Number field data - 8.2.3489136640000.8

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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], 'class_number': 2, 'cm': False, 'coeffs': [-44, 0, 256, 0, -4, 0, 16, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 3489136640000, 'disc_rad': 110, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[2, 4]]], [5, [0]], [7, [[8, 1]]], [11, [0]], [13, [[8, 1]]], [17, [[8, 1]]], [19, [[2, 3], [1, 2]]], [23, [[2, 4]]], [29, [[2, 3], [1, 2]]], [31, [[4, 2]]], [37, [[2, 4]]], [41, [[2, 3], [1, 2]]], [43, [[8, 1]]], [47, [[2, 4]]], [53, [[2, 4]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [44, 8, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 49.89003778087012, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 8, 'label': '8.2.3489136640000.8', 'local_algs': ['2.2.4.22a1.72', '5.1.2.1a1.1', '5.1.2.1a1.1', '5.1.2.1a1.1', '5.1.2.1a1.1', '11.1.2.1a1.2', '11.2.1.0a1.1', '11.2.2.2a1.2'], 'monogenic': -1, 'narrow_class_group': [4], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 3, 'ramps': [2, 5, 11], 'rd': 36.9691739925, 'regulator': {'__RealLiteral__': 0, 'data': '1913.6135089', 'prec': 40}, 'res': {'gal': ['32455,1440,19016,-41768,25208,-12176,18436,-18152,12645,-6688,2640,-752,186,-56,28,-8,1'], 'sib': ['20,0,56,0,54,0,4,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-44.0.2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{120} a^{6} + \\frac{17}{120} a^{4} - \\frac{1}{60} a^{2} + \\frac{37}{60} \\)', '\\( \\frac{1}{24} a^{6} + \\frac{41}{60} a^{4} + \\frac{13}{60} a^{2} + \\frac{373}{30} \\)', '\\( \\frac{1}{20} a^{7} + \\frac{37}{60} a^{6} + \\frac{47}{20} a^{5} + \\frac{1441}{120} a^{4} + \\frac{249}{10} a^{3} + \\frac{367}{15} a^{2} - \\frac{113}{10} a - \\frac{463}{60} \\)', '\\( \\frac{26881}{120} a^{7} - \\frac{2231}{24} a^{6} + \\frac{217381}{60} a^{5} - \\frac{36055}{24} a^{4} - \\frac{15931}{60} a^{3} + \\frac{1571}{12} a^{2} + \\frac{1719671}{30} a - \\frac{285335}{12} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/40*a^4 - 3/10*a^2 - 7/20', '1/40*a^5 - 3/10*a^3 - 7/20*a', '1/120*a^6 - 1/120*a^4 - 13/60*a^2 - 17/60', '1/120*a^7 - 1/120*a^5 - 13/60*a^3 - 17/60*a']}