Number field data - 9.9.16983563041.1

Formats: - HTML - YAML - JSON - 2024-04-23T12:49:33.991781

• 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': [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1], 'conductor': 19, 'degree': 9, 'dirichlet_group': [1, 4, 5, 6, 7, 9, 11, 16, 17], 'disc_abs': 16983563041, 'disc_rad': 19, 'disc_sign': 1, 'frobs': [[2, [[9, 1]]], [3, [[9, 1]]], [5, [[9, 1]]], [7, [[3, 3]]], [11, [[3, 3]]], [13, [[9, 1]]], [17, [[9, 1]]], [19, [0]], [23, [[9, 1]]], [29, [[9, 1]]], [31, [[3, 3]]], [37, [[1, 9]]], [41, [[9, 1]]], [43, [[9, 1]]], [47, [[9, 1]]], [53, [[9, 1]]], [59, [[9, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [8], 'galois_label': '9T1', 'galt': 1, 'grd': 13.69840075203899, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.9.16983563041.1', 'local_algs': ['19.9.8.8'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [19], 'rd': 13.698400752, 'regulator': {'__RealLiteral__': 0, 'data': '87.132402653', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['7.-6.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{8} - 8 a^{6} + 20 a^{4} - 16 a^{2} + 2 \\)', '\\( a^{3} - 3 a \\)', '\\( a^{4} - 4 a^{2} + 2 \\)', '\\( a^{6} - 6 a^{4} + 10 a^{2} - 4 \\)', '\\( a^{6} - 6 a^{4} + 9 a^{2} - 2 \\)', '\\( a^{3} - 3 a - 1 \\)', '\\( a - 1 \\)', '\\( a^{2} - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8']}