Number field data - 6.2.8453921.1

Formats: - HTML - YAML - JSON - 2024-05-05T14:41:46.595701

• 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': [-41, -39, -12, -15, 4, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 8453921, 'disc_rad': 3521, 'disc_sign': 1, 'frobs': [[2, [[3, 2]]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [0]], [11, [[3, 2]]], [13, [[2, 1], [1, 4]]], [17, [[3, 2]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[6, 1]]], [41, [[1, 6]]], [43, [[2, 2], [1, 2]]], [47, [[6, 1]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [20, 12], 'galois_label': '6T6', 'galt': 6, 'grd': 113.50953882820106, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.8453921.1', 'local_algs': ['7.6.5.5', 'm503.1.2.0', 'm503.1.2.0', 'm503.2.1.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [7, 503], 'rd': 14.2728170011, 'regulator': {'__RealLiteral__': 0, 'data': '13.296230431', 'prec': 40}, 'res': {'sex': ['-880,-1,1', '600,68,-10,-1,1'], 'sib': ['28561,-30758,30251,-9828,7177,-2660,1541,-448,67,-70,9,0,1', '3434936,-2837792,2707302,-997677,-33421,74557,-61802,8974,-2091,37,41,-4,1', '7056,0,-2345,0,217,0,14,0,1']}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{11}{452} a^{5} - \\frac{61}{452} a^{4} + \\frac{137}{452} a^{3} - \\frac{161}{226} a^{2} + \\frac{135}{226} a + \\frac{93}{452} \\)', '\\( \\frac{3}{452} a^{5} + \\frac{45}{452} a^{4} - \\frac{127}{452} a^{3} + \\frac{14}{113} a^{2} - \\frac{110}{113} a - \\frac{817}{452} \\)', '\\( \\frac{297}{452} a^{5} + \\frac{387}{452} a^{4} + \\frac{2343}{452} a^{3} + \\frac{708}{113} a^{2} + \\frac{1314}{113} a + \\frac{4093}{452} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a^2 - 1/2*a - 1/2', '1/452*a^5 + 15/452*a^4 - 193/452*a^3 - 33/113*a^2 + 1/113*a + 29/452']}