Number field data - 8.0.1135283156287488.28

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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
  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, 2, 20], 'class_number': 80, 'cm': False, 'coeffs': [711828, 0, 146016, 0, 7644, 0, 0, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1135283156287488, 'disc_rad': 78, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[8, 1]]], [7, [[4, 1], [1, 4]]], [11, [[8, 1]]], [13, [0]], [17, [[2, 4]]], [19, [[4, 1], [1, 4]]], [23, [[2, 4]]], [29, [[2, 4]]], [31, [[4, 1], [1, 4]]], [37, [[4, 1], [1, 4]]], [41, [[8, 1]]], [43, [[4, 2]]], [47, [[8, 1]]], [53, [[2, 4]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [88, 24, 24], 'galois_label': '8T17', 'galt': 17, 'grd': 104.98589220070072, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 28, 'label': '8.0.1135283156287488.28', 'local_algs': ['2.2.4.22a1.72', '3.1.4.3a1.1', '3.1.4.3a1.1', '13.1.2.1a1.2', '13.1.2.1a1.2', '13.1.4.3a1.1'], 'maximal_cm_subfield': [1, -1, 1], 'minimal_sibling': [22932, 0, 7488, 0, 924, 0, 48, 0, 1], 'monogenic': 0, 'narrow_class_group': [2, 2, 20], 'narrow_class_number': 80, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 13], 'rd': 76.188254581, 'regulator': {'__RealLiteral__': 0, 'data': '2477.18723452', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '52.0.-14.0.1'], 'torsion_gen': '\\( -\\frac{1}{15912} a^{6} + \\frac{1}{1768} a^{4} - \\frac{101}{204} a^{2} - \\frac{287}{68} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{1}{40222} a^{6} - \\frac{41}{37128} a^{4} - \\frac{23}{3094} a^{2} + \\frac{1}{476} \\)', '\\( \\frac{361}{361998} a^{7} - \\frac{61}{18564} a^{6} - \\frac{181}{18564} a^{5} + \\frac{5}{357} a^{4} + \\frac{36002}{4641} a^{3} - \\frac{5855}{238} a^{2} + \\frac{14029}{238} a - \\frac{33239}{119} \\)', '\\( \\frac{31}{13923} a^{7} - \\frac{529}{111384} a^{6} - \\frac{355}{18564} a^{5} + \\frac{2335}{37128} a^{4} + \\frac{6109}{357} a^{3} - \\frac{52613}{1428} a^{2} + \\frac{43255}{238} a - \\frac{126731}{476} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/312*a^4 - 1/2*a^2 - 1/4', '1/312*a^5 - 1/2*a^3 - 1/4*a', '1/1447992*a^6 + 11/18564*a^4 + 4895/18564*a^2 + 81/238', '1/4343976*a^7 + 47/37128*a^5 - 22951/55692*a^3 + 173/476*a']}