Number field data - 10.4.9356737536.1

Formats: - HTML - YAML - JSON - 2025-10-22T13:07:29.100062

• 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[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  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': [-1, 0, 6, 2, -8, 0, 5, -2, -2, 0, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 9356737536, 'disc_rad': 6091626, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 1], [4, 1]]], [7, [[6, 1], [4, 1]]], [11, [[6, 1], [3, 1], [1, 1]]], [13, [[5, 2]]], [17, [[10, 1]]], [19, [[10, 1]]], [23, [[3, 2], [2, 2]]], [29, [[6, 1], [3, 1], [1, 1]]], [31, [[6, 1], [4, 1]]], [37, [[8, 1], [2, 1]]], [41, [[4, 1], [3, 2]]], [43, [[5, 1], [2, 1], [1, 3]]], [47, [[4, 2], [2, 1]]], [53, [[8, 1], [1, 2]]], [59, [[5, 1], [3, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [6804000, 1814400, 1814400, 1814400], 'galois_label': '10T45', 'galt': 45, 'grd': 6401.516361904466, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.4.9356737536.1', 'local_algs': ['2.5.2.10a7.1', '3.2.2.2a1.1', '3.6.1.0a1.1', '103.2.1.0a1.1', '103.1.2.1a1.2', '103.3.1.0a1.1', '103.3.1.0a1.1', 'm9857.1.1.0', 'm9857.1.2.0', 'm9857.2.1.1', 'm9857.1.5.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 3, 'ramps': [2, 3, 103, 9857], 'rd': 9.93373212931, 'regulator': {'__RealLiteral__': 0, 'data': '9.762718169346838', 'prec': 57}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 9 a^{9} - 6 a^{8} - 13 a^{7} - 9 a^{6} + 50 a^{5} - 35 a^{4} - 45 a^{3} + 47 a^{2} + 17 a - 11 \\)', '\\( a \\)', '\\( 7 a^{9} - 5 a^{8} - 11 a^{7} - 7 a^{6} + 40 a^{5} - 27 a^{4} - 37 a^{3} + 39 a^{2} + 16 a - 9 \\)', '\\( a^{9} - a^{7} - 2 a^{6} + 4 a^{5} - 2 a^{4} - 4 a^{3} + 2 a + 1 \\)', '\\( 7 a^{9} - 5 a^{8} - 11 a^{7} - 6 a^{6} + 40 a^{5} - 28 a^{4} - 39 a^{3} + 43 a^{2} + 14 a - 12 \\)', '\\( a^{9} - a^{7} - 2 a^{6} + 4 a^{5} - 2 a^{4} - 4 a^{3} + 2 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9']}