Higher genus family - 5.30-2.0.2-6-15

Formats: - HTML - YAML - JSON - 2024-05-03T08:09:23.285685

• 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: 776
    {'braid': [1, 1], 'cc': [1, 1], 'cinv': [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 16, 17, 18, 19, 20], 'con': '[2,7,10]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3=(x^5-1)x^2'], 'g0': 0, 'gen_vectors': [[16, 20, 19, 18, 17, 21, 25, 24, 23, 22, 26, 30, 29, 28, 27, 1, 5, 4, 3, 2, 6, 10, 9, 8, 7, 11, 15, 14, 13, 12], [23, 22, 21, 25, 24, 28, 27, 26, 30, 29, 18, 17, 16, 20, 19, 8, 7, 6, 10, 9, 13, 12, 11, 15, 14, 3, 2, 1, 5, 4], [14, 15, 11, 12, 13, 4, 5, 1, 2, 3, 9, 10, 6, 7, 8, 29, 30, 26, 27, 28, 19, 20, 16, 17, 18, 24, 25, 21, 22, 23]], 'genus': 5, 'group': '[30,2]', 'group_order': 30, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [2, 2, 9]], 'label': '5.30-2.0.2-6-15', 'ndim': 0, 'passport_label': '5.30-2.0.2-6-15.1', 'r': 3, 'signature': '[0,2,6,15]', 'topological': [1, 1], 'total_label': '5.30-2.0.2-6-15.1.1'}
  • id: 806
    {'braid': [2, 1], 'cc': [2, 1], 'cinv': [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 16, 17, 18, 19, 20], 'con': '[2,7,12]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3=(x^5-1)x^2'], 'g0': 0, 'gen_vectors': [[16, 20, 19, 18, 17, 21, 25, 24, 23, 22, 26, 30, 29, 28, 27, 1, 5, 4, 3, 2, 6, 10, 9, 8, 7, 11, 15, 14, 13, 12], [25, 24, 23, 22, 21, 30, 29, 28, 27, 26, 20, 19, 18, 17, 16, 10, 9, 8, 7, 6, 15, 14, 13, 12, 11, 5, 4, 3, 2, 1], [12, 13, 14, 15, 11, 2, 3, 4, 5, 1, 7, 8, 9, 10, 6, 27, 28, 29, 30, 26, 17, 18, 19, 20, 16, 22, 23, 24, 25, 21]], 'genus': 5, 'group': '[30,2]', 'group_order': 30, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [2, 2, 9]], 'label': '5.30-2.0.2-6-15', 'ndim': 0, 'passport_label': '5.30-2.0.2-6-15.2', 'r': 3, 'signature': '[0,2,6,15]', 'topological': [1, 1], 'total_label': '5.30-2.0.2-6-15.2.1'}
  • id: 835
    {'braid': [3, 1], 'cc': [3, 1], 'cinv': [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 16, 17, 18, 19, 20], 'con': '[2,8,9]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3=(x^5-1)x^2'], 'g0': 0, 'gen_vectors': [[16, 20, 19, 18, 17, 21, 25, 24, 23, 22, 26, 30, 29, 28, 27, 1, 5, 4, 3, 2, 6, 10, 9, 8, 7, 11, 15, 14, 13, 12], [30, 29, 28, 27, 26, 20, 19, 18, 17, 16, 25, 24, 23, 22, 21, 15, 14, 13, 12, 11, 5, 4, 3, 2, 1, 10, 9, 8, 7, 6], [7, 8, 9, 10, 6, 12, 13, 14, 15, 11, 2, 3, 4, 5, 1, 22, 23, 24, 25, 21, 27, 28, 29, 30, 26, 17, 18, 19, 20, 16]], 'genus': 5, 'group': '[30,2]', 'group_order': 30, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [2, 2, 9]], 'label': '5.30-2.0.2-6-15', 'ndim': 0, 'passport_label': '5.30-2.0.2-6-15.3', 'r': 3, 'signature': '[0,2,6,15]', 'topological': [1, 1], 'total_label': '5.30-2.0.2-6-15.3.1'}
  • id: 858
    {'braid': [4, 1], 'cc': [4, 1], 'cinv': [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 16, 17, 18, 19, 20], 'con': '[2,8,11]', 'cyclic_trigonal': True, 'dim': 0, 'eqn': ['y^3=(x^5-1)x^2'], 'g0': 0, 'gen_vectors': [[16, 20, 19, 18, 17, 21, 25, 24, 23, 22, 26, 30, 29, 28, 27, 1, 5, 4, 3, 2, 6, 10, 9, 8, 7, 11, 15, 14, 13, 12], [28, 27, 26, 30, 29, 18, 17, 16, 20, 19, 23, 22, 21, 25, 24, 13, 12, 11, 15, 14, 3, 2, 1, 5, 4, 8, 7, 6, 10, 9], [9, 10, 6, 7, 8, 14, 15, 11, 12, 13, 4, 5, 1, 2, 3, 24, 25, 21, 22, 23, 29, 30, 26, 27, 28, 19, 20, 16, 17, 18]], 'genus': 5, 'group': '[30,2]', 'group_order': 30, 'hyperelliptic': False, 'jacobian_decomp': [[1, 1, 3], [2, 2, 9]], 'label': '5.30-2.0.2-6-15', 'ndim': 0, 'passport_label': '5.30-2.0.2-6-15.4', 'r': 3, 'signature': '[0,2,6,15]', 'topological': [1, 1], 'total_label': '5.30-2.0.2-6-15.4.1'}