Higher genus family - 3.48-33.0.2-3-12

Formats: - HTML - YAML - JSON - 2025-12-16T18:39:13.330839

• 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: 45
    {'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'}
  • id: 68
    {'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'}
  • id: 88
    {'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'}
  • id: 101
    {'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'}