Belyi map data - 3T1-3_3_1.1.1-a

Formats: - HTML - YAML - JSON - 2026-07-28T23:00:48.737628

• belyi_galmaps •

  Column	Type
  BelyiDB_label	text
  BelyiDB_plabel	text
  a_s	smallint
  abc	smallint[]
  aut_group	jsonb
  b_s	smallint
  base_field	numeric[]
  base_field_label	text
  c_s	smallint
  curve	text
  curve_label	text
  deg	smallint
  embeddings	jsonb
  friends	text[]
  g	smallint
  geomtype	text
  group	text
  group_num	smallint
  is_primitive	boolean
  label	text
  lambdas	jsonb
  map	text
  models	jsonb
  moduli_field	numeric[]
  moduli_field_label	text
  orbit_size	smallint
  pass_size	smallint
  plabel	text
  plane_constant	text
  plane_map_constant_factored	text
  plane_model	text
  plane_model_latex	text
  primitivization	text
  specializations	jsonb
  triples	jsonb
  triples_cyc	jsonb

  
  {'BelyiDB_label': '3T1-[3,3,1]-3-3-111-g0-a', 'BelyiDB_plabel': '3T1-[3,3,1]-3-3-111-g0', 'a_s': 1, 'abc': [3, 3, 1], 'aut_group': [[2, 3, 1]], 'b_s': 3, 'base_field': [-1, 1], 'base_field_label': '1.1.1.1', 'c_s': 3, 'curve': 'PP1', 'deg': 3, 'embeddings': [[1.0, 0.0]], 'friends': [], 'g': 0, 'geomtype': 'S', 'group': '3T1', 'group_num': 1, 'is_primitive': True, 'label': '3T1-3_3_1.1.1-a', 'lambdas': [[3], [3], [1, 1, 1]], 'map': '-1/(x^3-1)', 'orbit_size': 1, 'pass_size': 1, 'plabel': '3T1-3_3_1.1.1', 'plane_constant': '1', 'plane_map_constant_factored': '', 'plane_model': 't + x^3', 'primitivization': '3T1-3_3_1.1.1-a', 'triples': [[[2, 3, 1], [3, 1, 2], [1, 2, 3]]], 'triples_cyc': [['(1,2,3)', '(1,3,2)', '()']]}
• belyi_passports •

  Column	Type
  BelyiDB_plabel	text
  a_s	smallint
  abc	smallint[]
  aut_group	jsonb
  b_s	smallint
  c_s	smallint
  deg	smallint
  g	smallint
  geomtype	text
  group	text
  group_num	smallint
  is_primitive	boolean
  lambdas	jsonb
  maxdegbf	smallint
  num_orbits	smallint
  pass_size	smallint
  plabel	text
  primitivization	text
  triples	jsonb

  
  {'BelyiDB_plabel': '3T1-[3,3,1]-3-3-111-g0', 'a_s': 1, 'abc': [3, 3, 1], 'aut_group': [[2, 3, 1]], 'b_s': 3, 'c_s': 3, 'deg': 3, 'g': 0, 'geomtype': 'S', 'group': '3T1', 'group_num': 1, 'is_primitive': True, 'lambdas': [[3], [3], [1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '3T1-3_3_1.1.1', 'primitivization': '3T1-3_3_1.1.1', 'triples': [[[2, 3, 1], [3, 1, 2], [1, 2, 3]]]}
• label 3T1-3_3_1.1.1-a does not appear in belyi_galmap_portraits