Number field data - 24.0.1312855308850436212414726439933209.1

Formats: - HTML - YAML - JSON - 2023-12-05T18:00:46.666504

• 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 24, 'dirichlet_group': [], 'disc_abs': 1312855308850436212414726439933209, 'disc_rad': 1312855308850436212414726439933209, 'disc_sign': 1, 'frobs': [[2, [[21, 1], [3, 1]]], [3, [[23, 1], [1, 1]]], [5, [[11, 1], [9, 1], [3, 1], [1, 1]]], [7, [[23, 1], [1, 1]]], [11, [[9, 1], [8, 1], [6, 1], [1, 1]]], [13, [[11, 1], [9, 1], [3, 1], [1, 1]]], [17, [[12, 1], [8, 1], [3, 1], [1, 1]]], [19, [[18, 1], [6, 1]]], [23, [[3, 8]]], [29, [[18, 1], [6, 1]]], [31, [[16, 1], [7, 1], [1, 1]]], [37, [[12, 2]]], [41, [[20, 1], [3, 1], [1, 1]]], [43, [[21, 1], [2, 1], [1, 1]]], [47, [[21, 1], [3, 1]]], [53, [[6, 2], [4, 2], [3, 1], [1, 1]]], [59, [[18, 1], [3, 1], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '24T25000', 'galt': 25000, 'index': 1, 'inessentialp': [], 'is_galois': False, 'iso_number': 1, 'label': '24.0.1312855308850436212414726439933209.1', 'local_algs': ['m6361.1.2.0', 'm6361.2.1.1', 'm6361.1.20.0', 'm61167766669.1.1.0', 'm61167766669.1.1.0', 'm61167766669.1.1.0', 'm61167766669.1.1.0', 'm61167766669.1.2.0', 'm61167766669.2.1.1', 'm61167766669.1.16.0', 'm3374184647743911301.2.1.1', 'm3374184647743911301.1.3.0', 'm3374184647743911301.1.6.0', 'm3374184647743911301.1.6.0', 'm3374184647743911301.1.7.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 12, 'ramps': [6361, 61167766669, 3374184647743911301], 'rd': 23.984225717, 'regulator': {'__RealLiteral__': 0, 'data': '9163307.175032053', 'prec': 57}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{23} - 1 \\)', '\\( a^{8} + 1 \\)', '\\( a^{23} + a^{22} + a^{21} + a^{20} + a^{7} - 1 \\)', '\\( a^{23} + a^{22} + a^{21} + a^{20} + a^{19} + a^{18} + a^{17} + a^{16} + a^{15} + a^{14} + a^{12} + a^{10} - 1 \\)', '\\( a^{18} + a^{17} + a^{16} + a^{15} + a^{14} - a^{10} + a^{5} - 1 \\)', '\\( a^{11} + a^{8} + a^{5} \\)', '\\( a^{23} + a^{22} + a^{21} + a^{20} - a^{8} + a^{2} - 1 \\)', '\\( a^{23} + a^{22} + a^{21} + a^{20} + a^{19} + a^{18} + a^{17} + a^{16} + a^{15} + a^{14} + a^{12} + a^{11} + a^{9} + a^{6} - 1 \\)', '\\( 2 a^{23} + 2 a^{22} + a^{21} + a^{20} + a^{19} + a^{18} + a^{17} + a^{16} + a^{15} - a^{11} - a^{4} - a - 2 \\)', '\\( a^{21} + a^{20} + a^{15} + a^{10} - a^{7} - a^{6} - a + 1 \\)', '\\( a^{21} + a^{18} + a^{15} + a^{14} - a^{13} + a^{11} + a^{8} - a^{7} + a^{5} - a^{3} + a^{2} + a - 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']}