Number field data - 7.1.6424482779.1

Formats: - HTML - YAML - JSON - 2024-04-24T06:39:04.301106

• 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': [344, -267, -3, 42, -7, 2, -3, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 6424482779, 'disc_rad': 143, 'disc_sign': -1, 'frobs': [[2, [[2, 3], [1, 1]]], [3, [[7, 1]]], [5, [[7, 1]]], [7, [[2, 3], [1, 1]]], [11, [0]], [13, [0]], [17, [[2, 3], [1, 1]]], [19, [[2, 3], [1, 1]]], [23, [[7, 1]]], [29, [[2, 3], [1, 1]]], [31, [[7, 1]]], [37, [[7, 1]]], [41, [[2, 3], [1, 1]]], [43, [[2, 3], [1, 1]]], [47, [[7, 1]]], [53, [[7, 1]]], [59, [[7, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [7, 12], 'galois_label': '7T2', 'galt': 2, 'grd': 29.888555773545594, 'index': 8, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '7.1.6424482779.1', 'local_algs': ['11.1.0.1', '11.2.1.2', '11.2.1.2', '11.2.1.2', '13.7.6.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 3, 'ramps': [11, 13], 'rd': 25.1837116719, 'regulator': {'__RealLiteral__': 0, 'data': '483.950728717', 'prec': 44}, 'res': {'gal': ['44,-396,1565,-3595,5518,-6205,5352,-3635,2060,-971,412,-137,38,-7,1'], 'sib': ['44,-396,1565,-3595,5518,-6205,5352,-3635,2060,-971,412,-137,38,-7,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1031}{5764} a^{6} - \\frac{835}{2882} a^{5} - \\frac{577}{5764} a^{4} - \\frac{2271}{1441} a^{3} + \\frac{30609}{5764} a^{2} + \\frac{9481}{1441} a - \\frac{54891}{1441} \\)', '\\( \\frac{3449}{5764} a^{6} - \\frac{1013}{1441} a^{5} - \\frac{991}{5764} a^{4} - \\frac{12993}{2882} a^{3} + \\frac{94927}{5764} a^{2} + \\frac{83307}{2882} a - \\frac{155307}{1441} \\)', '\\( \\frac{515}{5764} a^{6} - \\frac{117}{1441} a^{5} - \\frac{1261}{5764} a^{4} - \\frac{1734}{1441} a^{3} + \\frac{9439}{5764} a^{2} + \\frac{8880}{1441} a - \\frac{13417}{1441} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2 - 1/2*a', '1/2*a^4 - 1/2*a', '1/4*a^5 - 1/4*a^3 - 1/2*a^2 - 1/4*a', '1/5764*a^6 + 707/5764*a^5 - 937/5764*a^4 + 465/5764*a^3 + 203/5764*a^2 + 27/5764*a - 678/1441']}