Number field data - 8.4.9270473523200000.12

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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, 2], 'class_number': 8, 'cm': False, 'coeffs': [269120, 0, -64960, 0, -3336, 0, 24, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 9270473523200000, 'disc_rad': 290, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [0]], [7, [[4, 1], [2, 2]]], [11, [[4, 1], [2, 1], [1, 2]]], [13, [[4, 1], [2, 2]]], [17, [[8, 1]]], [19, [[2, 2], [1, 4]]], [23, [[4, 1], [2, 2]]], [29, [0]], [31, [[2, 2], [1, 4]]], [37, [[8, 1]]], [41, [[2, 4]]], [43, [[8, 1]]], [47, [[8, 1]]], [53, [[4, 1], [2, 2]]], [59, [[2, 2], [1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [176, 48, 32], 'galois_label': '8T28', 'galt': 28, 'grd': 121.1320285604979, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 12, 'label': '8.4.9270473523200000.12', 'local_algs': ['2.2.4.22a1.72', '5.1.4.3a1.1', '5.2.2.2a1.2', '29.1.2.1a1.2', '29.1.2.1a1.2', '29.2.2.2a1.2'], 'minimal_sibling': [1856, 0, 192, 0, 24, 0, 8, 0, 1], 'monogenic': 0, 'narrow_class_group': [2, 2, 4], 'narrow_class_number': 16, 'num_ram': 3, 'r2': 2, 'ramps': [2, 5, 29], 'rd': 99.057585902, 'regulator': {'__RealLiteral__': 0, 'data': '17213.0520607', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '116.0.-22.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{5}{148472} a^{6} + \\frac{61}{148472} a^{4} - \\frac{1711}{18559} a^{2} - \\frac{24122}{18559} \\)', '\\( \\frac{177}{4305688} a^{6} - \\frac{1122}{538211} a^{4} - \\frac{80309}{1076422} a^{2} - \\frac{1159}{18559} \\)', '\\( \\frac{575}{8611376} a^{6} + \\frac{12787}{4305688} a^{4} - \\frac{70544}{538211} a^{2} - \\frac{68307}{18559} \\)', '\\( \\frac{4913829}{8611376} a^{7} + \\frac{159057}{148472} a^{6} + \\frac{8453589}{538211} a^{5} + \\frac{1094787}{37118} a^{4} - \\frac{1989383823}{1076422} a^{3} - \\frac{64384353}{18559} a^{2} - \\frac{808775064}{18559} a - \\frac{1518210901}{18559} \\)', '\\( \\frac{60519492425}{8611376} a^{7} + \\frac{225520696967}{4305688} a^{6} + \\frac{2407001026967}{4305688} a^{5} + \\frac{4484741503167}{1076422} a^{4} + \\frac{16374763251951}{2152844} a^{3} + \\frac{30509578537590}{538211} a^{2} - \\frac{631947691897}{18559} a - \\frac{4709795930821}{18559} \\)'], 'used_grh': True, 'zk': ['1', 'a', '1/2*a^2', '1/4*a^3', '1/8*a^4', '1/8*a^5', '1/8611376*a^6 - 27373/1076422*a^4 - 113381/538211*a^2 - 3411/18559', '1/17222752*a^7 - 27373/2152844*a^5 - 113381/1076422*a^3 + 7574/18559*a']}