0.2-3-12', 'g0': 0, 'gen_vectors': [[3, 4, 5, 6, 1, 2, 9, 10, 11, 12, 7, 8], [7, 8, 9, 10, 11, 12, 2, 1, 4, 3, 6, 5], [12, 11, 8, 7, 10, 9, 5, 6, 1, 2, 3, 4]], 'genus': 3, 'group': '[12,2]', 'group_order': 12, 'jacobian_decomp': [[2, 1, 6], [1, 1, 7]], 'label': '3.12-2.0.3-4-12', 'ndim': 0, 'passport_label': '3.12-2.0.3-4-12.1', 'r': 3, 'signH': '[0,2,3,12]', 'signature': '[0,3,4,12]', 'topological': [1, 1], 'total_label': '3.12-2.0.3-4-12.1.1'}
51. total_label: 3.21-1.0.3-3-7.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,3,4]', 'dim': 0, 'eqn': [], 'full_auto': '[168,42]', 'full_label': '3.168-42.0.2-3-7', 'g0': 0, 'gen_vectors': [[8, 10, 12, 14, 9, 11, 13, 15, 17, 19, 21, 16, 18, 20, 1, 3, 5, 7, 2, 4, 6], [20, 17, 21, 18, 15, 19, 16, 6, 3, 7, 4, 1, 5, 2, 13, 10, 14, 11, 8, 12, 9], [3, 4, 5, 6, 7, 1, 2, 10, 11, 12, 13, 14, 8, 9, 17, 18, 19, 20, 21, 15, 16]], 'genus': 3, 'group': '[21,1]', 'group_order': 21, 'jacobian_decomp': [[1, 3, 4]], 'label': '3.21-1.0.3-3-7', 'ndim': 0, 'passport_label': '3.21-1.0.3-3-7.1', 'r': 3, 'signH': '[0,2,3,7]', 'signature': '[0,3,3,7]', 'topological': [1, 1], 'total_label': '3.21-1.0.3-3-7.1.1'}
52. total_label: 3.32-11.0.2-4-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[4,8,14]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [25, 26, 27, 28, 29, 30, 31, 32, 22, 21, 24, 23, 17, 18, 19, 20, 11, 12, 10, 9, 15, 16, 14, 13, 8, 7, 5, 6, 3, 4, 2, 1], [23, 24, 22, 21, 19, 20, 18, 17, 28, 27, 25, 26, 31, 32, 30, 29, 6, 5, 8, 7, 2, 1, 4, 3, 9, 10, 11, 12, 14, 13, 16, 15]], 'genus': 3, 'group': '[32,11]', 'group_order': 32, 'jacobian_decomp': [[1, 1, 5], [1, 2, 12]], 'label': '3.32-11.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-11.0.2-4-8.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-11.0.2-4-8.1.1'}
53. total_label: 3.16-5.0.2-8-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,9,16]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12], [9, 10, 11, 12, 13, 14, 15, 16, 3, 4, 2, 1, 7, 8, 6, 5], [16, 15, 13, 14, 12, 11, 9, 10, 5, 6, 7, 8, 1, 2, 3, 4]], 'genus': 3, 'group': '[16,5]', 'group_order': 16, 'jacobian_decomp': [[2, 1, 4], [1, 1, 6]], 'label': '3.16-5.0.2-8-8', 'ndim': 0, 'passport_label': '3.16-5.0.2-8-8.1', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '3.16-5.0.2-8-8.1.1'}
54. total_label: 3.16-6.0.2-8-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,7,10]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12], [9, 10, 11, 12, 14, 13, 16, 15, 3, 4, 2, 1, 8, 7, 5, 6], [16, 15, 13, 14, 11, 12, 10, 9, 5, 6, 7, 8, 2, 1, 4, 3]], 'genus': 3, 'group': '[16,6]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 5], [1, 2, 9]], 'label': '3.16-6.0.2-8-8', 'ndim': 0, 'passport_label': '3.16-6.0.2-8-8.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '3.16-6.0.2-8-8.1.1'}
55. total_label: 3.32-9.0.2-4-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[5,9,12]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{8}-1'], 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [18, 17, 20, 19, 21, 22, 23, 24, 30, 29, 32, 31, 26, 25, 28, 27, 4, 3, 2, 1, 7, 8, 5, 6, 16, 15, 14, 13, 12, 11, 10, 9], [28, 27, 26, 25, 32, 31, 30, 29, 23, 24, 21, 22, 20, 19, 18, 17, 10, 9, 12, 11, 14, 13, 16, 15, 5, 6, 7, 8, 2, 1, 4, 3]], 'genus': 3, 'group': '[32,9]', 'group_order': 32, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6, 11, 12, 9, 10, 15, 16, 13, 14, 19, 20, 17, 18, 23, 24, 21, 22, 27, 28, 25, 26, 31, 32, 29, 30], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 12]], 'label': '3.32-9.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-9.0.2-4-8.1', 'r': 3, 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-9.0.2-4-8.1.1'}
56. total_label: 3.48-48.0.2-4-6.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[5,9,10]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^8+14x^4+1'], 'g0': 0, 'gen_vectors': [[25, 27, 26, 28, 33, 35, 34, 36, 29, 31, 30, 32, 37, 39, 38, 40, 45, 47, 46, 48, 41, 43, 42, 44, 1, 3, 2, 4, 9, 11, 10, 12, 5, 7, 6, 8, 13, 15, 14, 16, 21, 23, 22, 24, 17, 19, 18, 20], [48, 45, 46, 47, 44, 41, 42, 43, 40, 37, 38, 39, 36, 33, 34, 35, 32, 29, 30, 31, 28, 25, 26, 27, 24, 21, 22, 23, 20, 17, 18, 19, 16, 13, 14, 15, 12, 9, 10, 11, 8, 5, 6, 7, 4, 1, 2, 3], [19, 18, 20, 17, 23, 22, 24, 21, 15, 14, 16, 13, 7, 6, 8, 5, 11, 10, 12, 9, 3, 2, 4, 1, 43, 42, 44, 41, 47, 46, 48, 45, 39, 38, 40, 37, 31, 30, 32, 29, 35, 34, 36, 33, 27, 26, 28, 25]], 'genus': 3, 'group': '[48,48]', 'group_order': 48, 'hyp_involution': [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], 'hyperelliptic': True, 'jacobian_decomp': [[1, 3, 8]], 'label': '3.48-48.0.2-4-6', 'ndim': 1, 'passport_label': '3.48-48.0.2-4-6.1', 'r': 3, 'signature': '[0,2,4,6]', 'topological': [1, 1], 'total_label': '3.48-48.0.2-4-6.1.1'}
57. total_label: 3.96-64.0.2-3-8.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[3,4,9]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^4 = x (x^2-1)'], 'g0': 0, 'gen_vectors': [[49, 50, 52, 51, 57, 58, 60, 59, 53, 54, 56, 55, 61, 62, 64, 63, 81, 82, 84, 83, 89, 90, 92, 91, 85, 86, 88, 87, 93, 94, 96, 95, 65, 66, 68, 67, 73, 74, 76, 75, 69, 70, 72, 71, 77, 78, 80, 79, 1, 2, 4, 3, 9, 10, 12, 11, 5, 6, 8, 7, 13, 14, 16, 15, 33, 34, 36, 35, 41, 42, 44, 43, 37, 38, 40, 39, 45, 46, 48, 47, 17, 18, 20, 19, 25, 26, 28, 27, 21, 22, 24, 23, 29, 30, 32, 31], [26, 27, 25, 28, 24, 21, 23, 22, 30, 31, 29, 32, 18, 19, 17, 20, 42, 43, 41, 44, 40, 37, 39, 38, 46, 47, 45, 48, 34, 35, 33, 36, 10, 11, 9, 12, 8, 5, 7, 6, 14, 15, 13, 16, 2, 3, 1, 4, 74, 75, 73, 76, 72, 69, 71, 70, 78, 79, 77, 80, 66, 67, 65, 68, 90, 91, 89, 92, 88, 85, 87, 86, 94, 95, 93, 96, 82, 83, 81, 84, 58, 59, 57, 60, 56, 53, 55, 54, 62, 63, 61, 64, 50, 51, 49, 52], [80, 77, 78, 79, 74, 75, 76, 73, 68, 65, 66, 67, 72, 69, 70, 71, 64, 61, 62, 63, 58, 59, 60, 57, 52, 49, 50, 51, 56, 53, 54, 55, 96, 93, 94, 95, 90, 91, 92, 89, 84, 81, 82, 83, 88, 85, 86, 87, 32, 29, 30, 31, 26, 27, 28, 25, 20, 17, 18, 19, 24, 21, 22, 23, 16, 13, 14, 15, 10, 11, 12, 9, 4, 1, 2, 3, 8, 5, 6, 7, 48, 45, 46, 47, 42, 43, 44, 41, 36, 33, 34, 35, 40, 37, 38, 39]], 'genus': 3, 'group': '[96,64]', 'group_order': 96, 'hyperelliptic': False, 'jacobian_decomp': [[1, 3, 7]], 'label': '3.96-64.0.2-3-8', 'ndim': 0, 'passport_label': '3.96-64.0.2-3-8.1', 'r': 3, 'signature': '[0,2,3,8]', 'topological': [1, 1], 'total_label': '3.96-64.0.2-3-8.1.1'}
58. total_label: 3.7-1.0.7-7-7.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,6]', 'dim': 0, 'eqn': [], 'full_auto': '[14,2]', 'full_label': '3.14-2.0.2-7-14', 'g0': 0, 'gen_vectors': [[2, 3, 4, 5, 6, 7, 1], [2, 3, 4, 5, 6, 7, 1], [6, 7, 1, 2, 3, 4, 5]], 'genus': 3, 'group': '[7,1]', 'group_order': 7, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.7-1.0.7-7-7', 'ndim': 0, 'passport_label': '3.7-1.0.7-7-7.1', 'r': 3, 'signH': '[0,2,7,14]', 'signature': '[0,7,7,7]', 'topological': [1, 1], 'total_label': '3.7-1.0.7-7-7.1.1'}
59. total_label: 3.12-1.0.4-4-6.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[4,4,6]', 'dim': 0, 'eqn': [], 'full_auto': '[24,5]', 'full_label': '3.24-5.0.2-4-12', 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 4, 6, 5, 1, 3, 2], [9, 8, 7, 12, 11, 10, 6, 5, 4, 3, 2, 1], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 3, 'group': '[12,1]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 3], [2, 1, 5]], 'label': '3.12-1.0.4-4-6', 'ndim': 0, 'passport_label': '3.12-1.0.4-4-6.1', 'r': 3, 'signH': '[0,2,4,12]', 'signature': '[0,4,4,6]', 'topological': [1, 1], 'total_label': '3.12-1.0.4-4-6.1.1'}
60. total_label: 3.12-2.0.2-12-12.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,9,10]', 'dim': 0, 'eqn': [], 'full_auto': '[24,5]', 'full_label': '3.24-5.0.2-4-12', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [9, 10, 11, 12, 7, 8, 4, 3, 6, 5, 2, 1], [11, 12, 7, 8, 9, 10, 6, 5, 2, 1, 4, 3]], 'genus': 3, 'group': '[12,2]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 2], [2, 1, 6]], 'label': '3.12-2.0.2-12-12', 'ndim': 0, 'passport_label': '3.12-2.0.2-12-12.1', 'r': 3, 'signH': '[0,2,4,12]', 'signature': '[0,2,12,12]', 'topological': [1, 1], 'total_label': '3.12-2.0.2-12-12.1.1'}
61. total_label: 3.16-2.0.4-4-4.1.1
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[5,9,14]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 2, 1, 4, 3, 13, 14, 15, 16, 10, 9, 12, 11], [9, 10, 11, 12, 13, 14, 15, 16, 3, 4, 1, 2, 7, 8, 5, 6], [16, 15, 14, 13, 11, 12, 9, 10, 6, 5, 8, 7, 1, 2, 3, 4]], 'genus': 3, 'group': '[16,2]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [1, 1, 10]], 'label': '3.16-2.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-2.0.4-4-4.1', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-2.0.4-4-4.1.1'}
62. total_label: 3.9-1.0.3-9-9.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[2,5,6]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3 = x (x^3-1)'], 'g0': 0, 'gen_vectors': [[2, 3, 1, 5, 6, 4, 8, 9, 7], [7, 8, 9, 2, 3, 1, 5, 6, 4], [5, 6, 4, 8, 9, 7, 3, 1, 2]], 'genus': 3, 'group': '[9,1]', 'group_order': 9, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.9-1.0.3-9-9', 'ndim': 0, 'passport_label': '3.9-1.0.3-9-9.2', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.2.1'}
63. total_label: 3.14-2.0.2-7-14.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,4,11]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{7}+1'], 'g0': 0, 'gen_vectors': [[8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], [3, 4, 5, 6, 7, 1, 2, 10, 11, 12, 13, 14, 8, 9], [13, 14, 8, 9, 10, 11, 12, 6, 7, 1, 2, 3, 4, 5]], 'genus': 3, 'group': '[14,2]', 'group_order': 14, 'hyp_involution': [8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 4]], 'label': '3.14-2.0.2-7-14', 'ndim': 0, 'passport_label': '3.14-2.0.2-7-14.2', 'r': 3, 'signature': '[0,2,7,14]', 'topological': [1, 1], 'total_label': '3.14-2.0.2-7-14.2.1'}
64. total_label: 3.24-5.0.2-4-12.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,9,11]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x(x^{6}-1)'], 'g0': 0, 'gen_vectors': [[13, 15, 14, 16, 18, 17, 19, 21, 20, 22, 24, 23, 1, 3, 2, 4, 6, 5, 7, 9, 8, 10, 12, 11], [24, 23, 22, 21, 20, 19, 15, 14, 13, 18, 17, 16, 12, 11, 10, 9, 8, 7, 3, 2, 1, 6, 5, 4], [8, 9, 7, 11, 12, 10, 5, 6, 4, 2, 3, 1, 20, 21, 19, 23, 24, 22, 17, 18, 16, 14, 15, 13]], 'genus': 3, 'group': '[24,5]', 'group_order': 24, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 11]], 'label': '3.24-5.0.2-4-12', 'ndim': 0, 'passport_label': '3.24-5.0.2-4-12.2', 'r': 3, 'signature': '[0,2,4,12]', 'topological': [1, 1], 'total_label': '3.24-5.0.2-4-12.2.1'}
65. total_label: 3.32-9.0.2-4-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[5,9,14]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{8}-1'], 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [17, 18, 19, 20, 22, 21, 24, 23, 29, 30, 31, 32, 25, 26, 27, 28, 3, 4, 1, 2, 8, 7, 6, 5, 15, 16, 13, 14, 11, 12, 9, 10], [27, 28, 25, 26, 31, 32, 29, 30, 24, 23, 22, 21, 19, 20, 17, 18, 9, 10, 11, 12, 13, 14, 15, 16, 6, 5, 8, 7, 1, 2, 3, 4]], 'genus': 3, 'group': '[32,9]', 'group_order': 32, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6, 11, 12, 9, 10, 15, 16, 13, 14, 19, 20, 17, 18, 23, 24, 21, 22, 27, 28, 25, 26, 31, 32, 29, 30], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 12]], 'label': '3.32-9.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-9.0.2-4-8.2', 'r': 3, 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-9.0.2-4-8.2.1'}
66. total_label: 3.48-33.0.2-3-12.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'cinv': [9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6, 33, 34, 39, 40, 35, 36, 37, 38, 41, 42, 47, 48, 43, 44, 45, 46, 25, 26, 31, 32, 27, 28, 29, 30], 'con': '[3,4,14]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^4 = x^3-1'], 'g0': 0, 'gen_vectors': [[27, 28, 26, 25, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 47, 48, 46, 45, 4, 3, 1, 2, 8, 7, 5, 6, 12, 11, 9, 10, 16, 15, 13, 14, 20, 19, 17, 18, 24, 23, 21, 22], [9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6, 33, 34, 39, 40, 35, 36, 37, 38, 41, 42, 47, 48, 43, 44, 45, 46, 25, 26, 31, 32, 27, 28, 29, 30], [43, 44, 47, 48, 46, 45, 42, 41, 27, 28, 31, 32, 30, 29, 26, 25, 35, 36, 39, 40, 38, 37, 34, 33, 20, 19, 24, 23, 21, 22, 17, 18, 4, 3, 8, 7, 5, 6, 1, 2, 12, 11, 16, 15, 13, 14, 9, 10]], 'genus': 3, 'group': '[48,33]', 'group_order': 48, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [1, 2, 7]], 'label': '3.48-33.0.2-3-12', 'ndim': 0, 'passport_label': '3.48-33.0.2-3-12.2', 'r': 3, 'signature': '[0,2,3,12]', 'topological': [1, 1], 'total_label': '3.48-33.0.2-3-12.2.1'}
67. total_label: 3.48-48.0.2-4-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[6,8,10]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^8+14x^4+1'], 'g0': 0, 'gen_vectors': [[37, 39, 38, 40, 45, 47, 46, 48, 41, 43, 42, 44, 25, 27, 26, 28, 33, 35, 34, 36, 29, 31, 30, 32, 13, 15, 14, 16, 21, 23, 22, 24, 17, 19, 18, 20, 1, 3, 2, 4, 9, 11, 10, 12, 5, 7, 6, 8], [36, 33, 34, 35, 32, 29, 30, 31, 28, 25, 26, 27, 48, 45, 46, 47, 44, 41, 42, 43, 40, 37, 38, 39, 12, 9, 10, 11, 8, 5, 6, 7, 4, 1, 2, 3, 24, 21, 22, 23, 20, 17, 18, 19, 16, 13, 14, 15], [19, 18, 20, 17, 23, 22, 24, 21, 15, 14, 16, 13, 7, 6, 8, 5, 11, 10, 12, 9, 3, 2, 4, 1, 43, 42, 44, 41, 47, 46, 48, 45, 39, 38, 40, 37, 31, 30, 32, 29, 35, 34, 36, 33, 27, 26, 28, 25]], 'genus': 3, 'group': '[48,48]', 'group_order': 48, 'hyp_involution': [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36], 'hyperelliptic': True, 'jacobian_decomp': [[1, 3, 8]], 'label': '3.48-48.0.2-4-6', 'ndim': 1, 'passport_label': '3.48-48.0.2-4-6.2', 'r': 3, 'signature': '[0,2,4,6]', 'topological': [1, 1], 'total_label': '3.48-48.0.2-4-6.2.1'}
68. total_label: 3.96-64.0.2-3-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,4,10]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^4 = x (x^2-1)'], 'g0': 0, 'gen_vectors': [[49, 50, 52, 51, 57, 58, 60, 59, 53, 54, 56, 55, 61, 62, 64, 63, 81, 82, 84, 83, 89, 90, 92, 91, 85, 86, 88, 87, 93, 94, 96, 95, 65, 66, 68, 67, 73, 74, 76, 75, 69, 70, 72, 71, 77, 78, 80, 79, 1, 2, 4, 3, 9, 10, 12, 11, 5, 6, 8, 7, 13, 14, 16, 15, 33, 34, 36, 35, 41, 42, 44, 43, 37, 38, 40, 39, 45, 46, 48, 47, 17, 18, 20, 19, 25, 26, 28, 27, 21, 22, 24, 23, 29, 30, 32, 31], [32, 29, 31, 30, 20, 17, 19, 18, 26, 27, 25, 28, 24, 21, 23, 22, 48, 45, 47, 46, 36, 33, 35, 34, 42, 43, 41, 44, 40, 37, 39, 38, 16, 13, 15, 14, 4, 1, 3, 2, 10, 11, 9, 12, 8, 5, 7, 6, 80, 77, 79, 78, 68, 65, 67, 66, 74, 75, 73, 76, 72, 69, 71, 70, 96, 93, 95, 94, 84, 81, 83, 82, 90, 91, 89, 92, 88, 85, 87, 86, 64, 61, 63, 62, 52, 49, 51, 50, 58, 59, 57, 60, 56, 53, 55, 54], [74, 75, 76, 73, 78, 79, 80, 77, 72, 69, 70, 71, 66, 67, 68, 65, 58, 59, 60, 57, 62, 63, 64, 61, 56, 53, 54, 55, 50, 51, 52, 49, 90, 91, 92, 89, 94, 95, 96, 93, 88, 85, 86, 87, 82, 83, 84, 81, 26, 27, 28, 25, 30, 31, 32, 29, 24, 21, 22, 23, 18, 19, 20, 17, 10, 11, 12, 9, 14, 15, 16, 13, 8, 5, 6, 7, 2, 3, 4, 1, 42, 43, 44, 41, 46, 47, 48, 45, 40, 37, 38, 39, 34, 35, 36, 33]], 'genus': 3, 'group': '[96,64]', 'group_order': 96, 'hyperelliptic': False, 'jacobian_decomp': [[1, 3, 7]], 'label': '3.96-64.0.2-3-8', 'ndim': 0, 'passport_label': '3.96-64.0.2-3-8.2', 'r': 3, 'signature': '[0,2,3,8]', 'topological': [1, 1], 'total_label': '3.96-64.0.2-3-8.2.1'}
69. total_label: 3.7-1.0.7-7-7.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,3,5]', 'dim': 0, 'eqn': [], 'full_auto': '[168,42]', 'full_label': '3.168-42.0.2-3-7', 'g0': 0, 'gen_vectors': [[2, 3, 4, 5, 6, 7, 1], [3, 4, 5, 6, 7, 1, 2], [5, 6, 7, 1, 2, 3, 4]], 'genus': 3, 'group': '[7,1]', 'group_order': 7, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.7-1.0.7-7-7', 'ndim': 0, 'passport_label': '3.7-1.0.7-7-7.2', 'r': 3, 'signH': '[0,2,3,7]', 'signature': '[0,7,7,7]', 'topological': [2, 1], 'total_label': '3.7-1.0.7-7-7.2.1'}
70. total_label: 3.12-1.0.4-4-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[5,5,6]', 'dim': 0, 'eqn': [], 'full_auto': '[24,5]', 'full_label': '3.24-5.0.2-4-12', 'g0': 0, 'gen_vectors': [[10, 12, 11, 7, 9, 8, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 3, 2, 1, 6, 5, 4], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 3, 'group': '[12,1]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 3], [2, 1, 5]], 'label': '3.12-1.0.4-4-6', 'ndim': 0, 'passport_label': '3.12-1.0.4-4-6.2', 'r': 3, 'signH': '[0,2,4,12]', 'signature': '[0,4,4,6]', 'topological': [1, 1], 'total_label': '3.12-1.0.4-4-6.2.1'}
71. total_label: 3.12-2.0.2-12-12.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,11,12]', 'dim': 0, 'eqn': [], 'full_auto': '[24,5]', 'full_label': '3.24-5.0.2-4-12', 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11], [10, 9, 12, 11, 8, 7, 3, 4, 5, 6, 1, 2], [12, 11, 8, 7, 10, 9, 5, 6, 1, 2, 3, 4]], 'genus': 3, 'group': '[12,2]', 'group_order': 12, 'jacobian_decomp': [[1, 1, 2], [2, 1, 6]], 'label': '3.12-2.0.2-12-12', 'ndim': 0, 'passport_label': '3.12-2.0.2-12-12.2', 'r': 3, 'signH': '[0,2,4,12]', 'signature': '[0,2,12,12]', 'topological': [1, 1], 'total_label': '3.12-2.0.2-12-12.2.1'}
72. total_label: 3.16-2.0.4-4-4.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[5,10,15]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 2, 1, 4, 3, 13, 14, 15, 16, 10, 9, 12, 11], [11, 12, 9, 10, 15, 16, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8], [14, 13, 16, 15, 9, 10, 11, 12, 8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 3, 'group': '[16,2]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [1, 1, 10]], 'label': '3.16-2.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-2.0.4-4-4.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-2.0.4-4-4.2.1'}
73. total_label: 3.16-4.0.4-4-4.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[5,8,9]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 3, 4, 1, 2, 13, 14, 15, 16, 11, 12, 9, 10], [10, 9, 12, 11, 16, 15, 14, 13, 1, 2, 3, 4, 7, 8, 5, 6], [15, 16, 13, 14, 11, 12, 9, 10, 8, 7, 6, 5, 4, 3, 2, 1]], 'genus': 3, 'group': '[16,4]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [2, 1, 9]], 'label': '3.16-4.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-4.0.4-4-4.2', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-4.0.4-4-4.2.1'}
74. total_label: 3.16-5.0.2-8-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,10,15]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12], [11, 12, 10, 9, 15, 16, 14, 13, 2, 1, 4, 3, 6, 5, 8, 7], [14, 13, 16, 15, 10, 9, 12, 11, 8, 7, 5, 6, 4, 3, 1, 2]], 'genus': 3, 'group': '[16,5]', 'group_order': 16, 'jacobian_decomp': [[2, 1, 4], [1, 1, 6]], 'label': '3.16-5.0.2-8-8', 'ndim': 0, 'passport_label': '3.16-5.0.2-8-8.2', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '3.16-5.0.2-8-8.2.1'}
75. total_label: 3.16-6.0.2-8-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,8,9]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12], [11, 12, 10, 9, 16, 15, 13, 14, 2, 1, 4, 3, 5, 6, 7, 8], [14, 13, 16, 15, 9, 10, 11, 12, 8, 7, 5, 6, 3, 4, 2, 1]], 'genus': 3, 'group': '[16,6]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 5], [1, 2, 9]], 'label': '3.16-6.0.2-8-8', 'ndim': 0, 'passport_label': '3.16-6.0.2-8-8.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '3.16-6.0.2-8-8.2.1'}
76. total_label: 3.48-3.0.3-3-4.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,4,6]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[17, 20, 18, 19, 30, 31, 29, 32, 21, 24, 22, 23, 28, 25, 27, 26, 33, 36, 34, 35, 46, 47, 45, 48, 37, 40, 38, 39, 44, 41, 43, 42, 1, 4, 2, 3, 14, 15, 13, 16, 5, 8, 6, 7, 12, 9, 11, 10], [46, 48, 47, 45, 39, 37, 38, 40, 34, 36, 35, 33, 42, 44, 43, 41, 14, 16, 15, 13, 7, 5, 6, 8, 2, 4, 3, 1, 10, 12, 11, 9, 30, 32, 31, 29, 23, 21, 22, 24, 18, 20, 19, 17, 26, 28, 27, 25], [13, 14, 15, 16, 11, 12, 9, 10, 8, 7, 6, 5, 2, 1, 4, 3, 29, 30, 31, 32, 27, 28, 25, 26, 24, 23, 22, 21, 18, 17, 20, 19, 45, 46, 47, 48, 43, 44, 41, 42, 40, 39, 38, 37, 34, 33, 36, 35]], 'genus': 3, 'group': '[48,3]', 'group_order': 48, 'jacobian_decomp': [[1, 3, 5]], 'label': '3.48-3.0.3-3-4', 'ndim': 0, 'passport_label': '3.48-3.0.3-3-4.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,3,3,4]', 'topological': [1, 1], 'total_label': '3.48-3.0.3-3-4.2.1'}
77. total_label: 3.12-2.0.3-4-12.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,6,10]', 'dim': 0, 'eqn': [], 'full_auto': '[48,33]', 'full_label': '3.48-33.0.2-3-12', 'g0': 0, 'gen_vectors': [[3, 4, 5, 6, 1, 2, 9, 10, 11, 12, 7, 8], [8, 7, 10, 9, 12, 11, 1, 2, 3, 4, 5, 6], [11, 12, 7, 8, 9, 10, 6, 5, 2, 1, 4, 3]], 'genus': 3, 'group': '[12,2]', 'group_order': 12, 'jacobian_decomp': [[2, 1, 6], [1, 1, 7]], 'label': '3.12-2.0.3-4-12', 'ndim': 0, 'passport_label': '3.12-2.0.3-4-12.2', 'r': 3, 'signH': '[0,2,3,12]', 'signature': '[0,3,4,12]', 'topological': [1, 1], 'total_label': '3.12-2.0.3-4-12.2.1'}
78. total_label: 3.21-1.0.3-3-7.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,3,5]', 'dim': 0, 'eqn': [], 'full_auto': '[168,42]', 'full_label': '3.168-42.0.2-3-7', 'g0': 0, 'gen_vectors': [[8, 10, 12, 14, 9, 11, 13, 15, 17, 19, 21, 16, 18, 20, 1, 3, 5, 7, 2, 4, 6], [19, 16, 20, 17, 21, 18, 15, 5, 2, 6, 3, 7, 4, 1, 12, 9, 13, 10, 14, 11, 8], [4, 5, 6, 7, 1, 2, 3, 11, 12, 13, 14, 8, 9, 10, 18, 19, 20, 21, 15, 16, 17]], 'genus': 3, 'group': '[21,1]', 'group_order': 21, 'jacobian_decomp': [[1, 3, 4]], 'label': '3.21-1.0.3-3-7', 'ndim': 0, 'passport_label': '3.21-1.0.3-3-7.2', 'r': 3, 'signH': '[0,2,3,7]', 'signature': '[0,3,3,7]', 'topological': [1, 1], 'total_label': '3.21-1.0.3-3-7.2.1'}
79. total_label: 3.168-42.0.2-3-7.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,3,6]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['x^3y+y^3z+z^3x=0'], 'g0': 0, 'gen_vectors': [[5, 9, 45, 88, 1, 77, 104, 12, 2, 17, 32, 8, 154, 125, 19, 23, 10, 39, 15, 91, 160, 26, 16, 66, 151, 22, 84, 139, 33, 114, 38, 11, 29, 147, 48, 40, 163, 31, 18, 36, 98, 69, 47, 51, 3, 130, 43, 35, 146, 54, 44, 59, 74, 50, 112, 167, 61, 65, 52, 81, 57, 133, 118, 68, 58, 24, 109, 64, 42, 97, 75, 156, 80, 53, 71, 105, 6, 82, 121, 73, 60, 78, 140, 27, 89, 93, 129, 4, 85, 161, 20, 96, 86, 101, 116, 92, 70, 41, 103, 107, 94, 123, 99, 7, 76, 110, 100, 150, 67, 106, 168, 55, 117, 30, 122, 95, 113, 63, 132, 124, 79, 115, 102, 120, 14, 153, 131, 135, 87, 46, 127, 119, 62, 138, 128, 143, 158, 134, 28, 83, 145, 149, 136, 165, 141, 49, 34, 152, 142, 108, 25, 148, 126, 13, 159, 72, 164, 137, 155, 21, 90, 166, 37, 157, 144, 162, 56, 111], [108, 140, 116, 141, 30, 83, 26, 80, 168, 95, 155, 86, 111, 54, 73, 119, 144, 120, 149, 132, 61, 129, 105, 165, 92, 37, 76, 5, 52, 28, 88, 64, 93, 139, 82, 59, 7, 151, 43, 142, 104, 75, 150, 98, 158, 99, 72, 41, 68, 38, 126, 137, 113, 128, 153, 12, 31, 161, 102, 162, 107, 90, 19, 87, 147, 123, 134, 79, 34, 47, 10, 70, 130, 22, 135, 97, 40, 17, 49, 109, 1, 100, 146, 33, 24, 56, 32, 57, 114, 167, 110, 164, 84, 11, 71, 2, 27, 138, 157, 35, 60, 36, 65, 48, 145, 45, 21, 81, 8, 121, 160, 89, 136, 112, 4, 148, 9, 55, 166, 143, 91, 67, 127, 58, 20, 159, 66, 14, 74, 15, 156, 125, 152, 122, 42, 53, 29, 44, 69, 96, 115, 77, 18, 78, 23, 6, 103, 3, 63, 39, 50, 163, 118, 131, 94, 154, 46, 106, 51, 13, 124, 101, 133, 25, 85, 16, 62, 117], [60, 92, 152, 122, 139, 49, 163, 67, 113, 75, 101, 167, 21, 135, 46, 162, 82, 136, 118, 14, 100, 53, 141, 89, 157, 104, 70, 114, 158, 1, 61, 129, 27, 42, 107, 123, 22, 54, 108, 6, 35, 128, 18, 134, 110, 164, 97, 7, 121, 25, 155, 33, 143, 125, 63, 93, 4, 120, 40, 94, 160, 56, 142, 11, 99, 131, 115, 146, 28, 156, 116, 43, 19, 87, 69, 84, 149, 165, 64, 12, 150, 48, 77, 86, 144, 8, 68, 38, 55, 133, 79, 151, 29, 159, 17, 83, 105, 51, 130, 78, 166, 52, 34, 98, 16, 137, 57, 5, 73, 20, 154, 30, 74, 85, 145, 45, 111, 126, 23, 39, 106, 138, 24, 90, 119, 44, 102, 50, 26, 80, 13, 91, 37, 109, 71, 117, 59, 41, 147, 9, 88, 36, 124, 10, 76, 140, 58, 95, 15, 47, 31, 62, 112, 72, 32, 127, 103, 3, 153, 168, 65, 81, 148, 96, 66, 132, 161, 2]], 'genus': 3, 'group': '[168,42]', 'group_order': 168, 'hyperelliptic': False, 'jacobian_decomp': [[1, 3, 2]], 'label': '3.168-42.0.2-3-7', 'ndim': 0, 'passport_label': '3.168-42.0.2-3-7.2', 'r': 3, 'signature': '[0,2,3,7]', 'topological': [1, 1], 'total_label': '3.168-42.0.2-3-7.2.1'}
80. total_label: 3.8-1.0.4-8-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[3,6,6]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[3, 4, 2, 1, 7, 8, 6, 5], [7, 8, 6, 5, 2, 1, 4, 3], [7, 8, 6, 5, 2, 1, 4, 3]], 'genus': 3, 'group': '[8,1]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3]], 'label': '3.8-1.0.4-8-8', 'ndim': 0, 'passport_label': '3.8-1.0.4-8-8.2', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,8,8]', 'topological': [2, 1], 'total_label': '3.8-1.0.4-8-8.2.1'}
81. total_label: 3.24-3.0.3-3-6.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[4,4,7]', 'dim': 0, 'eqn': [], 'full_auto': '[48,33]', 'full_label': '3.48-33.0.2-3-12', 'g0': 0, 'gen_vectors': [[17, 18, 21, 22, 23, 24, 19, 20, 1, 2, 5, 6, 7, 8, 3, 4, 9, 10, 13, 14, 15, 16, 11, 12], [24, 23, 19, 20, 17, 18, 22, 21, 8, 7, 3, 4, 1, 2, 6, 5, 16, 15, 11, 12, 9, 10, 14, 13], [19, 20, 23, 24, 22, 21, 18, 17, 3, 4, 7, 8, 6, 5, 2, 1, 11, 12, 15, 16, 14, 13, 10, 9]], 'genus': 3, 'group': '[24,3]', 'group_order': 24, 'jacobian_decomp': [[1, 1, 2], [2, 1, 4]], 'label': '3.24-3.0.3-3-6', 'ndim': 0, 'passport_label': '3.24-3.0.3-3-6.2', 'r': 3, 'signH': '[0,2,3,12]', 'signature': '[0,3,3,6]', 'topological': [1, 1], 'total_label': '3.24-3.0.3-3-6.2.1'}
82. total_label: 3.32-11.0.2-4-8.2.1
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[4,9,13]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [32, 31, 29, 30, 27, 28, 26, 25, 20, 19, 17, 18, 24, 23, 21, 22, 13, 14, 15, 16, 10, 9, 12, 11, 1, 2, 3, 4, 5, 6, 7, 8], [17, 18, 19, 20, 22, 21, 24, 23, 29, 30, 31, 32, 25, 26, 27, 28, 3, 4, 2, 1, 8, 7, 5, 6, 15, 16, 14, 13, 11, 12, 10, 9]], 'genus': 3, 'group': '[32,11]', 'group_order': 32, 'jacobian_decomp': [[1, 1, 5], [1, 2, 12]], 'label': '3.32-11.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-11.0.2-4-8.2', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-11.0.2-4-8.2.1'}
83. total_label: 3.14-2.0.2-7-14.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,5,13]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{7}+1'], 'g0': 0, 'gen_vectors': [[8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], [4, 5, 6, 7, 1, 2, 3, 11, 12, 13, 14, 8, 9, 10], [12, 13, 14, 8, 9, 10, 11, 5, 6, 7, 1, 2, 3, 4]], 'genus': 3, 'group': '[14,2]', 'group_order': 14, 'hyp_involution': [8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 4]], 'label': '3.14-2.0.2-7-14', 'ndim': 0, 'passport_label': '3.14-2.0.2-7-14.3', 'r': 3, 'signature': '[0,2,7,14]', 'topological': [1, 1], 'total_label': '3.14-2.0.2-7-14.3.1'}
84. total_label: 3.24-5.0.2-4-12.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[4,8,11]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x(x^{6}-1)'], 'g0': 0, 'gen_vectors': [[16, 18, 17, 13, 15, 14, 22, 24, 23, 19, 21, 20, 4, 6, 5, 1, 3, 2, 10, 12, 11, 7, 9, 8], [21, 20, 19, 24, 23, 22, 18, 17, 16, 15, 14, 13, 9, 8, 7, 12, 11, 10, 6, 5, 4, 3, 2, 1], [8, 9, 7, 11, 12, 10, 5, 6, 4, 2, 3, 1, 20, 21, 19, 23, 24, 22, 17, 18, 16, 14, 15, 13]], 'genus': 3, 'group': '[24,5]', 'group_order': 24, 'hyp_involution': [4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9, 16, 17, 18, 13, 14, 15, 22, 23, 24, 19, 20, 21], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 11]], 'label': '3.24-5.0.2-4-12', 'ndim': 0, 'passport_label': '3.24-5.0.2-4-12.3', 'r': 3, 'signature': '[0,2,4,12]', 'topological': [1, 1], 'total_label': '3.24-5.0.2-4-12.3.1'}
85. total_label: 3.8-1.0.4-8-8.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,8,8]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[3, 4, 2, 1, 7, 8, 6, 5], [8, 7, 5, 6, 1, 2, 3, 4], [8, 7, 5, 6, 1, 2, 3, 4]], 'genus': 3, 'group': '[8,1]', 'group_order': 8, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3]], 'label': '3.8-1.0.4-8-8', 'ndim': 0, 'passport_label': '3.8-1.0.4-8-8.3', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,8,8]', 'topological': [2, 1], 'total_label': '3.8-1.0.4-8-8.3.1'}
86. total_label: 3.7-1.0.7-7-7.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,4,4]', 'dim': 0, 'eqn': [], 'full_auto': '[14,2]', 'full_label': '3.14-2.0.2-7-14', 'g0': 0, 'gen_vectors': [[2, 3, 4, 5, 6, 7, 1], [4, 5, 6, 7, 1, 2, 3], [4, 5, 6, 7, 1, 2, 3]], 'genus': 3, 'group': '[7,1]', 'group_order': 7, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.7-1.0.7-7-7', 'ndim': 0, 'passport_label': '3.7-1.0.7-7-7.3', 'r': 3, 'signH': '[0,2,7,14]', 'signature': '[0,7,7,7]', 'topological': [1, 1], 'total_label': '3.7-1.0.7-7-7.3.1'}
87. total_label: 3.16-2.0.4-4-4.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[5,11,16]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 2, 1, 4, 3, 13, 14, 15, 16, 10, 9, 12, 11], [10, 9, 12, 11, 14, 13, 16, 15, 4, 3, 2, 1, 8, 7, 6, 5], [15, 16, 13, 14, 12, 11, 10, 9, 5, 6, 7, 8, 2, 1, 4, 3]], 'genus': 3, 'group': '[16,2]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [1, 1, 10]], 'label': '3.16-2.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-2.0.4-4-4.3', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-2.0.4-4-4.3.1'}
88. total_label: 3.16-5.0.2-8-8.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,11,14]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[5, 6, 7, 8, 1, 2, 3, 4, 13, 14, 15, 16, 9, 10, 11, 12], [10, 9, 12, 11, 14, 13, 16, 15, 4, 3, 1, 2, 8, 7, 5, 6], [15, 16, 14, 13, 11, 12, 10, 9, 6, 5, 8, 7, 2, 1, 4, 3]], 'genus': 3, 'group': '[16,5]', 'group_order': 16, 'jacobian_decomp': [[2, 1, 4], [1, 1, 6]], 'label': '3.16-5.0.2-8-8', 'ndim': 0, 'passport_label': '3.16-5.0.2-8-8.3', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,2,8,8]', 'topological': [1, 1], 'total_label': '3.16-5.0.2-8-8.3.1'}
89. total_label: 3.12-2.0.3-4-12.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[4,5,11]', 'dim': 0, 'eqn': [], 'full_auto': '[48,33]', 'full_label': '3.48-33.0.2-3-12', 'g0': 0, 'gen_vectors': [[5, 6, 1, 2, 3, 4, 11, 12, 7, 8, 9, 10], [7, 8, 9, 10, 11, 12, 2, 1, 4, 3, 6, 5], [10, 9, 12, 11, 8, 7, 3, 4, 5, 6, 1, 2]], 'genus': 3, 'group': '[12,2]', 'group_order': 12, 'jacobian_decomp': [[2, 1, 6], [1, 1, 7]], 'label': '3.12-2.0.3-4-12', 'ndim': 0, 'passport_label': '3.12-2.0.3-4-12.3', 'r': 3, 'signH': '[0,2,3,12]', 'signature': '[0,3,4,12]', 'topological': [1, 1], 'total_label': '3.12-2.0.3-4-12.3.1'}
90. total_label: 3.48-3.0.3-3-4.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,4,7]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[17, 20, 18, 19, 30, 31, 29, 32, 21, 24, 22, 23, 28, 25, 27, 26, 33, 36, 34, 35, 46, 47, 45, 48, 37, 40, 38, 39, 44, 41, 43, 42, 1, 4, 2, 3, 14, 15, 13, 16, 5, 8, 6, 7, 12, 9, 11, 10], [48, 46, 45, 47, 37, 39, 40, 38, 36, 34, 33, 35, 44, 42, 41, 43, 16, 14, 13, 15, 5, 7, 8, 6, 4, 2, 1, 3, 12, 10, 9, 11, 32, 30, 29, 31, 21, 23, 24, 22, 20, 18, 17, 19, 28, 26, 25, 27], [15, 16, 13, 14, 9, 10, 11, 12, 6, 5, 8, 7, 4, 3, 2, 1, 31, 32, 29, 30, 25, 26, 27, 28, 22, 21, 24, 23, 20, 19, 18, 17, 47, 48, 45, 46, 41, 42, 43, 44, 38, 37, 40, 39, 36, 35, 34, 33]], 'genus': 3, 'group': '[48,3]', 'group_order': 48, 'jacobian_decomp': [[1, 3, 5]], 'label': '3.48-3.0.3-3-4', 'ndim': 0, 'passport_label': '3.48-3.0.3-3-4.3', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,3,3,4]', 'topological': [1, 1], 'total_label': '3.48-3.0.3-3-4.3.1'}
91. total_label: 3.32-11.0.2-4-8.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[4,10,14]', 'dim': 0, 'eqn': [], 'full_auto': '[96,64]', 'full_label': '3.96-64.0.2-3-8', 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [26, 25, 28, 27, 30, 29, 32, 31, 21, 22, 23, 24, 18, 17, 20, 19, 12, 11, 9, 10, 16, 15, 13, 14, 7, 8, 6, 5, 4, 3, 1, 2], [24, 23, 21, 22, 20, 19, 17, 18, 27, 28, 26, 25, 32, 31, 29, 30, 5, 6, 7, 8, 1, 2, 3, 4, 10, 9, 12, 11, 13, 14, 15, 16]], 'genus': 3, 'group': '[32,11]', 'group_order': 32, 'jacobian_decomp': [[1, 1, 5], [1, 2, 12]], 'label': '3.32-11.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-11.0.2-4-8.3', 'r': 3, 'signH': '[0,2,3,8]', 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-11.0.2-4-8.3.1'}
92. total_label: 3.48-33.0.2-3-12.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'cinv': [9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6, 33, 34, 39, 40, 35, 36, 37, 38, 41, 42, 47, 48, 43, 44, 45, 46, 25, 26, 31, 32, 27, 28, 29, 30], 'con': '[3,5,11]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^4 = x^3-1'], 'g0': 0, 'gen_vectors': [[27, 28, 26, 25, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 47, 48, 46, 45, 4, 3, 1, 2, 8, 7, 5, 6, 12, 11, 9, 10, 16, 15, 13, 14, 20, 19, 17, 18, 24, 23, 21, 22], [17, 18, 21, 22, 23, 24, 19, 20, 1, 2, 5, 6, 7, 8, 3, 4, 9, 10, 13, 14, 15, 16, 11, 12, 41, 42, 45, 46, 47, 48, 43, 44, 25, 26, 29, 30, 31, 32, 27, 28, 33, 34, 37, 38, 39, 40, 35, 36], [35, 36, 38, 37, 34, 33, 39, 40, 43, 44, 46, 45, 42, 41, 47, 48, 27, 28, 30, 29, 26, 25, 31, 32, 12, 11, 13, 14, 9, 10, 16, 15, 20, 19, 21, 22, 17, 18, 24, 23, 4, 3, 5, 6, 1, 2, 8, 7]], 'genus': 3, 'group': '[48,33]', 'group_order': 48, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [1, 2, 7]], 'label': '3.48-33.0.2-3-12', 'ndim': 0, 'passport_label': '3.48-33.0.2-3-12.3', 'r': 3, 'signature': '[0,2,3,12]', 'topological': [1, 1], 'total_label': '3.48-33.0.2-3-12.3.1'}
93. total_label: 3.16-4.0.4-4-4.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[6,7,9]', 'dim': 0, 'eqn': [], 'full_auto': '[32,9]', 'full_label': '3.32-9.0.2-4-8', 'g0': 0, 'gen_vectors': [[6, 5, 8, 7, 4, 3, 2, 1, 14, 13, 16, 15, 12, 11, 10, 9], [9, 10, 11, 12, 15, 16, 13, 14, 2, 1, 4, 3, 8, 7, 6, 5], [15, 16, 13, 14, 11, 12, 9, 10, 8, 7, 6, 5, 4, 3, 2, 1]], 'genus': 3, 'group': '[16,4]', 'group_order': 16, 'jacobian_decomp': [[1, 1, 6], [2, 1, 9]], 'label': '3.16-4.0.4-4-4', 'ndim': 0, 'passport_label': '3.16-4.0.4-4-4.3', 'r': 3, 'signH': '[0,2,4,8]', 'signature': '[0,4,4,4]', 'topological': [1, 1], 'total_label': '3.16-4.0.4-4-4.3.1'}
94. total_label: 3.9-1.0.3-9-9.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[2,8,9]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3 = x (x^3-1)'], 'g0': 0, 'gen_vectors': [[2, 3, 1, 5, 6, 4, 8, 9, 7], [6, 4, 5, 9, 7, 8, 1, 2, 3], [9, 7, 8, 1, 2, 3, 4, 5, 6]], 'genus': 3, 'group': '[9,1]', 'group_order': 9, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.9-1.0.3-9-9', 'ndim': 0, 'passport_label': '3.9-1.0.3-9-9.3', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.3.1'}
95. total_label: 3.32-9.0.2-4-8.3.1
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[5,10,11]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{8}-1'], 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [19, 20, 17, 18, 24, 23, 22, 21, 31, 32, 29, 30, 27, 28, 25, 26, 1, 2, 3, 4, 6, 5, 8, 7, 13, 14, 15, 16, 9, 10, 11, 12], [25, 26, 27, 28, 29, 30, 31, 32, 22, 21, 24, 23, 17, 18, 19, 20, 11, 12, 9, 10, 15, 16, 13, 14, 8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 3, 'group': '[32,9]', 'group_order': 32, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6, 11, 12, 9, 10, 15, 16, 13, 14, 19, 20, 17, 18, 23, 24, 21, 22, 27, 28, 25, 26, 31, 32, 29, 30], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 12]], 'label': '3.32-9.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-9.0.2-4-8.3', 'r': 3, 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-9.0.2-4-8.3.1'}
96. total_label: 3.9-1.0.3-9-9.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[3,4,5]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3 = x (x^3-1)'], 'g0': 0, 'gen_vectors': [[3, 1, 2, 6, 4, 5, 9, 7, 8], [4, 5, 6, 7, 8, 9, 2, 3, 1], [7, 8, 9, 2, 3, 1, 5, 6, 4]], 'genus': 3, 'group': '[9,1]', 'group_order': 9, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2]], 'label': '3.9-1.0.3-9-9', 'ndim': 0, 'passport_label': '3.9-1.0.3-9-9.4', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.4.1'}
97. total_label: 3.14-2.0.2-7-14.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[2,6,10]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{7}+1'], 'g0': 0, 'gen_vectors': [[8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], [5, 6, 7, 1, 2, 3, 4, 12, 13, 14, 8, 9, 10, 11], [11, 12, 13, 14, 8, 9, 10, 4, 5, 6, 7, 1, 2, 3]], 'genus': 3, 'group': '[14,2]', 'group_order': 14, 'hyp_involution': [8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 4]], 'label': '3.14-2.0.2-7-14', 'ndim': 0, 'passport_label': '3.14-2.0.2-7-14.4', 'r': 3, 'signature': '[0,2,7,14]', 'topological': [1, 1], 'total_label': '3.14-2.0.2-7-14.4.1'}
98. total_label: 3.32-9.0.2-4-8.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[5,10,13]', 'cyclic_trigonal': False, 'dim': 0, 'eqn': ['y^2=x^{8}-1'], 'g0': 0, 'gen_vectors': [[9, 10, 11, 12, 14, 13, 16, 15, 1, 2, 3, 4, 6, 5, 8, 7, 25, 26, 27, 28, 30, 29, 32, 31, 17, 18, 19, 20, 22, 21, 24, 23], [20, 19, 18, 17, 23, 24, 21, 22, 32, 31, 30, 29, 28, 27, 26, 25, 2, 1, 4, 3, 5, 6, 7, 8, 14, 13, 16, 15, 10, 9, 12, 11], [26, 25, 28, 27, 30, 29, 32, 31, 21, 22, 23, 24, 18, 17, 20, 19, 12, 11, 10, 9, 16, 15, 14, 13, 7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 3, 'group': '[32,9]', 'group_order': 32, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6, 11, 12, 9, 10, 15, 16, 13, 14, 19, 20, 17, 18, 23, 24, 21, 22, 27, 28, 25, 26, 31, 32, 29, 30], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 6], [1, 2, 12]], 'label': '3.32-9.0.2-4-8', 'ndim': 0, 'passport_label': '3.32-9.0.2-4-8.4', 'r': 3, 'signature': '[0,2,4,8]', 'topological': [1, 1], 'total_label': '3.32-9.0.2-4-8.4.1'}
99. total_label: 3.48-33.0.2-3-12.4.1
    {'braid': [4, 1], 'cc': [4, 1], 'cinv': [9, 10, 15, 16, 11, 12, 13, 14, 17, 18, 23, 24, 19, 20, 21, 22, 1, 2, 7, 8, 3, 4, 5, 6, 33, 34, 39, 40, 35, 36, 37, 38, 41, 42, 47, 48, 43, 44, 45, 46, 25, 26, 31, 32, 27, 28, 29, 30], 'con': '[3,5,13]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^4 = x^3-1'], 'g0': 0, 'gen_vectors': [[27, 28, 26, 25, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 47, 48, 46, 45, 4, 3, 1, 2, 8, 7, 5, 6, 12, 11, 9, 10, 16, 15, 13, 14, 20, 19, 17, 18, 24, 23, 21, 22], [20, 19, 24, 23, 21, 22, 17, 18, 4, 3, 8, 7, 5, 6, 1, 2, 12, 11, 16, 15, 13, 14, 9, 10, 44, 43, 48, 47, 45, 46, 41, 42, 28, 27, 32, 31, 29, 30, 25, 26, 36, 35, 40, 39, 37, 38, 33, 34], [38, 37, 36, 35, 39, 40, 33, 34, 46, 45, 44, 43, 47, 48, 41, 42, 30, 29, 28, 27, 31, 32, 25, 26, 13, 14, 11, 12, 16, 15, 10, 9, 21, 22, 19, 20, 24, 23, 18, 17, 5, 6, 3, 4, 8, 7, 2, 1]], 'genus': 3, 'group': '[48,33]', 'group_order': 48, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [1, 2, 7]], 'label': '3.48-33.0.2-3-12', 'ndim': 0, 'passport_label': '3.48-33.0.2-3-12.4', 'r': 3, 'signature': '[0,2,3,12]', 'topological': [1, 1], 'total_label': '3.48-33.0.2-3-12.4.1'}