Number field data - 8.2.8671400783.1

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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
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [19, -27, 6, 23, -15, 1, 2, -1, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 8671400783, 'disc_rad': 799, 'disc_sign': -1, 'frobs': [[2, [[4, 2]]], [3, [[2, 4]]], [5, [[8, 1]]], [7, [[2, 4]]], [11, [[8, 1]]], [13, [[2, 3], [1, 2]]], [17, [0]], [19, [[2, 3], [1, 2]]], [23, [[8, 1]]], [29, [[8, 1]]], [31, [[8, 1]]], [37, [[2, 4]]], [41, [[8, 1]]], [43, [[2, 3], [1, 2]]], [47, [0]], [53, [[2, 4]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 28.26658805020514, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.2.8671400783.1', 'local_algs': ['17.1.2.1a1.1', '17.1.2.1a1.1', '17.1.2.1a1.1', '17.1.2.1a1.1', '47.1.1.0a1.1', '47.1.1.0a1.1', '47.1.2.1a1.1', '47.1.2.1a1.1', '47.1.2.1a1.1'], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 3, 'ramps': [17, 47], 'rd': 17.4687229639, 'regulator': {'__RealLiteral__': 0, 'data': '81.706186763', 'prec': 40}, 'res': {'gal': ['2448,8568,10208,3912,4393,-2374,2820,-2361,1614,-460,317,-118,6,15,4,-4,1'], 'sib': ['51,-25,50,-23,29,-9,8,-1,1', '2448,8568,10208,3912,4393,-2374,2820,-2361,1614,-460,317,-118,6,15,4,-4,1']}, 'subfield_mults': [1, 1], 'subfields': ['-4.-1.1', '-1.-8.9.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{12}{91} a^{7} - \\frac{53}{273} a^{6} + \\frac{7}{39} a^{5} - \\frac{20}{273} a^{4} - \\frac{571}{273} a^{3} + \\frac{43}{13} a^{2} + \\frac{328}{273} a - \\frac{379}{91} \\)', '\\( \\frac{2}{273} a^{7} - \\frac{8}{273} a^{6} + \\frac{4}{39} a^{5} + \\frac{3}{91} a^{4} + \\frac{34}{273} a^{3} + \\frac{5}{39} a^{2} - \\frac{184}{273} a + \\frac{75}{91} \\)', '\\( \\frac{16}{273} a^{7} + \\frac{9}{91} a^{6} + \\frac{2}{13} a^{5} + \\frac{163}{273} a^{4} - \\frac{92}{273} a^{3} + \\frac{1}{39} a^{2} + \\frac{530}{273} a - \\frac{128}{91} \\)', '\\( \\frac{22}{273} a^{7} + \\frac{1}{91} a^{6} + \\frac{5}{39} a^{5} + \\frac{33}{91} a^{4} - \\frac{118}{91} a^{3} + \\frac{29}{39} a^{2} + \\frac{524}{273} a - \\frac{346}{273} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/3*a^5 + 1/3*a^4 + 1/3*a^3 - 1/3*a^2 + 1/3', '1/3*a^6 + 1/3*a^3 + 1/3*a^2 + 1/3*a - 1/3', '1/273*a^7 - 4/273*a^6 + 2/39*a^5 - 44/91*a^4 + 17/273*a^3 - 17/39*a^2 - 92/273*a - 8/91']}