Higher genus family - 4.12-5.0.2-2-3-6

Formats: - HTML - YAML - JSON - 2026-02-15T14:18:57.053316

• 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: 544
    {'braid': [1, 1], 'cc': [1, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[2,3,5,12]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], [12, 10, 11, 9, 7, 8, 6, 4, 5, 3, 1, 2]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.1', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.1.1'}
  • id: 601
    {'braid': [2, 1], 'cc': [2, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[2,3,6,11]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [3, 1, 2, 6, 4, 5, 9, 7, 8, 12, 10, 11], [11, 12, 10, 8, 9, 7, 5, 6, 4, 2, 3, 1]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.2', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.2.1'}
  • id: 616
    {'braid': [3, 1], 'cc': [3, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[2,4,5,10]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], [9, 7, 8, 12, 10, 11, 3, 1, 2, 6, 4, 5]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.3', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.3.1'}
  • id: 626
    {'braid': [4, 1], 'cc': [4, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[2,4,6,9]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[4, 5, 6, 1, 2, 3, 10, 11, 12, 7, 8, 9], [10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [3, 1, 2, 6, 4, 5, 9, 7, 8, 12, 10, 11], [8, 9, 7, 11, 12, 10, 2, 3, 1, 5, 6, 4]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.4', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.4.1'}
  • id: 631
    {'braid': [5, 1], 'cc': [5, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[3,4,5,8]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], [6, 4, 5, 3, 1, 2, 12, 10, 11, 9, 7, 8]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.5', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.5.1'}
  • id: 636
    {'braid': [6, 1], 'cc': [6, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7, 11, 12, 10], 'con': '[3,4,6,7]', 'cyclic_trigonal': True, 'dim': 1, 'eqn': [], 'g0': 0, 'gen_vectors': [[7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6], [10, 11, 12, 7, 8, 9, 4, 5, 6, 1, 2, 3], [3, 1, 2, 6, 4, 5, 9, 7, 8, 12, 10, 11], [5, 6, 4, 2, 3, 1, 11, 12, 10, 8, 9, 7]], 'genus': 4, 'group': '[12,5]', 'group_order': 12, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 6], [1, 1, 7], [2, 1, 8]], 'label': '4.12-5.0.2-2-3-6', 'ndim': 1, 'passport_label': '4.12-5.0.2-2-3-6.6', 'r': 4, 'signature': '[0,2,2,3,6]', 'topological': [1, 1], 'total_label': '4.12-5.0.2-2-3-6.6.1'}