Number field data - 6.2.3779136.3

Formats: - HTML - YAML - JSON - 2026-07-28T03:05:20.148772

• 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, 0, 3, -6, -3, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 3779136, 'disc_rad': 6, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [28, 44], 'galois_label': '6T7', 'galt': 7, 'grd': 16.82379477331321, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 3, 'label': '6.2.3779136.3', 'local_algs': ['2.1.6.6a1.2', '3.1.3.5a1.3', '3.1.3.5a1.3'], 'maxp': 3, 'minimal_sibling': [3, -6, 0, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 3], 'rd': 12.4805029383, 'regulator': {'__RealLiteral__': 0, 'data': '25.5976389204', 'prec': 44}, 'subfield_mults': [1], 'subfields': ['-6.0.0.1'], '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, [0]], [3, [0]], [5, [[4, 1], [2, 1]]], [7, [[2, 2], [1, 2]]], [11, [[4, 1], [2, 1]]], [13, [[3, 2]]], [17, [[4, 1], [2, 1]]], [19, [[3, 2]]], [23, [[4, 1], [2, 1]]], [29, [[2, 2], [1, 2]]], [31, [[3, 2]]], [37, [[2, 2], [1, 2]]], [41, [[2, 2], [1, 2]]], [43, [[3, 2]]], [47, [[2, 2], [1, 2]]], [53, [[4, 1], [2, 1]]], [59, [[4, 1], [2, 1]]]], 'label': '6.2.3779136.3', 'res': {'gal': ['1,-12,78,-340,1113,-2892,6196,-11232,17604,-24278,30012,-33780,35087,-33780,30012,-24278,17604,-11232,6196,-2892,1113,-340,78,-12,1'], 'sex': ['3,-6,0,-2,1', '1,-1,1'], 'sib': ['-3,0,-36,-22,-45,-18,-30,0,-9,0,0,0,1', '1,-4,4,-2,5,-2,4,-4,1', '3,-6,0,-2,1', '30,18,0,-12,0,0,1', '49,0,-33,0,-30,0,7,0,6,0,3,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( a \\)', '\\( \\frac{4}{5} a^{5} - \\frac{3}{5} a^{4} - \\frac{11}{5} a^{3} - \\frac{12}{5} a^{2} + \\frac{16}{5} a - \\frac{7}{5} \\)', '\\( \\frac{6}{5} a^{5} + \\frac{3}{5} a^{4} - \\frac{19}{5} a^{3} - \\frac{48}{5} a^{2} + \\frac{9}{5} a + \\frac{12}{5} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/5*a^5 - 2/5*a^4 + 1/5*a^3 + 2/5*a^2 - 1/5*a + 2/5']}