Number field data - 8.8.116507435287321.1

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• 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
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [1, -54, 392, 1276, 863, -16, -67, -3, 1], 'conductor': 0, 'degree': 8, 'disc_abs': 116507435287321, 'disc_rad': 221, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6], 'galois_label': '8T5', 'galt': 5, 'grd': 57.318419318377835, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.8.116507435287321.1', 'local_algs': ['13.1.4.3a1.3', '13.1.4.3a1.3', '17.1.4.3a1.3', '17.1.4.3a1.3'], 'monogenic': 0, 'narrow_class_group': [2, 2, 2], 'narrow_class_number': 8, 'num_ram': 2, 'r2': 0, 'ramps': [13, 17], 'rd': 57.3184193184, 'regulator': {'__RealLiteral__': 0, 'data': '7915.1159478', 'prec': 40}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-55.-1.1', '-4.-1.1', '-3.-1.1', '1.0.-15.0.1'], 'torsion_order': 2, 'unit_signature_rank': 6, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [[4, 2]]], [3, [[4, 2]]], [5, [[4, 2]]], [7, [[4, 2]]], [11, [[4, 2]]], [13, [0]], [17, [0]], [19, [[4, 2]]], [23, [[4, 2]]], [29, [[4, 2]]], [31, [[4, 2]]], [37, [[4, 2]]], [41, [[4, 2]]], [43, [[2, 4]]], [47, [[4, 2]]], [53, [[1, 8]]], [59, [[4, 2]]]], 'label': '8.8.116507435287321.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{218396}{8232013} a^{7} - \\frac{804396}{8232013} a^{6} - \\frac{14073169}{8232013} a^{5} + \\frac{6060587}{8232013} a^{4} + \\frac{183880430}{8232013} a^{3} + \\frac{154832358}{8232013} a^{2} - \\frac{18085403}{8232013} a - \\frac{2166577}{8232013} \\)', '\\( \\frac{885973}{8232013} a^{7} - \\frac{2621227}{8232013} a^{6} - \\frac{59397333}{8232013} a^{5} - \\frac{17138521}{8232013} a^{4} + \\frac{761065628}{8232013} a^{3} + \\frac{1171023165}{8232013} a^{2} + \\frac{427089624}{8232013} a - \\frac{12316189}{8232013} \\)', '\\( \\frac{43328}{8232013} a^{7} - \\frac{277188}{8232013} a^{6} - \\frac{2073724}{8232013} a^{5} + \\frac{6659120}{8232013} a^{4} + \\frac{23279829}{8232013} a^{3} - \\frac{27227296}{8232013} a^{2} - \\frac{11998525}{8232013} a + \\frac{11721355}{8232013} \\)', '\\( \\frac{2711054}{8232013} a^{7} - \\frac{7818303}{8232013} a^{6} - \\frac{182676824}{8232013} a^{5} - \\frac{64008582}{8232013} a^{4} + \\frac{2339766290}{8232013} a^{3} + \\frac{3723034569}{8232013} a^{2} + \\frac{1400303304}{8232013} a - \\frac{32750373}{8232013} \\)', '\\( \\frac{885973}{8232013} a^{7} - \\frac{2621227}{8232013} a^{6} - \\frac{59397333}{8232013} a^{5} - \\frac{17138521}{8232013} a^{4} + \\frac{761065628}{8232013} a^{3} + \\frac{1171023165}{8232013} a^{2} + \\frac{418857611}{8232013} a - \\frac{20548202}{8232013} \\)', '\\( \\frac{149208}{8232013} a^{7} - \\frac{559363}{8232013} a^{6} - \\frac{9554923}{8232013} a^{5} + \\frac{4595318}{8232013} a^{4} + \\frac{123840938}{8232013} a^{3} + \\frac{103696635}{8232013} a^{2} + \\frac{15069232}{8232013} a + \\frac{218396}{8232013} \\)', '\\( \\frac{1806}{6731} a^{7} - \\frac{5602}{6731} a^{6} - \\frac{120148}{6731} a^{5} - \\frac{18116}{6731} a^{4} + \\frac{1545292}{6731} a^{3} + \\frac{2168202}{6731} a^{2} + \\frac{668854}{6731} a - \\frac{16953}{6731} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/8232013*a^7 + 3019361/8232013*a^6 - 1122526/8232013*a^5 + 2726932/8232013*a^4 - 1466398/8232013*a^3 - 1137546/8232013*a^2 + 2039677/8232013*a + 1971827/8232013']}