Number field data - 4.4.1590121.1

Formats: - HTML - YAML - JSON - 2024-12-21T16:06:37.868501

• 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[]
  minimal_sibling	numeric[]
  monogenic	smallint
  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': [441, 0, -55, 0, 1], 'conductor': 1261, 'degree': 4, 'dirichlet_group': [872, 1, 1260, 389], 'disc_abs': 1590121, 'disc_rad': 1261, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[1, 4]]], [5, [[2, 2]]], [7, [[2, 2]]], [11, [[2, 2]]], [13, [0]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[2, 2]]], [29, [[2, 2]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[2, 2]]], [43, [[1, 4]]], [47, [[2, 2]]], [53, [[1, 4]]], [59, [[2, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 2], 'galois_label': '4T2', 'galt': 2, 'grd': 35.510561809129406, 'index': 6, 'inessentialp': [2, 3], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.1590121.1', 'local_algs': ['13.4.2.1', '97.4.2.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 0, 'ramps': [13, 97], 'rd': 35.5105618091, 'regulator': {'__RealLiteral__': 0, 'data': '251.268885153', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['-3.-1.1', '-24.-1.1', '-315.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{42} a^{3} - \\frac{17}{21} a - \\frac{3}{2} \\)', '\\( \\frac{240}{7} a^{3} + \\frac{461}{2} a^{2} - \\frac{4679}{14} a - \\frac{4493}{2} \\)', '\\( \\frac{240}{7} a^{3} - \\frac{461}{2} a^{2} - \\frac{4679}{14} a + \\frac{4493}{2} \\)'], 'unitsGmodule': [[14, 1]], 'unitsType': 'Type IV', 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a - 1/2', '1/42*a^3 + 4/21*a - 1/2']}