Number field data - 8.2.1595427011633152.3

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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
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'class_group': [2, 2], 'class_number': 4, 'cm': False, 'coeffs': [-328, 0, 0, 0, -697, 0, 0, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1595427011633152, 'disc_rad': 82, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [[4, 1], [2, 2]]], [7, [[4, 2]]], [11, [[8, 1]]], [13, [[4, 2]]], [17, [[8, 1]]], [19, [[8, 1]]], [23, [[2, 3], [1, 2]]], [29, [[2, 4]]], [31, [[2, 3], [1, 2]]], [37, [[4, 1], [2, 2]]], [41, [0]], [43, [[2, 2], [1, 4]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 56], 'galois_label': '8T26', 'galt': 26, 'grd': 206.1939230586701, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 3, 'label': '8.2.1595427011633152.3', 'local_algs': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1', '2.1.4.11a1.2', '41.1.8.7a1.7'], 'monogenic': -1, 'narrow_class_group': [2, 4], 'narrow_class_number': 8, 'num_ram': 2, 'r2': 3, 'ramps': [2, 41], 'rd': 79.4986250686, 'regulator': {'__RealLiteral__': 0, 'data': '64016.0444849', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-10.-1.1', '-86.-59.-15.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{7}{218} a^{7} - \\frac{5}{218} a^{6} - \\frac{11}{218} a^{5} - \\frac{11}{218} a^{4} - \\frac{2446}{109} a^{3} + \\frac{1716}{109} a^{2} + \\frac{3688}{109} a + \\frac{3143}{109} \\)', '\\( \\frac{10}{109} a^{4} + \\frac{3}{109} \\)', '\\( \\frac{2}{109} a^{6} + \\frac{77}{109} a^{4} + \\frac{611}{109} a^{2} - \\frac{729}{109} \\)', '\\( \\frac{10503}{109} a^{7} + \\frac{27329}{109} a^{6} - \\frac{139028}{109} a^{5} + \\frac{660373}{109} a^{4} - \\frac{10778595}{109} a^{3} - \\frac{1315748}{109} a^{2} + \\frac{5773616}{109} a + \\frac{8059835}{109} \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', '1/218*a^4 - 1/2*a^2 - 38/109', '1/218*a^5 - 1/2*a^3 - 38/109*a', '1/436*a^6 - 1/436*a^5 - 1/436*a^4 - 1/4*a^3 + 71/218*a^2 + 19/109*a + 19/109', '1/436*a^7 - 185/436*a^3']}