Number field data - 4.4.122825.1

Formats: - HTML - YAML - JSON - 2026-02-15T04:59:13.785784

• 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': [86, 1, -23, -1, 1], 'conductor': 85, 'degree': 4, 'dirichlet_group': [64, 1, 4, 16], 'disc_abs': 122825, 'disc_rad': 85, 'disc_sign': 1, 'frobs': [[2, [[1, 4]]], [3, [[4, 1]]], [5, [0]], [7, [[4, 1]]], [11, [[4, 1]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[1, 4]]], [47, [[2, 2]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 3], 'galois_label': '4T1', 'galt': 1, 'grd': 18.720683165352195, 'index': 4, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.122825.1', 'local_algs': ['5.2.2.2a1.1', '17.1.4.3a1.3'], 'monogenic': -1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [5, 17], 'rd': 18.7206831654, 'regulator': {'__RealLiteral__': 0, 'data': '61.2253005252', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{3} - \\frac{1}{2} a^{2} - \\frac{13}{4} a - \\frac{3}{2} \\)', '\\( \\frac{1}{2} a^{3} - 2 a^{2} - \\frac{11}{2} a + 16 \\)', '\\( \\frac{1}{2} a^{3} - a^{2} - \\frac{17}{2} a + 6 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/8*a^3 - 1/4*a^2 + 3/8*a - 1/4']}