Number field data - 8.8.47775744000000.2

Formats: - HTML - YAML - JSON - 2026-04-21T07:02:27.526959

• 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
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [900, 0, -1800, 0, 810, 0, -60, 0, 1], 'conductor': 0, 'degree': 8, 'disc_abs': 47775744000000, 'disc_rad': 30, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [22, 6, 6], 'galois_label': '8T5', 'galt': 5, 'grd': 51.274440767548086, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.8.47775744000000.2', 'local_algs': ['2.2.4.22a1.10', '3.2.4.6a1.3', '5.1.4.3a1.1', '5.1.4.3a1.1'], 'monogenic': 0, 'narrow_class_group': [2, 2, 2], 'narrow_class_number': 8, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 5], 'rd': 51.2744407675, 'regulator': {'__RealLiteral__': 0, 'data': '7185.91630418', 'prec': 44}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['-30.0.1', '-6.0.1', '-1.-1.1', '19.14.-13.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 6, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  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

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[4, 2]]], [11, [[4, 2]]], [13, [[4, 2]]], [17, [[4, 2]]], [19, [[2, 4]]], [23, [[4, 2]]], [29, [[2, 4]]], [31, [[4, 2]]], [37, [[4, 2]]], [41, [[4, 2]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[4, 2]]]], 'label': '8.8.47775744000000.2', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{285} a^{6} - \\frac{23}{114} a^{4} + \\frac{46}{19} a^{2} - \\frac{43}{19} \\)', '\\( \\frac{1}{2850} a^{6} - \\frac{1}{285} a^{4} - \\frac{34}{95} a^{2} + \\frac{9}{19} \\)', '\\( \\frac{1}{285} a^{7} - \\frac{4}{1425} a^{6} - \\frac{23}{114} a^{5} + \\frac{46}{285} a^{4} + \\frac{46}{19} a^{3} - \\frac{203}{95} a^{2} - \\frac{43}{19} a + \\frac{23}{19} \\)', '\\( \\frac{1}{285} a^{7} + \\frac{1}{475} a^{6} - \\frac{23}{114} a^{5} - \\frac{44}{285} a^{4} + \\frac{46}{19} a^{3} + \\frac{271}{95} a^{2} - \\frac{81}{19} a - \\frac{79}{19} \\)', '\\( \\frac{1}{285} a^{7} - \\frac{11}{2850} a^{6} - \\frac{23}{114} a^{5} + \\frac{68}{285} a^{4} + \\frac{46}{19} a^{3} - \\frac{291}{95} a^{2} - \\frac{43}{19} a + \\frac{53}{19} \\)', '\\( \\frac{1}{285} a^{7} + \\frac{13}{2850} a^{6} - \\frac{23}{114} a^{5} - \\frac{14}{57} a^{4} + \\frac{46}{19} a^{3} + \\frac{223}{95} a^{2} - \\frac{81}{19} a - \\frac{73}{19} \\)', '\\( \\frac{1}{75} a^{6} - \\frac{4}{5} a^{4} + \\frac{52}{5} a^{2} - 7 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/30*a^4', '1/30*a^5', '1/2850*a^6 - 1/285*a^4 - 34/95*a^2 + 9/19', '1/2850*a^7 - 1/285*a^5 - 34/95*a^3 + 9/19*a']}