Number field data - 4.2.2943.1

Formats: - HTML - YAML - JSON - 2024-05-28T17:17:19.275344

• 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
  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': [-2, -1, 0, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 2943, 'disc_rad': 327, 'disc_sign': -1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [0]], [5, [[4, 1]]], [7, [[3, 1], [1, 1]]], [11, [[2, 2]]], [13, [[4, 1]]], [17, [[3, 1], [1, 1]]], [19, [[4, 1]]], [23, [[3, 1], [1, 1]]], [29, [[2, 1], [1, 2]]], [31, [[3, 1], [1, 1]]], [37, [[4, 1]]], [41, [[3, 1], [1, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 2]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [18, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 23.7987523638325, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.2943.1', 'local_algs': ['3.4.3.2', '109.1.0.1', '109.1.0.1', '109.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [3, 109], 'rd': 7.36542082709, 'regulator': {'__RealLiteral__': 0, 'data': '3.1893652555', 'prec': 40}, 'res': {'gal': ['8824,-35156,74988,-112109,138639,-141696,122441,-86551,52635,-28186,16473,-8586,6194,-4756,3336,-1986,988,-381,75,-10,27,-33,19,-6,1'], 'sib': ['1,-4,7,-8,7,-22,11,-22,7,-8,7,-4,1', '1,-9,9,-1,3,-3,1', '112,-272,308,-62,7,26,-4,-4,1', '5,1,-3,3,1,-3,1', '88,-332,670,-821,647,-308,55,11,5,-13,10,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} - a - 1 \\)', '\\( a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}