Number field data - 6.0.8562688.2

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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[]
  maximal_cm_subfield	numeric[]
  minimal_sibling	numeric[]
  monogenic	smallint
  narrow_class_group	bigint[]
  narrow_class_number	bigint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  relative_class_number	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  unit_signature_rank	smallint
  used_grh	boolean

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [2, 4, 0, -8, 2, 0, 1], 'conductor': 0, 'degree': 6, 'disc_abs': 8562688, 'disc_rad': 8362, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1860, 360, 360], 'galois_label': '6T16', 'galt': 16, 'grd': 387.5260537917517, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.0.8562688.2', 'local_algs': ['2.1.6.11a1.14', '37.1.1.0a1.1', '37.1.2.1a1.1', '37.3.1.0a1.1', '113.1.2.1a1.2', '113.2.1.0a1.1', '113.2.1.0a1.1'], 'monogenic': 1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 3, 'ramps': [2, 37, 113], 'rd': 14.3032595653, 'regulator': {'__RealLiteral__': 0, 'data': '25.447579431', 'prec': 40}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 0, 'used_grh': False}
• nf_fields_extra •

  Column	Type
  dirichlet_group	bigint[]
  frobs	jsonb
  label	text
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  torsion_gen_coeffs	numeric[]
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  units_coeffs	numeric[]
  zk	jsonb

  
  {'dirichlet_group': [], 'frobs': [[2, [0]], [3, [[3, 1], [2, 1], [1, 1]]], [5, [[6, 1]]], [7, [[4, 1], [1, 2]]], [11, [[2, 2], [1, 2]]], [13, [[5, 1], [1, 1]]], [17, [[5, 1], [1, 1]]], [19, [[3, 2]]], [23, [[4, 1], [1, 2]]], [29, [[3, 1], [2, 1], [1, 1]]], [31, [[3, 2]]], [37, [0]], [41, [[4, 1], [2, 1]]], [43, [[3, 2]]], [47, [[4, 1], [2, 1]]], [53, [[3, 1], [2, 1], [1, 1]]], [59, [[5, 1], [1, 1]]]], 'label': '6.0.8562688.2', 'res': {'sex': ['-778,784,490,-572,-179,-2,1'], 'sib': ['-778,784,490,-572,-179,-2,1', '-1185171628400,-12777351826752,-3705907643928,-493108504384,2494012091949,705284382824,-499427499136,-103825998860,49785603648,7355263344,-2914189880,-303840060,106807290,7739176,-2485296,-120500,35672,1056,-288,-4,1', '-12608,36056,6704,-7208,31984,-15320,1512,5052,408,-1934,-396,258,64,-12,-6,1', '-8,-8,0,-118,-24,24,-296,390,-180,348,-44,120,-4,18,0,1', '14542281790070507,-14532005477437784,5976827369480614,-1329032163713528,126883468154405,32294430139808,-17620700753712,4352989068560,-562960609266,-4682063376,18388945452,-3871269376,404967770,-14306528,-1584960,249072,-14329,40,62,-8,1', '49,0,132070,0,15339,0,-3676,0,-21,0,30,0,1', '604,-400,88,160,-218,-28,58,-12,-16,0,1', '7744,0,-88960,0,248608,0,179680,0,10436,0,-11856,0,-1896,0,100,0,60,0,12,0,1', '77464867110156,-3119799704976,-103474636312,-4985312784,27918897520,-125586920,-191007068,-712448,668688,3752,-1252,-4,1', '-3118883141618464,1592222927380096,8349631030391120,-62863663357191136,94758889795095888,20991394939018432,-62209949932137736,129541795979872,15221866047442872,-774226781487312,-1873326227886908,146013475571720,100414954171444,-7598930346776,10878393066,-485251715456,-100995497696,22060679712,2439259502,720563624,-199080638,51033640,-22700819,4032760,-591796,93140,-6556,104,30,-12,1', '-336504277920420672,1324610573341584896,1941707623633247776,-2137920880716267136,-1090040907966644464,1208010667748170752,-350791396536618696,13262283249695616,7617980937514384,1106654639098144,2370570660573136,-1548289265023920,7974456332376,111868485700352,-793603675604,-6592547103776,48197969280,290260639232,-6747447256,-8225726096,204498108,170438272,-2314566,-2891760,-40924,40792,3700,-476,-38,0,1', '-377758096,0,-3691420179,0,-11321260730,0,-9461488821,0,4350905548,0,2318533573,0,-669420214,0,-180397765,0,51819672,0,3287647,0,-1683782,0,88697,0,8940,0,-785,0,-10,0,1', '154267104018694144,0,-674385468885827584,0,677526113019756544,0,-316346602940268544,0,482209808845176832,0,171269951460999168,0,-164008119153590272,0,36707572788101120,0,-1842265405775872,0,-275948521111552,0,29625712480256,0,1746353098752,0,-232510139904,0,-9429186560,0,1146515968,0,34712064,0,-2919344,0,-129696,0,408,0,88,0,1', '17632349006627948,52469281495759716,60358924216254577,30504341419743468,2887658228966258,-3442509187872008,-758241745520923,597611583123612,301228638029232,-14894775061392,-47129315886088,-9967751258780,3202768460688,1799735832116,68986708458,-139471309272,-27830398228,5480837748,2372287162,-31922636,-119698712,-8975616,4079840,585532,-95556,-22504,1869,508,-14,-12,1', '234188583193787386812032,-999401471949870424931328,1676053019725039150376192,-1126580627540001145038848,616114503058133106734080,436074257500745290839936,-672730374405465863758656,-384196227755668725731392,372202848144928391131952,234287057185614933709312,-113938727134721943273504,-94410383366090095188704,23814603326899893817024,24658014370769740674656,-4082875796845714084656,-4175726942977168778912,578070049792305209600,475651653066615446448,-62533029354857548224,-37986545625525612752,4972442942958426144,2197944051235872832,-290272114850109472,-94223522498247608,12564996144109468,3031137810838336,-406813728093452,-73467182721544,9879292296744,1335047946532,-179043639424,-17910932588,2384996293,172106316,-22662768,-1120292,145362,4424,-564,-8,1', '2382126242910912,1334810960907520,2696487874523136,160327054155264,2229016562787712,-99210069441664,800204331858688,317191679905792,132246614443536,196643129340736,43597834142656,14450328095232,81643155472864,-62456950192128,72792615581152,-49434883801472,37281515982188,-21967937443520,13298470054240,-6824962881856,3506255812884,-1575748401648,700352079208,-275660416512,107117360684,-36794193144,12622658296,-3765243472,1145402236,-296018048,79399788,-17633408,4211554,-748536,173508,-19968,5416,-248,112,0,1', '2619099,-11424966,29586191,-51243696,69528359,-79649022,88521107,-101494776,119928847,-136120510,143931347,-139954808,126163939,-105590166,82190623,-59142976,39186753,-23750706,13134757,-6599216,3010189,-1241146,462041,-153960,45769,-11922,2717,-520,85,-10,1', '4804719931,56767906501,331242561232,1214981521256,2921352723887,4423667580289,3399577684274,-888775506874,-4569829932029,-880805832667,13512229398542,31924734221138,38930424936819,26142698996069,6432240172320,-12491382688,6987879922270,9978809985058,1768721327296,-6791476637520,-6455443025338,-1124755412774,1769039629492,1118711753916,-109917338634,-352335752742,-91434914740,50063862324,32215639734,-727133126,-5365872496,-1040222032,501701415,214245785,-17294976,-22625000,-1539989,1482117,239850,-64658,-15161,2049,534,-54,-9,1', '4998862119827659049033,-8067852683948645869662,5206418198141497953233,-2473742137075170408984,1345857664984724150171,-519690463651382870326,110115718688772625969,-19038001647339615920,4475777042155227879,-982319622111353826,326836296884460907,-77398049984416992,19839040150237517,-3674097429988682,772935479692995,-118009852825032,21854251050535,-2949090647178,481396861215,-60392363312,8137217709,-964774466,127796711,-13830440,1654349,-140734,18681,-1512,79,-6,1', '99711704876816046124,617784691208466556176,1540949868488166904704,1952914296264218506456,1362785276223609224516,389560311349850923488,-107832039072207617472,-82407831993969051496,10365485438805480662,13691215409948189884,1856891525467811608,-446904894526936408,-441946054888320765,-79186538776883780,50314639628355300,11426841473186020,-2001115432917552,-1049009512428576,8778809299440,48408188962684,7428976140895,-612763134676,-868420239796,18383072868,38043235670,-3038273408,21351836,-8728364,-36804509,7030032,730652,-226536,-80,2868,-104,-16,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( a - 1 \\)', '\\( a^{3} - 3 a^{2} - 3 a - 1 \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}