Number field data - 6.0.19683.1

Formats: - HTML - YAML - JSON - 2025-04-17T22:08:54.252352

• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  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': True, 'coeffs': [1, 0, 0, -1, 0, 0, 1], 'conductor': 9, 'degree': 6, 'dirichlet_group': [1, 2, 4, 5, 7, 8], 'disc_abs': 19683, 'disc_rad': 3, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [[6, 1]]], [7, [[3, 2]]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [[2, 3]]], [19, [[1, 6]]], [23, [[6, 1]]], [29, [[6, 1]]], [31, [[3, 2]]], [37, [[1, 6]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[6, 1]]], [53, [[2, 3]]], [59, [[6, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [9], 'galois_label': '6T1', 'galt': 1, 'grd': 5.196152422706632, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.19683.1', 'local_algs': ['3.6.9.10'], 'monogenic': 1, 'num_ram': 1, 'r2': 3, 'ramps': [3], 'rd': 5.19615242271, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'relative_class_number': 1, 'res': {'sex': ['-1,-3,0,1', '1,-1,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '-1.-3.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 18, 'units': ['\\( a - 1 \\)', '\\( a^{5} + a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}