Number field data - 8.0.1024000000.6

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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
  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': [36, 0, -56, 0, 16, 0, 4, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1024000000, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 4]]], [5, [0]], [7, [[2, 4]]], [11, [[2, 4]]], [13, [[4, 2]]], [17, [[4, 2]]], [19, [[2, 4]]], [23, [[2, 4]]], [29, [[1, 8]]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[2, 4]]], [43, [[2, 4]]], [47, [[2, 4]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 6], 'galois_label': '8T4', 'galt': 4, 'grd': 13.37480609952844, 'inessentialp': [3], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 6, 'label': '8.0.1024000000.6', 'local_algs': ['2.8.16.5', '5.4.3.2', '5.4.3.2'], 'minimal_sibling': [-20, 0, 0, 0, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 4, 'ramps': [2, 5], 'rd': 13.3748060995, 'regulator': {'__RealLiteral__': 0, 'data': '24.6646630038', 'prec': 44}, 'res': {'sib': ['-20,0,0,0,1', '5,0,0,0,1']}, 'subfield_mults': [1, 1, 1, 1, 2, 2], 'subfields': ['1.0.1', '5.0.1', '-1.-1.1', '1.0.3.0.1', '5.0.0.0.1', '-20.0.0.0.1'], 'torsion_gen': '\\( \\frac{5}{24} a^{7} + \\frac{13}{12} a^{5} + \\frac{55}{12} a^{3} - \\frac{20}{3} a \\)', 'torsion_order': 4, 'units': ['\\( \\frac{5}{48} a^{7} - \\frac{1}{4} a^{6} + \\frac{13}{24} a^{5} - \\frac{5}{4} a^{4} + \\frac{55}{24} a^{3} - \\frac{11}{2} a^{2} - \\frac{10}{3} a + 8 \\)', '\\( \\frac{19}{48} a^{7} + \\frac{3}{8} a^{6} + \\frac{47}{24} a^{5} + \\frac{15}{8} a^{4} + \\frac{197}{24} a^{3} + 8 a^{2} - \\frac{85}{6} a - \\frac{51}{4} \\)', '\\( \\frac{1}{48} a^{7} + \\frac{1}{12} a^{5} - \\frac{1}{8} a^{4} + \\frac{5}{24} a^{3} - \\frac{1}{4} a^{2} - \\frac{11}{12} a - \\frac{1}{4} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/8*a^4 + 1/4*a^2 - 1/2*a - 1/4', '1/8*a^5 + 1/4*a^3 - 1/2*a^2 - 1/4*a', '1/8*a^6 - 1/2*a^3 + 1/4*a^2 - 1/2', '1/48*a^7 - 1/24*a^5 - 1/24*a^3 - 1/2*a^2 - 1/6*a - 1/2']}