Number field data - 8.2.36264691.2

Formats: - HTML - YAML - JSON - 2024-05-03T04:10:31.219092

• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	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': [-1, -1, 0, 3, -3, -1, 5, -4, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 36264691, 'disc_rad': 331, 'disc_sign': -1, 'frobs': [[2, [[8, 1]]], [3, [[8, 1]]], [5, [[3, 2], [1, 2]]], [7, [[8, 1]]], [11, [[8, 1]]], [13, [[2, 3], [1, 2]]], [17, [[6, 1], [2, 1]]], [19, [[6, 1], [2, 1]]], [23, [[2, 3], [1, 2]]], [29, [[8, 1]]], [31, [[6, 1], [2, 1]]], [37, [[8, 1]]], [41, [[8, 1]]], [43, [[3, 2], [1, 2]]], [47, [[2, 3], [1, 2]]], [53, [[3, 2], [1, 2]]], [59, [[2, 3], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24], 'galois_label': '8T23', 'galt': 23, 'grd': 18.193405398660254, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.2.36264691.2', 'local_algs': ['m331.1.2.0', 'm331.2.1.1', 'm331.2.2.2'], 'monogenic': 1, 'num_ram': 1, 'r2': 3, 'ramps': [331], 'rd': 8.80918027485, 'regulator': {'__RealLiteral__': 0, 'data': '3.68334441406', 'prec': 44}, 'res': {'ae': ['-1,11,-17,17,-7,0,3,-2,1'], 'sib': ['-1,-5,-8,13,-6,63,-133,178,-310,466,-533,582,-594,507,-384,278,-177,87,-29,4,5,-7,5,-3,1', '1,11,122,201,357,252,304,-10,146,-91,101,-110,68,-40,16,-4,1']}, 'subfield_mults': [1], 'subfields': ['-1.1.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - a \\)', '\\( a - 1 \\)', '\\( a^{4} - 2 a^{3} + a^{2} - 1 \\)', '\\( a^{7} - 4 a^{6} + 6 a^{5} - 4 a^{4} + 3 a^{2} - 3 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}