Number field data - 4.2.20303.1

Formats: - HTML - YAML - JSON - 2025-12-04T16:42:07.102940

• 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': [-2, -3, 5, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 20303, 'disc_rad': 20303, 'disc_sign': -1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [[3, 1], [1, 1]]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[3, 1], [1, 1]]], [17, [[2, 1], [1, 2]]], [19, [[4, 1]]], [23, [[3, 1], [1, 1]]], [29, [[2, 1], [1, 2]]], [31, [[2, 2]]], [37, [[3, 1], [1, 1]]], [41, [[2, 2]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[3, 1], [1, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 142.4885960349108, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.20303.1', 'local_algs': ['79.2.1.0a1.1', '79.1.2.1a1.2', 'm257.1.2.0', 'm257.2.1.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 1, 'ramps': [79, 257], 'rd': 11.9368587172, 'regulator': {'__RealLiteral__': 0, 'data': '10.2199821345', 'prec': 44}, 'res': {'gal': ['4723324864,-16986939104,24489338836,-14495804695,-1520114260,7031013080,-3282759226,-464328378,1013866184,-306534256,-69317481,69067120,-11419976,-4505352,1994652,20996,-146372,10127,12244,-3232,-6,78,12,-8,1'], 'sib': ['-1,0,22,0,7,0,1', '145619,45520,-16311,-59142,31755,-3676,3009,-1582,469,-60,23,-6,1', '1563828,184451,-180224,-8618,4720,-496,170,-4,1', '61715,-1633,-1055,301,-13,-1,1', '8,112,-114,1131,-24,1385,852,222,148,-38,9,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a^{2} + 4 a + 1 \\)', '\\( a^{3} + 2 a^{2} - 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}