Number field data - 4.2.7803.1

Formats: - HTML - YAML - JSON - 2025-12-04T06:22:18.017591

• 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': [1, -4, 0, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 7803, 'disc_rad': 51, 'disc_sign': -1, 'frobs': [[2, [[4, 1]]], [3, [0]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[2, 1], [1, 2]]], [13, [[3, 1], [1, 1]]], [17, [0]], [19, [[3, 1], [1, 1]]], [23, [[4, 1]]], [29, [[2, 1], [1, 2]]], [31, [[3, 1], [1, 1]]], [37, [[3, 1], [1, 1]]], [41, [[2, 1], [1, 2]]], [43, [[3, 1], [1, 1]]], [47, [[2, 1], [1, 2]]], [53, [[2, 1], [1, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [18, 16], 'galois_label': '4T5', 'galt': 5, 'grd': 15.070935874553902, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.7803.1', 'local_algs': ['3.1.4.3a1.2', '17.1.1.0a1.1', '17.1.3.2a1.1'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 1, 'ramps': [3, 17], 'rd': 9.39864837017, 'regulator': {'__RealLiteral__': 0, 'data': '3.39817572226', 'prec': 44}, 'res': {'gal': ['1,-12,70,-264,730,-1602,2936,-4593,6118,-6852,6337,-4587,2075,309,-1589,1464,-575,-195,479,-417,253,-117,40,-9,1'], 'sib': ['-17,0,0,-1,3,-3,1', '-3,0,21,0,13,0,-17,0,3,0,-2,0,1', '1,0,16,0,18,0,7,0,1', '1,0,7,0,8,0,16,0,8,0,7,0,1', '2,-5,12,-15,10,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{2} - 2 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}