Number field data - 6.0.16807.1

Formats: - HTML - YAML - JSON - 2026-05-16T08:46:33.803331

• 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[]
  maxp	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': [], 'class_number': 1, 'cm': True, 'coeffs': [1, -1, 1, -1, 1, -1, 1], 'conductor': 7, 'degree': 6, 'disc_abs': 16807, 'disc_rad': 7, 'disc_sign': -1, 'embeddings_gen_imag': [0.7818314824680298, 0.9749279121818236, 0.4338837391175581], 'embeddings_gen_real': [-0.6234898018587335, 0.2225209339563144, 0.9009688679024191], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [5], 'galois_label': '6T1', 'galt': 1, 'grd': 5.061140184796386, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.16807.1', 'local_algs': ['7.1.6.5a1.1'], 'maximal_cm_subfield': [1, -1, 1, -1, 1, -1, 1], 'maxp': 7, 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 3, 'ramps': [7], 'rd': 5.0611401848, 'regulator': {'__RealLiteral__': 0, 'data': '2.10181872849', 'prec': 44}, 'relative_class_number': 1, 'subfield_mults': [1, 1], 'subfields': ['2.-1.1', '1.-2.-1.1'], 'torsion_order': 14, 'unit_signature_rank': 0, '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': [1, 2, 3, 4, 5, 6], 'frobs': [[2, [[3, 2]]], [3, [[6, 1]]], [5, [[6, 1]]], [7, [0]], [11, [[3, 2]]], [13, [[2, 3]]], [17, [[6, 1]]], [19, [[6, 1]]], [23, [[3, 2]]], [29, [[1, 6]]], [31, [[6, 1]]], [37, [[3, 2]]], [41, [[2, 3]]], [43, [[1, 6]]], [47, [[6, 1]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'label': '6.0.16807.1', 'res': {'sex': ['1,-2,-1,1', '2,-1,1', '0,1']}, 'torsion_gen': '\\( a \\)', 'units': ['\\( a - 1 \\)', '\\( a^{4} - a \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}