Number field data - 4.0.1413.1

Formats: - HTML - YAML - JSON - 2026-01-06T10:28:46.208133

• 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
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [9, -3, 7, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 1413, 'disc_rad': 471, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[2, 2]]], [13, [[1, 4]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 21.702534414210707, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.1413.1', 'local_algs': ['3.1.2.1a1.1', '3.1.2.1a1.1', '157.1.1.0a1.1', '157.1.1.0a1.1', '157.1.2.1a1.1'], 'maximal_cm_subfield': [1, -1, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [3, 157], 'rd': 6.13105963586, 'regulator': {'__RealLiteral__': 0, 'data': '3.89262683935', 'prec': 44}, 'res': {'gal': ['729,0,-189,0,76,0,7,0,1'], 'sib': ['-27,0,-7,0,1', '729,0,-189,0,76,0,7,0,1']}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( -\\frac{1}{3} a^{3} + \\frac{1}{3} a^{2} - \\frac{4}{3} a + 1 \\)', 'torsion_order': 6, 'units': ['\\( a^{3} - a^{2} + 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/3*a^3 - 1/3*a^2 + 1/3*a']}