Number field data - 4.0.480249.1

Formats: - HTML - YAML - JSON - 2024-12-12T21:22:44.982018

• 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': [8], 'class_number': 8, 'cm': False, 'coeffs': [75, -30, -3, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 480249, 'disc_rad': 231, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [0]], [5, [[2, 2]]], [7, [0]], [11, [0]], [13, [[3, 1], [1, 1]]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[2, 2]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[3, 1], [1, 1]]], [41, [[3, 1], [1, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[3, 1], [1, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 8, 6], 'galois_label': '4T4', 'galt': 4, 'grd': 52.51177625135337, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.480249.1', 'local_algs': ['3.1.0.1', '3.3.4.3', '7.1.0.1', '7.3.2.1', '11.2.1.2', '11.2.1.2'], 'monogenic': -1, 'num_ram': 3, 'r2': 2, 'ramps': [3, 7, 11], 'rd': 26.3248931622, 'regulator': {'__RealLiteral__': 0, 'data': '7.72519350856', 'prec': 44}, 'res': {'gal': ['59928,-81972,47136,247,-1908,-5766,3863,429,-381,41,-6,-3,1'], 'sib': ['-99,-126,108,-28,-3,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{5} a^{3} - \\frac{11}{5} a^{2} + \\frac{37}{5} a - 8 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/5*a^3 - 1/5*a^2 + 2/5*a']}