Number field data - 6.2.153125.1

Formats: - HTML - YAML - JSON - 2026-08-10T20:53:11.661078

• 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': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, 0, 0, 0, -1, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 153125, 'disc_rad': 35, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [10, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 10.116354127720633, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.153125.1', 'local_algs': ['5.1.6.5a1.1', '7.2.1.0a1.1', '7.2.2.2a1.2'], 'maxp': 7, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [5, 7], 'rd': 7.31432662849, 'regulator': {'__RealLiteral__': 0, 'data': '1.56253260729', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-3.2.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, '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, [[6, 1]]], [3, [[2, 3]]], [5, [0]], [7, [0]], [11, [[3, 2]]], [13, [[2, 3]]], [17, [[2, 3]]], [19, [[2, 2], [1, 2]]], [23, [[6, 1]]], [29, [[3, 2]]], [31, [[2, 2], [1, 2]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[2, 3]]], [53, [[2, 3]]], [59, [[2, 2], [1, 2]]]], 'label': '6.2.153125.1', 'res': {'gal': ['1,3,4,0,0,3,-1,-3,0,0,4,-3,1'], 'sex': ['-3,2,-1,1', '9,-1,1', '0,1'], 'sib': ['1,4,5,0,5,-1,1', '1,3,4,0,0,3,-1,-3,0,0,4,-3,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{3} a^{5} - \\frac{1}{3} a^{4} + \\frac{1}{3} a^{3} - \\frac{2}{3} a^{2} + \\frac{2}{3} \\)', '\\( \\frac{1}{3} a^{4} - \\frac{2}{3} a^{3} + \\frac{1}{3} a - \\frac{1}{3} \\)', '\\( \\frac{1}{3} a^{5} - \\frac{1}{3} a^{4} + \\frac{1}{3} a^{3} + \\frac{1}{3} a^{2} + \\frac{2}{3} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 + 1/3*a^3 + 1/3*a - 1/3', '1/3*a^5 - 1/3*a^3 + 1/3*a^2 + 1/3*a + 1/3']}