Number field data - 8.2.5138202755072.11

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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], 'class_number': 2, 'cm': False, 'coeffs': [-428, 0, 312, 0, 134, 0, 20, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 5138202755072, 'disc_rad': 214, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[3, 2], [1, 2]]], [5, [[2, 3], [1, 2]]], [7, [[8, 1]]], [11, [[3, 2], [1, 2]]], [13, [[3, 2], [1, 2]]], [17, [[8, 1]]], [19, [[6, 1], [2, 1]]], [23, [[6, 1], [2, 1]]], [29, [[4, 2]]], [31, [[8, 1]]], [37, [[3, 2], [1, 2]]], [41, [[3, 2], [1, 2]]], [43, [[8, 1]]], [47, [[4, 2]]], [53, [[3, 2], [1, 2]]], [59, [[2, 3], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [132, 24], 'galois_label': '8T23', 'galt': 23, 'grd': 69.5864012402242, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 11, 'label': '8.2.5138202755072.11', 'local_algs': ['2.2.4.22a1.72', '107.1.1.0a1.1', '107.1.1.0a1.1', '107.1.2.1a1.1', '107.1.2.1a1.1', '107.1.2.1a1.1'], 'minimal_sibling': [-428, 0, -120, 0, -34, 0, -4, 0, 1], 'monogenic': 0, 'narrow_class_group': [4], 'narrow_class_number': 4, 'num_ram': 2, 'r2': 3, 'ramps': [2, 107], 'rd': 38.8017581778, 'regulator': {'__RealLiteral__': 0, 'data': '2843.67268928', 'prec': 44}, 'res': {'ae': ['-428,0,-120,0,-34,0,-4,0,1'], 'sib': ['-109568,0,390144,0,176000,0,421248,0,156496,0,179936,0,18440,0,6608,0,2528,0,744,0,178,0,20,0,1', '278784,0,578816,0,480608,0,207712,0,51428,0,7368,0,606,0,28,0,1']}, 'subfield_mults': [1], 'subfields': ['-1.-2.5.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{125} a^{6} + \\frac{33}{250} a^{4} + \\frac{9}{25} a^{2} - \\frac{158}{125} \\)', '\\( \\frac{1}{125} a^{6} + \\frac{33}{250} a^{4} + \\frac{9}{25} a^{2} - \\frac{33}{125} \\)', '\\( \\frac{41}{125} a^{7} - \\frac{17}{125} a^{6} + \\frac{839}{125} a^{5} - \\frac{1011}{250} a^{4} + \\frac{1154}{25} a^{3} - \\frac{988}{25} a^{2} + \\frac{15347}{125} a - \\frac{15764}{125} \\)', '\\( \\frac{17179846}{125} a^{7} - \\frac{69763436}{125} a^{6} + \\frac{343980584}{125} a^{5} - \\frac{932822994}{125} a^{4} + \\frac{309725964}{25} a^{3} - \\frac{384059154}{25} a^{2} - \\frac{1772342418}{125} a + \\frac{2682809163}{125} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/10*a^4 - 1/5*a^2 + 1/5', '1/10*a^5 - 1/5*a^3 + 1/5*a', '1/250*a^6 + 2/125*a^4 + 7/25*a^2 - 29/125', '1/250*a^7 + 2/125*a^5 + 7/25*a^3 - 29/125*a']}