Number field data - 4.4.27648.1

Formats: - HTML - YAML - JSON - 2025-12-19T15:08:45.412820

• 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': False, 'coeffs': [3, 0, -6, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 27648, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[2, 1], [1, 2]]], [7, [[4, 1]]], [11, [[2, 2]]], [13, [[2, 2]]], [17, [[4, 1]]], [19, [[2, 1], [1, 2]]], [23, [[2, 2]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[2, 2]]], [41, [[4, 1]]], [43, [[2, 1], [1, 2]]], [47, [[2, 2]]], [53, [[2, 1], [1, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [22, 6], 'galois_label': '4T3', 'galt': 3, 'grd': 15.33463450191054, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '4.4.27648.1', 'local_algs': ['2.1.4.10a1.7', '3.1.4.3a1.1'], 'minimal_sibling': [6, 0, -6, 0, 1], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 12.8948391819, 'regulator': {'__RealLiteral__': 0, 'data': '17.6308985755', 'prec': 44}, 'res': {'gal': ['1,4,-4,-20,4,20,-4,-4,1'], 'sib': ['6,0,-6,0,1', '1,4,-4,-20,4,20,-4,-4,1']}, 'subfield_mults': [1], 'subfields': ['-6.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - a^{2} - 5 a + 4 \\)', '\\( a^{3} - 5 a - 1 \\)', '\\( a^{3} - 5 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}