Number field data - 8.0.466503598080000.11

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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, 4], 'class_number': 8, 'cm': False, 'coeffs': [292500, 0, -51000, 0, 3550, 0, -100, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 466503598080000, 'disc_rad': 390, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[2, 3], [1, 2]]], [11, [[8, 1]]], [13, [0]], [17, [[2, 4]]], [19, [[2, 3], [1, 2]]], [23, [[2, 4]]], [29, [[2, 4]]], [31, [[2, 3], [1, 2]]], [37, [[2, 3], [1, 2]]], [41, [[8, 1]]], [43, [[4, 2]]], [47, [[8, 1]]], [53, [[2, 4]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [44, 8, 8, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 93.9398351563814, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 11, 'label': '8.0.466503598080000.11', 'local_algs': ['2.2.4.22a1.72', '3.2.2.2a1.2', '3.2.2.2a1.2', '5.4.2.4a1.1', '13.1.1.0a1.1', '13.1.1.0a1.1', '13.1.2.1a1.1', '13.1.2.1a1.1', '13.1.2.1a1.1'], 'maximal_cm_subfield': [1, -1, 1], 'monogenic': 0, 'narrow_class_group': [2, 4], 'narrow_class_number': 8, 'num_ram': 4, 'r2': 4, 'ramps': [2, 3, 5, 13], 'rd': 68.1721317613, 'regulator': {'__RealLiteral__': 0, 'data': '7217.53060799', 'prec': 44}, 'res': {'gal': ['4556250000,0,-742500000,0,171625000,0,150000,0,1290000,0,-67000,0,2850,0,-60,0,1'], 'sib': ['-67500,0,-11000,0,750,0,60,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '52.0.-14.0.1'], 'torsion_gen': '\\( -\\frac{1}{4875} a^{6} + \\frac{31}{1950} a^{4} - \\frac{82}{195} a^{2} + 4 \\)', 'torsion_order': 6, 'units': ['\\( \\frac{7}{9750} a^{6} - \\frac{167}{1950} a^{4} + \\frac{677}{195} a^{2} - 48 \\)', '\\( \\frac{97}{1950} a^{7} + \\frac{528}{1625} a^{6} - \\frac{7381}{1950} a^{5} - \\frac{15783}{650} a^{4} + \\frac{15751}{195} a^{3} + \\frac{28567}{65} a^{2} - 792 a - 2249 \\)', '\\( \\frac{3619}{29250} a^{7} - \\frac{5348}{4875} a^{6} - \\frac{24953}{5850} a^{5} + \\frac{104753}{1950} a^{4} + \\frac{1739}{585} a^{3} - \\frac{146972}{195} a^{2} + \\frac{2750}{3} a + 1613 \\)'], 'used_grh': True, 'zk': ['1', 'a', '1/5*a^2', '1/5*a^3', '1/50*a^4', '1/50*a^5', '1/9750*a^6 + 2/975*a^4 + 2/195*a^2', '1/29250*a^7 + 2/2925*a^5 + 2/585*a^3 - 1/3*a']}