Number field data - 4.0.23479445.1

Formats: - HTML - YAML - JSON - 2025-12-31T03:42:50.636107

• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [12153, 344, -146, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 23479445, 'disc_rad': 10835, 'disc_sign': 1, 'frobs': [[2, [[4, 1]]], [3, [[2, 1], [1, 2]]], [5, [0]], [7, [[4, 1]]], [11, [0]], [13, [[4, 1]]], [17, [[4, 1]]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[2, 2]]], [31, [[1, 4]]], [37, [[2, 1], [1, 2]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[2, 1], [1, 2]]], [53, [[2, 1], [1, 2]]], [59, [[1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 104.09130607308182, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.0.23479445.1', 'local_algs': ['5.1.1.0a1.1', '5.1.1.0a1.1', '5.1.2.1a1.1', '11.1.2.1a1.1', '11.1.2.1a1.1', '197.2.2.2a1.1'], 'maximal_cm_subfield': [3, -1, 1], 'minimal_sibling': [-26755, 345, 49, -1, 1], 'monogenic': -1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 2, 'ramps': [5, 11, 197], 'rd': 69.6100517687, 'regulator': {'__RealLiteral__': 0, 'data': '152.65249156', 'prec': 40}, 'res': {'gal': ['89939305,6622395,2465936,30222,41129,36,254,-3,1'], 'sib': ['-26755,345,49,-1,1', '89939305,6622395,2465936,30222,41129,36,254,-3,1']}, 'subfield_mults': [1], 'subfields': ['3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1261333030098073710438555353871082}{2351} a^{3} + \\frac{6076497051331259887643668803078430}{2351} a^{2} - \\frac{201865387449186477179189795357233932}{2351} a - \\frac{1731815333078936690029323210501543889}{2351} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2351*a^3 - 50/2351*a^2 - 47/2351*a + 296/2351']}