Number field data - 4.4.2048.1

Formats: - HTML - YAML - JSON - 2026-02-24T21:33:00.062784

• 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
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [2, 0, -4, 0, 1], 'conductor': 16, 'degree': 4, 'dirichlet_group': [1, 9, 5, 13], 'disc_abs': 2048, 'disc_rad': 2, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[2, 2]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[1, 4]]], [19, [[4, 1]]], [23, [[2, 2]]], [29, [[4, 1]]], [31, [[1, 4]]], [37, [[4, 1]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[1, 4]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [11], 'galois_label': '4T1', 'galt': 1, 'grd': 6.727171322029716, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.2048.1', 'local_algs': ['2.1.4.11a1.11'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 0, 'ramps': [2], 'rd': 6.72717132203, 'regulator': {'__RealLiteral__': 0, 'data': '2.44179500662', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - 1 \\)', '\\( a + 1 \\)', '\\( a^{3} - 3 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}
• 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': [1, 9, 5, 13], 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[4, 1]]], [7, [[2, 2]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[1, 4]]], [19, [[4, 1]]], [23, [[2, 2]]], [29, [[4, 1]]], [31, [[1, 4]]], [37, [[4, 1]]], [41, [[2, 2]]], [43, [[4, 1]]], [47, [[1, 4]]], [53, [[4, 1]]], [59, [[4, 1]]]], 'label': '4.4.2048.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( a^{2} - 1 \\)', '\\( a + 1 \\)', '\\( a^{3} - 3 a - 1 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3']}