Number field data - 8.6.510976000000.6

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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': [], 'class_number': 1, 'cm': False, 'coeffs': [-499, 0, 952, 0, 29, 0, -22, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 510976000000, 'disc_rad': 4990, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [0]], [7, [[8, 1]]], [11, [[4, 1], [2, 2]]], [13, [[8, 1]]], [17, [[8, 1]]], [19, [[2, 3], [1, 2]]], [23, [[8, 1]]], [29, [[2, 4]]], [31, [[4, 2]]], [37, [[8, 1]]], [41, [[2, 3], [1, 2]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[8, 1]]], [59, [[2, 3], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [160, 48, 32], 'galois_label': '8T27', 'galt': 27, 'grd': 422.52534518485777, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 6, 'label': '8.6.510976000000.6', 'local_algs': ['2.2.4.16b2.8', '5.2.4.6a1.2', 'm499.1.1.0', 'm499.1.1.0', 'm499.1.2.0', 'm499.1.2.0', 'm499.2.1.1'], 'monogenic': 0, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 1, 'ramps': [2, 5, 499], 'rd': 29.0770312217, 'regulator': {'__RealLiteral__': 0, 'data': '813.266917494', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '5.0.-5.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{6}{1919} a^{6} - \\frac{103}{1919} a^{4} - \\frac{4}{1919} a^{2} + \\frac{3134}{1919} \\)', '\\( \\frac{181}{55651} a^{6} - \\frac{52}{1919} a^{4} - \\frac{710}{1919} a^{2} - \\frac{19958}{55651} \\)', '\\( \\frac{71}{55651} a^{6} - \\frac{31}{1919} a^{4} + \\frac{241}{1919} a^{2} - \\frac{19205}{55651} \\)', '\\( \\frac{103}{55651} a^{6} - \\frac{72}{1919} a^{4} - \\frac{245}{1919} a^{2} - a - \\frac{1211}{55651} \\)', '\\( \\frac{547}{55651} a^{7} + \\frac{373}{55651} a^{6} - \\frac{401}{1919} a^{5} - \\frac{298}{1919} a^{4} + \\frac{208}{1919} a^{3} + \\frac{212}{1919} a^{2} + \\frac{512798}{55651} a + \\frac{366261}{55651} \\)', '\\( \\frac{309}{55651} a^{7} + \\frac{1906}{55651} a^{6} - \\frac{216}{1919} a^{5} - \\frac{643}{1919} a^{4} - \\frac{735}{1919} a^{3} - \\frac{4720}{1919} a^{2} + \\frac{163320}{55651} a + \\frac{188308}{55651} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/55651*a^6 - 541/1919*a^4 - 375/1919*a^2 - 23785/55651', '1/55651*a^7 - 541/1919*a^5 - 375/1919*a^3 - 23785/55651*a']}