Number field data - 4.0.1070757761.1

Formats: - HTML - YAML - JSON - 2026-06-06T03:16:29.996437

• 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': [7], 'class_number': 7, 'cm': False, 'coeffs': [45881, -2501, 208, -1, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 1070757761, 'disc_rad': 46961, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 759.6488854507203, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.1070757761.1', 'local_algs': ['151.1.4.3a1.1', 'm311.1.1.0', 'm311.1.1.0', 'm311.2.1.1'], 'maximal_cm_subfield': [38, -1, 1], 'maxp': 311, 'monogenic': -1, 'narrow_class_group': [7], 'narrow_class_number': 7, 'num_ram': 2, 'r2': 2, 'ramps': [151, 311], 'rd': 180.893435847, 'regulator': {'__RealLiteral__': 0, 'data': '112.765293922', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['38.-1.1'], 'torsion_order': 2, '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': [], 'frobs': [[2, [[2, 2]]], [3, [[4, 1]]], [5, [[2, 2]]], [7, [[4, 1]]], [11, [[2, 1], [1, 2]]], [13, [[4, 1]]], [17, [[2, 1], [1, 2]]], [19, [[2, 1], [1, 2]]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[2, 1], [1, 2]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[4, 1]]], [59, [[2, 1], [1, 2]]]], 'label': '4.0.1070757761.1', 'res': {'gal': ['1631165168,213321444,-11730869,50468,196890,3704,728,-2,1'], 'sib': ['-152123,-378,379,-2,1', '1631165168,213321444,-11730869,50468,196890,3704,728,-2,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1933155247544740641910437}{4372} a^{3} - \\frac{3217442517315056151946581}{2186} a^{2} + \\frac{18607709710125484199751717}{2186} a - \\frac{10673261082021979689876840727}{4372} \\)'], 'zk': ['1', 'a', 'a^2', '1/4372*a^3 - 531/2186*a^2 - 493/2186*a - 1263/4372']}