Number field data - 6.0.41702720000.1

Formats: - HTML - YAML - JSON - 2026-08-15T00:19:18.243235

• 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': [3, 3], 'class_number': 9, 'cm': False, 'coeffs': [13122, 0, 637, 0, 64, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 41702720000, 'disc_rad': 190, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 4, 4], 'galois_label': '6T2', 'galt': 2, 'grd': 58.888080312522455, 'index': 216, 'inessentialp': [2, 3], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.0.41702720000.1', 'local_algs': ['2.1.2.3a1.1', '2.1.2.3a1.1', '2.1.2.3a1.1', '5.2.3.4a1.2', '19.1.3.2a1.1', '19.1.3.2a1.1'], 'maximal_cm_subfield': [2, 0, 1], 'maxp': 19, 'minimal_sibling': [292, 32, -1, 1], 'monogenic': -1, 'narrow_class_group': [3, 3], 'narrow_class_number': 9, 'num_ram': 3, 'r2': 3, 'ramps': [2, 5, 19], 'rd': 58.8880803125, 'regulator': {'__RealLiteral__': 0, 'data': '3089.4499421', 'prec': 37}, 'subfield_mults': [1, 3], 'subfields': ['2.0.1', '292.32.-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, [[1, 6]]], [5, [0]], [7, [[2, 3]]], [11, [[3, 2]]], [13, [[2, 3]]], [17, [[3, 2]]], [19, [0]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[2, 3]]], [37, [[2, 3]]], [41, [[3, 2]]], [43, [[1, 6]]], [47, [[2, 3]]], [53, [[2, 3]]], [59, [[3, 2]]]], 'label': '6.0.41702720000.1', 'res': {'sex': ['292,32,-1,1', '0,1', '0,1', '0,1'], 'sib': ['292,32,-1,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{3795299453}{9072} a^{5} - \\frac{129022552021}{336} a^{4} + \\frac{27115535837}{9072} a^{3} - \\frac{921802263125}{336} a^{2} + \\frac{437969270707}{4536} a - \\frac{4962973606737}{56} \\)', '\\( \\frac{258152790379}{1512} a^{5} + \\frac{8302952713}{42} a^{4} + \\frac{14040877668907}{1512} a^{3} + \\frac{73035647393}{42} a^{2} - \\frac{18095029513915}{756} a - \\frac{3781201603250}{7} \\)'], 'zk': ['1', 'a', 'a^2', '1/6*a^3 - 1/2*a^2 + 1/3*a', '1/336*a^4 - 79/336*a^2 - 27/56', '1/18144*a^5 - 1/672*a^4 + 145/18144*a^3 + 79/672*a^2 - 2881/9072*a + 27/112']}