Number field data - 6.2.33362176000.17

Formats: - HTML - YAML - JSON - 2025-01-03T00:45:30.137893

• 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': [6], 'class_number': 6, 'cm': False, 'coeffs': [96, 928, 264, 104, -41, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 33362176000, 'disc_rad': 190, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 2], [1, 2]]], [5, [0]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[1, 6]]], [17, [[2, 3]]], [19, [0]], [23, [[6, 1]]], [29, [[2, 3]]], [31, [[2, 2], [1, 2]]], [37, [[3, 2]]], [41, [[3, 2]]], [43, [[2, 2], [1, 2]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [24, 6, 8], 'galois_label': '6T3', 'galt': 3, 'grd': 63.686501757102, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 17, 'label': '6.2.33362176000.17', 'local_algs': ['2.2.3.2', '2.4.8.1', '5.2.1.2', '5.2.1.2', '5.2.1.2', '19.6.4.2'], 'minimal_sibling': [676, 0, 88, 0, 13, 0, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [2, 5, 19], 'rd': 56.7382227782, 'regulator': {'__RealLiteral__': 0, 'data': '1930.10889493', 'prec': 44}, 'res': {'gal': ['1638400,0,0,0,78336,0,0,0,-327,0,0,0,1'], 'sex': ['0,1', '1,0,1', '26,-6,-1,1'], 'sib': ['676,0,88,0,13,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-10.0.1', '26.-6.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{101}{16040} a^{5} - \\frac{69}{4010} a^{4} - \\frac{4177}{16040} a^{3} + \\frac{6941}{8020} a^{2} + \\frac{4017}{2005} a + \\frac{12763}{2005} \\)', '\\( \\frac{31503}{3208} a^{5} - \\frac{20472}{2005} a^{4} - \\frac{1456407}{3208} a^{3} + \\frac{5784361}{8020} a^{2} + \\frac{3980917}{802} a + \\frac{13700123}{2005} \\)', '\\( \\frac{9979}{16040} a^{5} - \\frac{25041}{4010} a^{4} - \\frac{315503}{16040} a^{3} + \\frac{1852099}{8020} a^{2} - \\frac{870332}{2005} a - \\frac{98023}{2005} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a', '1/20*a^4 + 3/20*a^2 - 1/2*a - 1/5', '1/16040*a^5 - 46/2005*a^4 - 3297/16040*a^3 + 1903/8020*a^2 + 1489/4010*a + 309/2005']}