Higher genus family - 5.8-2.0.2-2-2-4-4

Formats: - HTML - YAML - JSON - 2024-05-19T03:35:14.438924

• 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: 1150
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[2,2,3,5,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [5, 6, 7, 8, 2, 1, 4, 3], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 3], [3, 1, 4]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.1', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [1, 1], 'total_label': '5.8-2.0.2-2-2-4-4.1.1'}
  • id: 1192
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[2,2,3,6,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [6, 5, 8, 7, 1, 2, 3, 4], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 3], [3, 1, 4]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.2', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [1, 1], 'total_label': '5.8-2.0.2-2-2-4-4.2.1'}
  • id: 1224
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[2,2,4,5,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 3], [3, 1, 4]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.3', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [1, 1], 'total_label': '5.8-2.0.2-2-2-4-4.3.1'}
  • id: 1237
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[2,2,4,6,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [6, 5, 8, 7, 1, 2, 3, 4], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [2, 1, 4, 3, 6, 5, 8, 7], 'hyperelliptic': True, 'jacobian_decomp': [[2, 1, 3], [3, 1, 4]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.4', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [1, 1], 'total_label': '5.8-2.0.2-2-2-4-4.4.1'}
  • id: 1241
    {'braid': [5, 1], 'cc': [5, 1], 'con': '[2,3,3,5,5]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [5, 6, 7, 8, 2, 1, 4, 3], [5, 6, 7, 8, 2, 1, 4, 3]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.5', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.5.1'}
  • id: 1245
    {'braid': [6, 1], 'cc': [6, 1], 'con': '[2,3,3,6,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [6, 5, 8, 7, 1, 2, 3, 4], [6, 5, 8, 7, 1, 2, 3, 4]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.6', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.6.1'}
  • id: 1249
    {'braid': [7, 1], 'cc': [7, 1], 'con': '[2,3,3,7,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [7, 8, 5, 6, 4, 3, 2, 1], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.7', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.7.1'}
  • id: 1253
    {'braid': [8, 1], 'cc': [8, 1], 'con': '[2,3,3,8,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [8, 7, 6, 5, 3, 4, 1, 2], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.8', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.8.1'}
  • id: 1257
    {'braid': [9, 1], 'cc': [9, 1], 'con': '[2,3,4,5,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [6, 5, 8, 7, 1, 2, 3, 4]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 3], [2, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.9', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [9, 1], 'total_label': '5.8-2.0.2-2-2-4-4.9.1'}
  • id: 1261
    {'braid': [10, 1], 'cc': [10, 1], 'con': '[2,3,4,7,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [7, 8, 5, 6, 4, 3, 2, 1], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[2, 1, 3], [2, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.10', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [9, 1], 'total_label': '5.8-2.0.2-2-2-4-4.10.1'}
  • id: 1263
    {'braid': [11, 1], 'cc': [11, 1], 'con': '[2,4,4,5,5]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [5, 6, 7, 8, 2, 1, 4, 3]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.11', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.11.1'}
  • id: 1265
    {'braid': [12, 1], 'cc': [12, 1], 'con': '[2,4,4,6,6]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [6, 5, 8, 7, 1, 2, 3, 4], [6, 5, 8, 7, 1, 2, 3, 4]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.12', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.12.1'}
  • id: 1267
    {'braid': [13, 1], 'cc': [13, 1], 'con': '[2,4,4,7,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [7, 8, 5, 6, 4, 3, 2, 1], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.13', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.13.1'}
  • id: 1269
    {'braid': [14, 1], 'cc': [14, 1], 'con': '[2,4,4,8,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[2, 1, 4, 3, 6, 5, 8, 7], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [8, 7, 6, 5, 3, 4, 1, 2], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.14', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [5, 1], 'total_label': '5.8-2.0.2-2-2-4-4.14.1'}
  • id: 1271
    {'braid': [15, 1], 'cc': [15, 1], 'con': '[3,3,3,5,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': ['y^2=x^{12}+a_{1}x^{8}+a_{2}x^{4}+1'], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [5, 6, 7, 8, 2, 1, 4, 3], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 4, 'passport_label': '5.8-2.0.2-2-2-4-4.15', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [15, 1], 'total_label': '5.8-2.0.2-2-2-4-4.15.1'}
  • id: 1273
    {'braid': [16, 1], 'cc': [16, 1], 'con': '[3,3,3,6,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': ['y^2=x^{12}+a_{1}x^{8}+a_{2}x^{4}+1'], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [6, 5, 8, 7, 1, 2, 3, 4], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [3, 4, 1, 2, 7, 8, 5, 6], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 4, 'passport_label': '5.8-2.0.2-2-2-4-4.16', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [15, 1], 'total_label': '5.8-2.0.2-2-2-4-4.16.1'}
  • id: 1275
    {'braid': [17, 1], 'cc': [17, 1], 'con': '[3,3,4,5,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [2, 1, 3], [1, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.17', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [17, 1], 'total_label': '5.8-2.0.2-2-2-4-4.17.1'}
  • id: 1277
    {'braid': [18, 1], 'cc': [18, 1], 'con': '[3,3,4,6,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [6, 5, 8, 7, 1, 2, 3, 4], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [2, 1, 3], [1, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.18', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [17, 1], 'total_label': '5.8-2.0.2-2-2-4-4.18.1'}
  • id: 1279
    {'braid': [19, 1], 'cc': [19, 1], 'con': '[3,4,4,5,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 3], [2, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.19', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [17, 1], 'total_label': '5.8-2.0.2-2-2-4-4.19.1'}
  • id: 1281
    {'braid': [20, 1], 'cc': [20, 1], 'con': '[3,4,4,6,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': [], 'g0': 0, 'gen_vectors': [[3, 4, 1, 2, 7, 8, 5, 6], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [6, 5, 8, 7, 1, 2, 3, 4], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 2], [1, 1, 3], [2, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 3, 'passport_label': '5.8-2.0.2-2-2-4-4.20', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [17, 1], 'total_label': '5.8-2.0.2-2-2-4-4.20.1'}
  • id: 1283
    {'braid': [21, 1], 'cc': [21, 1], 'con': '[4,4,4,5,7]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': ['y^2=x^{12}+a_{1}x^{8}+a_{2}x^{4}+1'], 'g0': 0, 'gen_vectors': [[4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [5, 6, 7, 8, 2, 1, 4, 3], [7, 8, 5, 6, 4, 3, 2, 1]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [4, 3, 2, 1, 8, 7, 6, 5], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 4, 'passport_label': '5.8-2.0.2-2-2-4-4.21', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [15, 1], 'total_label': '5.8-2.0.2-2-2-4-4.21.1'}
  • id: 1285
    {'braid': [22, 1], 'cc': [22, 1], 'con': '[4,4,4,6,8]', 'cyclic_trigonal': False, 'dim': 2, 'eqn': ['y^2=x^{12}+a_{1}x^{8}+a_{2}x^{4}+1'], 'g0': 0, 'gen_vectors': [[4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [4, 3, 2, 1, 8, 7, 6, 5], [6, 5, 8, 7, 1, 2, 3, 4], [8, 7, 6, 5, 3, 4, 1, 2]], 'genus': 5, 'group': '[8,2]', 'group_order': 8, 'hyp_involution': [4, 3, 2, 1, 8, 7, 6, 5], 'hyperelliptic': True, 'jacobian_decomp': [[1, 1, 2], [3, 1, 4], [1, 1, 6]], 'label': '5.8-2.0.2-2-2-4-4', 'ndim': 4, 'passport_label': '5.8-2.0.2-2-2-4-4.22', 'r': 5, 'signature': '[0,2,2,2,4,4]', 'topological': [15, 1], 'total_label': '5.8-2.0.2-2-2-4-4.22.1'}