data:
- - Lhash: dirichlet_L_105.62
    a10:
    - 1.0
    - -2.8163065144692913e-30
    a2:
    - 2.9010907910729803e-30
    - -1.0
    a3:
    - 1.0
    - -2.8163065144692913e-30
    a4:
    - -1.0
    - -1.4081532572346456e-30
    a5:
    - 1.0
    - -2.8163065144692913e-30
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - 1.0
    - -2.8163065144692913e-30
    a8:
    - -7.040766286173228e-31
    - 1.0
    a9:
    - 1.0
    - -2.8163065144692913e-30
    algebraic: true
    analytic_conductor: 11.283817103435627
    analytic_normalization: 0
    bad_lfactors:
    - - 3
      - - 1
    - - 5
      - - 1
    - - 7
      - - 1
    bad_primes:
    - 3
    - 5
    - 7
    central_character: '105.62'
    coeff_info:
    - x^4 - 1
    - 6.12323399573677e-17 + 1.00000000000000*I
    - \\zeta_{4}
    conductor: 105
    conductor_radical: 105
    conjugate: dirichlet_L_105.83
    degree: 1
    dirichlet_coefficients:
    - 1
    - -I
    - 0
    - -1
    - 0
    - 0
    - 0
    - I
    - 0
    - 0
    - -1
    - 0
    - I
    - 0
    - 0
    - 1
    - I
    - 0
    - 1
    - 0
    - 0
    - I
    - I
    - 0
    - 0
    - 1
    - 0
    - 0
    - 1
    - 0
    - -1
    - -I
    - 0
    - 1
    - 0
    - 0
    - I
    - -I
    - 0
    - 0
    - 1
    - 0
    - -I
    - 1
    - 0
    - 1
    - I
    - 0
    - 0
    - 0
    - 0
    - -I
    - I
    - 0
    - 0
    - 0
    - 0
    - -I
    - -1
    - 0
    - -1
    - I
    - 0
    - -1
    - 0
    - 0
    - I
    - -I
    - 0
    - 0
    - -1
    - 0
    - I
    - 1
    - 0
    - -1
    - 0
    - 0
    - -1
    - 0
    - 0
    - -I
    - -I
    - 0
    - 0
    - -1
    - 0
    - -I
    - -1
    - 0
    - 0
    - -I
    - 0
    - 1
    - 0
    - 0
    - -I
    - 0
    - 0
    - 0
    euler_factors:
    - - 1
      - 0
    - - 0
    - - 0
    - - 0
    - - 1
      - -1
    - - 1
      - 0
    - - 1
      - 0
    - - 1
      - 0
    - - 1
      - I
    - - 1
      - 0
    - - 1
      - 0
    - - 1
      - -1
    - - 1
      - 0
    - - 1
      - I
    - - 1
      - 0
    - - 1
      - 0
    - - 1
      - 1
    - - 1
      - I
    - - 1
      - 0
    - - 1
      - 1
    - - 1
      - 0
    - - 1
      - 0
    - - 1
      - I
    - - 1
      - I
    - - 1
      - 0
    - - 1
      - 0
    gamma_factors:
    - - 1
    - []
    id: 2048
    index: 0
    label: 1-105-105.62-r1-0-0
    leading_term: 0.975119353347949840281850885398+0.277010973529366731288044775265*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/105/62
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 1.0137025366099326
    - 1.3480313850765564
    - 1.3876852465661962
    - 1.1198457286622254
    - 0.5776422789386717
    - -0.11771810572527763
    - -0.7590737479416733
    - -1.111479793659184
    - -1.0084211027079477
    - -0.44525324534592003
    - 0.37969100510262976
    - 1.1126893861226503
    - 1.3814087288041221
    - 0.974666184894741
    - -0.016345633427247156
    - -1.1778588445630394
    - -1.9132198193513066
    - -1.705480536367298
    - -0.3920803543177642
    - 1.6890322327769705
    - 3.7814488058561806
    - 5.016054287128738
    - 4.815038249940979
    - 3.196401637069921
    - 0.8074916918158896
    - -1.3577706799517097
    - -2.4348507768933487
    - -2.1157893762080775
    - -0.7925937657645751
    - 0.6744217760989659
    - 1.4446563246770092
    - 1.1668479318107248
    - 0.15393969631101623
    - -0.8455727239678436
    - -1.1428025823116745
    - -0.559531255281914
    - 0.45895489966906816
    - 1.1528635171454955
    - 0.9828286149305892
    - 0.029519675425193445
    - -1.0320856060541022
    - -1.3949981128238453
    - -0.7203110346183422
    - 0.549349284902605
    - 1.4219239028422521
    - 1.0250194704555267
    - -0.7234000727031005
    - -2.926103590496878
    - -4.189616249746204
    - -3.5115003849000828
    - -0.9937360298437379
    - 2.124172424788865
    - 4.183972043901923
    - 4.135103914009368
    - 2.1894407664236777
    - -0.3449074642175184
    - -1.9443415796794752
    - -1.861146545877323
    - -0.5423654488107207
    - 0.7979347244464586
    - 1.1169974089382118
    - 0.29112333685302844
    - -0.8726850812702553
    - -1.340659540164118
    - -0.7019173900261624
    - 0.5133242511024019
    - 1.2977721446267427
    - 1.0315027465335302
    - 0.02928801367186496
    - -0.7027714549698234
    - -0.3281226317803515
    - 1.0485324022604314
    - 2.3750363158893295
    - 2.4836944156768985
    - 1.1240173827326705
    - -0.6695046054037446
    - -1.2599084349082446
    - 0.3168301153547742
    - 3.4729013691127593
    - 6.334519143756625
    - 7.031524870966745
    - 5.063900626970918
    - 1.6904419780068225
    - -0.9836826071072396
    - -1.5319182615170424
    - -0.17195043002754082
    - 1.553253071151164
    - 2.077975830339348
    - 1.0254932578590676
    - -0.6328653014708335
    - -1.533731277078901
    - -1.126690694609188
    - -0.08784535764669316
    - 0.3783743174165065
    - -0.31474272731344555
    - -1.5919454910397688
    - -2.2684480836910708
    - -1.6883768899629263
    - -0.3856617817917993
    - 0.38027440979300203
    - -0.17292833802457508
    - -1.519118377143789
    - -2.19643666314496
    - -1.1413719926350563
    - 1.1871151591128575
    - 2.9756188826976766
    - 2.5033901665377023
    - -0.31352641538127457
    - -3.6481372284829234
    - -5.09780435328023
    - -3.5802459743208237
    - -0.2093612456928649
    - 2.602055853754843
    - 3.0658399234460423
    - 1.3522191115245557
    - -0.7527044174868462
    - -1.488258477879559
    - -0.5798323847493193
    - 0.7299816407323862
    - 0.99800776552184
    - -0.04279726868938017
    - -1.3205112324695747
    - -1.558125764643895
    - -0.5547226862283086
    - 0.6441751213647873
    - 0.8376620679398713
    - -0.07802255719937154
    - -0.9686540000309549
    - -0.6132839442491247
    - 0.9806070978069676
    - 2.454165842660155
    - 2.392288324811632
    - 0.831570036969935
    - -0.5449467874619583
    - 0.12921332982653297
    - 3.055432166672619
    - 6.301651256121537
    - 7.295565876311891
    - 5.0400206173373245
    - 1.0620529303383344
    - -1.8111351116732548
    - -1.796877967391627
    - 0.45388120795395015
    - 2.6200862681044055
    - 2.8531658199739383
    - 1.3062268441308984
    - -0.2835669178630694
    - -0.417881378113868
    - 0.7587433231545989
    - 1.7828562173625273
    - 1.4780800744468552
    - 0.15578888766156931
    - -0.7923709083517732
    - -0.42881807463804755
    - 0.7078702390668032
    - 1.1819647581324066
    - 0.23765547544120966
    - -1.3109239076227608
    - -1.883581458179624
    - -0.8573958494972668
    - 0.6118381140857534
    - 0.6569809057901973
    - -1.3030519664935218
    - -3.675731864060703
    - -3.98399611454968
    - -1.2415476071224896
    - 2.876924722041198
    - 5.325758728554166
    - 4.345472797545419
    - 1.020174973173833
    - -1.7379493756313813
    - -1.8133759715880955
    - 0.353074655006647
    - 2.4544746287812345
    - 2.6493142108337926
    - 1.201616028831973
    - -0.08458714889956839
    - 0.11784109720885774
    - 1.3403454748586308
    - 1.9947809529318965
    - 1.199172840831145
    - -0.2609289069365264
    - -0.8482881431598379
    - -0.017001618419940454
    - 1.1659055676439798
    - 1.2320710603911973
    - 0.02817961660950684
    - -1.0070636108269653
    - -0.4159833438654661
    - 1.5177788804722059
    - 2.826854517863995
    - 1.870708833291025
    - -0.7319790263604594
    - -2.3923005953655254
    - -0.9996240970719252
    - 2.8386408934500755
    - 6.096092291544014
    - 6.026968026386547
    - 2.692451625188047
    - -1.1498991513382815
    - -2.6608638196855248
    - -1.4457245162231511
    - 0.42867921693218797
    - 0.757159405942323
    - -0.6228280104849919
    - -1.9594077195760093
    - -1.6753549080184018
    - -0.061298672296937015
    - 1.2000497521748337
    - 1.0079666487884884
    - 0.0425138673178103
    - -0.12977892500398588
    - 1.0359212518351977
    - 2.3646843881820194
    - 2.3072884727779592
    - 0.7982552243443299
    - -0.5587862901667795
    - -0.30519500944782596
    - 1.0668248958433098
    - 1.4703464912311415
    - -0.4442436210858787
    - -3.4781030887040036
    - -4.743579468766845
    - -2.5452324543696463
    - 1.662645912176246
    - 4.415880294705996
    - 3.488151191903136
    - 0.006634547149855724
    - -2.71002158650478
    - -2.3907398881582638
    - 0.16366365362003352
    - 2.213410795162657
    - 1.9987316915748916
    - 0.32989542801152527
    - -0.6602616399577401
    - -0.005570800264549981
    - 1.1619954022108985
    - 1.1294967667196656
    - -0.32142113248132553
    - -1.69765086432263
    - -1.6146565424804713
    - -0.45291694823611267
    - 0.12692263427737122
    - -0.760217582471903
    - -2.0649332652234915
    - -2.004551313943985
    - -0.28926867798381184
    - 1.2979486466125167
    - 0.8479059153402795
    - -1.2986910599975574
    - -2.5640471945287278
    - -0.8142913584258392
    - 3.0890816595253163
    - 5.774465013813568
    - 4.618930127036778
    - 0.45165109744544735
    - -3.176056134039712
    - -3.4468215301929757
    - -0.8815842160289923
    - 1.5285619533885881
    - 1.561930081946203
    - -0.14426879640566445
    - -1.2237187612054974
    - -0.4052739770699633
    - 1.204273459130874
    - 1.6532322271655548
    - 0.5099697860275196
    - -0.7387356697884683
    - -0.6061467850951912
    - 0.5612118864370955
    - 1.0613591176345514
    - 0.013086501660324296
    - -1.4652187774493224
    - -1.5820714396608058
    - -0.14351894893509
    - 1.0512558506802678
    - 0.34309750353327595
    - -1.5828461159279696
    - -2.1912511998876982
    - -0.004409342511259729
    - 3.3310495144000614
    - 4.397830627157913
    - 1.5851532080787938
    - -2.9672939360875117
    - -5.323620110130323
    - -3.650831223381521
    - 0.058968170397682165
    - 2.2201043441590853
    - 1.3418812444318862
    - -0.7805882898312055
    - -1.4234171169544663
    - 0.019010451587584406
    - 1.6822013780647909
    - 1.6849259054012158
    - 0.32224008195931936
    - -0.5230324704907947
    - 0.16710464746157913
    - 1.3138713397447637
    - 1.192441835176941
    - -0.31635559162711085
    - -1.523188744161022
    - -1.0536512624232768
    - 0.36620888614613895
    - 0.7805340781550312
    - -0.4430627227581877
    - -1.5750712321325335
    - -0.5070731300838487
    - 2.460196003777088
    - 4.4871696101561955
    - 3.2346653240562153
    - -0.255339239287824
    - -2.2933230827504194
    - -0.36838627822846814
    - 4.065772525973836
    - 6.985420099568738
    - 5.9132941217495265
    - 2.2893035459960682
    - -0.36748292681056904
    - -0.26899040131830054
    - 1.1223608159638316
    - 1.286546358977432
    - -0.2903429277904189
    - -1.7612755604228416
    - -1.4117606968666774
    - 0.22373040628909419
    - 1.164796511873385
    - 0.5390149056880021
    - -0.39224236668314716
    - 0.011822162771064997
    - 1.539319774615713
    - 2.3274912321379437
    - 1.2985797674184931
    - -0.2948299918032398
    - -0.32920180186171366
    - 1.4175406646927624
    - 2.729229747893376
    - 1.608003617880336
    - -0.9549305850305845
    - -1.646836100412829
    - 1.4580479049892192
    - 6.338081287366432
    - 8.77748105929421
    - 6.718207284761808
    - 2.403907744889935
    - -0.08760172768578922
    - 0.8644672162010502
    - 3.0692694518892263
    - 3.3837758098224207
    - 1.2734390612638158
    - -0.9669166536083683
    - -1.2286319462019177
    - -0.004757565925780138
    - 0.5844024364297429
    - -0.3514734686071135
    - -1.4243191541330955
    - -0.9346816318168617
    - 0.8121150727118356
    - 1.8688755400116264
    - 1.1921220461835835
    - 0.016052360262655982
    - 0.1969456140453199
    - 1.6387549275886064
    - 2.2374835545492977
    - 0.6251214464952336
    - -1.7383207524114437
    - -2.0350862781188965
    - 0.37360317780519586
    - 2.700165075908812
    - 1.6611065588804683
    - -2.5897592234044597
    - -6.208371230316929
    - -5.654879348893211
    - -1.507032982749141
    - 2.234670199900588
    - 2.5066744289422855
    - 0.21249430267763075
    - -1.3416602971141185
    - -0.44341989331657566
    - 1.3752973628399368
    - 1.674195276340094
    - 0.22205296080513265
    - -0.9553169310469543
    - -0.3693497825357339
    - 1.0429850284997388
    - 1.3014171608151888
    - 0.0780902022690047
    - -0.8941176765615774
    - -0.21453682573555755
    - 1.2147091551904767
    - 1.3420801616593372
    - -0.20338544177171458
    - -1.4084660509927411
    - -0.4497601092284621
    - 1.6808725348910765
    - 2.1009182433480316
    - -0.2916749597767937
    - -2.945016047011291
    - -2.2652815080399282
    - 2.0758470027761073
    - 6.305106520747911
    - 6.455144835103974
    - 2.6447721577752024
    - -1.1875402819566878
    - -1.7141178792528848
    - 0.3743858094507674
    - 1.750762001236243
    - 0.608778869048747
    - -1.49023394683639
    - -1.9934123965756756
    - -0.6336080523992168
    - 0.5069873675829413
    - -0.08214272255465815
    - -1.4170431702918693
    - -1.5311569636367763
    - -0.24205462011721124
    - 0.5941516475889265
    - -0.3372225867916591
    - -1.9209667401601789
    - -2.0505783572499707
    - -0.5346881323971189
    - 0.5060800261143279
    - -0.49642210059991765
    - -2.1454164669210942
    - -1.5596581786141865
    - 1.7894511837649119
    - 4.788001491482486
    - 4.001548614093467
    - -0.12169164052333521
    - -3.3556889668596557
    - -2.2956800744066896
    - 1.8436275774762638
    - 4.690823188057652
    - 3.662196996835617
    - 0.5582691421713665
    - -1.000078167002434
    - 0.1266462432765197
    - 1.7560050885773806
    - 1.5961942725923968
    - 0.12978009695421275
    - -0.38690852009291443
    - 0.8532482555884742
    - 2.1544163785685093
    - 1.703970985836899
    - 0.036700368825151014
    - -0.773819624532882
    - -0.03011054500876605
    - 0.6219391730946529
    - -0.42954680131072454
    - -2.284751151089845
    - -2.5011147328955508
    - -0.42953702423270823
    - 1.5915965225829396
    - 1.1272041931277332
    - -0.9093311617252141
    - -0.9385859982825848
    - 2.856222743110789
    - 7.744977368290829
    - 9.06673274574599
    - 5.430377173920539
    - 0.32931939031760926
    - -1.7953572876848183
    - -0.34673892066337564
    - 1.3688821048445194
    - 0.5147804758503487
    - -2.0223865659956433
    - -3.2478888147293055
    - -2.038258237403955
    - -0.30203316795887014
    - -0.1607873766139143
    - -1.1726867759784665
    - -1.240114940711516
    - 0.2845287342011089
    - 1.66065438601693
    - 1.231059581414491
    - -0.19886020818309272
    - -0.44454786002587704
    - 0.9644252966990434
    - 2.0254497985420024
    - 1.063910198270936
    - -0.6879780924846892
    - -0.5040401538647562
    - 1.993559579373295
    - 3.7367359304002123
    - 1.796972451915279
    - -2.612921669876893
    - -5.004898371415167
    - -2.730228361870938
    - 1.7769439001722493
    - 3.6982067061923654
    - 1.302124772645565
    - -2.3588793669180443
    - -3.351091509008212
    - -1.3654072172655158
    - 0.5580209636512258
    - 0.22607276695114056
    - -1.1774376857769941
    - -1.1828235032464396
    - 0.4587812296114125
    - 1.6001276145523688
    - 0.818787460857199
    - -0.630762602090098
    - -0.6761269424715878
    - 0.6227810354569604
    - 1.2194345612961457
    - 0.11345396780217593
    - -1.0595729521970623
    - -0.26730170941284
    - 1.8874116234724263
    - 2.733130787387139
    - 1.2369300871672424
    - -0.1857259088509712
    - 1.375505421575026
    - 5.154997492619339
    - 6.969805941657705
    - 4.123011194167836
    - -1.00716365163195
    - -3.3903525981335427
    - -1.0580869472836205
    - 2.800757768654395
    - 3.8101537363442786
    - 1.4216331538505333
    - -1.066000290194076
    - -1.013405645518846
    - 0.5092463376550032
    - 0.7287912510437221
    - -0.9145346165354613
    - -2.2378129647490677
    - -1.5457944504649395
    - 0.05885822385348673
    - 0.39751758725411934
    - -0.646699495500242
    - -1.0692046065073197
    - 0.20656335180116428
    - 1.5968794897627863
    - 1.0280673325871994
    - -1.004676139790052
    - -1.9549340159649775
    - -0.8388811544015082
    - 0.11028360854364068
    - -1.5790966863180127
    - -4.77525050136564
    - -5.488706928772581
    - -1.8208916127041443
    - 3.124321721560656
    - 4.4650789712915575
    - 1.2323600060501851
    - -2.5081929680865516
    - -2.5347711825007044
    - 0.7055051284460037
    - 3.1467181101771944
    - 2.322675405191592
    - 0.021961763835277568
    - -0.5987583120794511
    - 0.8213468021620269
    - 1.8673033322693207
    - 1.0305748950454534
    - -0.2683992693410312
    - 0.052204745715673365
    - 1.6397185299079844
    - 2.225361685909321
    - 0.9193574632263612
    - -0.516269972436259
    - -0.2728878093483227
    - 0.7967399938996581
    - 0.3958897143677275
    - -1.6723965921363835
    - -2.8038776798423157
    - -1.1133173823937605
    - 1.565317097444873
    - 1.710572398643528
    - -1.0742116280086225
    - -2.9408377207774987
    - -0.38549321692270455
    - 5.047849812188705
    - 8.131267137438746
    - 5.970490826494734
    - 1.2564604968404889
    - -1.1905529694188726
    - -0.05876746559726058
    - 1.6317077175737091
    - 1.0165994306276005
    - -1.0176045837390002
    - -1.584719657760981
    - 0.01747757320635995
    - 1.5230430477005805
    - 1.0535087118343804
    - -0.35518436283075167
    - -0.5258147092002536
    - 0.5675066179197972
    - 0.8228828544077654
    - -0.7386263183334473
    - -2.322597063662652
    - -1.8472142691438764
    - -0.02833217709194609
    - 0.5454991605224281
    - -0.7464299227584658
    - -1.3514377055764282
    - 0.8902019207572714
    - 4.142314267193968
    - 4.2915104933798345
    - 0.2970960821499461
    - -3.8530274845974146
    - -3.619556874306228
    - 0.5678262592393517
    - 3.7930315963960846
    - 2.603165853811252
    - -1.0765660564633173
    - -2.7885797516388484
    - -1.1339549656677042
    - 1.0766629663649052
    - 1.046692044472925
    - -0.4502496762818723
    - -0.7262180823248113
    - 0.7886777334340765
    - 1.9147805548499803
    - 1.0838405341723163
    - -0.3721349077760421
    - -0.26848463598058886
    - 1.1770271684349582
    - 1.710013926850753
    - 0.48156284881997263
    - -0.5674869854604911
    - 0.4302055417076295
    - 2.2876790441998494
    - 2.2491485985557573
    - 0.12636927635323056
    - -0.9292942265735714
    - 1.3431134961091977
    - 4.6735397117159785
    - 4.611231797877878
    - 0.3137934476231528
    - -3.832808438305489
    - -3.2854496149712085
    - 1.1583556976812999
    - 4.435312166945167
    - 3.4059698006568193
    - 0.2287369817150348
    - -1.0317127668150587
    - 0.35868813038003433
    - 1.551637613697594
    - 0.5386363411052284
    positive_zeros:
    - '1.510770454804617882590380067103'
    - '2.98572939418016749054447739092'
    - '4.37062071932560717998920505641'
    - '5.69034467675670722687335627643'
    - '7.605609188772651339637798025904'
    - '8.9099309481894105865058220559'
    - '10.04218328455248515303816725316'
    - '11.11111527641253730828016001464'
    - '12.19549982816182197562284435915'
    - '13.30592804289734548550583790756'
    - '14.26629951072653476900934713745'
    - '15.72312168212251490904815690420'
    - '17.141685661949906251734544241922'
    - '18.23627020972632811165172509106'
    - '19.137603037643431779506549092930'
    - '20.18213979376223114596915264427'
    - '21.25871821659880649466736421449'
    - '21.965331944079479711939263051881'
    - '23.31154208887711050229175138388'
    - '24.02273806519508520735161875703'
    - '25.797978175479164416069098744693'
    - '26.59128790396878663945972776246'
    - '27.68915123418808460429519022151'
    - '28.7803542822713027662624067000'
    - '29.281772712175060894556577932018'
    - '30.73243870337836964543139039330'
    - '31.19966440933177163605704573281'
    - '32.34918618334889596634090215024'
    - '33.40921720292445860950009024490'
    - '34.70626078681785621270730871210'
    - '35.81266316260353744324383409540'
    - '36.6896163190945585993489210338'
    - '37.490461200394698071479729244267'
    - '38.56699411310483685678528133700'
    - '39.353820309188555096241844769995'
    - '40.13865646211365887729535658548'
    - '41.40272554030705939822733864768'
    - '41.853510884499696333684777055250'
    - '43.52784290650453937554836358875'
    - '44.32107372277754966128183517360'
    - '45.54998790846056723753242767371'
    - '46.07243363952985234678400444342'
    - '47.22337256868092079603790536564'
    - '47.93507890645070021656294238703'
    - '48.79804203112246946734356865323'
    - '49.8547332354672342755765208952'
    - '50.44890335991443778565210659939'
    - '51.657426981365555934956822804781'
    - '52.90601742297775579922605930026'
    - '53.70694415806613501649830121143'
    - '54.963400141151754967394587960977'
    - '55.26953209431828905844415750164'
    - '56.501405992173908746570831848915'
    - '57.19163411471588005514365091830'
    - '58.13114965662448003649990031454'
    - '58.82806846277982883999602462909'
    - '59.915830775136234946203683415981'
    - '60.71842109953413878487394750168'
    - '62.081530748988384694228338893279'
    - '63.03913620417556944916849579500'
    - '63.63394462686135390269973915751'
    - '64.69856051502604452527408964306'
    - '65.64208255761029536769629448475'
    - '65.99542446012008494364368263084'
    - '67.339007209535035007801424996980'
    - '67.89035305284602757313084376713'
    - '68.70006007681824368872106933698'
    - '69.87855584797370060808530241789'
    - '70.93806397914796918146664375034'
    - '71.856667231642587849651317764704'
    - '72.878464042419066989657615403391'
    - '73.43891518733813798067720930518'
    - '74.31686507280489834273824755878'
    - '75.46503635661887712057604976833'
    - '75.7202844759440517818803364219'
    - '76.91935888468278941495967663818'
    - '77.63608257048926308515226698952'
    - '78.50998153043053460553477376309'
    - '79.71872012096855329310605613373'
    - '80.71833750063880426168343544558'
    - '81.53762682751562433166016870521'
    - '82.26463908501235993865179277510'
    - '83.23082479258781274984427852533'
    - '83.9197081510724878907229542332'
    - '84.6900735110735597101455423634'
    - '85.65155844332523760711538113731'
    - '86.310234169683587543159163104120'
    - '87.18791882810539071284868012121'
    - '88.233537381140077145380129082080'
    - '89.36970190059443988445925660465'
    - '90.19058991640258522605631066347'
    - '90.93448197838476966915156879954'
    - '91.95033559334834360012541735878'
    - '92.456267950724925162904439416035'
    - '93.380053384063107819990428382219'
    - '94.289946584424398202333315125525'
    - '94.912146876905743410568683504464'
    - '95.68735599232159710738806326793'
    - '96.85206623825393082725237748994'
    - '97.529658844736347787535628807765'
    - '98.99213255144620533202238000182'
    - '99.438811682772079626847811589915'
    - '100.26537444695644842030167157569'
    - '101.20778844901879285301801655440'
    - '102.02668189941949594217407300116'
    - '102.49690223047575237822206194031'
    - '103.677604545279945567406160017847'
    - '104.14122299193369922280890124783'
    - '105.192850689459606568949008046884'
    - '105.82963112348232996176489059010'
    - '107.468794919889706261446629078406'
    - '107.64916199502605141255719388861'
    - '108.90508919745543886120609661526'
    - '109.688693961467578142535212206671'
    - '110.22878097808607094276538555846'
    - '111.11211220932093471177967655786'
    - '112.19478184429579873826079854841'
    - '112.4299366803573057919413665031'
    - '113.51456070727008180512664760105'
    - '114.33630157517213816044285765765'
    - '115.138424692878040972126622359162'
    - '116.35403392095339450495748425724'
    - '117.21490087555557699883936809983'
    - '117.88522301973528413343757810752'
    - '118.79113480514138669541966266283'
    - '119.45552909909620579806935253186'
    - '120.32929601809666645553111449551'
    - '120.983753303397948478265704104059'
    - '121.84026289147186383112832743506'
    - '122.56708611736688651742984825230'
    - '123.40871029598179567227564225603'
    - '124.244754096473988969429441037391'
    - '125.50527095371896569420638797892'
    - '126.20017982933103402589120540152'
    - '126.96146295424888023604283261748'
    - '127.94178254851238041740489455586'
    - '128.41746092466211005621206708701'
    - '129.429972867646510853391125786149'
    - '129.93092194396771111854337523428'
    - '131.04411827307338685175008910036'
    - '131.46767879583998800438559098315'
    - '132.35273027217561619205039885751'
    - '133.42907667483326571474023540441'
    - '134.24419491089493796121856446626'
    - '135.378908710252041269810820438912'
    - '135.9163656593167623446909426351'
    - '136.906505765808361323010174388062'
    - '137.32508478620559082833194338641'
    - '138.444896324056980621490942355858'
    - '139.07118426822012422794958126316'
    - '139.60775913076610612970901227931'
    - '140.67719438755097053993595318393'
    - '141.42041613740279989231029850855'
    - '141.98439066970839326277405384192'
    - '143.46324747762929975409232564965'
    - '144.1103120923470881193561073692'
    - '144.756399352723901689049076089766'
    - '146.07548363446522194752904391842'
    - '146.149521649958773623993027851011'
    - '147.13948387741387493586402638363'
    - '148.07534118605034803449584669518'
    - '148.56350730144198309855050525871'
    - '149.54899500906448658354965646710'
    - '150.081166251427521658070823998102'
    - '151.0696929951115758226828115187'
    - '152.06058346391039523271051655696'
    - '152.9159429829335067025116575520'
    - '153.93643351553910994381565454230'
    - '154.4257920388511402259427130053'
    - '155.235145314029410023910729963922'
    - '156.0988784037581908963988881584'
    - '156.73710305464779905595582039338'
    - '157.52253959444838165202686133423'
    - '158.16792872767899924705696003473'
    - '159.2861303209277363375240207193'
    - '159.496232154957684206513736158322'
    - '160.87192696878042717108180984221'
    - '161.64349047754684438136219354708'
    - '162.650443892557725099263454454496'
    - '163.32881899915536476343848852631'
    - '163.91324053091271073940217567523'
    - '164.98555570367063234402206579312'
    - '165.4531130511923224134330092378'
    - '166.21306055955736359911430731049'
    - '167.0378797992679198874375096197'
    - '168.01514453973053181473425360026'
    - '168.19236635863538009980890513771'
    - '169.482110938279886554177410897245'
    - '170.400128625452062149782607134211'
    - '171.18925103083413042040770969747'
    - '172.19123937666884491957264989108'
    - '172.66051340006386654466677259079'
    - '173.660872117964416477314200054515'
    - '174.0492824269483783800980863948'
    - '175.16883897223130810031888231645'
    - '175.70066331968107578122906096130'
    - '176.32239587161183536596749541595'
    - '177.30692939604900123614526159929'
    - '178.02046877448437640741389271169'
    - '178.77483894765529910523458919169'
    - '180.10552434583564288503412981175'
    - '180.63375680553102844253415021060'
    - '181.40483090611913355886542250963'
    - '182.184825248806701986936266110702'
    - '183.03526167378944970414513679663'
    - '183.599843995820168534474730051'
    - '184.25671320677786323173959620743'
    - '185.31811937002619673409432063455'
    - '185.78640185688078137692894559959'
    - '186.47491762767140979714057104549'
    - '187.51851284259532923412829357404'
    - '188.3996045758208115518633221030'
    - '189.281874199679571694932611291920'
    - '190.13791885013727536306488726399'
    - '190.84045834299288175455200889234'
    - '191.423552607330268245365721336847'
    - '192.40056117884855919730790534624'
    - '192.880842868345445503744173084792'
    - '193.848959721230082604901268011746'
    - '194.29742460684976838492672857609'
    - '195.3305081435630285290749229572'
    - '195.80368980196832944974807158057'
    - '196.893852183334086331637982511289'
    - '197.738171979331455254131266793742'
    - '198.77707333364064780313904513330'
    - '199.31507163786637935019480458897'
    prelabel: 1-105-105.62-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 11.283817103435627
    root_angle: 0.1762081911747834
    root_number: 0.850650808352039932181540497063+0.525731112119133606025669084848*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0881040955874'
      prec: 50
    spectral_label: r1-0
    st_group: mu(4)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.843964498053507794372984784471-0.199232992137116783033645803753*I
    z1:
      __RealLiteral__: 0
      data: '1.5107704548'
      prec: 40
    z2:
      __RealLiteral__: 0
      data: '2.98572939418'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.37062071933'
      prec: 44
- - algebraic: true
    analytic_conductor: 11.283817103435627
    bad_primes:
    - 3
    - 5
    - 7
    central_character: '105.62'
    conductor: 105
    conductor_radical: 105
    degree: 1
    id: 2048
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/105/62
    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: 1-105-105.62-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-105-105.62-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 11.283817103435627
    root_angle: 0.0881040955873917
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.5107704548'
      prec: 40
- - Lhash: dirichlet_L_105.62
    Lhash_array:
    - dirichlet_L_105.62
    id: 1783462
    label: 1-105-105.62-r1-0-0
    type: DIR
    url: Character/Dirichlet/105/62
label_cols:
- label
- label
- label
labels:
- 1-105-105.62-r1-0-0
- 1-105-105.62-r1-0-0
- 1-105-105.62-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T00:42:21.546896'