Number field data - 6.2.1083392.1

Formats: - HTML - YAML - JSON - 2024-06-13T04:37:16.954399

• 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': [2, -8, 0, 4, -1, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1083392, 'disc_rad': 46, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[6, 1]]], [7, [[2, 2], [1, 2]]], [11, [[2, 3]]], [13, [[6, 1]]], [17, [[3, 2]]], [19, [[6, 1]]], [23, [0]], [29, [[6, 1]]], [31, [[2, 2], [1, 2]]], [37, [[2, 3]]], [41, [[3, 2]]], [43, [[6, 1]]], [47, [[2, 2], [1, 2]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [72, 24], 'galois_label': '6T9', 'galt': 9, 'grd': 32.350317596360256, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.1083392.1', 'local_algs': ['2.2.3.1', '2.4.8.2', '23.1.0.1', '23.2.0.1', '23.3.2.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [2, 23], 'rd': 10.1343897876, 'regulator': {'__RealLiteral__': 0, 'data': '12.3920171623', 'prec': 44}, 'res': {'gal': ['4096,0,116736,0,1020160,0,2616576,0,-4769344,0,5837120,0,-3913212,0,2036696,0,-840104,0,523964,0,-379767,0,237988,0,-104536,0,30180,0,-5374,0,340,0,80,0,-16,0,1'], 'sex': ['-29,-15,-1,1', '-6,8,-1,1'], 'sib': ['-56,-24,122,6,-104,20,31,-9,-3,1', '-8,0,-28,0,304,0,2808,0,-582,0,25,0,-34,0,6,0,-4,0,1', '8,-56,196,-488,1368,-3424,5336,-3400,1154,-50,-243,330,-198,66,-6,-6,8,-4,1', '8,0,-12,20,9,-32,10,16,-14,0,6,-4,1', '8,0,-28,0,-304,0,2808,0,582,0,25,0,34,0,6,0,4,0,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{3}{14} a^{5} - \\frac{5}{14} a^{4} + \\frac{6}{7} a^{2} - \\frac{5}{7} a - \\frac{2}{7} \\)', '\\( \\frac{3}{14} a^{5} - \\frac{5}{14} a^{4} - \\frac{1}{7} a^{2} + \\frac{2}{7} a - \\frac{2}{7} \\)', '\\( \\frac{1}{14} a^{5} + \\frac{3}{14} a^{4} - a^{3} + \\frac{2}{7} a^{2} + \\frac{17}{7} a - \\frac{24}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/14*a^5 + 3/14*a^4 + 2/7*a^2 + 3/7*a - 3/7']}