Number field data - 6.0.10816.1

Formats: - HTML - YAML - JSON - 2023-09-25T19:15:52.487532

• 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_label	text
  galt	integer
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	integer[]
  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': [1, 2, 0, -2, -1, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 10816, 'disc_rad': 26, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [0]], [17, [[3, 1], [1, 3]]], [19, [[6, 1]]], [23, [[6, 1]]], [29, [[3, 1], [1, 3]]], [31, [[2, 3]]], [37, [[3, 1], [1, 3]]], [41, [[3, 1], [1, 3]]], [43, [[6, 1]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '6T5', 'galt': 5, 'index': 1, 'inessentialp': [], 'is_galois': False, 'iso_number': 1, 'label': '6.0.10816.1', 'local_algs': ['2.6.6.3', '13.3.0.1', '13.3.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 3, 'ramps': [2, 13], 'rd': 4.70266937544, 'regulator': {'__RealLiteral__': 0, 'data': '0.434147804699', 'prec': 47}, 'res': {'gal': ['1,0,8,0,22,0,39,0,57,0,55,0,29,0,12,0,5,0,1'], 'sex': ['-1,-4,-1,1', '12,-4,-1,1'], 'sib': ['-1,2,2,-5,1,5,-1,-2,-1,1', '1,0,8,0,22,0,39,0,57,0,55,0,29,0,12,0,5,0,1']}, 'subfield_mults': [1], 'subfields': ['1.0.1'], 'torsion_gen': '\\( -a^{5} + a^{4} + a^{3} + 2 a^{2} - 2 a - 2 \\)', 'torsion_order': 4, 'units': ['\\( 2 a^{5} - a^{4} - a^{3} - 3 a^{2} + a + 2 \\)', '\\( 2 a^{5} - a^{4} - a^{3} - 3 a^{2} + 2 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}