Number field data - 5.5.122821.1

Formats: - HTML - YAML - JSON - 2024-05-14T23:34:28.035734

• 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, 4, -4, -2, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 122821, 'disc_rad': 122821, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [2, 1]]], [3, [[5, 1]]], [5, [[5, 1]]], [7, [[3, 1], [2, 1]]], [11, [[4, 1], [1, 1]]], [13, [[5, 1]]], [17, [[3, 1], [1, 2]]], [19, [[2, 2], [1, 1]]], [23, [[3, 1], [1, 2]]], [29, [[2, 2], [1, 1]]], [31, [[3, 1], [2, 1]]], [37, [[4, 1], [1, 1]]], [41, [[3, 1], [2, 1]]], [43, [[5, 1]]], [47, [[4, 1], [1, 1]]], [53, [[3, 1], [2, 1]]], [59, [[4, 1], [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': 350.4582714104491, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.122821.1', 'local_algs': ['m263.1.1.0', 'm263.1.1.0', 'm263.1.1.0', 'm263.2.1.1', 'm467.2.1.1', 'm467.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [263, 467], 'rd': 10.4196834623, 'regulator': {'__RealLiteral__': 0, 'data': '7.04707403444', 'prec': 44}, 'res': {'sib': ['-1556283215208433,-2118143722453817,-302040819263973,575396651212040,162913797883249,-59337868434450,-21561172402970,2927702576722,1381043700041,-70412340922,-50075550053,605858235,1096025757,6648925,-14752218,-188942,119367,1485,-532,-4,1', '-1771887616964,-21540906970,52491470475,490342422,-471474792,-1797489,1566053,3116,-2119,-2,1', '-237,-1903,1757,-24,-114,-3,1', '-4858808,-26112922,701330651,-1005544763,-1542919386,2666980393,472199995,-1931574695,383305928,394598060,-110373273,-37331619,11181341,1839709,-557546,-48080,14678,620,-194,-3,1', '-5264624207552,49932567684000,108602441174464,-1159461903649072,307785540914376,3741742023491156,-302294694187683,-4768796939605136,-631621481985122,2729414343673375,709410661054786,-763576157479845,-261915076282394,109611707351792,45539806671479,-8890275878537,-4501164451743,425346839984,277908158305,-11609727751,-11217366655,138982568,300421513,1106084,-5279927,-58508,58359,709,-367,-3,1', '-583548747,-5216475746,23978398977,-15469351827,-41104407401,47637630938,25012380254,-45655570574,-5072213930,21983872084,-847022093,-6033923039,570030560,987995626,-105893333,-96575045,9757077,5442989,-493217,-164847,13721,2345,-192,-12,1', '-8,-25,36,110,-72,-107,61,28,-15,-2,1', '-937,16521,94772,73324,-154597,-194667,21174,83112,6214,-14754,-1603,1300,121,-57,-3,1', '124264149979285826489,1417821255394118766373,2069579812561523900851,-2840276030166376185722,-5990180839794283693613,2062678884028198969743,7047630018605716496690,-619765210765482498230,-4784096464827916669578,7060753491871522533,2131306571381195425355,43771473487920705946,-663611801051104202025,-9089158388348910869,149488969088626464180,-875540596810311413,-24860519147222880165,747174485009206340,3088925101400040811,-169853798892922747,-288556735486362136,22815727653148290,20295990317245181,-2071512937951027,-1070785105045814,133492767818654,41921928520723,-6225707489085,-1191567792364,210788972297,23537225921,-5127240224,-292091792,87225776,1558151,-984246,10860,6612,-218,-20,1', '1473623913061,-4386620626960,-129348213574081,108558435082634,307020926281970,-249365672920540,-282481738900047,238295495239426,133463224437394,-123996561417284,-35201947753945,39268465690106,5003846237810,-8007448142746,-246701024937,1084615944466,-34607469773,-99309319260,7354094791,6192361554,-639360980,-261922522,32499340,7367280,-1026731,-131542,19846,1346,-215,-6,1', '2888,-104044,1383304,-8676147,24433872,-5256358,-134450760,262395141,36044183,-624291490,550641011,316901319,-734315647,187062037,345881234,-240476657,-44673119,92416436,-15623800,-15921460,6484394,987014,-955874,59726,66495,-12351,-1854,658,-9,-12,1', '5329,0,-70991,0,119747,0,-30384,0,2559,0,-86,0,1', '83,789,-705,-10917,5763,51935,-34963,-90259,61028,76737,-47808,-36261,19642,9955,-4475,-1556,565,126,-37,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 2 a^{3} - 3 a^{2} + 2 a \\)', '\\( a - 1 \\)', '\\( a^{4} - 2 a^{3} - 3 a^{2} + 3 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}