Number field data - 6.6.525515088384.1

Formats: - HTML - YAML - JSON - 2024-12-26T16:28:27.712233

• 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
  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': [3, 6], 'class_number': 18, 'cm': False, 'coeffs': [-9504, 0, 1600, 0, -74, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 525515088384, 'disc_rad': 858, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[3, 2]]], [7, [[2, 3]]], [11, [0]], [13, [0]], [17, [[3, 2]]], [19, [[3, 2]]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[2, 3]]], [41, [[1, 6]]], [43, [[1, 6]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 3, 3, 4], 'galois_label': '6T2', 'galt': 2, 'grd': 89.83195783382237, 'index': 8, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.6.525515088384.1', 'local_algs': ['2.2.3.1', '2.2.3.1', '2.2.3.1', '3.2.1.1', '3.2.1.1', '3.2.1.1', '11.2.1.2', '11.2.1.2', '11.2.1.2', '13.3.2.2', '13.3.2.2'], 'minimal_sibling': [12, -56, -1, 1], 'monogenic': -1, 'num_ram': 4, 'r2': 0, 'ramps': [2, 3, 11, 13], 'rd': 89.8319578338, 'regulator': {'__RealLiteral__': 0, 'data': '8313.38513509', 'prec': 44}, 'res': {'sex': ['12,-56,-1,1', '0,1', '0,1', '0,1'], 'sib': ['12,-56,-1,1']}, 'subfield_mults': [1, 3], 'subfields': ['-66.0.1', '12.-56.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{96} a^{5} - \\frac{1}{16} a^{4} - \\frac{19}{48} a^{3} + \\frac{19}{8} a^{2} + \\frac{29}{12} a - \\frac{31}{2} \\)', '\\( \\frac{1}{64} a^{5} - \\frac{1}{32} a^{4} - \\frac{31}{32} a^{3} + \\frac{39}{16} a^{2} + \\frac{115}{8} a - \\frac{163}{4} \\)', '\\( \\frac{1}{64} a^{5} + \\frac{1}{32} a^{4} - \\frac{31}{32} a^{3} - \\frac{39}{16} a^{2} + \\frac{115}{8} a + \\frac{163}{4} \\)', '\\( \\frac{17}{192} a^{5} - \\frac{3}{32} a^{4} - \\frac{503}{96} a^{3} + \\frac{61}{16} a^{2} + \\frac{1639}{24} a - \\frac{13}{4} \\)', '\\( \\frac{17}{192} a^{5} + \\frac{3}{32} a^{4} - \\frac{503}{96} a^{3} - \\frac{61}{16} a^{2} + \\frac{1639}{24} a + \\frac{13}{4} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/4*a^3 - 1/2*a', '1/32*a^4 - 1/8*a^3 - 3/16*a^2 + 1/4*a + 1/4', '1/192*a^5 + 5/96*a^3 - 1/4*a^2 - 7/24*a - 1/2']}