Number field data - 12.0.60454515625.1

Formats: - HTML - YAML - JSON - 2024-06-17T15:50:56.093879

• 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': [1, 0, -3, -1, 5, 3, -5, -3, 4, 2, -2, -1, 1], 'conductor': 0, 'degree': 12, 'dirichlet_group': [], 'disc_abs': 60454515625, 'disc_rad': 9835, 'disc_sign': 1, 'frobs': [[2, [[6, 2]]], [3, [[8, 1], [4, 1]]], [5, [0]], [7, [0]], [11, [[4, 1], [3, 2], [2, 1]]], [13, [[8, 1], [4, 1]]], [17, [[6, 2]]], [19, [[6, 1], [4, 1], [1, 2]]], [23, [[8, 1], [4, 1]]], [29, [[3, 2], [2, 2], [1, 2]]], [31, [[6, 1], [2, 3]]], [37, [[8, 1], [4, 1]]], [41, [[6, 1], [4, 1], [1, 2]]], [43, [[6, 2]]], [47, [[8, 1], [4, 1]]], [53, [[6, 2]]], [59, [[4, 1], [2, 3], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1152, 1152, 1152], 'galois_label': '12T236', 'galt': 236, 'grd': 99.17156850630124, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.0.60454515625.1', 'local_algs': ['5.12.6.1', '7.2.0.1', '7.2.0.1', '7.4.0.1', '7.4.2.2', 'm281.1.1.0', 'm281.1.1.0', 'm281.1.1.0', 'm281.1.1.0', 'm281.1.2.0', 'm281.1.2.0', 'm281.2.2.2'], 'minimal_sibling': [1, -2, 10, -8, -28, 45, 12, -46, 4, 20, -5, -3, 1], 'monogenic': 1, 'num_ram': 3, 'r2': 6, 'ramps': [5, 7, 281], 'rd': 7.91502690536, 'regulator': {'__RealLiteral__': 0, 'data': '1.47630310859', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '1.0.-1.2.-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{11} - a^{10} - a^{9} + a^{8} + 2 a^{7} - a^{6} - 2 a^{5} + a^{4} + a^{3} + a^{2} \\)', '\\( a^{11} - 2 a^{9} - a^{8} + 5 a^{7} + 2 a^{6} - 6 a^{5} - 3 a^{4} + 6 a^{3} + 4 a^{2} - 2 a - 2 \\)', '\\( a^{11} - a^{10} - 2 a^{9} + 2 a^{8} + 3 a^{7} - 2 a^{6} - 4 a^{5} + 2 a^{4} + 3 a^{3} - a - 1 \\)', '\\( a^{11} - a^{10} - a^{9} + a^{8} + 2 a^{7} - a^{6} - a^{5} + a^{3} + a^{2} + a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11']}