Number field data - 17.1.142063412679164600644.1

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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[]
  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, 3, 5, -8, -3, 13, -3, -11, 8, 6, -8, -1, 5, -1, -2, 1], 'conductor': 0, 'degree': 17, 'dirichlet_group': [], 'disc_abs': 142063412679164600644, 'disc_rad': 71031706339582300322, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[17, 1]]], [5, [[17, 1]]], [7, [[11, 1], [6, 1]]], [11, [[17, 1]]], [13, [[7, 2], [2, 1], [1, 1]]], [17, [[6, 1], [5, 1], [4, 1], [1, 2]]], [19, [[6, 1], [5, 1], [2, 3]]], [23, [[11, 1], [6, 1]]], [29, [[11, 1], [4, 1], [1, 2]]], [31, [[12, 1], [3, 1], [1, 2]]], [37, [[7, 1], [5, 2]]], [41, [[13, 1], [3, 1], [1, 1]]], [43, [[17, 1]]], [47, [[13, 1], [3, 1], [1, 1]]], [53, [[10, 1], [3, 1], [2, 1], [1, 2]]], [59, [[15, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [237124952064000, 177843714048000, 177843714048000], 'galois_label': '17T10', 'galt': 10, 'grd': 9460144926.331247, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '17.1.142063412679164600644.1', 'local_algs': ['2.3.2.1', '2.14.0.1', 'm1697.1.1.0', 'm1697.2.1.1', 'm1697.1.14.0', 'm20928611178427313.1.1.0', 'm20928611178427313.2.1.1', 'm20928611178427313.1.3.0', 'm20928611178427313.1.5.0', 'm20928611178427313.1.6.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 8, 'ramps': [2, 1697, 20928611178427313], 'rd': 15.3263991543, 'regulator': {'__RealLiteral__': 0, 'data': '1990.43257715', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{15} - 2 a^{14} - a^{13} + 5 a^{12} - a^{11} - 8 a^{10} + 6 a^{9} + 8 a^{8} - 11 a^{7} - 3 a^{6} + 13 a^{5} - 3 a^{4} - 7 a^{3} + 4 a^{2} + 2 a - 2 \\)', '\\( a^{16} - a^{15} - 3 a^{14} + 4 a^{13} + 3 a^{12} - 8 a^{11} + 11 a^{9} - 4 a^{8} - 9 a^{7} + 9 a^{6} + 4 a^{5} - 8 a^{4} + 2 a^{2} - a - 1 \\)', '\\( a^{15} - 2 a^{14} - a^{13} + 5 a^{12} - a^{11} - 8 a^{10} + 6 a^{9} + 8 a^{8} - 11 a^{7} - 3 a^{6} + 13 a^{5} - 3 a^{4} - 8 a^{3} + 5 a^{2} + 2 a - 2 \\)', '\\( a^{16} - 2 a^{15} - a^{14} + 5 a^{13} - a^{12} - 8 a^{11} + 6 a^{10} + 7 a^{9} - 9 a^{8} - 3 a^{7} + 11 a^{6} - 3 a^{5} - 5 a^{4} + 3 a^{3} + a^{2} - a \\)', '\\( a^{15} - 2 a^{14} + 2 a^{12} - 3 a^{10} + 2 a^{9} + 2 a^{8} - 2 a^{7} + a^{5} + a^{3} - 2 a^{2} + a \\)', '\\( 2 a^{15} - 3 a^{14} - 3 a^{13} + 7 a^{12} + 2 a^{11} - 12 a^{10} + 3 a^{9} + 14 a^{8} - 8 a^{7} - 9 a^{6} + 12 a^{5} + 4 a^{4} - 7 a^{3} + 4 a + 1 \\)', '\\( 2 a^{16} - 2 a^{15} - 5 a^{14} + 6 a^{13} + 6 a^{12} - 12 a^{11} - 3 a^{10} + 17 a^{9} - 2 a^{8} - 14 a^{7} + 10 a^{6} + 9 a^{5} - 8 a^{4} - 3 a^{3} + 3 a^{2} - 1 \\)'], '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', 'a^16']}