Number field data - 8.8.47775744000000.3

Formats: - HTML - YAML - JSON - 2026-04-22T14:32:47.118317

• 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': [22500, 0, -9000, 0, 1170, 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': 3, 'label': '8.8.47775744000000.3', 'local_algs': ['2.2.4.22a1.14', '3.2.4.6a1.3', '5.1.4.3a1.4', '5.1.4.3a1.4'], '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': '15790.3322286', '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, [[1, 8]]], [23, [[4, 2]]], [29, [[1, 8]]], [31, [[4, 2]]], [37, [[4, 2]]], [41, [[4, 2]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[4, 2]]]], 'label': '8.8.47775744000000.3', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{75} a^{6} - \\frac{19}{30} a^{4} + \\frac{38}{5} a^{2} - 22 \\)', '\\( \\frac{1}{150} a^{6} - \\frac{1}{3} a^{4} + \\frac{24}{5} a^{2} - 21 \\)', '\\( \\frac{7}{750} a^{7} + \\frac{1}{50} a^{6} - \\frac{79}{150} a^{5} - \\frac{17}{15} a^{4} + \\frac{223}{25} a^{3} + \\frac{97}{5} a^{2} - 47 a - 103 \\)', '\\( \\frac{11}{750} a^{7} + \\frac{1}{30} a^{6} - \\frac{107}{150} a^{5} - \\frac{23}{15} a^{4} + \\frac{229}{25} a^{3} + 17 a^{2} - 33 a - 43 \\)', '\\( \\frac{1}{250} a^{7} - \\frac{31}{150} a^{5} + \\frac{1}{15} a^{4} + \\frac{67}{25} a^{3} - a^{2} - 9 a + 1 \\)', '\\( \\frac{11}{750} a^{7} + \\frac{1}{25} a^{6} - \\frac{107}{150} a^{5} - \\frac{29}{15} a^{4} + \\frac{229}{25} a^{3} + \\frac{119}{5} a^{2} - 31 a - 71 \\)', '\\( \\frac{1}{15} a^{6} - \\frac{16}{5} a^{4} + 40 a^{2} - 127 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/30*a^4', '1/30*a^5', '1/150*a^6 - 1/5*a^2', '1/750*a^7 - 1/75*a^5 - 11/25*a^3']}