Number field data - 4.2.47888.1

Formats: - HTML - YAML - JSON - 2024-12-27T03:07:05.386025

• 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': [-9, -16, -4, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 47888, 'disc_rad': 5986, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[3, 1], [1, 1]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[4, 1]]], [13, [[3, 1], [1, 1]]], [17, [[3, 1], [1, 1]]], [19, [[3, 1], [1, 1]]], [23, [[2, 1], [1, 2]]], [29, [[2, 2]]], [31, [[3, 1], [1, 1]]], [37, [[3, 1], [1, 1]]], [41, [0]], [43, [[3, 1], [1, 1]]], [47, [[4, 1]]], [53, [[2, 2]]], [59, [[1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 154.7384890710776, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.47888.1', 'local_algs': ['2.4.4.3', '41.1.0.1', '41.1.0.1', '41.2.1.1', '73.2.1.2', '73.2.0.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 1, 'ramps': [2, 41, 73], 'rd': 14.7930142251, 'regulator': {'__RealLiteral__': 0, 'data': '10.7720214659', 'prec': 44}, 'res': {'gal': ['262139305104,103107068640,-64254371232,-24974741072,15465542764,10333428648,-3144023308,-2344925704,676342329,395315764,-82233016,-74196724,17171262,7441984,-1252260,-931700,153651,52064,-3832,-4172,458,92,4,-8,1'], 'sib': ['1,-1,11,-24,11,-1,1', '106034,50944,-53538,2106,7209,-11512,6615,-2614,952,-210,53,-6,1', '196,1708,-6574,6368,1641,-5454,3404,-1590,627,-138,42,-4,1', '39200,18032,5658,8,120,-2,1', '626484,-12184,45976,6424,-284,-100,-40,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{2} + a + \\frac{1}{2} \\)', '\\( \\frac{1}{2} a^{3} - a^{2} - \\frac{3}{2} a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2', '1/2*a^3 - 1/2*a']}