Number field data - 4.0.5056.1

Formats: - HTML - YAML - JSON - 2025-12-04T18:51:43.124507

• 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': [6, -4, 1, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 5056, 'disc_rad': 158, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 1], [1, 1]]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[4, 1]]], [13, [[3, 1], [1, 1]]], [17, [[4, 1]]], [19, [[4, 1]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[4, 1]]], [37, [[2, 1], [1, 2]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[3, 1], [1, 1]]], [53, [[4, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 35.552777669262355, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.5056.1', 'local_algs': ['2.1.2.3a1.2', '2.1.2.3a1.4', '79.2.1.0a1.1', '79.1.2.1a1.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 79], 'rd': 8.43241100389, 'regulator': {'__RealLiteral__': 0, 'data': '5.93141729959', 'prec': 44}, 'res': {'gal': ['16,0,560,0,-1164,0,-4120,0,19288,0,-28080,0,23385,0,-12100,0,3791,0,-520,0,-53,0,20,0,1'], 'sib': ['-108,-180,42,284,186,-158,-225,34,127,22,-19,-2,1', '-4,0,1,0,4,0,1', '-79,0,-39,0,9,0,1', '2,4,22,0,77,8,94,8,12,-4,-8,0,1', '2625,100,170,132,18,-4,10,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a^{3} + 2 a^{2} + 4 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}