Higher genus family - 7.4-2.0.2-2-2-2-2-2-2-2-2-2

Formats: - HTML - YAML - JSON - 2025-12-06T09:13:57.106873

• hgcwa_passports •

  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

  
  
  • id: 4668
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,2,2,2,2,2,2,3,3]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [2, 1, 4, 3], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 2], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.1', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.1.1'}
  • id: 4669
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,2,2,2,2,2,2,2,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [2, 1, 4, 3], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 2], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.2', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.2.1'}
  • id: 4670
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,2,2,2,2,2,3,3,3,3]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.3', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.3.1'}
  • id: 4671
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[2,2,2,2,2,2,3,3,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2], [1, 1, 3], [3, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 13, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.4', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [4, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.4.1'}
  • id: 4672
    {'braid': [5, 1], 'cc': [5, 1], 'con': '[2,2,2,2,2,2,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.5', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.5.1'}
  • id: 4673
    {'braid': [6, 1], 'cc': [6, 1], 'con': '[2,2,2,2,3,3,3,3,3,3]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [2, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.6', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.6.1'}
  • id: 4674
    {'braid': [7, 1], 'cc': [7, 1], 'con': '[2,2,2,2,3,3,3,3,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 2], [2, 1, 3], [3, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 12, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.7', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [7, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.7.1'}
  • id: 4675
    {'braid': [8, 1], 'cc': [8, 1], 'con': '[2,2,2,2,3,3,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2], [2, 1, 3], [2, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 12, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.8', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [7, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.8.1'}
  • id: 4676
    {'braid': [9, 1], 'cc': [9, 1], 'con': '[2,2,2,2,4,4,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [2, 1, 4, 3], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [2, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.9', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.9.1'}
  • id: 4677
    {'braid': [10, 1], 'cc': [10, 1], 'con': '[2,2,3,3,3,3,3,3,3,3]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [3, 4, 1, 2], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.10', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.10.1'}
  • id: 4678
    {'braid': [11, 1], 'cc': [11, 1], 'con': '[2,2,3,3,3,3,3,3,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [3, 1, 3], [3, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 13, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.11', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [4, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.11.1'}
  • id: 4679
    {'braid': [12, 1], 'cc': [12, 1], 'con': '[2,2,3,3,3,3,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 2], [3, 1, 3], [2, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 12, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.12', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [7, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.12.1'}
  • id: 4680
    {'braid': [13, 1], 'cc': [13, 1], 'con': '[2,2,3,3,4,4,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[3, 1, 2], [3, 1, 3], [1, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 13, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.13', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [4, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.13.1'}
  • id: 4681
    {'braid': [14, 1], 'cc': [14, 1], 'con': '[2,2,4,4,4,4,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3], [2, 1, 4, 3], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [4, 3, 2, 1], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.14', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.14.1'}
  • id: 4682
    {'braid': [15, 1], 'cc': [15, 1], 'con': '[3,3,3,3,3,3,3,3,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [3, 4, 1, 2], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 2], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.15', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.15.1'}
  • id: 4683
    {'braid': [16, 1], 'cc': [16, 1], 'con': '[3,3,3,3,3,3,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 2], [1, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.16', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.16.1'}
  • id: 4684
    {'braid': [17, 1], 'cc': [17, 1], 'con': '[3,3,3,3,4,4,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [2, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 14, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.17', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [3, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.17.1'}
  • id: 4685
    {'braid': [18, 1], 'cc': [18, 1], 'con': '[3,3,4,4,4,4,4,4,4,4]', 'cyclic_trigonal': False, 'dim': 7, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2], [3, 4, 1, 2], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1], [4, 3, 2, 1]], 'genus': 7, 'group': '[4,2]', 'group_order': 4, 'hyp_involution': [4, 3, 2, 1], 'hyperelliptic': True, 'jacobian_decomp': [[3, 1, 3], [4, 1, 4]], 'label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2', 'ndim': 16, 'passport_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.18', 'r': 10, 'signature': '[0,2,2,2,2,2,2,2,2,2,2]', 'topological': [1, 1], 'total_label': '7.4-2.0.2-2-2-2-2-2-2-2-2-2.18.1'}