Number field data - 7.7.1817487424.1

Formats: - HTML - YAML - JSON - 2025-04-24T09:24:15.614982

• 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
  relative_class_number	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': [-2, -6, 6, 16, -2, -8, 0, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 1817487424, 'disc_rad': 146, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[7, 1]]], [5, [[3, 2], [1, 1]]], [7, [[7, 1]]], [11, [[3, 2], [1, 1]]], [13, [[3, 2], [1, 1]]], [17, [[7, 1]]], [19, [[3, 2], [1, 1]]], [23, [[3, 2], [1, 1]]], [29, [[3, 2], [1, 1]]], [31, [[3, 2], [1, 1]]], [37, [[3, 2], [1, 1]]], [41, [[3, 2], [1, 1]]], [43, [[7, 1]]], [47, [[3, 2], [1, 1]]], [53, [[3, 2], [1, 1]]], [59, [[3, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [18, 14], 'galois_label': '7T3', 'galt': 3, 'grd': 31.640326082417378, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '7.7.1817487424.1', 'local_algs': ['2.7.6.1', '73.1.0.1', '73.3.2.1', '73.3.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 73], 'rd': 21.0272089633, 'regulator': {'__RealLiteral__': 0, 'data': '346.793700867', 'prec': 44}, 'res': {'gal': ['-1,-10,399,-1399,-9947,58226,-74030,-52267,164304,-52599,-103109,77939,16294,-31996,4781,5310,-1890,-267,208,-13,-7,1'], 'sib': ['-1,-10,399,-1399,-9947,58226,-74030,-52267,164304,-52599,-103109,77939,16294,-31996,4781,5310,-1890,-267,208,-13,-7,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 1 \\)', '\\( a^{2} + a - 1 \\)', '\\( a^{6} - a^{5} - 7 a^{4} + 5 a^{3} + 12 a^{2} - 6 a - 3 \\)', '\\( a^{2} - a - 1 \\)', '\\( a^{6} - 8 a^{4} - 2 a^{3} + 15 a^{2} + 5 a - 3 \\)', '\\( a^{6} - 8 a^{4} - a^{3} + 15 a^{2} + 2 a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6']}