Number field data - 8.0.1679412953088.6

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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': [4], 'class_number': 4, 'cm': False, 'coeffs': [637, 0, -286, 0, 57, 0, -10, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1679412953088, 'disc_rad': 78, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1], [2, 2]]], [7, [[2, 1], [1, 6]]], [11, [[8, 1]]], [13, [0]], [17, [[4, 2]]], [19, [[2, 1], [1, 6]]], [23, [[2, 4]]], [29, [[4, 2]]], [31, [[4, 1], [2, 2]]], [37, [[2, 3], [1, 2]]], [41, [[4, 1], [2, 2]]], [43, [[4, 1], [2, 1], [1, 2]]], [47, [[8, 1]]], [53, [[4, 2]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 96, 96], 'galois_label': '8T35', 'galt': 35, 'grd': 124.84996997998198, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 6, 'label': '8.0.1679412953088.6', 'local_algs': ['2.2.4.20a1.7', '3.1.4.3a1.1', '3.1.4.3a1.1', '13.1.4.3a1.2', '13.4.1.0a1.1'], 'maximal_cm_subfield': [1, -1, 1], 'minimal_sibling': [1404, 0, -468, 0, 106, 0, -14, 0, 1], 'monogenic': 0, 'narrow_class_group': [4], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 13], 'rd': 33.7399696283, 'regulator': {'__RealLiteral__': 0, 'data': '2137.5612008', 'prec': 40}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '156.0.-24.0.1'], 'torsion_gen': '\\( \\frac{6}{61} a^{6} - \\frac{31}{61} a^{4} + \\frac{182}{61} a^{2} - \\frac{755}{61} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{96}{427} a^{7} + \\frac{48}{61} a^{6} - \\frac{435}{427} a^{5} - \\frac{248}{61} a^{4} + \\frac{2973}{427} a^{3} + \\frac{1578}{61} a^{2} - \\frac{11531}{427} a - \\frac{6223}{61} \\)', '\\( \\frac{96}{427} a^{7} - \\frac{48}{61} a^{6} - \\frac{435}{427} a^{5} + \\frac{248}{61} a^{4} + \\frac{2973}{427} a^{3} - \\frac{1578}{61} a^{2} - \\frac{11531}{427} a + \\frac{6223}{61} \\)', '\\( \\frac{7538}{427} a^{7} + \\frac{2367}{61} a^{6} - \\frac{38987}{427} a^{5} - \\frac{12260}{61} a^{4} + \\frac{240995}{427} a^{3} + \\frac{75703}{61} a^{2} - \\frac{992167}{427} a - \\frac{311969}{61} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/61*a^6 + 5/61*a^4 + 10/61*a^2 - 14/61', '1/427*a^7 - 178/427*a^5 + 71/427*a^3 + 169/427*a']}