Number field data - 4.4.6809.1

Formats: - HTML - YAML - JSON - 2024-06-17T17:33:32.245251

• 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
  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, -1, -5, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 6809, 'disc_rad': 6809, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [[4, 1]]], [5, [[3, 1], [1, 1]]], [7, [[4, 1]]], [11, [0]], [13, [[2, 2]]], [17, [[3, 1], [1, 1]]], [19, [[2, 2]]], [23, [[3, 1], [1, 1]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[2, 1], [1, 2]]], [53, [[3, 1], [1, 1]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 82.516664983505, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.6809.1', 'local_algs': ['11.2.0.1', '11.2.1.2', 'm619.1.2.0', 'm619.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [11, 619], 'rd': 9.08386839312, 'regulator': {'__RealLiteral__': 0, 'data': '5.75333674058', 'prec': 44}, 'res': {'gal': ['653,-22846,-14913,1832186,-3437485,-9964284,20484764,16284890,-38346842,-6394096,32302837,-4621088,-13217906,4423678,2623257,-1382210,-199179,203176,-7307,-14218,1830,416,-78,-4,1'], 'sib': ['-1,0,21,0,-10,0,1', '-1672,5676,4680,-15985,-3090,11287,-546,-2486,290,210,-31,-6,1', '1,12,10,-165,103,303,-208,-205,116,50,-23,-3,1', '158698,-16821,-37206,1974,3010,-42,-94,0,1', '291,580,242,-105,-70,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} - 4 a - 2 \\)', '\\( a^{3} - a^{2} - 3 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}