Number field data - 3.1.72200.2

Formats: - HTML - YAML - JSON - 2026-05-02T09:39:24.949345

• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [-88, 32, -1, 1], 'conductor': 0, 'degree': 3, 'disc_abs': 72200, 'disc_rad': 190, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 4, 4], 'galois_label': '3T2', 'galt': 2, 'grd': 58.888080312522455, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '3.1.72200.2', 'local_algs': ['2.1.1.0a1.1', '2.1.2.3a1.1', '5.1.3.2a1.1', '19.1.3.2a1.3'], 'monogenic': -1, 'narrow_class_group': [3], 'narrow_class_number': 3, 'num_ram': 3, 'r2': 1, 'ramps': [2, 5, 19], 'rd': 41.64016092, 'regulator': {'__RealLiteral__': 0, 'data': '24.0507076661', 'prec': 44}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 1, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[3, 1]]], [5, [0]], [7, [[2, 1], [1, 1]]], [11, [[1, 3]]], [13, [[2, 1], [1, 1]]], [17, [[3, 1]]], [19, [0]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[2, 1], [1, 1]]], [37, [[2, 1], [1, 1]]], [41, [[1, 3]]], [43, [[1, 3]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[3, 1]]]], 'label': '3.1.72200.2', 'res': {'gal': ['9196,-4712,1216,-248,71,-2,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1043}{2} a^{2} - \\frac{50995}{2} a + 59793 \\)'], 'unitsGmodule': [[4, 1]], 'zk': ['1', 'a', '1/2*a^2 - 1/2*a']}