Number field data - 4.4.190125.1

Formats: - HTML - YAML - JSON - 2026-02-15T04:59:43.828213

• 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
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  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

  
  {'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [451, 49, -49, -1, 1], 'conductor': 195, 'degree': 4, 'dirichlet_group': [1, 77, 38, 79], 'disc_abs': 190125, 'disc_rad': 195, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [0]], [7, [[4, 1]]], [11, [[1, 4]]], [13, [0]], [17, [[4, 1]]], [19, [[1, 4]]], [23, [[4, 1]]], [29, [[1, 4]]], [31, [[2, 2]]], [37, [[4, 1]]], [41, [[1, 4]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[4, 1]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 3, 2], 'galois_label': '4T1', 'galt': 1, 'grd': 20.88140933013045, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.190125.1', 'local_algs': ['3.2.2.2a1.1', '5.1.4.3a1.1', '13.2.2.2a1.1'], 'monogenic': -1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 0, 'ramps': [3, 5, 13], 'rd': 20.8814093301, 'regulator': {'__RealLiteral__': 0, 'data': '12.0903797544', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{71} a^{3} + \\frac{9}{71} a^{2} - \\frac{30}{71} a - \\frac{251}{71} \\)', '\\( \\frac{17}{71} a^{3} + \\frac{82}{71} a^{2} - \\frac{368}{71} a - \\frac{1356}{71} \\)', '\\( \\frac{25}{71} a^{3} + \\frac{83}{71} a^{2} - \\frac{821}{71} a - \\frac{2441}{71} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/71*a^3 + 9/71*a^2 - 30/71*a + 33/71']}