data:
- - Lhash: dirichlet_L_3381.527
    a10:
    - -0.44000023457108695
    - -0.8979976578908145
    a2:
    - -0.9985206917896564
    - 0.054373045416879255
    a3:
    - 1.0
    - -2.8163065144692913e-30
    a4:
    - 0.994087143864188
    - -0.10858522184874536
    a5:
    - 0.3905224711747844
    - 0.9205933953203986
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - 1.0
    - -2.8163065144692913e-30
    a8:
    - -0.9867124733912889
    - 0.1624761362602058
    a9:
    - 1.0
    - -2.8163065144692913e-30
    algebraic: true
    analytic_conductor: 15.701297990361368
    analytic_normalization: 0
    bad_lfactors:
    - - 3
      - - 1
    - - 7
      - - 1
    - - 23
      - - 1
    bad_primes:
    - 3
    - 7
    - 23
    central_character: '3381.527'
    coeff_info:
    - x^462 - 1
    - 0.999907521857918 + 0.0135995489615099*I
    - \\zeta_{462}
    conductor: 3381
    conductor_radical: 483
    conjugate: dirichlet_L_3381.494
    degree: 1
    dirichlet_coefficients:
    - a^0
    - a^227
    - 0
    - a^454
    - a^86
    - 0
    - 0
    - a^219
    - 0
    - a^313
    - a^136
    - 0
    - a^192
    - 0
    - 0
    - a^446
    - a^316
    - 0
    - a^245
    - a^78
    - 0
    - a^363
    - 0
    - 0
    - a^172
    - a^419
    - 0
    - 0
    - a^393
    - 0
    - a^406
    - a^211
    - 0
    - a^81
    - 0
    - 0
    - a^365
    - a^10
    - 0
    - a^305
    - a^9
    - 0
    - a^243
    - a^128
    - 0
    - 0
    - a^143
    - 0
    - 0
    - a^399
    - 0
    - a^184
    - a^160
    - 0
    - a^222
    - 0
    - 0
    - a^158
    - a^313
    - 0
    - a^197
    - a^171
    - 0
    - a^438
    - a^278
    - 0
    - a^7
    - a^308
    - 0
    - 0
    - a^447
    - 0
    - a^256
    - a^130
    - 0
    - a^237
    - 0
    - 0
    - a^203
    - a^70
    - 0
    - a^236
    - a^354
    - 0
    - a^402
    - a^8
    - 0
    - a^355
    - a^452
    - 0
    - 0
    - 0
    - 0
    - a^370
    - a^331
    - 0
    - a^273
    - 0
    - 0
    - a^164
    euler_factors:
    - - 1
      - a^227
    - - 0
    - - 1
      - a^86
    - - 0
    - - 1
      - a^136
    - - 1
      - a^192
    - - 1
      - a^316
    - - 1
      - a^245
    - - 0
    - - 1
      - a^393
    - - 1
      - a^406
    - - 1
      - a^365
    - - 1
      - a^9
    - - 1
      - a^243
    - - 1
      - a^143
    - - 1
      - a^160
    - - 1
      - a^313
    - - 1
      - a^197
    - - 1
      - a^7
    - - 1
      - a^447
    - - 1
      - a^256
    - - 1
      - a^203
    - - 1
      - a^354
    - - 1
      - a^452
    - - 1
      - a^273
    - - 1
      - a^79
    gamma_factors:
    - - 0
    - []
    id: 2114768
    index: 0
    label: 1-3381-3381.527-r0-0-0
    leading_term: 0.378663189651901454399431643126-0.251082870016039282078798532644*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/3381/527
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 0.4543439432993946
    - -0.3043735328502247
    - -1.5490204433089185
    - -2.5494551736131266
    - -2.246766194764938
    - -0.667978825682776
    - 0.7788608790191007
    - 0.7793213918105171
    - -0.12538315797543323
    - 0.1853401324717272
    - 2.8315804013701937
    - 5.891459363298705
    - 5.878937248174354
    - 1.7793071093596797
    - -3.0222437858407494
    - -3.877279571045819
    - -0.009907430335014088
    - 4.4524419604695895
    - 5.126495441258576
    - 2.215283659340779
    - -0.35863207175572187
    - -0.15558793492402245
    - 1.1703486645307477
    - 0.9998128983589087
    - -0.24262759454534044
    - -0.024133108683432367
    - 2.0580369442132045
    - 3.326832555124543
    - 1.928919598983641
    - -0.36077634397624214
    - -0.8112994327479485
    - 0.23146193644857838
    - 0.26983251676205583
    - -1.0189233800191504
    - -1.2258045351406641
    - 0.4558269308595277
    - 1.2898160123080276
    - -0.6277342450540834
    - -2.4554334833559746
    - -0.39296236310029153
    - 3.740308563947748
    - 3.881694980009998
    - -1.5958910511558857
    - -6.643571837084886
    - -5.440655465245688
    - -0.3267008707644613
    - 1.938539642485255
    - -0.17280553375681718
    - -1.867565204841517
    - -0.3224417899948257
    - 1.1927001048451336
    - -0.6146929909193486
    - -3.3819746335247642
    - -3.0441398567080187
    - -0.37449933924918494
    - 0.7366239382969356
    - -0.24978627693956593
    - -0.42253504180012436
    - 0.8767401127472731
    - 1.089336362929063
    - -0.3581011046414818
    - -0.6868313261248925
    - 0.9031179791914383
    - 1.2044653115389152
    - -1.185606663989095
    - -2.518929390989616
    - -0.04195681822658885
    - 2.602728971824498
    - 1.1082755239284727
    - -1.6666087755362842
    - 0.05887935194027206
    - 4.84950132508378
    - 5.59134796559634
    - 1.1886080721536003
    - -1.1268778933791344
    - 2.60182675622875
    - 6.602343013587024
    - 4.75133075660954
    - 0.02954878065434624
    - -1.1415548409787704
    - 0.9167088670336383
    - 1.3032867707483458
    - -0.5029982965901941
    - -0.9410946161169654
    - 0.29670262771841055
    - 0.22368598760537212
    - -1.00149282417589
    - -0.3213836723728616
    - 1.7390269240093035
    - 1.4426380887590347
    - -1.03764056633085
    - -1.5223068031995577
    - 0.464643386193882
    - 0.8018255791790185
    - -1.25073204882027
    - -1.5731588003460657
    - 0.4222628875787348
    - -0.07261767523349934
    - -3.6773917266487604
    - -3.8878632510775586
    - 1.5111063029326064
    - 4.551011279805847
    - -0.6971340993850142
    - -7.562120735063955
    - -6.673095499880965
    - -0.2180159447319183
    - 2.8634129021003885
    - 1.0765569183918267
    - -0.05620193064644414
    - 0.7997732416377998
    - 0.11713939351150039
    - -1.7905195237166047
    - -1.0103462701833346
    - 1.7769534032907854
    - 2.06600756175078
    - -0.05986404938291141
    - -0.45184844109253264
    - 0.9209936627584159
    - 0.4365154457217028
    - -1.4051743044773508
    - -0.9010683009212195
    - 1.137148518828038
    - 0.9193683648027904
    - -0.4503107641483576
    - 0.5199594414550301
    - 1.218018787464465
    - -2.9660216787418068
    - -7.777387838747034
    - -4.863356034236672
    - 3.3415738835051174
    - 5.857051333097685
    - 0.6576802207767634
    - -2.874545906907995
    - -0.4213943356642085
    - 1.5270790768612978
    - -0.8000362854283987
    - -2.1365647194130206
    - 0.47101296559257244
    - 1.9202339707417886
    - -0.6425630593041896
    - -2.509391960158272
    - -0.8649703196117356
    - 0.3661776183602167
    - -0.9930989620662762
    - -1.5034381705088922
    - 0.07964314372436437
    - 0.30483388860165644
    - -1.331210282278362
    - -1.3059357462840206
    - 0.17193757530549814
    - -0.2911624675431243
    - -0.9984185927265115
    - 2.3105556751485894
    - 6.531488366890446
    - 5.073137620948563
    - 0.25139494891784686
    - -0.4117350992817974
    - 1.7215512625130538
    - -0.44869957128500904
    - -4.647885868125372
    - -2.246742185647223
    - 4.933754131554433
    - 6.3877627016759
    - 1.0086357327463178
    - -1.935602142650661
    - 0.2510694417816193
    - 0.8383909877463813
    - -2.0781385972360744
    - -2.8723437061356694
    - -0.3207864875193197
    - 0.7699152315525449
    - -0.34406477393223683
    - -0.18130542560506682
    - 0.5957412825723194
    - -0.8107260668409305
    - -2.050206850968497
    - -0.1144585919729574
    - 1.5634021445346178
    - -0.4223063498383365
    - -2.223358746884285
    - -0.4610996376401637
    - 0.8695809465983599
    - -0.8496280987654636
    - -1.0129941135129155
    - 1.8914734282575039
    - 1.8490774674760895
    - -1.6338791130709625
    - 0.22377840013095554
    - 8.649640812806318
    - 11.83878091599632
    - 4.446825602168802
    - -2.9593824865371943
    - -2.141489062987386
    - 0.7493342594970867
    - -0.6861978275315107
    - -2.2923442287517273
    - -0.30107722452059654
    - 1.222713341115317
    - 0.12824216105028957
    - 0.31182491974302207
    - 2.206071440494344
    - 1.5719159180831461
    - -0.7623934933296059
    - -0.045838750563643185
    - 2.3692506546297567
    - 1.771265770225277
    - -0.2544102705191161
    - 0.13897905313722902
    - 0.7781032803663296
    - -0.7438169846204955
    - -0.8230598926648797
    - 1.7064127314746755
    - 1.3802519824364279
    - -1.8135338741932419
    - 0.42067604585901863
    - 8.16030104410416
    - 9.792929411092391
    - 2.2155864596169104
    - -2.9608525571665387
    - -0.1091676539704491
    - 1.97566257323201
    - -1.5499067759132479
    - -3.553572929329401
    - -0.6867540716490479
    - 0.8713218442555507
    - -0.6848911205518444
    - 0.040218567908802114
    - 2.9510466255237646
    - 2.531348773764148
    - -0.21559464713874377
    - -0.03533378130351898
    - 1.7157655740294186
    - 0.9010253602437172
    - -0.5355343977623221
    - 0.0790894761173203
    - 0.13888891752073096
    - -0.9914208342389993
    - 0.6631426806721081
    - 3.8260601749250593
    - 2.3568912573893144
    - -2.000304865469052
    - -2.059837911667082
    - 0.15496594780850842
    - -2.135793511929132
    - -4.8253939906128
    - -0.12434667820093306
    - 6.281539063513598
    - 4.509431402748758
    - -0.6863451854807693
    - 0.5768258894544258
    - 4.5327609305520395
    - 2.8968912733056595
    - -0.3177727463398357
    - 1.8198739322629236
    - 4.897074167492023
    - 2.9009617664556884
    - -0.2465518032142565
    - -0.09797771559244875
    - 0.3733714389092632
    - -0.49205511267279045
    - 0.2502208282177003
    - 1.51362679011723
    - -0.3781530743201514
    - -2.5731124530312384
    - -0.846365181137377
    - 1.1874757036902046
    - -0.2119488222651311
    - -0.9195197856180024
    - 1.1904697911556466
    - 0.7904988451705602
    - -2.6267117529836956
    - -2.4101890300668916
    - 0.4992064142483438
    - -1.3233359472895585
    - -4.50114937876777
    - 0.40433373722367577
    - 8.272784118917022
    - 6.243749711440771
    - -2.4725884463412906
    - -4.451031256885907
    - 0.16001722681088254
    - 1.4316387761771558
    - -0.7782804960462094
    - -0.5573474023181024
    - 0.4477839779460369
    - -0.9778612654759953
    - -1.2830409085780654
    - 0.9926651036224101
    - 0.9816616403596444
    - -1.572197613375972
    - -1.376105282509437
    - 0.7862402106595769
    - 0.0780589078709399
    - -1.5855027065290626
    - -0.4951691758868291
    - 0.18848408041716533
    - -1.5946362998417793
    - -1.266489239231141
    - 1.4876441836487413
    - 1.117801292898048
    - -0.18322749999800594
    - 4.17879592979492
    - 8.193993777376
    - 1.4147652887471374
    - -9.279501386310503
    - -9.481139635890933
    - -2.1820098447538463
    - 0.2294789402346502
    - -1.1614024373610854
    - 1.1544316961403738
    - 3.799593559533481
    - 1.4774681384537598
    - -0.8857612011709016
    - 0.49641139948724566
    - 0.4309270948002344
    - -2.608534292678521
    - -2.8364293520915673
    - -0.09806524219932523
    - 0.20036800940264235
    - -1.084904624600865
    - -0.16548036573424837
    - 0.6314033778111791
    - -0.5914530038816813
    - -0.12464867198761723
    - 1.791555220443028
    - 0.2444234017223778
    - -2.3569997095620514
    - -0.25195921786203324
    - 2.162288199034162
    - -0.9079502864284529
    - -2.621674358494346
    - 2.921180246623565
    - 6.583634925989996
    - 1.6882582960513788
    - -2.2959124908313564
    - 0.8120449472040676
    - 2.276373968727195
    - -1.524181121605134
    - -1.2684531262787568
    - 4.790151544865399
    - 6.630135001885066
    - 2.405765928889235
    - -0.044040679834232314
    - 0.10482955450995331
    - -1.566254545283655
    - -2.877520817441817
    - -1.0204643848374233
    - 0.0914370823950411
    - -1.0280383642831636
    - -0.40922131807197115
    - 1.006299077718348
    - -0.6894040651519545
    - -2.0606586067631794
    - 0.6581164823468898
    - 2.261776621968783
    - -0.2404149959902019
    - -0.7022981519978053
    - 2.0453234477995843
    - 1.3366464964138973
    - -1.3765792818945877
    - 0.5604842265419752
    - 1.6296481598656283
    - -6.022464304077662
    - -12.84303069952663
    - -7.21599036985041
    - 1.926377244426542
    - 1.6071381754576923
    - -2.77329072168195
    - -1.875562979783619
    - 0.3846664139293867
    - -0.4165700521077884
    - 0.09138489357431662
    - 2.541016252200599
    - 1.864474521154484
    - -0.4327351518354586
    - 0.14925437856464926
    - 0.7426617976049665
    - -1.126951868511786
    - -0.8534236452261736
    - 2.1338465108383837
    - 1.9253455514619175
    - -0.9012347933666538
    - -0.8508682354764893
    - 0.32402575299486813
    - -0.7175390466360392
    - -0.5367254270642163
    - 0.466885314180356
    - -4.4479407605458
    - -11.344745072122535
    - -8.602887686961234
    - -0.48694304501407715
    - -1.1048218673259207
    - -7.20789415245118
    - -5.5589773757095635
    - 0.6320016364118455
    - 0.4334994629959889
    - -2.5762187053812005
    - -0.8406298611559685
    - 1.2045080790106495
    - -0.4638947648369116
    - -0.5807988968245132
    - 1.6407777835293342
    - 0.4824766839158289
    - -2.2488368999169226
    - -0.8750323804466928
    - 1.4851702967775655
    - 0.4283600076069612
    - -0.5430368537959414
    - 0.4257932428245401
    - -0.1790450393755112
    - -1.1245285379883048
    - 0.7112221908293793
    - 1.0515504572568726
    - -2.2728193712482305
    - -2.309303030878757
    - 1.6311067474300418
    - 0.5673506956155984
    - -4.3075025490911685
    - -2.8722538378323303
    - 1.4334020253939004
    - -1.9368070049233999
    - -7.332345125916954
    - -4.1452408722784915
    - 1.088343998688778
    - -0.6777059099722558
    - -2.6745600285680218
    - 0.8752557955435011
    - 2.2631058359859555
    - -1.609897854050316
    - -2.8887214607577523
    - -0.3628993357064232
    - -0.21463163464028012
    - -1.4426983921775267
    - -0.21565051894549178
    - 0.4380952969517715
    - -0.9661183881409541
    - -0.5413929373814993
    - 0.46199431667341057
    - -1.7333782372187843
    - -2.8720627530293714
    - 0.49930336345280496
    - 2.2046053468745677
    - -0.08316320975536505
    - 0.1788502175607768
    - 2.601238347168026
    - 1.0368932035713734
    - -0.2603683608276293
    - 4.161816364961641
    - 5.587209281373178
    - -1.2323984172179834
    - -3.815718964322108
    - 3.735500736545304
    - 7.749518956874676
    - 2.0424933036802853
    - -1.616216029592354
    - 1.1356662790945748
    - 1.64049365248482
    - -0.9730203162570646
    - -0.5778718352645233
    - 0.8456766793841429
    - -0.1645781389175474
    - 0.14524368561624956
    - 2.2108034367254694
    - 1.3098131991963833
    - -0.31894922321443414
    - 1.860895474806559
    - 3.3819053533567245
    - 0.5655497331516726
    - -1.2393200124541477
    - -0.08133561053382199
    - -0.25044639429684606
    - -0.07759150485720762
    - 3.2574564817605762
    - 3.7298432879581678
    - -0.22143729530547052
    - 0.7637119617889174
    - 6.062289530833048
    - 3.354443704461313
    - -4.544936457265604
    - -2.812609601069509
    - 5.23053105177069
    - 4.693059515859282
    - -1.7469051802562334
    - -2.4606456598899293
    - 0.08281237302314959
    - -0.20589380912438987
    - 0.3667854907511235
    - 2.3954144311760603
    - 0.046489114216068855
    - -3.9821267302494086
    - -2.771246305981845
    - 0.21533523469547816
    - -0.21925625539571572
    - -0.5768743300492254
    - 0.6742306332513156
    - -0.3151192930573563
    - -1.7115494543707974
    - -0.005271082039410545
    - 0.7295479868288733
    - -1.0805119101236464
    - -0.0015716161118240035
    - 2.0706331033594827
    - -1.2275235060146572
    - -3.882414985839743
    - 1.1659178068293603
    - 4.474452412169091
    - -0.9925947450004837
    - -3.7918905730606585
    - 1.9931625043927965
    - 4.635016250744238
    - 0.5535392578801179
    - 0.03018878930658287
    - 2.666089505288807
    - -0.30323615215533106
    - -4.474414429105964
    - -1.8662229466933484
    - 1.7554170819554222
    - 0.45026902872510255
    - -0.7420124692227792
    - 0.2788095536973258
    - -0.445241284655691
    - -1.1082558535128801
    - 1.0267529815257432
    - 1.621518427618441
    - -0.2825949624044676
    - 0.2578852992403433
    - 1.4935123703299436
    - -0.638408304005758
    - -1.131225478934891
    - 2.4867931814739035
    - 2.523062582642122
    - -1.6297811150805275
    - -1.5158858667195727
    - 1.0028704853782695
    - -0.4752793025630186
    - 0.8190102008308646
    - 8.949912837581653
    - 10.51651012673017
    - 0.3437364711987396
    - -5.7507701100064885
    - -1.1750272246137503
    - 1.5431217385421798
    - -1.312933213109298
    - -0.9564682465841786
    - 1.8635702590822587
    - 0.8766577797413974
    - -0.6510092148493529
    - 0.4089101070319355
    - 0.014873043201396608
    - -1.0278453331395636
    - 1.3558454914454139
    - 3.0848256108837218
    - 0.8271409369850757
    - 0.12404396267347233
    - 2.1052797840428257
    - 1.1221851600673014
    - -1.0660617990309242
    - 0.11256680552847859
    - 0.5541723020712828
    - -1.4714292058440324
    - -0.10681317704599491
    - 2.370507705444475
    - -0.29850545880842033
    - -0.1057404266918156
    - 9.796283105993616
    - 15.296536667053765
    - 6.382089312893941
    - -2.3033021012662735
    - 0.02275611864712966
    - 2.900473883831176
    - 0.5249302376650101
    - 0.3881804342716001
    - 2.2219046766506163
    - 0.1290630148305446
    - -1.6671119451302934
    - 0.6546951930039557
    - 1.1837574877089727
    - -0.9676217552289113
    - 0.13756283241116105
    - 2.3262150491426485
    - 0.6857109813310093
    - -0.8623499349202222
    - 0.11694787021551784
    - -0.6267195000667237
    - -1.9284226934542605
    - -0.019922849434084726
    - 1.073133455362627
    - -0.17189116416768
    - 1.8959696009768496
    - 3.8924270172205375
    - -2.19050860264265
    - -8.375089716675667
    - -4.35959678214763
    - 0.4315937496730738
    - -2.7975844840194495
    - -3.8202117969324387
    - 1.982476256054115
    - 3.096588190301854
    - -1.4153095003378653
    - -0.4983837838036027
    - 3.457064350046077
    - 1.487790686272251
    - -1.470858106967611
    - 0.4612860946970709
    - 1.3819168421789394
    - -0.6750578564069036
    - -0.04915004381820579
    - 1.64664262017754
    - 0.06514176606016542
    - -1.1081916109320598
    - 0.015183758994320114
    - -0.22640198474962553
    - 0.09137529612559106
    - 3.3306896033542532
    - 3.309883797447104
    - -1.0449890941663122
    - -1.2562540867347014
    - 1.9970440859074896
    - 0.9175930747709723
    - -1.0210806226955873
    - 0.6206246514037664
    - -1.6359570272477586
    - -7.426330173546389
    - -3.8995657760290783
    - 5.870680047648234
    - 5.808594505190828
    - -0.7597764572494841
    - 0.20886468733969366
    - 4.1339105122887805
    - 1.464090438891819
    - -1.2753073482100268
    - 1.1605527318654694
    - 1.8231633049561466
    - -0.6141323853602734
    - -0.6444800906869511
    - 0.0751434362117702
    - -0.6246792466422875
    - 1.1071450685224553
    - 3.3117911434294562
    - 0.5395277411754918
    - -2.59855495694995
    positive_zeros:
    - '0.210783069126847328465929728961'
    - '1.68252729233717777248050679015'
    - '2.44897917329538973798453414572'
    - '2.76932256670923660680206045742'
    - '4.16663969640704063275124727821'
    - '5.000608298655725062350748009934'
    - '6.17949152449330623285386833861'
    - '6.59830532511951922033722509070'
    - '7.42832289275866695863249970520'
    - '7.817770313963288473364287285701'
    - '9.00145924390994905407709448003'
    - '9.61680667088319826518844328887'
    - '10.078215946926133071649381852590'
    - '10.86377780503115009641608515706'
    - '11.48789948454265546245471093838'
    - '12.21742150194222424904444568890'
    - '13.04951285618537606001114490117'
    - '14.0851178466221107748900643818'
    - '14.66867909762288276197395025898'
    - '15.35509388655285535449057542034'
    - '15.87226421242438205855862447610'
    - '16.92694220519074545169045081564'
    - '17.43213359880689866855503366206'
    - '17.92896871187485700189894570667'
    - '18.67650550237280653115542242922'
    - '19.215441621520010467906020349547'
    - '19.86718893067127990233246327825'
    - '20.62865663726089883327478515872'
    - '21.35305687126816742602127356524'
    - '21.87070519806517594012087916779'
    - '22.89856393003325193880860061799'
    - '23.26826017778345421749980961174'
    - '24.377542210259336325826361423791'
    - '24.87016586196593931402509036069'
    - '25.53965623698319698074587727078'
    - '26.17146622377539047239964498753'
    - '26.619182969265592245070266283835'
    - '27.23630324805114654132042415464'
    - '27.99456313510789963811371588404'
    - '28.678660277025569559463508206489'
    - '29.1979025876436311098535146768'
    - '29.92896604194210128195020114974'
    - '30.30407155582872674368408040462'
    - '31.17359136502056072559623927950'
    - '31.847522339654471124187366775670'
    - '32.82404588110735292256958996326'
    - '33.64481758064709552376591438687'
    - '33.78843220076259217653413910672'
    - '34.393727294052865448553393590967'
    - '35.11214743455625169506120716603'
    - '35.927485100674338022499907985'
    - '36.35595874187269912899553391586'
    - '36.94551797817082520307482801329'
    - '37.62857109710278590346724400340'
    - '38.30009194123951023116862994205'
    - '38.65770590636965788894842804066'
    - '39.19893694558435500771623119578'
    - '40.18248224316354219673675145248'
    - '40.97197505823329636165105586831'
    - '41.599677531507156048058289676778'
    - '42.10657566029945358297026412345'
    - '42.76688566446427445245843227789'
    - '43.37679793307365352578425637799'
    - '44.197132899189221476404095002679'
    - '44.50223324634295957659224272519'
    - '45.29646827702533340082977814173'
    - '45.69310056491926712114355255849'
    - '46.51141036867179336798312254700'
    - '46.80704189418477695337728115946'
    - '47.33260585954538206946683198629'
    - '48.46065983511654370103585857459'
    - '48.80751147192854969304660661835'
    - '49.34382591560261252103017252403'
    - '50.09895068774443663024331947897'
    - '50.996490446859162598714091808599'
    - '51.53321174265177472575002802315'
    - '51.98266014702351557729189265290'
    - '52.853536218468266090182119547617'
    - '53.34253250108675549888866941554'
    - '53.80037313667724157818069941586'
    - '54.248738236337751352783609665385'
    - '55.01280220709677640093670126270'
    - '55.58013081184289831769439684005'
    - '56.308434775446918427022626834686'
    - '56.74983591479090673267989455374'
    - '57.30824841856795127912405337424'
    - '57.973401111212899589756073709079'
    - '58.42628433749897443320952891937'
    - '59.52701355208863111439005094117'
    - '60.188826544038699056261746758623'
    - '60.54389550945502020182577189016'
    - '61.28532046581885865501064979941'
    - '61.91311377997917802153847736146'
    - '62.11455123174827867280474624761'
    - '63.00292686752110702111226315679'
    - '63.44326882762661409732861308139'
    - '64.31500721523336258224848343183'
    - '64.653622270449259201508812263608'
    - '65.1844474428277855093728541074'
    - '65.73648226981320440569207778510'
    - '66.377761255993390968594801500247'
    - '66.85360626040544911332821637566'
    - '67.89868496899861794587621369361'
    - '68.445334057905773196716705667381'
    - '68.95283802956318758459304880325'
    - '69.75616016805982582221875311865'
    - '70.184912366942214835350160498601'
    - '70.6202746661243001797761200736'
    - '71.528957475315982956737251502674'
    - '71.88092422240700868538504945340'
    - '72.65115917896752206544413924758'
    - '73.10019069273728287421464986507'
    - '73.47574160271562861490317234877'
    - '73.99651755046687761697991649027'
    - '74.845142003802928998301967844442'
    - '75.57352999673853265265775808921'
    - '75.7249626055663441363011736856'
    - '76.5675470596764835113159999527'
    - '77.43865542521202799450565331743'
    - '77.769086737822534957758744855440'
    - '78.68507617694845183094359677566'
    - '78.89370247851418929083032629764'
    - '79.95775622630647163395647644832'
    - '80.34023506345897947380828631623'
    - '80.763073061680648186894220538317'
    - '81.203261087149252305112753422955'
    - '81.83625584318187790585544185150'
    - '82.58969434169458720013021003799'
    - '83.093841446651801976756386388122'
    - '83.58838522482184189127837874029'
    - '84.139359327185474793634867908973'
    - '84.922300470944877873195193316052'
    - '85.200418700300870875597003704215'
    - '85.92293047932483242525611168935'
    - '86.779358359078916173250301086088'
    - '87.48831177354448869272867581451'
    - '88.00758037593092075655737006527'
    - '88.54890512762845687751104200440'
    - '88.893600154688392006909965491829'
    - '89.55683558038819761086549266669'
    - '90.12126314360850845257194652923'
    - '90.8034623548954798968347535276'
    - '91.26136650035863539896546013632'
    - '91.97040811247786624939573186481'
    - '92.237393258322479993445385000857'
    - '92.9513608742966458395063461577'
    - '93.600840457050338081510767942679'
    - '93.78700408445730338970469354768'
    - '94.72509988474997102285479610828'
    - '95.78382422024113331961402183768'
    - '95.9909445796389508793564755865'
    - '96.46433697045289656643285838127'
    - '97.32329434710022720106666439197'
    - '97.73166954121103178283624073107'
    - '98.1780624151373620021140626895'
    - '99.07720130036520565203558697367'
    - '99.41844137430002734723707674470'
    - '100.0317763495586347715867758660'
    - '100.48933768492235867016771853018'
    - '100.95653869796481249006683857258'
    - '101.585192945444880520525594854442'
    - '102.207944022634298501175196439265'
    - '102.74773423676444109700172536870'
    - '103.30474876115335777134454740251'
    - '104.14544668897700820351114345984'
    - '104.62894524189899141467868820181'
    - '105.196471444815331670996960357900'
    - '105.70183651915611584638276510958'
    - '106.84692849852489428603305032759'
    - '106.99450319793251335366235516391'
    - '107.23877452163414999014490675357'
    - '108.30477280346883772981791624458'
    - '108.480256873394653252808259433305'
    - '109.128581905078965513800764489995'
    - '109.60569092589763251480328589022'
    - '110.254314700330819265862053621598'
    - '110.91051281838783388264522155967'
    - '111.33682492905260677260770136518'
    - '112.00059776058697287819241971010'
    - '112.45025467990682027899651505946'
    - '112.91511913160522617028839026688'
    - '113.97358919427888178974168640867'
    - '114.47512790761945658266306108346'
    - '115.213456699990106153886838449341'
    - '115.52085154042796117083379707888'
    - '115.924410146866077798043105764200'
    - '116.78921833990467556970682847976'
    - '117.15736634894036830026165523597'
    - '117.64359987655141326231716897092'
    - '118.21817257647729643094265116210'
    - '118.9499090603526059177733647420'
    - '119.541910315930772874274241214195'
    - '119.83627258239619406177786798205'
    - '120.408149719460805030806790671278'
    - '120.696862439841293418695606300989'
    - '121.90743033203733133176674855512'
    - '122.117046001059959451500156650619'
    - '123.0807992652995071273528011504'
    - '123.475266100461733203659067970367'
    - '124.14340539085604845016644671131'
    - '124.61932639463298547473950401492'
    - '125.081115324798896928641173926323'
    - '125.67128996904193171634395453762'
    - '126.33760031844921720250022812659'
    - '126.947524415836321519665491691660'
    - '127.36794460364263864393305374142'
    - '127.77635101751923291796959798160'
    - '128.34327430366947527253563816348'
    - '128.864271527119905576942222995886'
    - '129.55187227471792368121647398911'
    - '130.03607305299462598365102049013'
    - '130.79636690590188609204392253073'
    - '131.151165188457178199803783463926'
    - '132.08541849547377358092852597524'
    - '132.444479592695585005620671382029'
    - '133.06239856552986210054043819769'
    - '133.633812796479182021699282244093'
    - '134.44229180615850303712071342562'
    - '134.636406768852949241268473294831'
    - '135.35157612084328157229578663400'
    - '135.73522024774893919059044158286'
    - '136.35264596005593185812821093972'
    - '136.67540985240816583358800577512'
    - '137.46101180158735335165161132508'
    - '138.11276395525577529868048925637'
    - '138.41398117972726623259721778765'
    - '139.17756970318594444074839271249'
    - '139.41120824461302778246110541477'
    - '140.262686688490256892274400011469'
    - '140.806993814586565620286765254835'
    - '141.66519524681239015702523567727'
    - '142.082729956143008825823180899145'
    - '142.68497802343478880898176853203'
    - '143.21433828351513798243004941454'
    - '143.70974353876161606333315438181'
    - '144.037589891810827420248000336064'
    - '144.870255129961250939602352283954'
    - '145.10084436070404685328024358663'
    - '145.991127200885566680775973588173'
    - '146.59032163146566203932256688175'
    - '146.78567779533658187944598429964'
    - '147.1988657853473252769013165788'
    - '148.10354070128657759226292949215'
    - '148.38331553195673063279785594972'
    - '149.18404840067488459799570817330'
    - '149.791480071393732823862548318099'
    - '150.52852378938124491552588094399'
    - '151.2311357515697343316405012129'
    - '151.49300743704144892472189709509'
    - '151.81515256282653745852196860274'
    - '152.50312207694719106527857707070'
    - '153.39663639763292235788430945404'
    - '153.69886075967644262060000879705'
    - '154.198609144124043047342857371940'
    - '154.64002484762722140524254823717'
    - '155.31323024536991259328204536567'
    - '155.75522551897814898420283499810'
    - '156.250167720251848442452383950183'
    - '156.79723648167935727711181515459'
    - '157.44626351709058955045719601730'
    - '158.08022914353086296948721529600'
    - '158.65954829651843305143702249357'
    - '159.42574162776834189477558094468'
    - '159.68393095575766840581691390146'
    - '160.295194723510852111131449521088'
    - '161.05874279724232171026327859561'
    - '161.62290955081426255536832657896'
    - '162.092310364918168370118453378019'
    - '162.40636746405153780350463840624'
    - '162.99743961251736402938754265321'
    - '163.693268831777177913405937302772'
    - '164.01924253309039566286003723671'
    - '164.615682005559335952106749036311'
    - '165.11291151888468915262959248015'
    - '165.80924944087031554293925887296'
    - '166.401217012733624116349757287426'
    - '166.80974757485150124873702031898'
    - '167.13605513879253438201748299425'
    - '168.13462463598357014213270192117'
    - '168.816370898470255042117664679352'
    - '169.24351559472855774084527609411'
    - '169.780155599456796283496219564454'
    - '170.4301788954307181591995372008'
    - '170.836681714934003068308152985417'
    - '171.252840377312791367061845751170'
    - '171.742543197460017078208664283288'
    - '172.63262008008177710461485561882'
    - '172.78203422684365523149483331731'
    - '173.56194558453505339043444169203'
    - '174.044591282771731625731447675420'
    - '174.464904344721921688214631922612'
    - '175.00972714818179512679526485120'
    - '175.60002539350949026282209574091'
    - '175.943186619777717985186698598417'
    - '177.05885536269371351968384148846'
    - '177.49859332210582837419213336707'
    - '178.20962902990651533682727043283'
    - '178.36626743032308347994068131737'
    - '179.074532437264399188637359587085'
    - '179.61460963375283378111520409570'
    - '180.16035848376728247992188887375'
    - '180.60983086676484213307970386555'
    - '181.33308070698303981635762987237'
    - '181.8341692336495922165108824912'
    - '182.067641860799615290632451845373'
    - '182.814920635700594846191894772195'
    - '183.36658389741619274300885860115'
    - '183.54228918011841715041446962916'
    - '184.29504982871035585110146751354'
    - '185.234815659059437239314385287678'
    - '185.42026331738522192132528360613'
    - '186.14938815624393605100582779241'
    - '186.76797878925913308177374105632'
    - '187.22180550541904408649433589634'
    - '187.923091348171021205087825710753'
    - '188.38713193981125159387379031424'
    - '188.95350329501127238904180518716'
    - '189.38175285171551176795576919139'
    - '190.008595812778623013025681599725'
    - '190.61962319890790955497436772879'
    - '190.856287686263317462259040360517'
    - '191.23639524398070695154469588426'
    - '192.10803338232373621706933184364'
    - '192.611940564728414285588587085740'
    - '193.21938965129519645925467358927'
    - '193.64322974062710869744360601529'
    - '193.954636847793410581167876603056'
    - '194.80508467191481752061842770571'
    - '195.575291305495514461772410788803'
    - '195.92374055319569417484155846767'
    - '196.666570187036930310482177521038'
    - '197.07188517432315470501658348965'
    - '197.72522772976499911560784540966'
    - '198.3053218930956021369368694938'
    - '198.483861765874420143727943257642'
    - '198.93710976528164450131327210579'
    - '199.7250272021209724322562455317'
    prelabel: 1-3381-3381.527-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.701297990361368
    root_angle: -0.37274938456494
    root_number: 0.389206118246263346880481113151-0.921150692080115452729235397553*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(462)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.599838777146372683233536711004+0.0991559253306599354968484079955*I
    z1:
      __RealLiteral__: 0
      data: '0.210783069127'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.68252729234'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.4489791733'
      prec: 40
- - algebraic: true
    analytic_conductor: 15.701297990361368
    bad_primes:
    - 3
    - 7
    - 23
    central_character: '3381.527'
    conductor: 3381
    conductor_radical: 483
    degree: 1
    id: 2114768
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/3381/527
    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: 1-3381-3381.527-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: 1-3381-3381.527-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.701297990361368
    root_angle: -0.18637469228247
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.210783069127'
      prec: 47
- - Lhash: dirichlet_L_3381.527
    Lhash_array:
    - dirichlet_L_3381.527
    id: 3620887
    label: 1-3381-3381.527-r0-0-0
    type: DIR
    url: Character/Dirichlet/3381/527
label_cols:
- label
- label
- label
labels:
- 1-3381-3381.527-r0-0-0
- 1-3381-3381.527-r0-0-0
- 1-3381-3381.527-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T20:21:43.070004'