Number field data - 6.2.597584.1

Formats: - HTML - YAML - JSON - 2024-04-30T10:29:15.955242

• 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, -3, 0, 3, 0, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 597584, 'disc_rad': 442, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 1], [2, 1], [1, 1]]], [5, [[4, 1], [2, 1]]], [7, [[4, 1], [2, 1]]], [11, [[4, 1], [2, 1]]], [13, [0]], [17, [0]], [19, [[6, 1]]], [23, [[3, 1], [2, 1], [1, 1]]], [29, [[3, 1], [2, 1], [1, 1]]], [31, [[4, 1], [2, 1]]], [37, [[4, 1], [2, 1]]], [41, [[4, 1], [2, 1]]], [43, [[2, 2], [1, 2]]], [47, [[6, 1]]], [53, [[2, 2], [1, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 23.59841316812497, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.597584.1', 'local_algs': ['2.6.4.2', '13.2.1.1', '13.4.2.1', '17.1.0.1', '17.2.1.1', '17.3.0.1'], 'minimal_sibling': [1, 2, 0, 1, -2, -1, 1], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 13, 17], 'rd': 9.17768526553, 'regulator': {'__RealLiteral__': 0, 'data': '4.4956424427', 'prec': 40}, 'res': {'sex': ['1,2,0,1,-2,-1,1'], 'sib': ['-43,265,-1317,2135,1251,-3975,-1314,3569,1760,-2081,-1117,737,260,-148,10,19,-10,-1,1', '1,-1,2,-4,7,-7,8,-7,7,-4,2,-1,1', '1,-2,1,1,-1,2,-2,1,-1,1', '1,-3,2,-2,9,-17,26,-41,66,-93,108,-111,100,-79,53,-30,14,-5,1', '1,0,-3,12,-34,17,104,-208,88,203,-361,222,53,-215,201,-111,40,-9,1', '1,2,0,1,-2,-1,1', '1,3,7,8,3,3,6,5,-3,0,5,-3,1', '101,-44,-165,109,-30,-21,14,15,-27,2,6,-4,1', '12,-40,116,-162,192,-122,81,-25,24,-5,8,-1,1', '179,154,-263,-502,-586,-254,191,184,26,-20,-11,0,1', '8,-20,38,-61,80,-87,83,-69,48,-28,14,-5,1', '1,-13,63,-158,321,-701,1057,-1265,2017,-1853,1150,-291,1096,-3616,123,-3362,1093,4163,-1123,-13,-2581,-816,1371,1530,630,-327,-480,-463,99,87,67,25,-23,-4,-1,-1,1', '1,-4,9,-12,2,32,-70,80,-17,-72,115,-72,-20,-40,327,-544,668,-596,427,-596,668,-544,327,-40,-20,-72,115,-72,-17,80,-70,32,2,-12,9,-4,1', '1,0,4,-7,3,-13,55,109,143,115,-31,101,208,163,146,-162,-5,603,5,-680,139,456,-186,-155,129,-99,-38,103,5,-32,23,-8,-4,3,2,-1,1', '16,0,304,0,1744,0,15044,0,20048,0,4112,0,-5551,0,-2293,0,586,0,511,0,122,0,15,0,1', '4,40,184,352,-98,-638,581,641,330,-489,-1162,241,424,-162,135,111,32,-115,-49,17,31,0,-5,-2,1']}, 'subfield_mults': [1], 'subfields': ['-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{5} - a^{4} + 3 a^{2} - 2 \\)', '\\( 2 a^{5} - a^{4} + 6 a^{2} + 2 a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}