Number field data - 8.0.126142572920832.11

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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, 4], 'class_number': 8, 'cm': False, 'coeffs': [468, 0, 2184, 0, 510, 0, 44, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 126142572920832, 'disc_rad': 78, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[8, 1]]], [7, [[4, 1], [2, 2]]], [11, [[8, 1]]], [13, [0]], [17, [[2, 4]]], [19, [[4, 1], [2, 2]]], [23, [[2, 4]]], [29, [[2, 2], [1, 4]]], [31, [[4, 1], [2, 2]]], [37, [[4, 1], [2, 2]]], [41, [[8, 1]]], [43, [[2, 4]]], [47, [[8, 1]]], [53, [[2, 4]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [176, 48, 48], 'galois_label': '8T28', 'galt': 28, 'grd': 104.98589220070072, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 11, 'label': '8.0.126142572920832.11', 'local_algs': ['2.2.4.22a1.72', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.2.1a1.2', '3.1.4.3a1.1', '13.1.2.1a1.1', '13.1.2.1a1.1', '13.1.4.3a1.3'], 'minimal_sibling': [-10092, 0, -3072, 0, -164, 0, 16, 0, 1], 'monogenic': -1, 'narrow_class_group': [2, 4], 'narrow_class_number': 8, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 13], 'rd': 57.8905546581, 'regulator': {'__RealLiteral__': 0, 'data': '2537.91556323', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-3.-1.1', '-12.0.2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{633} a^{6} + \\frac{97}{1266} a^{4} + \\frac{190}{211} a^{2} + \\frac{106}{211} \\)', '\\( \\frac{83}{21522} a^{6} + \\frac{3709}{21522} a^{4} + \\frac{7674}{3587} a^{2} + \\frac{39847}{3587} \\)', '\\( \\frac{54227759301098852614}{10761} a^{7} - \\frac{178840667432683306366}{10761} a^{6} + \\frac{2187838901989608982784}{10761} a^{5} - \\frac{6068948895649335566510}{10761} a^{4} + \\frac{5997485462353260265654}{3587} a^{3} - \\frac{8616471595378742008454}{3587} a^{2} + \\frac{1318274429046496902478}{3587} a - \\frac{1844525385810238376779}{3587} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4', '1/2*a^5', '1/21522*a^6 + 2897/21522*a^4 - 1593/3587*a^2 + 264/3587', '1/21522*a^7 + 2897/21522*a^5 - 1593/3587*a^3 + 264/3587*a']}