Number field data - 4.0.24648.1

Formats: - HTML - YAML - JSON - 2025-12-04T16:33:24.388914

• 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': [16, 8, 2, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 24648, 'disc_rad': 6162, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[4, 1]]], [13, [0]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[4, 1]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[4, 1]]], [53, [[4, 1]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12, 12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 156.9968152543229, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.24648.1', 'local_algs': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.3a1.3', '3.2.1.0a1.1', '3.1.2.1a1.2', '13.1.2.1a1.1', '13.2.1.0a1.1', '79.1.2.1a1.2', '79.2.1.0a1.1'], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 13, 79], 'rd': 12.5298370003, 'regulator': {'__RealLiteral__': 0, 'data': '23.510135379', 'prec': 40}, 'res': {'gal': ['91041956352,70210713600,-11627090448,-4612132176,3711095860,-4400799328,-1197531768,-38246052,2398673,76267964,16075112,6888644,11741860,-2123396,1822216,-661348,298102,-84908,24296,-6500,1760,-300,48,-8,1'], 'sib': ['-41352,25560,-2666,260,-49,-2,1', '37600924,928100,1653517,13286,30399,-80,271,-2,1', '64,-16,-24,-2,-6,-1,1', '74464,146432,-77596,-124200,29592,35776,-6679,-4214,707,220,-33,-6,1', '9216,8832,-7520,-7568,3996,464,-12,-204,171,4,0,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{5527}{4} a^{3} + \\frac{43869}{4} a^{2} + \\frac{41613}{2} a + 18207 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/4*a^3 - 1/4*a^2 - 1/2*a']}