Number field data - 4.2.17064.1

Formats: - HTML - YAML - JSON - 2025-12-04T16:45:34.302251

• 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
  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': False, 'coeffs': [-6, -4, -3, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 17064, 'disc_rad': 474, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[3, 1], [1, 1]]], [7, [[2, 2]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[3, 1], [1, 1]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[3, 1], [1, 1]]], [41, [[3, 1], [1, 1]]], [43, [[4, 1]]], [47, [[2, 1], [1, 2]]], [53, [[4, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 28, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 90.57326071147344, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.17064.1', 'local_algs': ['2.2.1.0a1.1', '2.1.2.3a1.1', '3.1.1.0a1.1', '3.1.3.3a1.2', '79.2.1.0a1.1', '79.1.2.1a1.1'], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 1, 'ramps': [2, 3, 79], 'rd': 11.4293152176, 'regulator': {'__RealLiteral__': 0, 'data': '13.4428710485', 'prec': 44}, 'res': {'gal': ['9682956,-91533672,368397288,-790623828,1062464157,-1024035564,756616414,-446303448,232562583,-87900004,17071092,6885996,-2185975,-3658536,2664750,-174556,-321759,57708,24368,-6552,-777,308,18,-12,1'], 'sib': ['-16,0,33,0,-6,0,1', '2054304,-1146816,1387332,-504840,313608,-78144,34057,-7158,2163,-260,63,-6,1', '2334,-6546,7059,-6623,5280,-2457,779,12,9,17,-6,-3,1', '913,-492,492,-106,54,0,1', '99628,71584,36682,5296,865,-218,-41,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} + a - 1 \\)', '\\( \\frac{1}{2} a^{3} - \\frac{1}{2} a^{2} - a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2']}