Number field data - 24.0.304383340063522342681884765625.1

Formats: - HTML - YAML - JSON - 2023-12-10T16:33:04.046353

• 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': True, 'coeffs': [1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, -1, 1], 'conductor': 35, 'degree': 24, 'dirichlet_group': [1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 16, 17, 18, 19, 22, 23, 24, 26, 27, 29, 31, 32, 33, 34], 'disc_abs': 304383340063522342681884765625, 'disc_rad': 35, 'disc_sign': 1, 'frobs': [[2, [[12, 2]]], [3, [[12, 2]]], [5, [0]], [7, [0]], [11, [[3, 8]]], [13, [[4, 6]]], [17, [[12, 2]]], [19, [[6, 4]]], [23, [[12, 2]]], [29, [[2, 12]]], [31, [[6, 4]]], [37, [[12, 2]]], [41, [[2, 12]]], [43, [[4, 6]]], [47, [[12, 2]]], [53, [[12, 2]]], [59, [[6, 4]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '24T2', 'galt': 2, 'index': 1, 'inessentialp': [], 'is_galois': True, 'iso_number': 1, 'label': '24.0.304383340063522342681884765625.1', 'local_algs': ['m5.4.6.18', 'm7.6.4.20'], 'monogenic': 1, 'num_ram': 2, 'r2': 12, 'ramps': [5, 7], 'rd': 16.9229421535, 'regulator': {'__RealLiteral__': 0, 'data': '1695832.8006211799', 'prec': 60}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['9.-1.1', '-1.-1.1', '2.-1.1', '1.-2.-1.1', '4.2.5.-1.1', '11.9.-9.-1.1', '1.-1.1.-1.1', '29.-22.22.-8.8.-1.1', '-1.-2.7.2.-7.-1.1', '1.-1.1.-1.1.-1.1', '16.-8.-4.6.-1.3.-1.-1.1', '1.1.2.3.5.8.13.-8.5.-3.2.-1.1', '1.8.-40.-46.110.71.-113.-43.54.11.-12.-1.1', '1.-2.5.-11.25.1.12.2.9.-4.3.-1.1'], 'torsion_gen': '\\( -a \\)', 'torsion_order': 70, 'units': ['\\( a^{16} + a^{2} \\)', '\\( a^{5} + 1 \\)', '\\( a^{20} + a^{5} \\)', '\\( a - 1 \\)', '\\( a^{2} - 1 \\)', '\\( a^{4} - 1 \\)', '\\( a^{6} - 1 \\)', '\\( a^{11} - 1 \\)', '\\( a^{8} - 1 \\)', '\\( a^{3} - 1 \\)', '\\( a^{23} - a^{22} - a^{21} + a^{18} + a^{16} - a^{15} - a^{14} - a^{12} + a^{11} + a^{9} - a^{7} - a^{5} + a^{3} + a^{2} - 1 \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23']}