Number field data - 5.1.19613.1

Formats: - HTML - YAML - JSON - 2024-05-27T18:02:19.554773

• 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': [-1, 3, -6, 4, -2, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 19613, 'disc_rad': 19613, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [2, 1]]], [3, [[3, 1], [2, 1]]], [5, [[3, 1], [2, 1]]], [7, [[3, 1], [2, 1]]], [11, [0]], [13, [[3, 1], [1, 2]]], [17, [[4, 1], [1, 1]]], [19, [[2, 2], [1, 1]]], [23, [[4, 1], [1, 1]]], [29, [[2, 2], [1, 1]]], [31, [[4, 1], [1, 1]]], [37, [[5, 1]]], [41, [[3, 1], [2, 1]]], [43, [[3, 1], [2, 1]]], [47, [[5, 1]]], [53, [[4, 1], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 140.04642087536547, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.19613.1', 'local_algs': ['11.2.1.1', '11.3.0.1', 'm1783.1.1.0', 'm1783.1.2.0', 'm1783.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [11, 1783], 'rd': 7.21952800957, 'regulator': {'__RealLiteral__': 0, 'data': '1.44513167055', 'prec': 44}, 'res': {'sib': ['-2813,-2899,5700,-5536,7489,-3159,-500,1180,-938,154,93,-82,21,3,-3,1', '-455426700427,2580800755585,-6037928112142,6240524456190,-1889598581453,-1474397565670,334228992178,1213558206617,-479309090915,-424411795911,208491851351,189567165701,-175351173602,24985553561,26579201081,-14300857344,1585256821,1024861983,-494986962,89188274,1896593,-5674970,1785916,-283087,-3423,14346,-3560,319,34,-12,1', '-7169333828,-468562692,262556619,4441778,-2370442,20618,30883,-2,-148,0,1', '-9502807,24144170,-67852638,53176646,-76518092,-175320265,80520715,-218449123,321405701,397711610,-20433880,-219120534,-131926141,42860022,57906830,16811780,-10305135,-7592976,-712666,1272775,504971,-46030,-74466,-14249,4339,1920,141,-114,-18,0,1', '1,-3,22,33,218,506,901,1529,1845,1916,1959,1668,1098,639,363,171,48,-11,0,0,1', '113,947,84,198,45,-1,1', '1369,0,-18799,0,343,0,-8,0,-13,0,-6,0,1', '219096386345972,-974487494889602,1414602508199907,-1021865247759715,875598761414648,-469389796647130,220418711090915,-90627208659835,98218944860215,-97490036163206,65558119297388,-24451657973702,4463433375556,-1410490567030,1859217402142,-2006667694853,1585283767096,-637254262933,-46773919533,147347088216,-21146936069,-36691411564,22519211696,-3246043369,-2141496928,1159063385,-61750655,-132670785,49122569,-3452641,-2188105,602368,27054,-42534,8037,-2154,1760,-760,170,-20,1', '28905306,-24994613,15749001,1800661,552617,1699724,-896477,468941,491372,-105166,21001,637,-11565,9596,1273,-1437,97,117,-13,-3,1', '39677401,0,537815326,0,417443841,0,-36414121,0,-31074332,0,5550773,0,443276,0,-111436,0,1033,0,347,0,38,0,20,0,1', '61965265459,80225062579,-92705854738,119982734142,-84777784778,43192780459,-16483172256,3619099465,-550341759,46542198,16562660,-4052792,1976855,-554881,65073,-23507,1426,-473,56,0,1', '8,-15,-12,4,14,-17,23,-10,9,-2,1', '8269,-69413,263217,-556582,647565,6318,-1495162,3265087,-4109127,3271221,-1198725,-645949,1114731,-279909,-830861,1311284,-1046976,480035,-57394,-97643,85469,-34546,4087,4070,-2953,1023,-149,-27,24,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - a^{3} + 3 a^{2} - 3 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}