Number field data - 6.2.10655744.2

Formats: - HTML - YAML - JSON - 2026-03-24T00:50:03.059972

• 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
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-86, 0, 50, 0, -12, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 10655744, 'disc_rad': 946, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [124, 24, 24], 'galois_label': '6T11', 'galt': 11, 'grd': 130.34410444362518, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.2.10655744.2', 'local_algs': ['2.1.6.11a1.14', '11.1.1.0a1.1', '11.1.1.0a1.1', '11.1.2.1a1.1', '11.1.2.1a1.1', '43.1.2.1a1.2', '43.4.1.0a1.1'], 'monogenic': 0, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 2, 'ramps': [2, 11, 43], 'rd': 14.8341942959, 'regulator': {'__RealLiteral__': 0, 'data': '28.793285995', 'prec': 40}, 'subfield_mults': [1], 'subfields': ['1.1.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 1, '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, [0]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [[2, 2], [1, 2]]], [11, [0]], [13, [[2, 3]]], [17, [[4, 1], [2, 1]]], [19, [[4, 1], [1, 2]]], [23, [[6, 1]]], [29, [[4, 1], [2, 1]]], [31, [[6, 1]]], [37, [[3, 2]]], [41, [[4, 1], [2, 1]]], [43, [0]], [47, [[2, 1], [1, 4]]], [53, [[2, 3]]], [59, [[3, 2]]]], 'label': '6.2.10655744.2', 'res': {'sex': ['946,0,1', '294,-172,12,0,1'], 'sib': ['-169,448,-484,560,-719,328,84,-284,41,56,-12,-4,1', '1089,0,-980,0,102,0,12,0,1', '2205225,0,3462844,0,1254298,0,-201176,0,-41501,0,648,0,530,0,36,0,1', '2236408,-2851392,4092992,-2068848,1378668,-356720,151520,-20096,4778,-408,88,-4,1', '23843912,-15419936,5921680,-2309104,973708,-233328,79872,-13024,3718,-368,84,-4,1', '3306248,1176032,-528832,32224,74140,528,88,-8,546,-136,32,-4,1', '34060,9136,8872,1464,-92,-64,-12,-4,1', '6776,33440,49104,3712,-15300,13152,-7640,504,-290,-96,28,-4,1', '7396,0,2236,0,-764,0,-328,0,10,0,12,0,1', '946,0,166,0,20,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{2}{11} a^{4} - \\frac{17}{11} a^{2} + \\frac{35}{11} \\)', '\\( \\frac{4}{11} a^{5} - \\frac{6}{11} a^{4} - \\frac{45}{11} a^{3} + \\frac{73}{11} a^{2} + \\frac{125}{11} a - \\frac{237}{11} \\)', '\\( \\frac{5}{11} a^{5} - \\frac{13}{11} a^{4} - \\frac{26}{11} a^{3} + \\frac{72}{11} a^{2} + \\frac{49}{11} a - \\frac{145}{11} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/11*a^4 - 3/11*a^2 + 1/11', '1/11*a^5 - 3/11*a^3 + 1/11*a']}