Number field data - 6.0.23797677312.2

Formats: - HTML - YAML - JSON - 2026-06-06T06:16:51.751745

• 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[]
  maxp	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': [2, 2], 'class_number': 4, 'cm': False, 'coeffs': [453, 0, 151, 0, 19, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 23797677312, 'disc_rad': 906, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12, 18], 'galois_label': '6T8', 'galt': 8, 'grd': 211.0271488606594, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '6.0.23797677312.2', 'local_algs': ['2.1.2.2a1.1', '2.1.4.6a1.2', '3.1.2.1a1.1', '3.1.2.1a1.1', '3.1.2.1a1.1', '151.2.1.0a1.1', '151.1.4.3a1.2'], 'maxp': 151, 'minimal_sibling': [-519, -378, -74, -2, 1], 'monogenic': 0, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 3, 'r2': 3, 'ramps': [2, 3, 151], 'rd': 53.6318068516, 'regulator': {'__RealLiteral__': 0, 'data': '1664.70275144', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-2.8.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 0, '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, [0]], [5, [[4, 1], [1, 2]]], [7, [[3, 2]]], [11, [[3, 2]]], [13, [[4, 1], [1, 2]]], [17, [[4, 1], [1, 2]]], [19, [[4, 1], [1, 2]]], [23, [[4, 1], [1, 2]]], [29, [[4, 1], [1, 2]]], [31, [[4, 1], [1, 2]]], [37, [[3, 2]]], [41, [[3, 2]]], [43, [[4, 1], [1, 2]]], [47, [[3, 2]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'label': '6.0.23797677312.2', 'res': {'gal': ['135800209997316,422177272318728,578214914908584,439922184999048,184701059790136,25276628662764,-14798037363124,-8389092630972,-1132753518651,415887792360,181661177982,10419032796,-8406912915,-1854947172,110047110,85408728,5346324,-2082288,-303090,29040,7689,-192,-118,0,1'], 'sex': ['0,1', '0,1', '-519,-378,-74,-2,1'], 'sib': ['-10611,9009,4287,26,-117,-3,1', '-115968,0,222272,0,-126832,0,9920,0,1864,0,76,0,1', '-519,-378,-74,-2,1', '22392,-122328,271896,-265212,143605,-65728,25900,-7232,2114,-296,76,-4,1', '59049,0,10524,0,958,0,76,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{217}{4} a^{4} + 515 a^{2} + \\frac{4231}{4} \\)', '\\( \\frac{23290043789}{8} a^{5} + \\frac{62746690171}{8} a^{4} + \\frac{29826968105}{2} a^{3} + \\frac{332558139211}{2} a^{2} - \\frac{206268861457}{8} a + \\frac{5989178707793}{8} \\)'], 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/2*a^3 - 1/2*a', '1/4*a^4 - 1/4', '1/8*a^5 - 1/8*a^4 - 1/8*a + 1/8']}