data:
- - Lhash: dirichlet_L_99.16
    a10:
    - 1.0
    - 0.0
    a2:
    - 0.9135454576426009
    - 0.4067366430758002
    a3:
    - 1.0
    - -2.8163065144692913e-30
    a4:
    - 0.6691306063588582
    - 0.7431448254773942
    a5:
    - 0.9135454576426009
    - -0.4067366430758002
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - -0.9781476007338057
    - 0.20791169081775934
    a8:
    - 0.30901699437494745
    - 0.9510565162951535
    a9:
    - 1.0
    - -2.8163065144692913e-30
    algebraic: true
    analytic_conductor: 0.4597540671534385
    analytic_normalization: 0
    bad_lfactors:
    - - 3
      - - 1
    - - 11
      - - 1
    bad_primes:
    - 3
    - 11
    central_character: '99.16'
    coeff_info:
    - x^15 - 1
    - 0.913545457642601 + 0.406736643075800*I
    - \\zeta_{15}
    conductor: 99
    conductor_radical: 33
    conjugate: dirichlet_L_99.31
    degree: 1
    dirichlet_coefficients:
    - a^0
    - a^1
    - 0
    - a^2
    - a^14
    - 0
    - a^7
    - a^3
    - 0
    - a^0
    - 0
    - 0
    - a^11
    - a^8
    - 0
    - a^4
    - a^9
    - 0
    - a^3
    - a^1
    - 0
    - 0
    - a^5
    - 0
    - a^13
    - a^12
    - 0
    - a^9
    - a^7
    - 0
    - a^11
    - a^5
    - 0
    - a^10
    - a^6
    - 0
    - a^12
    - a^4
    - 0
    - a^2
    - a^8
    - 0
    - a^10
    - 0
    - 0
    - a^6
    - a^13
    - 0
    - a^14
    - a^14
    - 0
    - a^13
    - a^6
    - 0
    - 0
    - a^10
    - 0
    - a^8
    - a^2
    - 0
    - a^4
    - a^12
    - 0
    - a^6
    - a^10
    - 0
    - a^5
    - a^11
    - 0
    - a^7
    - a^9
    - 0
    - a^12
    - a^13
    - 0
    - a^5
    - 0
    - 0
    - a^1
    - a^3
    - 0
    - a^9
    - a^4
    - 0
    - a^8
    - a^11
    - 0
    - 0
    - a^0
    - 0
    - a^3
    - a^7
    - 0
    - a^14
    - a^2
    - 0
    - a^1
    - a^0
    - 0
    - a^0
    euler_factors:
    - - 1
      - a^1
    - - 0
    - - 1
      - a^14
    - - 1
      - a^7
    - - 0
    - - 1
      - a^11
    - - 1
      - a^9
    - - 1
      - a^3
    - - 1
      - a^5
    - - 1
      - a^7
    - - 1
      - a^11
    - - 1
      - a^12
    - - 1
      - a^8
    - - 1
      - a^10
    - - 1
      - a^13
    - - 1
      - a^6
    - - 1
      - a^2
    - - 1
      - a^4
    - - 1
      - a^5
    - - 1
      - a^9
    - - 1
      - a^12
    - - 1
      - a^1
    - - 1
      - a^4
    - - 1
      - a^0
    - - 1
      - a^1
    - - 1
      - a^1
    gamma_factors:
    - - 0
    - []
    id: 1766
    index: 0
    label: 1-99-99.16-r0-0-0
    leading_term: 1.62748974389093081649132755030+0.519056583348368005689075666391*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/99/16
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 1.708257182975517
    - 2.046643950210168
    - 2.6262876057810796
    - 3.0366935887784225
    - 3.0201362701101764
    - 2.482151658306678
    - 1.4972221260697511
    - 0.29978906587051707
    - -0.7733251657625536
    - -1.3907099514639312
    - -1.3538490038376347
    - -0.6925371391545129
    - 0.3224174366131134
    - 1.2716442652841433
    - 1.7599677235810767
    - 1.5988792577379323
    - 0.9092602807222303
    - 0.07976932557948255
    - -0.4186734886435385
    - -0.2840929418005612
    - 0.42725649028437673
    - 1.288145299331112
    - 1.698314342237715
    - 1.2127723782080764
    - -0.1680473512450023
    - -1.9199851322124815
    - -3.206888726621849
    - -3.303680661825766
    - -2.017174967706559
    - 0.13767311570788313
    - 2.137742325970669
    - 2.9562455188035424
    - 2.114318507860867
    - -0.031095125147623144
    - -2.446894873944399
    - -3.9656936790960153
    - -3.9142678927402264
    - -2.4656021555150653
    - -0.5025021284664273
    - 0.9286927824797397
    - 1.2406924095464016
    - 0.6168586321438375
    - -0.18150192730555625
    - -0.378541041547011
    - 0.2641050749154699
    - 1.2866188612527696
    - 1.877682653206537
    - 1.488871495780368
    - 0.2753955066736553
    - -0.9725594700659328
    - -1.387072614596932
    - -0.6822964343093338
    - 0.5754490551185294
    - 1.3278616959912162
    - 0.802905415345063
    - -0.8355681338526033
    - -2.4703423739646624
    - -2.7270259992224934
    - -0.9451002962885264
    - 2.2563490775642205
    - 5.259954369584754
    - 6.441610213142191
    - 5.218628304978752
    - 2.4288363971011795
    - -0.23584758227770292
    - -1.3533448496866343
    - -0.6653842974096532
    - 0.8781732192284699
    - 1.9215933676500594
    - 1.7295632724155432
    - 0.6655862051732138
    - -0.211935481723809
    - -0.08015801192901875
    - 0.9527380387979336
    - 1.9477141030042222
    - 1.9388317767228134
    - 0.7672419496783509
    - -0.7618509128756932
    - -1.5492093543831016
    - -1.1470656317985872
    - -0.1676785152126678
    - 0.23574031937558484
    - -0.5763652675364742
    - -2.029562200733636
    - -2.6475353924845635
    - -1.2196116478409107
    - 2.081596743271107
    - 5.580903710271673
    - 7.179482868320696
    - 5.863846648549774
    - 2.4794805123275547
    - -0.8641781026079136
    - -2.324417042204895
    - -1.6116286521695944
    - -0.04273631085214961
    - 0.6373438549080548
    - -0.3191502864752991
    - -2.1453504005269566
    - -3.321270037345326
    - -2.912642663526334
    - -1.3294131449473559
    - 0.11350451848844811
    - 0.3924765418233702
    - -0.36141740628677965
    - -1.0940738270034192
    - -0.9095161202854112
    - 0.026259977829165303
    - 0.6255572089713989
    - -0.0413854494855377
    - -1.7368797339973523
    - -3.116402070081177
    - -2.9005090977518946
    - -1.1370178296195872
    - 0.6448047209171677
    - 0.6540409498950154
    - -1.5547322776950008
    - -4.513606358127574
    - -5.911027034141489
    - -4.47560732055905
    - -1.085088183573749
    - 1.8817720665248843
    - 2.4407535293492977
    - 0.5544270660556133
    - -1.9569959391188814
    - -3.0216277891027308
    - -2.0150991476031073
    - -0.10215782029304935
    - 0.9797201469877653
    - 0.5111429105955265
    - -0.6938139288659227
    - -1.2340091797088644
    - -0.5389590517298004
    - 0.6301024715064394
    - 1.0467752820942442
    - 0.34948908573821624
    - -0.526324656963067
    - -0.2824875391403789
    - 1.3526401479764953
    - 3.1975873930335865
    - 3.6670776192580896
    - 2.337845580962965
    - 0.4760913286699996
    - -0.10087758738226503
    - 1.1648276679404566
    - 2.8354193278900817
    - 2.6486111163111876
    - -0.3624689433982593
    - -4.744200984043985
    - -7.622168637981233
    - -7.034072934375432
    - -3.5499525516760158
    - 0.25654294936376026
    - 1.9861947064353354
    - 1.2744358887502054
    - -0.2706342876243247
    - -0.8312381643762553
    - -0.0794692584530988
    - 0.7651587543011478
    - 0.4217327165379474
    - -1.018403771026048
    - -2.1683927025224357
    - -1.8032448757150905
    - -0.15457766579969404
    - 1.311476552866183
    - 1.4014118205288055
    - 0.40606666344610526
    - -0.2718077052287336
    - 0.2947645510518171
    - 1.4422596270664971
    - 1.5391147301428951
    - -0.1911745946112967
    - -2.532498715728003
    - -3.156709172307608
    - -0.8496888473030169
    - 3.061029709027479
    - 5.606307619512789
    - 4.726130336390717
    - 1.131027319764054
    - -2.3025801102686834
    - -3.0699302378670836
    - -1.1450292177682113
    - 1.2651706764989297
    - 1.9625195170519443
    - 0.7624125287414297
    - -0.6202951363338209
    - -0.516489433685998
    - 0.9894062321412094
    - 2.2875625812652385
    - 2.0395563459526396
    - 0.5823899292284841
    - -0.518330285034106
    - -0.20956928192277696
    - 0.9382476479286039
    - 1.4506767278154944
    - 0.6761654409907718
    - -0.4304555234822769
    - -0.4031367888304913
    - 0.9233930322557132
    - 1.9451497541771228
    - 0.8669899299781256
    - -2.216767102379299
    - -5.005737037391601
    - -5.009084232111391
    - -2.0102557389842035
    - 1.5334965853308695
    - 2.7050656536555655
    - 0.8644236876409078
    - -1.78438307162217
    - -2.3716491395372343
    - -0.1336271812953158
    - 2.9424657789922275
    - 4.1538248673747
    - 2.6785520159453076
    - 0.15674744681988195
    - -1.1607665024803442
    - -0.6396360612106481
    - 0.41850479565470433
    - 0.49444897678505384
    - -0.42185972390489523
    - -0.9915958427770422
    - -0.2753834529152844
    - 1.0162267479541272
    - 1.258548761687044
    - -0.17317053872346244
    - -2.02453691783693
    - -2.424353327042804
    - -0.9623144865343773
    - 0.7745682496817508
    - 0.944097745693438
    - -0.36363072799423535
    - -0.9864401752384433
    - 1.0274021266827964
    - 5.0409849900140244
    - 7.99729372961138
    - 7.211913071165926
    - 3.057141273194414
    - -1.2320199300181403
    - -2.5214263684292417
    - -0.5790247683302756
    - 2.025666637067226
    - 2.663311928782638
    - 1.1254108869956283
    - -0.600896276356317
    - -0.746668817467242
    - 0.38801916207145276
    - 1.065377852909616
    - 0.29521484685411686
    - -1.012672108347501
    - -1.2051050804251013
    - 0.07764447676206478
    - 1.4088848147246624
    - 1.2235218385691395
    - -0.31932447724962326
    - -1.4739923583486476
    - -0.9432394608278611
    - 0.5601519820874554
    - 1.1406568373878068
    - 0.09127580295203058
    - -0.9661813301287724
    - 0.27824136972129665
    - 4.009739666392953
    - 7.46856267912843
    - 7.334187727044411
    - 3.0444935065043115
    - -2.4160774216903014
    - -5.201400160840359
    - -4.084752340363427
    - -1.2370978657830223
    - 0.3246174943666235
    - -0.21315780907186715
    - -1.081279216358663
    - -0.34204607479894494
    - 1.7801258775279107
    - 3.2221784238729945
    - 2.5130008343814185
    - 0.4298883216956373
    - -0.9675820843866003
    - -0.6849831265329998
    - 0.2538536047475072
    - 0.27807542981492445
    - -0.710287227077756
    - -1.26023298092485
    - -0.3352073057260989
    - 1.1343884776148498
    - 1.1644196813689855
    - -0.8164040150070665
    - -2.9032127440289774
    - -2.5807392093073362
    - 0.3737428076087859
    - 3.2892738201070313
    - 3.2540206137892644
    - 0.2901852798109994
    - -2.4704770850136732
    - -1.9683710241464438
    - 1.5845332955856222
    - 4.921137060320117
    - 5.103168742098696
    - 2.420694827801876
    - -0.2176945045176205
    - -0.5323371573454584
    - 0.8970523147724101
    - 1.7117360886721626
    - 0.653144725544207
    - -1.1420176156960726
    - -1.7426498669945518
    - -0.7978672646368395
    - 0.19250820231592722
    - -0.09592627622874059
    - -1.102857998450482
    - -1.148269214848189
    - 0.2899246487242395
    - 1.6927981925036293
    - 1.2588680570777857
    - -0.7550158080441685
    - -2.0662888016242773
    - -0.9722965070308698
    - 1.4790887835569446
    - 2.490556145099014
    - 0.7728732468335057
    - -1.677913584536362
    - -1.5576127233214936
    - 2.0078194909620413
    - 6.147575809254582
    - 6.998253070494577
    - 3.650441492107818
    - -0.9619357879954549
    - -3.1260341776330267
    - -1.9635695739556152
    - 0.22769393759594989
    - 0.9172535685401412
    - 0.005744807755678867
    - -0.6805075207060473
    - -0.05551792123963855
    - 0.8297130328631005
    - 0.28495822909382484
    - -1.661234024891825
    - -3.0904745597705667
    - -2.462793147299861
    - -0.49225846566672776
    - 0.7369473876473814
    - 0.3331704793439713
    - -0.3831566775842398
    - 0.2665405271017902
    - 1.9152035193767507
    - 2.3703945298654765
    - 0.45063671971806296
    - -1.9948551264525478
    - -1.6676153640879088
    - 2.4356309211362848
    - 7.393687205177972
    - 9.010512142950972
    - 6.066866357158179
    - 1.5290073825593193
    - -0.621982064374245
    - 0.5842535676844988
    - 2.5925810871908803
    - 2.5968325281079974
    - 0.6611457737151131
    - -0.7769739866283962
    - -0.08266541435427315
    - 1.6797931077780506
    - 2.2670444955919584
    - 1.09206343658501
    - -0.18204781690783628
    - 0.10659477924029878
    - 1.481048634983103
    - 2.0058885841648193
    - 0.8372616964157712
    - -0.691956905326586
    - -0.8768106962160062
    - 0.0204582435090608
    - 0.04802566069804176
    - -1.7159271309878261
    - -3.48502581493028
    - -2.582888424396066
    - 1.1320741303732622
    - 4.450331027461918
    - 4.000909228963404
    - 0.02817490487110261
    - -3.6553299681248754
    - -3.688101003479309
    - -0.6810459227864746
    - 1.713208250172719
    - 1.0184526282662518
    - -1.4439121528086958
    - -2.4002953326981085
    - -0.5437041424055297
    - 2.1141405360708907
    - 2.816044046506079
    - 1.240939498876794
    - -0.47356744441184817
    - -0.5650195511445197
    - 0.3765262008346067
    - 0.6249686480756813
    - -0.13110646005273335
    - -0.37399515336276445
    - 0.9953235098910767
    - 2.8237301483867903
    - 2.900525153703913
    - 0.8045468130953497
    - -1.316511570175729
    - -1.272094396404806
    - 0.3980243472902356
    - 1.031536616373026
    - -0.6818978187384832
    - -2.6622277872171924
    - -1.6612216843790568
    - 2.640968209622727
    - 6.635198938220798
    - 6.41138436894775
    - 2.0328033628551054
    - -2.4631556163630077
    - -3.3669779095605588
    - -0.9937438512245699
    - 1.2671280363017106
    - 1.073295788823626
    - -0.549602787844795
    - -1.106170855031133
    - 0.036800083773409056
    - 1.1002139019727524
    - 0.5100259968366567
    - -0.9544733881868334
    - -1.2789880917124166
    - 0.004272542951962512
    - 1.1389850728722934
    - 0.49601615092391677
    - -1.1843793135327847
    - -1.7091610299158992
    - -0.3786282982473771
    - 0.960994645371938
    - 0.30643604621595955
    - -1.7150247027171817
    - -2.4769951530245153
    - -0.9053886451490253
    - 0.5653154811959834
    - -1.4758709249282238
    - -7.077508045940648
    - -12.077844542276992
    - -12.16924631687727
    - -7.418788130601085
    - -2.0825689387174378
    - 0.002634862329085364
    - -0.9013459283258587
    - -1.671059178976317
    - -0.49391055936799
    - 1.234165285384835
    - 1.2576940835654375
    - -0.3413604696420325
    - -1.2613183794547227
    - -0.0629168197598458
    - 1.9386860847424559
    - 2.403735994943023
    - 0.9466320789310503
    - -0.5538285273277516
    - -0.5858630326981182
    - 0.06634921888754777
    - -0.2886177720886778
    - -1.5159822562613583
    - -1.5106260899527844
    - 0.8647128335321878
    - 3.6427743935956935
    - 3.646078726495306
    - 0.4539195049341464
    - -2.589142132560689
    - -2.02208051924242
    - 1.584010366268285
    - 4.092059859948956
    - 2.5428673248149067
    - -1.420212960884406
    - -3.533610208894584
    - -1.8751512267399626
    - 1.1379581083746444
    - 1.9033526805674799
    - -0.13030795874617598
    - -2.2419411349956557
    - -2.105119928734676
    - -0.5071411454838638
    - 0.1103758895251367
    - -0.9941001058599688
    - -2.099187095688832
    - -1.6127839992745767
    - -0.2953749313786157
    - -0.0812563280242316
    - -1.2313600211298548
    - -1.8657062519235983
    - -0.6307868763341371
    - 1.1724383982227828
    - 1.1303942564498057
    - -0.9193307031677193
    - -2.2966221508869182
    - -0.8222009538322881
    - 2.075025477360729
    - 2.75859549154141
    - -0.09252087746085128
    - -3.492460298077349
    - -3.4895463784668768
    - 0.02493709586072423
    - 2.9673193541352267
    - 1.7540373428856864
    - -2.5651291875096653
    - -5.633759343382757
    - -4.796597925386106
    - -1.7132936507197962
    - 0.21343565892464578
    - -0.057752944444644724
    - -0.6709720273592003
    - -0.00927678960761504
    - 1.0488332328601533
    - 0.6764734440830331
    - -0.9927148502982055
    - -1.8067078545080186
    - -0.5269166433340444
    - 1.3376431870301344
    - 1.4374381878297058
    - -0.2824351259549227
    - -1.519093825392728
    - -0.7756993172872879
    - 0.5993172657928244
    - 0.4567049199715696
    - -0.7064749854980857
    - 0.15836897460758778
    - 4.583278971441805
    - 9.686551050506022
    - 10.666561796055417
    - 6.197366491592144
    - 0.23172303462490543
    - -2.1934590487822803
    - -0.2749661487958175
    - 2.325118604414153
    - 2.2528291689301025
    - 0.19298785904457433
    - -0.7447193125004774
    - 0.628171352397582
    - 2.245069880667069
    - 1.846840027719188
    - 0.035591257698167185
    - -0.7297076146901099
    - 0.41897316083912955
    - 1.672005458556753
    - 1.1854209289756188
    - -0.33975147319583776
    - -0.7338779186136403
    - 0.4970104607611792
    - 1.4632760278678747
    - 0.6861597963746128
    - -0.5818352388269135
    - -0.016315972661841625
    - 2.210149879274362
    - 3.0518601629752315
    - 0.48181731660423366
    - -3.2590561791557446
    - -3.710354860966703
    - 0.4880972330050114
    - 5.580005170051211
    - 6.76256927239999
    - 3.547701318505985
    - -0.06088462295441646
    - -0.5920930741520279
    - 1.0240065462370849
    - 1.3296051201220314
    - -0.8795727750716689
    - -3.1266153511537733
    - -2.713742264730392
    - -0.23337094835553196
    - 1.4064577714882538
    - 0.8047564195433733
    - -0.4880960143862354
    - -0.5442050098551965
    - 0.24632012036212836
    - 0.1250016975229082
    - -1.0430393454017917
    - -1.2784965894001008
    - 0.6019892202501095
    - 2.84322920594944
    - 2.745464386661385
    - 0.3612332972534417
    - -1.274975397499341
    - -0.08015648439194015
    - 2.131396580890785
    - 1.9105199516861435
    - -1.0350944400395459
    - -2.925362573514487
    - -0.503599415303499
    - 4.523238972399107
    - 7.0316078040892664
    - 4.361540191140094
    - -0.6713334079282169
    - -3.2378180829540786
    - -1.955924845775436
    - 0.30178226854124574
    - 0.6549093663550835
    - -0.3565096472296858
    - -0.3181457483020051
    - 1.2726900701677317
    - 2.3700085436736216
    - 1.4902708749367588
    - -0.09137711455067611
    - -0.20583211499069815
    - 1.0435357023467668
    - 1.430254530388265
    - -0.09654263777223256
    - -1.724243561470133
    - -1.25715971128514
    - 0.6717213486370576
    - 1.3522507156359795
    - -0.10967151172179926
    - -1.2623134778460046
    - 0.32406003739378725
    - 3.1633480655739636
    - 3.0768634093026357
    - -1.4469991066663694
    - -6.618308733583431
    - -7.2760361922728745
    - -2.844949554597512
    - 2.0301214224077926
    - 2.9207007169629087
    - 0.34470473208096736
    - -1.7614025713187842
    - -1.2601289591286289
    - 0.14248286463542453
    - 0.0916755993075422
    - -0.9233037901136346
    - -0.5692457529859558
    - 1.6287502002951257
    - 3.341718268592307
    - 2.5799547041421818
    - 0.4106441256382708
    - -0.578353759005356
    - 0.19338933423156232
    - 0.8065283703401768
    - -0.05022663980771169
    - -1.057700175015644
    - -0.4358907128598519
    - 0.8473913601864332
    - -0.13154912829431953
    - -3.9928539272187087
    - -7.241994812749072
    - -6.086235035604139
    - -1.3850141975208423
    - 1.8927018650364404
    - 0.48983212741825355
    positive_zeros:
    - '2.26720678821046352823756533570'
    - '3.654924991932581476734535375631'
    - '5.34728978107723808909694087939'
    - '6.08561712693355282918891479977'
    - '7.46855551358699223869423562583'
    - '9.043565056380579017993583987609'
    - '10.3085886793886658255769915078'
    - '11.96438923852608832031603030737'
    - '13.04106797715515482903805883946'
    - '13.65671348890392918420690148454'
    - '15.06189456347504179324407204895'
    - '16.10803000124144934235877817883'
    - '17.044118521917704128312148697651'
    - '18.22605095414435135018409149264'
    - '19.96553696025077080766180292176'
    - '20.764135047728426300850100727506'
    - '22.08086996195395840362393228558'
    - '22.53386337604767643307513149243'
    - '23.90106600461774771136623521087'
    - '25.06520755740730892617391264797'
    - '25.45964509471524241333817918218'
    - '26.69296533289185179836403348947'
    - '28.3440176009631079853866422626'
    - '29.384852558157983739392890656822'
    - '29.934198004446057772888775490348'
    - '31.527657016072885503867396303240'
    - '32.06489521754800100732960386756'
    - '33.11666061379335749785015347087'
    - '33.74020163377225874740344805517'
    - '35.17707103338035033934663478110'
    - '35.7489515722002959985847033031'
    - '37.284432206930045501618164365510'
    - '38.19060648939602048929252072922'
    - '39.39359439840145015032347125'
    - '40.13381275753908759887511679321'
    - '41.07624870791870835681209397617'
    - '41.98111114127443130800102161799'
    - '42.57346376054199476410222444619'
    - '44.19356165320626354929804452971'
    - '44.42799279377973521582401896188'
    - '45.59706222879001582567110046117'
    - '47.16185222062973834909432767184'
    - '48.063262314439243644732805549162'
    - '48.77318092645038003282780182188'
    - '49.481686195632005269349406623029'
    - '50.6514440014979046670438732857'
    - '51.69355293913048863163221801994'
    - '52.09309427049587438226739358711'
    - '53.099728672199455503330894875065'
    - '54.13397127244276191718099926288'
    - '55.40116852250313544537618527623'
    - '56.38558459193753825722636280894'
    - '57.33557467590186948798845449136'
    - '57.9397256984117165128856879960'
    - '59.1898458903119960120317748295'
    - '59.75069883576118822890489558300'
    - '60.79780805749058211033357750766'
    - '61.36765438381509269171669678537'
    - '62.28980639339182979284241090457'
    - '63.602092371301775881916352258182'
    - '64.46969186496027646319749781858'
    - '65.32569353889188377732842445863'
    - '66.58515059863991618192685569100'
    - '67.36088160609863822190938791969'
    - '67.99725897982557304482144280928'
    - '68.8154539018197646399460238967'
    - '69.65976159518038020646774791451'
    - '70.779292430888985545215923319200'
    - '71.48503270643722229056346744780'
    - '72.07875545977351075216239975768'
    - '73.64411500943927031255531825398'
    - '74.43821539754923768178573297503'
    - '75.49320402972070102789610836766'
    - '76.15362341741234170836542455968'
    - '76.942061230331077742448216438607'
    - '77.7976372556035676190121963646'
    - '78.69166894425166086349678200771'
    - '79.569696469579712467271279640005'
    - '80.33179189962255875997269476005'
    - '80.90380703261759025792005991575'
    - '82.35450443039060763151581205233'
    - '83.63039128935934930307510740329'
    - '83.9999502942316740532598748955'
    - '84.74620533754757634048851155375'
    - '86.00585507220790715633702025368'
    - '86.777385871586154106399764413703'
    - '87.29415861783152148255307407588'
    - '88.19176545938661534106737908623'
    - '88.9571743701512209548152268850'
    - '89.96682478949015239968817689479'
    - '90.963385772674170447175943234198'
    - '91.75245921446804220469601865968'
    - '93.08711907814904822202718528953'
    - '93.57247320946174044415186269884'
    - '94.484228065694854850400099795237'
    - '95.53172805801360334188608916382'
    - '95.90239622533850868685330747632'
    - '96.824098314005117685566702130020'
    - '97.70407872424472631691551049824'
    - '98.56314193213931345908273104763'
    - '99.463674272470321022795475807849'
    - '100.16450937442355058897039189396'
    - '101.48994900451659478588750132152'
    - '102.46067607645051875924314890251'
    - '103.12658425101929913137684574604'
    - '103.76605615246493157244980176653'
    - '104.43098920647340675930538994533'
    - '105.71113054048474162614472767357'
    - '106.36294241705678034920273016333'
    - '106.81072160094497673095414847859'
    - '107.863392720846065944333952396783'
    - '108.59269218586179969584690004880'
    - '110.155406482748154675137317431155'
    - '110.53490036400050266638168474421'
    - '111.66620336194498611013873328625'
    - '112.20331236507787251917529960885'
    - '113.36769582566326933985421948462'
    - '113.71802508063531670889807133784'
    - '114.84095671350847264768502112245'
    - '115.61717305334015784746277133263'
    - '115.95267578850278796479542088719'
    - '117.103585918213562663426965653473'
    - '118.1269176978901550214527220557'
    - '119.12786473770867657212378687951'
    - '119.82000263300232749506338910763'
    - '120.684661763954525362805159414649'
    - '121.76350894764959736928402754269'
    - '122.376868608341617132953566478183'
    - '123.07674013138818872421675196010'
    - '123.564558489306112599247976133795'
    - '124.78627881155367151799564448040'
    - '125.552610748537732736572151815907'
    - '126.158252961691301894195489577629'
    - '127.01457584410476210459210520219'
    - '128.24854781253643097210578909232'
    - '129.17264898747705208887263949349'
    - '129.89305721376642448234724151688'
    - '130.6173103155608544514044570811'
    - '131.35763206005985983104023213096'
    - '132.18666516247658727345442069168'
    - '132.90698213390282134879805391405'
    - '133.81732068141186450225572794144'
    - '134.42749994698386943344119393090'
    - '135.45236868494947218427052010388'
    - '135.79628570528511818553515636290'
    - '137.80845571038268377321921985111'
    - '137.85276398724063412964995710145'
    - '138.82968549718834494162556428991'
    - '139.62635351456639474425274527851'
    - '140.3221913739903578877412504268'
    - '141.41873526968926094145174031927'
    - '142.139849810714296896571483259459'
    - '142.390503209034369935864422623312'
    - '143.34783071489805984842644547273'
    - '144.41192547784216530642920304640'
    - '145.186866753046245629593222518555'
    - '146.13864474871609430942957838605'
    - '147.05908650150034582443105804953'
    - '147.79706200459173344749751878848'
    - '148.88854089967484306691945219828'
    - '149.12413559464010200400355627052'
    - '150.43885305331849437139454053120'
    - '150.57688633266001154940307352427'
    - '151.660851230303467090362856133807'
    - '152.37596285401582787748690887518'
    - '153.21286980095607963498627958548'
    - '154.05504748354940298577817107364'
    - '154.99808443447873004205059626979'
    - '155.76268099864474546402615096945'
    - '157.11889250859629654317977773056'
    - '157.47869091576599074253775495717'
    - '158.12742351621396723960729150033'
    - '158.886601985493962157638027440762'
    - '159.76716013019211071145144974145'
    - '160.5797447595855829578992853375'
    - '161.40717650708307503367744775362'
    - '161.992233109157721457287347497809'
    - '162.48110656973247759558029125699'
    - '164.077889301857861703611091065032'
    - '164.71558853922604001518101253791'
    - '165.6564925330169163889653276691'
    - '166.1466051359194161153431641703'
    - '167.19420209185675209882933318382'
    - '167.729858631293171311952963934287'
    - '168.67476252880848979884911594769'
    - '169.27183631267027952244118370365'
    - '170.14461525156055498684871543452'
    - '170.62791321992722800855533492845'
    - '171.60059009830252100934637474237'
    - '172.47236664654954809098167353377'
    - '173.74196523659720627780814427278'
    - '174.18991107973597033038096586943'
    - '174.90002799891479506051124318623'
    - '175.96678201536024214150613123134'
    - '176.73896233916491049035792621463'
    - '177.39432854267277239633585837299'
    - '177.8542277133187448315608566436'
    - '178.674092057923314798584397938456'
    - '179.73217973136537151018119127098'
    - '180.323274932054904458182129458480'
    - '181.15201251130493563559892540157'
    - '181.90911621557831189672355301119'
    - '183.079835548406591506746355322620'
    - '184.00788846043015069382819633734'
    - '184.57660575590404888534452003476'
    - '185.08109626925627452618461441955'
    - '186.22537103997775976385175708952'
    - '186.62714219931283036384802407407'
    - '187.485240434643009673398003605667'
    - '188.32854734621167299161873194037'
    - '189.04439540768757956217452387267'
    - '189.650449004133848560903643363451'
    - '190.544968882553184326060871596636'
    - '191.72501376709012596505779017312'
    - '192.536335331163352323269725650207'
    - '193.393271622901648690831522625977'
    - '193.7805507574205113830988431041'
    - '194.47406070679920013542076947938'
    - '195.69802648104634948439630313177'
    - '196.19479926714628455734680494762'
    - '196.86309645003970878737967820202'
    - '197.59211784897171336296642863689'
    - '198.1092748106627951297768605352'
    - '199.46970041829903077278335758635'
    prelabel: 1-99-99.16-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4597540671534385
    root_angle: 0.19654537125032467
    root_number: 0.815348477882473832191501400268+0.578970517051372038240776577471*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0982726856252'
      prec: 50
    spectral_label: r0-0
    st_group: mu(15)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.62912458982073238852443895776+0.380804301307132655957251072719*I
    z1:
      __RealLiteral__: 0
      data: '2.26720678821'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.65492499193'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '5.34728978108'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.4597540671534385
    bad_primes:
    - 3
    - 11
    central_character: '99.16'
    conductor: 99
    conductor_radical: 33
    degree: 1
    id: 1766
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/99/16
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    is_instance_DIR: true
    is_instance_ECNF: false
    is_instance_ECQ: false
    is_instance_G2Q: false
    is_instance_HMF: false
    is_instance_MaassGL3: false
    is_instance_MaassGL4: false
    is_instance_MaassGSp4: false
    is_instance_NF: false
    label: 1-99-99.16-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-99-99.16-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4597540671534385
    root_angle: 0.09827268562516234
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.26720678821'
      prec: 44
- - Lhash: dirichlet_L_99.16
    Lhash_array:
    - dirichlet_L_99.16
    id: 1783185
    label: 1-99-99.16-r0-0-0
    type: DIR
    url: Character/Dirichlet/99/16
label_cols:
- label
- label
- label
labels:
- 1-99-99.16-r0-0-0
- 1-99-99.16-r0-0-0
- 1-99-99.16-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T08:37:18.826478'