Number field data - 6.0.1321164656.1

Formats: - HTML - YAML - JSON - 2026-03-16T02:33:39.847728

• 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
  used_grh	boolean

  
  {'class_group': [30], 'class_number': 30, 'cm': False, 'coeffs': [155, -214, 135, -8, -3, -2, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 1321164656, 'disc_rad': 238, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 10, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 41.735231135947174, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.0.1321164656.1', 'local_algs': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1', '2.1.2.2a1.1', '7.1.6.5a1.6', '17.1.2.1a1.2', '17.2.2.2a1.2'], 'maximal_cm_subfield': [30, -1, 1], 'minimal_sibling': [-7, 0, 63, 0, 7, 0, 1], 'monogenic': -1, 'narrow_class_group': [30], 'narrow_class_number': 30, 'num_ram': 3, 'r2': 3, 'ramps': [2, 7, 17], 'rd': 33.1252749047, 'regulator': {'__RealLiteral__': 0, 'data': '59.5041576386', 'prec': 44}, 'subfield_mults': [1, 1], 'subfields': ['30.-1.1', '-20.12.-1.1'], 'torsion_order': 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[]
  unit_signature_rank	smallint
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[2, 2], [1, 2]]], [7, [0]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [0]], [19, [[2, 3]]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[1, 6]]], [37, [[2, 3]]], [41, [[2, 2], [1, 2]]], [43, [[2, 2], [1, 2]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[2, 3]]]], 'label': '6.0.1321164656.1', 'res': {'gal': ['3472,-4032,8484,-5544,5712,-3332,1737,-884,291,-92,23,-4,1'], 'sex': ['-20,12,-1,1', '-7,0,1', '0,1'], 'sib': ['-7,0,63,0,7,0,1']}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': ['\\( \\frac{1}{64} a^{5} - \\frac{3}{64} a^{4} - \\frac{1}{8} a^{2} + \\frac{79}{64} a - \\frac{613}{64} \\)', '\\( \\frac{5}{64} a^{5} + \\frac{1}{64} a^{4} - \\frac{1}{2} a^{3} - \\frac{9}{8} a^{2} + \\frac{555}{64} a + \\frac{151}{64} \\)'], 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/4*a^3 - 1/4*a^2 + 1/4*a - 1/4', '1/16*a^4 - 1/2*a + 7/16', '1/64*a^5 + 1/64*a^4 - 1/8*a^2 - 17/64*a - 9/64']}