Number field data - 10.10.911025153125.1

Formats: - HTML - YAML - JSON - 2025-11-07T13:14:58.227440

• 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, -4, 5, 27, -3, -41, 2, 22, -3, -4, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 911025153125, 'disc_rad': 1457640245, 'disc_sign': 1, 'frobs': [[2, [[10, 1]]], [3, [[10, 1]]], [5, [0]], [7, [[4, 2], [2, 1]]], [11, [[5, 1], [3, 1], [2, 1]]], [13, [[4, 1], [2, 3]]], [17, [[4, 2], [2, 1]]], [19, [[5, 1], [4, 1], [1, 1]]], [23, [[4, 2], [2, 1]]], [29, [[5, 1], [4, 1], [1, 1]]], [31, [[5, 1], [3, 1], [1, 2]]], [37, [[8, 1], [2, 1]]], [41, [[5, 1], [2, 2], [1, 1]]], [43, [[6, 1], [4, 1]]], [47, [[6, 1], [2, 2]]], [53, [[8, 1], [2, 1]]], [59, [[4, 1], [3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [14400, 14400, 14400], 'galois_label': '10T43', 'galt': 43, 'grd': 38179.05505640495, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.10.911025153125.1', 'local_algs': ['5.2.2.2a1.2', '5.3.2.3a1.2', 'm419.1.1.0', 'm419.2.1.1', 'm419.1.3.0', 'm419.1.4.0', 'm695771.1.1.0', 'm695771.1.1.0', 'm695771.2.1.1', 'm695771.1.3.0', 'm695771.1.3.0'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 0, 'ramps': [5, 419, 695771], 'rd': 15.7019299952, 'regulator': {'__RealLiteral__': 0, 'data': '314.60686502', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 3 a^{9} - 13 a^{8} - 5 a^{7} + 69 a^{6} - 17 a^{5} - 121 a^{4} + 32 a^{3} + 72 a^{2} - 8 a - 8 \\)', '\\( a \\)', '\\( 3 a^{9} - 13 a^{8} - 5 a^{7} + 69 a^{6} - 16 a^{5} - 125 a^{4} + 33 a^{3} + 81 a^{2} - 13 a - 11 \\)', '\\( 4 a^{9} - 18 a^{8} - 3 a^{7} + 89 a^{6} - 34 a^{5} - 148 a^{4} + 53 a^{3} + 87 a^{2} - 14 a - 10 \\)', '\\( a^{7} - 5 a^{6} + 3 a^{5} + 15 a^{4} - 14 a^{3} - 12 a^{2} + 7 a + 3 \\)', '\\( 3 a^{9} - 13 a^{8} - 4 a^{7} + 64 a^{6} - 14 a^{5} - 106 a^{4} + 18 a^{3} + 60 a^{2} - a - 5 \\)', '\\( 2 a^{9} - 9 a^{8} - 2 a^{7} + 47 a^{6} - 19 a^{5} - 80 a^{4} + 35 a^{3} + 45 a^{2} - 12 a - 5 \\)', '\\( 5 a^{9} - 22 a^{8} - 6 a^{7} + 111 a^{6} - 32 a^{5} - 190 a^{4} + 53 a^{3} + 116 a^{2} - 16 a - 16 \\)', '\\( 3 a^{9} - 14 a^{8} + a^{7} + 62 a^{6} - 33 a^{5} - 92 a^{4} + 42 a^{3} + 48 a^{2} - 10 a - 6 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9']}