Number field data - 8.6.990748082176.1

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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': [], 'class_number': 1, 'cm': False, 'coeffs': [-171, 0, 202, 0, -63, 0, 2, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 990748082176, 'disc_rad': 8474, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1], [1, 2]]], [5, [[4, 2]]], [7, [[4, 2]]], [11, [[6, 1], [2, 1]]], [13, [[2, 3], [1, 2]]], [17, [[3, 2], [1, 2]]], [19, [0]], [23, [[6, 1], [2, 1]]], [29, [[6, 1], [1, 2]]], [31, [[8, 1]]], [37, [[3, 2], [2, 1]]], [41, [[6, 1], [1, 2]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[3, 2], [2, 1]]], [59, [[6, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1152, 192, 192], 'galois_label': '8T44', 'galt': 44, 'grd': 520.7379379303951, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.6.990748082176.1', 'local_algs': ['2.2.4.20a1.7', '19.1.2.1a1.1', '19.2.1.0a1.1', '19.4.1.0a1.1', 'm223.1.1.0', 'm223.1.1.0', 'm223.1.2.0', 'm223.2.1.1', 'm223.2.1.1'], 'monogenic': 0, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 1, 'ramps': [2, 19, 223], 'rd': 31.586056293, 'regulator': {'__RealLiteral__': 0, 'data': '3223.64404143', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['3.2.-5.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{7}{13} a^{6} + \\frac{38}{13} a^{4} - \\frac{307}{13} a^{2} + \\frac{341}{13} \\)', '\\( \\frac{2}{13} a^{6} + \\frac{9}{13} a^{4} - \\frac{97}{13} a^{2} + \\frac{142}{13} \\)', '\\( \\frac{5}{13} a^{6} + \\frac{29}{13} a^{4} - \\frac{210}{13} a^{2} + \\frac{199}{13} \\)', '\\( \\frac{1}{39} a^{7} - \\frac{5}{13} a^{6} + \\frac{11}{39} a^{5} - \\frac{29}{13} a^{4} - \\frac{1}{13} a^{3} + \\frac{210}{13} a^{2} - \\frac{137}{39} a - \\frac{186}{13} \\)', '\\( \\frac{30}{13} a^{7} - \\frac{55}{13} a^{6} + \\frac{161}{13} a^{5} - \\frac{293}{13} a^{4} - \\frac{1351}{13} a^{3} + \\frac{2492}{13} a^{2} + \\frac{1493}{13} a - \\frac{2813}{13} \\)', '\\( \\frac{22}{13} a^{7} - \\frac{21}{13} a^{6} + \\frac{99}{13} a^{5} - \\frac{88}{13} a^{4} - \\frac{1119}{13} a^{3} + \\frac{1116}{13} a^{2} + \\frac{1783}{13} a - \\frac{1894}{13} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/13*a^6 - 2/13*a^4 - 3/13*a^2 + 6/13', '1/39*a^7 + 11/39*a^5 - 1/13*a^3 + 19/39*a']}