Higher genus family - 3.9-1.0.3-9-9

Formats: - HTML - YAML - JSON - 2025-12-05T11:22:29.878844

• 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: 40
    {'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'}
  • id: 63
    {'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'}
  • id: 84
    {'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'}
  • id: 97
    {'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'}
  • id: 110
    {'braid': [5, 1], 'cc': [5, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[3,6,9]', '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], [5, 6, 4, 8, 9, 7, 3, 1, 2], [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': '3.9-1.0.3-9-9.5', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.5.1'}
  • id: 117
    {'braid': [6, 1], 'cc': [6, 1], 'cinv': [2, 3, 1, 5, 6, 4, 8, 9, 7], 'con': '[3,7,8]', '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], [8, 9, 7, 3, 1, 2, 6, 4, 5], [6, 4, 5, 9, 7, 8, 1, 2, 3]], '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': '3.9-1.0.3-9-9.6', 'r': 3, 'signature': '[0,3,9,9]', 'topological': [1, 1], 'total_label': '3.9-1.0.3-9-9.6.1'}