Number field data - 6.2.733001728.5

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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': [-20, -64, -42, -28, -4, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 733001728, 'disc_rad': 142, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[4, 1], [1, 2]]], [7, [[3, 2]]], [11, [[2, 3]]], [13, [[3, 2]]], [17, [[2, 3]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[2, 3]]], [41, [[4, 1], [1, 2]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[2, 2], [1, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 18], 'galois_label': '6T8', 'galt': 8, 'grd': 97.83714091452357, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 5, 'label': '6.2.733001728.5', 'local_algs': ['2.1.2.3a1.1', '2.1.4.8b1.1', '71.2.1.0a1.1', '71.1.4.3a1.2'], 'minimal_sibling': [324, 248, 37, -2, 1], 'monogenic': 0, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 2, 'r2': 2, 'ramps': [2, 71], 'rd': 30.0273841271, 'regulator': {'__RealLiteral__': 0, 'data': '182.973343584', 'prec': 44}, 'res': {'gal': ['60886809,0,108383670,0,118810890,0,79219142,0,25467727,0,2903700,0,-798868,0,-283532,0,119703,0,-17994,0,1418,0,-58,0,1'], 'sex': ['0,1', '0,1', '324,248,37,-2,1'], 'sib': ['324,248,37,-2,1', '-10144,-12096,-2912,-6704,-510,-212,-866,588,-293,132,-18,-4,1', '-976,-712,-32,-68,14,-1,1', '118432,171680,101912,24064,-7020,-4016,744,784,120,-48,-6,0,1', '5184,0,-1984,0,148,0,4,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.-6.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{9} a^{5} - \\frac{1}{9} a^{4} - \\frac{1}{3} a^{3} - \\frac{25}{9} a^{2} - \\frac{26}{9} a - \\frac{47}{9} \\)', '\\( \\frac{2}{9} a^{5} + \\frac{1}{9} a^{4} - \\frac{4}{3} a^{3} - \\frac{62}{9} a^{2} - \\frac{88}{9} a - \\frac{73}{9} \\)', '\\( \\frac{382}{9} a^{5} - \\frac{148}{9} a^{4} - \\frac{490}{3} a^{3} - \\frac{10126}{9} a^{2} - \\frac{12128}{9} a - \\frac{19763}{9} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/6*a^4 - 1/3*a^3 + 1/3*a^2 - 1/3', '1/18*a^5 - 1/18*a^4 + 1/3*a^3 + 1/9*a^2 - 4/9*a - 1/9']}