Number field data - 6.2.2382729125.1

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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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-65, 80, -74, 72, -16, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 2382729125, 'disc_rad': 2555, 'disc_sign': 1, 'frobs': [[2, [[2, 3]]], [3, [[6, 1]]], [5, [0]], [7, [0]], [11, [[2, 3]]], [13, [[2, 2], [1, 2]]], [17, [[2, 2], [1, 2]]], [19, [[2, 2], [1, 2]]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[6, 1]]], [37, [[2, 3]]], [41, [[2, 2], [1, 2]]], [43, [[3, 2]]], [47, [[2, 2], [1, 2]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 50.547007824400445, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.2382729125.1', 'local_algs': ['5.1.2.1a1.2', '5.2.2.2a1.2', '7.1.1.0a1.1', '7.1.1.0a1.1', '7.1.2.1a1.1', '7.1.2.1a1.1', '73.1.2.1a1.2', '73.2.2.2a1.2'], 'minimal_sibling': [64, -44, 23, 11, -10, -1, 1], 'monogenic': -1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 2, 'ramps': [5, 7, 73], 'rd': 36.5464989316, 'regulator': {'__RealLiteral__': 0, 'data': '368.877932803', 'prec': 44}, 'res': {'gal': ['170576,188664,172040,67050,29085,4654,508,-786,-179,-52,0,0,1'], 'sex': ['-4,14,-1,1', '2,-1,1', '0,1'], 'sib': ['64,-44,23,11,-10,-1,1']}, 'subfield_mults': [1, 1], 'subfields': ['-91.-1.1', '-4.14.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{20} a^{5} + \\frac{1}{20} a^{4} - \\frac{13}{20} a^{3} + \\frac{13}{20} a^{2} - \\frac{3}{4} a + \\frac{3}{4} \\)', '\\( \\frac{23}{140} a^{5} - \\frac{43}{140} a^{4} - \\frac{513}{140} a^{3} + \\frac{227}{28} a^{2} - \\frac{107}{28} a + \\frac{267}{28} \\)', '\\( \\frac{29}{140} a^{5} - \\frac{193}{140} a^{4} - \\frac{45}{28} a^{3} + \\frac{4449}{140} a^{2} - \\frac{2325}{28} a + \\frac{1551}{28} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2', '1/10*a^4 - 1/10*a^3 + 2/5*a^2 - 1/2*a - 1/2', '1/140*a^5 + 3/140*a^4 - 3/28*a^3 - 59/140*a^2 - 1/28*a - 3/28']}