Number field data - 8.8.3797883801856.1

Formats: - HTML - YAML - JSON - 2024-05-12T00:18:31.320895

• 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
  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': [], 'class_number': 1, 'cm': False, 'coeffs': [64, 0, -131, 0, 74, 0, -15, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 3797883801856, 'disc_rad': 698, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 1], [2, 1]]], [5, [[3, 2], [1, 2]]], [7, [[3, 2], [1, 2]]], [11, [[4, 2]]], [13, [[3, 2], [1, 2]]], [17, [[4, 2]]], [19, [[6, 1], [2, 1]]], [23, [[6, 1], [2, 1]]], [29, [[3, 2], [1, 2]]], [31, [[4, 2]]], [37, [[2, 4]]], [41, [[4, 2]]], [43, [[3, 2], [1, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[6, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 16], 'galois_label': '8T12', 'galt': 12, 'grd': 99.1395508408829, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.8.3797883801856.1', 'local_algs': ['2.2.2.2', '2.6.6.5', 'm349.1.1.0', 'm349.1.1.0', 'm349.3.1.2', 'm349.3.1.2'], 'monogenic': 0, 'num_ram': 2, 'r2': 0, 'ramps': [2, 349], 'rd': 37.3630833845, 'regulator': {'__RealLiteral__': 0, 'data': '14077.7203941', 'prec': 44}, 'res': {'gal': ['64,0,-20128,0,359332,0,-1982011,0,5095480,0,-6854986,0,4880011,0,-1779319,0,354115,0,-39739,0,2476,0,-79,0,1']}, 'subfield_mults': [1], 'subfields': ['20.3.-10.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{8} a^{7} - \\frac{15}{8} a^{5} + \\frac{33}{4} a^{3} - \\frac{75}{8} a \\)', '\\( \\frac{1}{8} a^{7} - \\frac{7}{8} a^{5} + \\frac{1}{4} a^{3} + \\frac{21}{8} a \\)', '\\( \\frac{1}{2} a^{7} + a^{6} - \\frac{9}{2} a^{5} - 9 a^{4} + 9 a^{3} + 18 a^{2} - \\frac{5}{2} a - 7 \\)', '\\( \\frac{3}{8} a^{7} - a^{6} - \\frac{29}{8} a^{5} + 9 a^{4} + \\frac{39}{4} a^{3} - 21 a^{2} - \\frac{49}{8} a + 12 \\)', '\\( \\frac{1}{4} a^{7} - \\frac{15}{4} a^{5} + \\frac{33}{2} a^{3} - a^{2} - \\frac{71}{4} a + 7 \\)', '\\( \\frac{1}{4} a^{7} - \\frac{11}{4} a^{5} - a^{4} + \\frac{17}{2} a^{3} + 8 a^{2} - \\frac{27}{4} a - 11 \\)', '\\( \\frac{5}{8} a^{7} - a^{6} - \\frac{59}{8} a^{5} + 12 a^{4} + \\frac{93}{4} a^{3} - 39 a^{2} - \\frac{79}{8} a + 20 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/8*a^7 + 1/8*a^5 + 1/4*a^3 - 3/8*a']}