Number field data - 5.3.23891.1

Formats: - HTML - YAML - JSON - 2024-06-17T15:05:55.546348

• 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, -1, -3, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 23891, 'disc_rad': 23891, 'disc_sign': -1, 'frobs': [[2, [[4, 1], [1, 1]]], [3, [[5, 1]]], [5, [[5, 1]]], [7, [0]], [11, [[5, 1]]], [13, [[2, 2], [1, 1]]], [17, [[4, 1], [1, 1]]], [19, [[5, 1]]], [23, [[5, 1]]], [29, [[2, 2], [1, 1]]], [31, [[5, 1]]], [37, [[3, 1], [1, 2]]], [41, [[4, 1], [1, 1]]], [43, [[5, 1]]], [47, [[5, 1]]], [53, [[4, 1], [1, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 154.56713751635564, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.23891.1', 'local_algs': ['7.2.1.2', '7.3.0.1', 'm3413.2.1.1', 'm3413.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [7, 3413], 'rd': 7.51011981412, 'regulator': {'__RealLiteral__': 0, 'data': '2.89262586592', 'prec': 44}, 'res': {'sib': ['-22096,23792,27976,1118,-2527,2816,-2248,-3837,-2230,-696,7,174,47,-9,-6,1', '-376528,1639584,-4235544,8167606,-9686417,3179045,6809914,-11455644,12705344,-14512775,13409621,-10467495,8919242,-5892057,24359,4475740,-4811916,2581251,-545651,-168961,98946,19325,-18204,-2473,3674,-421,-184,-25,47,-12,1', '1004973,443875,-351138,-174583,60893,29395,-6106,-2942,464,170,-23,-6,1', '10737010751063,-41278696925096,87412480179004,-126673255730072,139456416879656,-120096634914188,81430221233525,-42072939601696,15066583795850,-2194403322478,-1388310596450,1238507803602,-491655495477,87606543106,18323659589,-17941785726,5637207348,-571482814,-251916993,127344846,-23839720,-451828,1414847,-345050,26449,7592,-2323,288,15,-6,1', '13940036681,6310098,122847760,-2621568,-3504508,-102153,-13812,-984,374,0,1', '16,-8,-28,-2,47,-21,-28,24,-2,-3,1', '16,8,-232,736,3531,1556,-2191,-509,-259,-443,-695,1705,-1919,955,-201,-107,139,-73,25,-4,1', '16912086351007,-27450997894607,26132279695903,-14513367465500,5595935818460,-1383140323733,210841824956,87300209,-8076595554,2487172367,-290999196,2126278,9866781,-1524649,152620,23244,-4600,398,26,-4,1', '183619440,-841422984,916809472,587917836,1366107221,796128116,957114257,676643608,478844729,229548206,93552354,24073872,-117355,-3499030,-1430213,-61240,150882,37704,-3480,-4980,-275,364,2,-12,1', '328146617,-997192089,482357243,-860335548,1125587021,-589467676,208867389,-70644380,12829359,2337141,-3136352,1142991,-89641,-60982,21603,-2250,-363,222,-29,-5,1', '4279000078625861,-14412537193204382,14640951127721594,-57447845105720476,328351513736146489,-823828420818210992,1424181602833865094,-1730035493330909082,1596039497752242200,-1155365574958006484,657125471805495098,-275118366310281364,74105903131397663,-71716129539508,-12936575566090615,7993581881876860,-2904032253153291,582525482834492,31734268443135,-78001580875518,35373389426225,-9301125795728,1123124816393,365855098342,-271363491279,75762830620,-7296995829,-2617254248,1231273111,-226045470,10807502,8659364,-2959095,309744,33800,-20942,3041,372,-103,-2,1', '659271805610912,-212788530787092,744903338625173,-456824667006607,490526507212307,-1045775885730850,902430095039500,-420304380496449,146928832429545,-43823685640872,8158335847987,-941564067779,833288833677,-751046929858,457574965672,-221175106942,85526802933,-27475632777,7722795278,-1925179972,427460104,-86874577,16450474,-2848551,445901,-64420,8215,-874,97,-12,1', '7436,52,3681,-89,115,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - a^{3} - 2 a^{2} - a + 1 \\)', '\\( a^{2} - a - 1 \\)', '\\( a^{3} - a^{2} - 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}