Number field data - 6.0.465831.1

Formats: - HTML - YAML - JSON - 2026-01-17T16:31:17.867129

• 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
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [3, -9, 15, -13, 9, -3, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 465831, 'disc_rad': 213, 'disc_sign': -1, 'frobs': [[2, [[3, 2]]], [3, [0]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [[2, 1], [1, 4]]], [19, [[2, 2], [1, 2]]], [23, [[6, 1]]], [29, [[3, 2]]], [31, [[6, 1]]], [37, [[2, 2], [1, 2]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[6, 1]]], [53, [[2, 1], [1, 4]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [32, 12], 'galois_label': '6T6', 'galt': 6, 'grd': 36.45783266912841, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.465831.1', 'local_algs': ['3.1.3.4a2.1', '3.1.3.4a2.1', '71.1.1.0a1.1', '71.1.1.0a1.1', '71.2.1.0a1.1', '71.1.2.1a1.2'], 'maximal_cm_subfield': [3, -9, 15, -13, 9, -3, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 3, 'ramps': [3, 71], 'rd': 8.80450067483, 'regulator': {'__RealLiteral__': 0, 'data': '3.39714980258', 'prec': 44}, 'relative_class_number': 1, 'res': {'gal': ['9,0,3465,0,64989,0,282086,0,561612,0,626331,0,426720,0,184359,0,50835,0,8763,0,894,0,48,0,1'], 'sex': ['12,15,-12,-1,1', '18,-1,1'], 'sib': ['29241,16929,34830,7056,10584,-72,1899,-54,180,-19,21,-3,1', '51,198,273,152,33,6,3,24,-3,-18,15,-6,1', '81,-27,0,18,-6,6,0,-1,1']}, 'subfield_mults': [1], 'subfields': ['-1.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - a + 1 \\)', '\\( a^{4} - 2 a^{3} + 6 a^{2} - 5 a + 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}