Number field data - 4.0.240737.1

Formats: - HTML - YAML - JSON - 2026-02-15T05:00:13.833003

• 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': True, 'coeffs': [239, 1, 28, -1, 1], 'conductor': 119, 'degree': 4, 'dirichlet_group': [1, 50, 13, 55], 'disc_abs': 240737, 'disc_rad': 119, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [0]], [11, [[4, 1]]], [13, [[2, 2]]], [17, [0]], [19, [[1, 4]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[1, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 3], 'galois_label': '4T1', 'galt': 1, 'grd': 22.150611040070693, 'index': 2, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.240737.1', 'local_algs': ['7.2.2.2a1.1', '17.1.4.3a1.3'], 'maximal_cm_subfield': [239, 1, 28, -1, 1], 'monogenic': -1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 2, 'ramps': [7, 17], 'rd': 22.1506110401, 'regulator': {'__RealLiteral__': 0, 'data': '4.18942509452', 'prec': 44}, 'relative_class_number': 2, 'res': {}, 'subfield_mults': [1], 'subfields': ['-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2}{19} a^{3} + \\frac{2}{19} a^{2} + \\frac{22}{19} a - \\frac{11}{19} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/38*a^3 - 9/19*a^2 - 4/19*a - 15/38']}