Higher genus passport - 6.12-4.0.2-2-2-2-6.3

Formats: - HTML - YAML - JSON - 2025-07-15T22:15:01.321783

• 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: 2015
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.1'}
  • id: 2016
    {'braid': [3, 1], 'cc': [3, 2], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.2'}
  • id: 2017
    {'braid': [3, 1], 'cc': [3, 3], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [11, 10, 12, 8, 7, 9, 5, 4, 6, 2, 1, 3], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.3'}
  • id: 2018
    {'braid': [3, 1], 'cc': [3, 4], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.4'}
  • id: 2019
    {'braid': [3, 1], 'cc': [3, 5], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.5'}
  • id: 2020
    {'braid': [3, 1], 'cc': [3, 6], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.6'}
  • id: 2021
    {'braid': [3, 1], 'cc': [3, 7], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [11, 10, 12, 8, 7, 9, 5, 4, 6, 2, 1, 3], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.7'}
  • id: 2022
    {'braid': [3, 1], 'cc': [3, 8], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [11, 10, 12, 8, 7, 9, 5, 4, 6, 2, 1, 3], [10, 12, 11, 7, 9, 8, 4, 6, 5, 1, 3, 2], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.8'}
  • id: 2023
    {'braid': [3, 1], 'cc': [3, 9], 'con': '[3,4,4,4,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 9, 8, 10, 12, 11, 1, 3, 2, 4, 6, 5], [12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], [11, 10, 12, 8, 7, 9, 5, 4, 6, 2, 1, 3], [11, 10, 12, 8, 7, 9, 5, 4, 6, 2, 1, 3], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 6, 'group': '[12,4]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 4], [1, 2, 5], [1, 2, 6]], 'label': '6.12-4.0.2-2-2-2-6', 'ndim': 4, 'passport_label': '6.12-4.0.2-2-2-2-6.3', 'r': 5, 'signature': '[0,2,2,2,2,6]', 'topological': [2, 1], 'total_label': '6.12-4.0.2-2-2-2-6.3.9'}