Number field data - 4.0.45125.1

Formats: - HTML - YAML - JSON - 2026-09-15T13:31:42.999157

• 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': [8], 'class_number': 8, 'cm': False, 'coeffs': [26, -3, 4, -2, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 45125, 'disc_rad': 95, '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': 14.574857044323968, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.0.45125.1', 'local_algs': ['5.1.4.3a1.1', '19.2.2.2a1.2'], 'maximal_cm_subfield': [24, -1, 1], 'maxp': 19, 'minimal_sibling': [-4, -6, 1, -1, 1], 'monogenic': -1, 'narrow_class_group': [8], 'narrow_class_number': 8, 'num_ram': 2, 'r2': 2, 'ramps': [5, 19], 'rd': 14.5748570443, 'regulator': {'__RealLiteral__': 0, 'data': '3.98553799139', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['24.-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, 1], [1, 2]]], [3, [[2, 1], [1, 2]]], [5, [0]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[2, 1], [1, 2]]], [17, [[4, 1]]], [19, [0]], [23, [[4, 1]]], [29, [[2, 2]]], [31, [[2, 2]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[4, 1]]], [53, [[2, 1], [1, 2]]], [59, [[2, 2]]]], 'label': '4.0.45125.1', 'res': {'gal': ['80,20,-15,35,6,-1,6,-1,1'], 'sib': ['-4,-6,1,-1,1', '80,20,-15,35,6,-1,6,-1,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{3} a^{3} + \\frac{1}{3} a - \\frac{7}{3} \\)'], 'zk': ['1', 'a', 'a^2', '1/9*a^3 + 1/3*a^2 + 1/9*a + 2/9']}