Number field data - 16.0.10457596138654531584.1

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• 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, 5, 0, -2, 0, -22, 0, 43, 0, -40, 0, 22, 0, -7, 0, 1], 'conductor': 0, 'degree': 16, 'dirichlet_group': [], 'disc_abs': 10457596138654531584, 'disc_rad': 114, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[8, 2]]], [7, [[4, 2], [2, 4]]], [11, [[8, 2]]], [13, [[4, 3], [2, 1], [1, 2]]], [17, [[8, 2]]], [19, [0]], [23, [[4, 4]]], [29, [[8, 1], [4, 1], [2, 2]]], [31, [[4, 4]]], [37, [[4, 2], [2, 4]]], [41, [[8, 1], [4, 1], [2, 2]]], [43, [[2, 4], [1, 8]]], [47, [[4, 4]]], [53, [[8, 1], [4, 1], [2, 2]]], [59, [[4, 2], [2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '16T1347', 'galt': 1347, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '16.0.10457596138654531584.1', 'local_algs': ['2.2.4.16b3.8', '2.4.2.8a2.1', '3.2.8.14a1.2', '19.4.1.0a1.1', '19.4.1.0a1.1', '19.4.2.4a1.2'], 'maximal_cm_subfield': [1, -1, 1], 'minimal_sibling': [1, 0, -5, 0, -2, 0, 22, 0, 43, 0, 40, 0, 22, 0, 7, 0, 1], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 8, 'ramps': [2, 3, 19], 'rd': 15.4423891175, 'regulator': {'__RealLiteral__': 0, 'data': '2556.07087636', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1], 'subfields': ['1.-1.1', '4.2.-3.-1.1', '1.2.1.-1.-2.-1.1.-1.1'], 'torsion_gen': '\\( -a^{12} + 5 a^{10} - 12 a^{8} + 17 a^{6} - 13 a^{4} + 3 a^{2} + 2 \\)', 'torsion_order': 6, 'units': ['\\( a^{14} - 6 a^{12} + 17 a^{10} - 29 a^{8} + 30 a^{6} - 16 a^{4} + 2 a^{2} + 1 \\)', '\\( a^{15} - 7 a^{13} + 22 a^{11} - 41 a^{9} + 47 a^{7} - 30 a^{5} + 7 a^{3} + a \\)', '\\( a^{12} - 5 a^{10} + 12 a^{8} - 16 a^{6} + 11 a^{4} - a^{2} - 2 \\)', '\\( a^{11} + a^{10} - 4 a^{9} - 4 a^{8} + 8 a^{7} + 8 a^{6} - 9 a^{5} - 9 a^{4} + 4 a^{3} + 4 a^{2} + a + 1 \\)', '\\( 2 a^{15} - 2 a^{14} - 12 a^{13} + 12 a^{12} + 33 a^{11} - 33 a^{10} - 53 a^{9} + 53 a^{8} + 49 a^{7} - 49 a^{6} - 19 a^{5} + 20 a^{4} - 4 a^{3} + 2 a^{2} + 2 a - 1 \\)', '\\( 2 a^{15} - 14 a^{13} - a^{12} + 44 a^{11} + 6 a^{10} - 81 a^{9} - 16 a^{8} + 90 a^{7} + 25 a^{6} - 52 a^{5} - 22 a^{4} + 4 a^{3} + 8 a^{2} + 7 a + 2 \\)', '\\( a^{15} + 2 a^{14} - 6 a^{13} - 10 a^{12} + 17 a^{11} + 22 a^{10} - 28 a^{9} - 25 a^{8} + 27 a^{7} + 8 a^{6} - 12 a^{5} + 13 a^{4} - a^{3} - 10 a^{2} + a - 3 \\)'], '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', 'a^12', 'a^13', 'a^14', 'a^15']}