Number field data - 4.0.229.1

Formats: - HTML - YAML - JSON - 2026-06-07T13:52:28.120954

• 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': False, 'coeffs': [1, -1, 0, 0, 1], 'conductor': 0, 'degree': 4, 'disc_abs': 229, 'disc_rad': 229, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '4T5', 'galt': 5, 'grd': 15.132745950421556, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.229.1', 'local_algs': ['m229.1.2.0', 'm229.2.1.1'], 'maxp': 229, 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 2, 'ramps': [229], 'rd': 3.89008302616, 'regulator': {'__RealLiteral__': 0, 'data': '0.337377803572', 'prec': 47}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, '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': [], 'frobs': [[2, [[4, 1]]], [3, [[3, 1], [1, 1]]], [5, [[3, 1], [1, 1]]], [7, [[4, 1]]], [11, [[3, 1], [1, 1]]], [13, [[4, 1]]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[2, 1], [1, 2]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[2, 1], [1, 2]]], [53, [[2, 2]]], [59, [[4, 1]]]], 'label': '4.0.229.1', 'res': {'gal': ['1,-3,2,0,-1,4,32,-35,-92,49,163,-15,-194,-15,163,49,-92,-35,32,4,-1,0,2,-3,1'], 'sib': ['-4,1,2,-7,6,-3,1', '1,0,-1,-1,-1,0,1', '183,-217,111,-28,35,-14,4,0,1', '1,-4,10,-19,28,-34,37,-34,28,-19,10,-4,1', '16,44,1,-52,-4,32,8,-5,-6,-6,-2,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( a^{3} - 1 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3']}