Number field data - 8.0.5904900000000.1

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• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [55, -30, -50, 10, 30, -2, -8, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 5904900000000, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[7, 1], [1, 1]]], [11, [[7, 1], [1, 1]]], [13, [[4, 2]]], [17, [[3, 1], [2, 2], [1, 1]]], [19, [[3, 1], [2, 2], [1, 1]]], [23, [[6, 1], [2, 1]]], [29, [[5, 1], [3, 1]]], [31, [[3, 1], [2, 2], [1, 1]]], [37, [[6, 1], [2, 1]]], [41, [[3, 1], [2, 2], [1, 1]]], [43, [[4, 2]]], [47, [[6, 1], [2, 1]]], [53, [[7, 1], [1, 1]]], [59, [[7, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [22320, 42000, 32256], 'galois_label': '8T49', 'galt': 49, 'grd': 279.0216036308045, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.5904900000000.1', 'local_algs': ['2.8.8.13', '3.2.0.1', '3.6.10.12', '5.1.0.1', '5.1.0.1', '5.1.0.1', '5.5.8.6'], 'monogenic': 0, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 5], 'rd': 39.4822203886, 'regulator': {'__RealLiteral__': 0, 'data': '2683.86166284', 'prec': 44}, 'res': {'sib': ['-1821968,5391975,13819320,6993515,-1061520,-2324241,-1301810,-293265,73170,49345,5538,-1035,-220,-15,0,1', '-4074921271874925,28608488279851125,-56573609636940875,40342166497766625,7799385043036650,-32720563412504330,24019452856865550,-8018736540524250,-408996626281100,2347099689560220,-1659253473625944,654515560860860,-133733546987910,-9016851045990,21026690345090,-9593304869550,1429362666690,742645553210,-404307390510,24706289310,31708089590,-9917785590,1246740090,56484410,-176274660,70596780,-5927560,-2666340,495390,66910,-9570,-6090,1315,-15,-15,1', '-57354480,-51224400,73872000,-11037600,-25456680,13901544,5360940,-932850,-389070,10890,12096,1980,-150,-90,0,1', '32400,270400,780000,-88800,1414800,-320160,2807040,365600,8399520,3080640,9425216,1712256,4298880,-993032,-18960,-316656,-521376,175200,-34188,-15040,49860,-1440,-9980,240,960,-8,-48,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{202}{25} a^{7} + \\frac{253}{25} a^{6} - \\frac{1324}{25} a^{5} - \\frac{413}{5} a^{4} + 143 a^{3} + \\frac{1314}{5} a^{2} - \\frac{414}{5} a - \\frac{1778}{5} \\)', '\\( \\frac{37}{25} a^{7} + \\frac{68}{25} a^{6} - \\frac{269}{25} a^{5} - \\frac{103}{5} a^{4} + 33 a^{3} + \\frac{309}{5} a^{2} - \\frac{174}{5} a - \\frac{318}{5} \\)', '\\( \\frac{656}{5} a^{7} + \\frac{1009}{5} a^{6} - \\frac{3747}{5} a^{5} - 1442 a^{4} + 1746 a^{3} + 4140 a^{2} - 168 a - 4487 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/25*a^7 - 11/25*a^6 - 12/25*a^5 + 1/5*a^4 + 2/5*a^2 - 2/5*a + 1/5']}