Number field data - 4.0.29241.1

Formats: - HTML - YAML - JSON - 2026-10-12T19:28:03.453311

• 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': [4], 'class_number': 4, 'cm': False, 'coeffs': [20, 1, 3, -1, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 29241, 'disc_rad': 57, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 6], 'galois_label': '4T4', 'galt': 4, 'grd': 18.859860385004858, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.29241.1', 'local_algs': ['3.1.1.0a1.1', '3.1.3.4a2.1', '19.1.2.1a1.2', '19.1.2.1a1.2'], 'maxp': 19, 'monogenic': -1, 'narrow_class_group': [4], 'narrow_class_number': 4, 'num_ram': 2, 'r2': 2, 'ramps': [3, 19], 'rd': 13.0766968306, 'regulator': {'__RealLiteral__': 0, 'data': '3.40952909212', 'prec': 40}, 'subfield_mults': [], 'subfields': [], '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, [[3, 1], [1, 1]]], [3, [0]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[3, 1], [1, 1]]], [17, [[2, 2]]], [19, [0]], [23, [[3, 1], [1, 1]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[2, 2]]], [41, [[3, 1], [1, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 2]]], [59, [[3, 1], [1, 1]]]], 'label': '4.0.29241.1', 'res': {'gal': ['327,-297,-129,20,72,-27,14,39,21,-11,-6,0,1'], 'sib': ['-9,-18,-18,-10,-3,0,1', '327,-297,-129,20,72,-27,14,39,21,-11,-6,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{4} a^{3} - \\frac{1}{4} a - 2 \\)'], 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/4*a^3 - 1/4*a']}