Number field data - 8.2.6381708046532608.7

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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': [4, 4], 'class_number': 16, 'cm': False, 'coeffs': [-2050, 0, -6847, 0, 123, 0, 41, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 6381708046532608, 'disc_rad': 82, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 1], [2, 2]]], [5, [[4, 1], [1, 4]]], [7, [[4, 2]]], [11, [[4, 1], [2, 2]]], [13, [[4, 2]]], [17, [[8, 1]]], [19, [[4, 1], [2, 2]]], [23, [[4, 1], [2, 2]]], [29, [[2, 4]]], [31, [[4, 1], [2, 2]]], [37, [[4, 1], [1, 4]]], [41, [0]], [43, [[4, 1], [2, 1], [1, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[2, 2], [1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [352, 112], 'galois_label': '8T35', 'galt': 35, 'grd': 173.38773074713592, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 7, 'label': '8.2.6381708046532608.7', 'local_algs': ['2.1.2.3a1.1', '2.1.2.2a1.1', '2.1.4.10a1.1', '41.1.8.7a1.7'], 'minimal_sibling': [-5248, 0, 3280, 0, 0, 0, -41, 0, 1], 'monogenic': -1, 'narrow_class_group': [2, 4, 4], 'narrow_class_number': 32, 'num_ram': 2, 'r2': 3, 'ramps': [2, 41], 'rd': 94.5403305645, 'regulator': {'__RealLiteral__': 0, 'data': '40907.8145293', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-10.-1.1', '-4.23.-15.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{9}{3857} a^{6} + \\frac{71}{551} a^{4} + \\frac{7502}{3857} a^{2} + \\frac{17767}{3857} \\)', '\\( \\frac{4}{133} a^{6} + \\frac{71}{133} a^{4} - \\frac{1135}{133} a^{2} - \\frac{263}{133} \\)', '\\( \\frac{4}{3857} a^{6} - \\frac{24}{3857} a^{4} - \\frac{1686}{3857} a^{2} - \\frac{491}{3857} \\)', '\\( \\frac{571013540900398636}{3857} a^{7} - \\frac{1855090143246184682}{3857} a^{6} + \\frac{29438311449880846593}{3857} a^{5} - \\frac{95638224828036006295}{3857} a^{4} + \\frac{380941006953568122303}{3857} a^{3} - \\frac{176798386062668582463}{551} a^{2} + \\frac{110908044178965250394}{3857} a - \\frac{360314431841115725893}{3857} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/7*a^4 + 3/7*a^2 + 1/7', '1/7*a^5 + 3/7*a^3 + 1/7*a', '1/7714*a^6 - 3/3857*a^4 + 1507/7714*a^2 + 1385/3857', '1/38570*a^7 + 548/19285*a^5 + 4813/38570*a^3 - 1921/19285*a']}