Number field data - 8.0.16777216.1

Formats: - HTML - YAML - JSON - 2026-05-17T08:20:42.877712

• 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[]
  maxp	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': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 16, 'degree': 8, 'disc_abs': 16777216, 'disc_rad': 2, 'disc_sign': 1, 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24], 'galois_label': '8T2', 'galt': 2, 'grd': 8.0, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.16777216.1', 'local_algs': ['2.1.8.24c1.1'], 'maximal_cm_subfield': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'maxp': 2, 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 4, 'ramps': [2], 'rd': 8.0, 'regulator': {'__RealLiteral__': 0, 'data': '19.534360053', 'prec': 40}, 'relative_class_number': 1, 'subfield_mults': [1, 1, 1, 1, 1, 1], 'subfields': ['1.0.1', '-2.0.1', '2.0.1', '1.0.0.0.1', '2.0.4.0.1', '2.0.-4.0.1'], 'torsion_order': 16, 'unit_signature_rank': 0, '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': [1, 3, 5, 7, 9, 11, 13, 15], 'frobs': [[2, [0]], [3, [[4, 2]]], [5, [[4, 2]]], [7, [[2, 4]]], [11, [[4, 2]]], [13, [[4, 2]]], [17, [[1, 8]]], [19, [[4, 2]]], [23, [[2, 4]]], [29, [[4, 2]]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[2, 4]]], [43, [[4, 2]]], [47, [[2, 4]]], [53, [[4, 2]]], [59, [[4, 2]]]], 'label': '8.0.16777216.1', 'res': {}, 'torsion_gen': '\\( a \\)', 'units': ['\\( a^{6} + a^{4} + a^{2} \\)', '\\( a^{7} + a^{4} - a^{2} \\)', '\\( a^{6} + a^{5} + a^{4} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}