Number field data - 5.1.53824.1

Formats: - HTML - YAML - JSON - 2024-05-02T15:37:59.939565

• 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, 3, -2, -2, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 53824, 'disc_rad': 58, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[5, 1]]], [5, [[5, 1]]], [7, [[3, 1], [1, 2]]], [11, [[5, 1]]], [13, [[3, 1], [1, 2]]], [17, [[5, 1]]], [19, [[5, 1]]], [23, [[2, 2], [1, 1]]], [29, [0]], [31, [[5, 1]]], [37, [[3, 1], [1, 2]]], [41, [[5, 1]]], [43, [[2, 2], [1, 1]]], [47, [[3, 1], [1, 2]]], [53, [[2, 2], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [90, 40], 'galois_label': '5T4', 'galt': 4, 'grd': 26.697893241960433, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.53824.1', 'local_algs': ['2.1.0.1', '2.4.6.7', '29.2.0.1', '29.3.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 29], 'rd': 8.834768905, 'regulator': {'__RealLiteral__': 0, 'data': '6.23781662192', 'prec': 44}, 'res': {'sib': ['-1,4,-2,-14,10,8,-11,4,5,-2,1', '2,-4,6,-50,225,-550,1078,-1830,2856,-4092,5242,-5814,5465,-4298,2800,-1494,643,-218,56,-10,1', '23,-42,29,5,15,-100,109,47,-90,18,30,-6,-11,2,-1,1', '25,0,174,0,301,0,58,0,2,0,0,0,1', '3,-10,10,-10,7,-2,1', '409,-1840,4787,-6868,3116,9976,-27361,35848,-26830,6604,9274,-13250,13200,-19344,31722,-41330,42305,-36490,28439,-21174,15528,-11128,7575,-4752,2675,-1314,549,-190,52,-10,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - a^{3} - a^{2} - a + 3 \\)', '\\( a^{2} - a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}