data:
- - Lhash: 275042107653255289695163559301,582199424273740973908041600090,743372400697726059837589236133,913527848731621607074687491996,1215153559294745435329644349649
    a10: 0
    a2: 0
    a3: 0
    a4: 0
    a5: -5
    a6: 0
    a7: -4
    a8: 0
    a9: 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 1263389371.5139055
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
    - - 5
      - - 1
        - 5
        - 10
        - 10
        - 5
        - 1
    - - 23
      - - 1
        - -5
        - 10
        - -10
        - 5
        - -1
    bad_primes:
    - 2
    - 3
    - 5
    - 23
    central_character: '8280.1'
    coefficient_field: 1.1.1.1
    conductor: 38918104863436800000
    conductor_radical: 690
    degree: 10
    euler_factors:
    - - 1
    - - 1
    - - 1
      - 5
      - 10
      - 10
      - 5
      - 1
    - - 1
      - 4
      - 16
      - 58
      - 195
      - 548
      - 1365
      - 2842
      - 5488
      - 9604
      - 16807
    - - 1
      - -4
      - 9
      - -16
      - 100
      - -696
      - 1100
      - -1936
      - 11979
      - -58564
      - 161051
    - - 1
      - -4
      - -1
      - 40
      - 84
      - -1192
      - 1092
      - 6760
      - -2197
      - -114244
      - 371293
    - - 1
      - 10
      - 60
      - 96
      - -533
      - -4932
      - -9061
      - 27744
      - 294780
      - 835210
      - 1419857
    - - 1
      - 4
      - 41
      - 184
      - 788
      - 4616
      - 14972
      - 66424
      - 281219
      - 521284
      - 2476099
    - - 1
      - -5
      - 10
      - -10
      - 5
      - -1
    - - 1
      - 10
      - 120
      - 688
      - 4759
      - 21660
      - 138011
      - 578608
      - 2926680
      - 7072810
      - 20511149
    - - 1
      - -6
      - 76
      - -176
      - 2391
      - -3476
      - 74121
      - -169136
      - 2264116
      - -5541126
      - 28629151
    - - 1
      - -6
      - 174
      - -812
      - 12513
      - -43772
      - 462981
      - -1111628
      - 8813622
      - -11244966
      - 69343957
    - - 1
      - 12
      - 152
      - 958
      - 7095
      - 36300
      - 290895
      - 1610398
      - 10475992
      - 33909132
      - 115856201
    - - 1
      - 2
      - 131
      - 304
      - 8998
      - 18876
      - 386914
      - 562096
      - 10415417
      - 6837602
      - 147008443
    - - 1
      - 4
      - 181
      - 632
      - 14732
      - 42248
      - 692404
      - 1396088
      - 18791963
      - 19518724
      - 229345007
    - - 1
      - 0
      - 124
      - -202
      - 9035
      - -19068
      - 478855
      - -567418
      - 18460748
      - 0
      - 418195493
    - - 1
      - 6
      - 26
      - -120
      - 1229
      - -2684
      - 72511
      - -417720
      - 5339854
      - 72704166
      - 714924299
    - - 1
      - -16
      - 179
      - -536
      - -3328
      - 79536
      - -203008
      - -1994456
      - 40629599
      - -221533456
      - 844596301
    - - 1
      - 4
      - 212
      - 910
      - 24327
      - 79852
      - 1629909
      - 4084990
      - 63761756
      - 80604484
      - 1350125107
    - - 1
      - 8
      - 290
      - 1790
      - 37565
      - 179988
      - 2667115
      - 9023390
      - 103794190
      - 203293448
      - 1804229351
    - - 1
      - -14
      - 323
      - -3772
      - 44180
      - -402156
      - 3225140
      - -20100988
      - 125652491
      - -397575374
      - 2073071593
    - - 1
      - -18
      - 307
      - -3704
      - 40786
      - -393324
      - 3222094
      - -23116664
      - 151362973
      - -701101458
      - 3077056399
    - - 1
      - -20
      - 510
      - -6226
      - 88161
      - -748900
      - 7317363
      - -42890914
      - 291611370
      - -949166420
      - 3939040643
    - - 1
      - 18
      - 325
      - 4856
      - 55106
      - 582540
      - 4904434
      - 38464376
      - 229114925
      - 1129360338
      - 5584059449
    - - 1
      - -4
      - 121
      - -192
      - 1702
      - 24072
      - 165094
      - -1806528
      - 110433433
      - -354117124
      - 8587340257
    - - 1
      - 10
      - 288
      - 780
      - 24151
      - -58668
      - 2439251
      - 7956780
      - 296726688
      - 1040604010
      - 10510100501
    - - 1
      - -2
      - 383
      - -512
      - 68918
      - -70972
      - 7098554
      - -5431808
      - 418514441
      - -225101762
      - 11592740743
    - - 1
      - 20
      - 438
      - 6106
      - 83073
      - 859540
      - 8888811
      - 69907594
      - 536568834
      - 2621592020
      - 14025517307
    - - 1
      - -36
      - 807
      - -11528
      - 136668
      - -1399208
      - 14896812
      - -136964168
      - 1045088403
      - -5081693796
      - 15386239549
    - - 1
      - 2
      - 116
      - 1324
      - 7691
      - 332516
      - 869083
      - 16906156
      - 167376052
      - 326094722
      - 18424351793
    euler_factors_factorization:
    - - 1
    - - 1
    - - - - 1
          - 1
        - 5
    - - - - 1
          - 4
          - 16
          - 58
          - 195
          - 548
          - 1365
          - 2842
          - 5488
          - 9604
          - 16807
        - 1
    - - - - 1
          - -4
          - 9
          - -16
          - 100
          - -696
          - 1100
          - -1936
          - 11979
          - -58564
          - 161051
        - 1
    - - - - 1
          - -4
          - -1
          - 40
          - 84
          - -1192
          - 1092
          - 6760
          - -2197
          - -114244
          - 371293
        - 1
    - - - - 1
          - 10
          - 60
          - 96
          - -533
          - -4932
          - -9061
          - 27744
          - 294780
          - 835210
          - 1419857
        - 1
    - - - - 1
          - 4
          - 41
          - 184
          - 788
          - 4616
          - 14972
          - 66424
          - 281219
          - 521284
          - 2476099
        - 1
    - - - - 1
          - -1
        - 5
    - - - - 1
          - 10
          - 120
          - 688
          - 4759
          - 21660
          - 138011
          - 578608
          - 2926680
          - 7072810
          - 20511149
        - 1
    - - - - 1
          - -6
          - 76
          - -176
          - 2391
          - -3476
          - 74121
          - -169136
          - 2264116
          - -5541126
          - 28629151
        - 1
    - - - - 1
          - -6
          - 174
          - -812
          - 12513
          - -43772
          - 462981
          - -1111628
          - 8813622
          - -11244966
          - 69343957
        - 1
    - - - - 1
          - 12
          - 152
          - 958
          - 7095
          - 36300
          - 290895
          - 1610398
          - 10475992
          - 33909132
          - 115856201
        - 1
    - - - - 1
          - 2
          - 131
          - 304
          - 8998
          - 18876
          - 386914
          - 562096
          - 10415417
          - 6837602
          - 147008443
        - 1
    - - - - 1
          - 4
          - 181
          - 632
          - 14732
          - 42248
          - 692404
          - 1396088
          - 18791963
          - 19518724
          - 229345007
        - 1
    - - - - 1
          - 0
          - 124
          - -202
          - 9035
          - -19068
          - 478855
          - -567418
          - 18460748
          - 0
          - 418195493
        - 1
    - - - - 1
          - 6
          - 26
          - -120
          - 1229
          - -2684
          - 72511
          - -417720
          - 5339854
          - 72704166
          - 714924299
        - 1
    - - - - 1
          - -16
          - 179
          - -536
          - -3328
          - 79536
          - -203008
          - -1994456
          - 40629599
          - -221533456
          - 844596301
        - 1
    - - - - 1
          - 4
          - 212
          - 910
          - 24327
          - 79852
          - 1629909
          - 4084990
          - 63761756
          - 80604484
          - 1350125107
        - 1
    - - - - 1
          - 8
          - 290
          - 1790
          - 37565
          - 179988
          - 2667115
          - 9023390
          - 103794190
          - 203293448
          - 1804229351
        - 1
    - - - - 1
          - -14
          - 323
          - -3772
          - 44180
          - -402156
          - 3225140
          - -20100988
          - 125652491
          - -397575374
          - 2073071593
        - 1
    - - - - 1
          - -18
          - 307
          - -3704
          - 40786
          - -393324
          - 3222094
          - -23116664
          - 151362973
          - -701101458
          - 3077056399
        - 1
    - - - - 1
          - -20
          - 510
          - -6226
          - 88161
          - -748900
          - 7317363
          - -42890914
          - 291611370
          - -949166420
          - 3939040643
        - 1
    - - - - 1
          - 18
          - 325
          - 4856
          - 55106
          - 582540
          - 4904434
          - 38464376
          - 229114925
          - 1129360338
          - 5584059449
        - 1
    - - - - 1
          - -4
          - 121
          - -192
          - 1702
          - 24072
          - 165094
          - -1806528
          - 110433433
          - -354117124
          - 8587340257
        - 1
    - - - - 1
          - 10
          - 288
          - 780
          - 24151
          - -58668
          - 2439251
          - 7956780
          - 296726688
          - 1040604010
          - 10510100501
        - 1
    - - - - 1
          - -2
          - 383
          - -512
          - 68918
          - -70972
          - 7098554
          - -5431808
          - 418514441
          - -225101762
          - 11592740743
        - 1
    - - - - 1
          - 20
          - 438
          - 6106
          - 83073
          - 859540
          - 8888811
          - 69907594
          - 536568834
          - 2621592020
          - 14025517307
        - 1
    - - - - 1
          - -36
          - 807
          - -11528
          - 136668
          - -1399208
          - 14896812
          - -136964168
          - 1045088403
          - -5081693796
          - 15386239549
        - 1
    - - - - 1
          - 2
          - 116
          - 1324
          - 7691
          - 332516
          - 869083
          - 16906156
          - 167376052
          - 326094722
          - 18424351793
        - 1
    gamma_factors:
    - []
    - - 0
      - 0
      - 0
      - 0
      - 0
    group: GL2
    id: 22270548
    index: 0
    label: 10-8280e5-1.1-c1e5-0-0
    leading_term: '1.77826293536079325268954734048303455696447602738500958624666351290091989860217803836681464'
    load_key: CMFs-workshop
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    - 1
    - 1
    - 1
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/8280/2/a/br
    plot_delta:
      __RealLiteral__: 0
      data: '0.01015625'
      prec: 34
    plot_values:
    - 1.7782629353607933
    - 1.761759508396968
    - 1.7420969593942404
    - 1.7161172144346817
    - 1.6807929374974315
    - 1.6333405138995565
    - 1.5728288160730415
    - 1.5007054869684402
    - 1.4186687930604158
    - 1.3284494388567638
    - 1.2317043431964787
    - 1.1295260465758195
    - 1.0227766536453688
    - 0.9123861422238478
    - 0.7993517998561346
    - 0.6847779196869311
    - 0.5699212775782451
    - 0.4560467699245821
    - 0.34438612795197837
    - 0.2361209760424523
    - 0.13235546022874078
    - 0.034110531329942774
    - -0.05767299265209381
    - -0.1421457655166849
    - -0.2185597570693085
    - -0.28627459989937926
    - -0.34477518939498414
    - -0.39368189666159487
    - -0.4327557788164868
    - -0.4619013835706776
    - -0.48116906713349966
    - -0.49075639669340837
    - -0.4910055986440504
    - -0.48239843572529967
    - -0.46554992127727657
    - -0.44120029392541465
    - -0.4102033791469977
    - -0.3735128198004457
    - -0.3321666542026129
    - -0.2872715698219298
    - -0.23998223370518035
    - -0.19147996373666443
    - -0.1429509076032893
    - -0.09556487177816199
    - -0.05045191802489948
    - -0.00867672768064827
    - 0.02878462634083199
    - 0.06106672954378102
    - 0.08743498623054644
    - 0.1073073062997583
    - 0.12027236273832319
    - 0.12610433354300643
    - 0.12477482560678065
    - 0.11646220194338092
    - 0.10155692857574965
    - 0.08066178421558753
    - 0.054587776964244106
    - 0.02434682688346552
    - -0.008861621948258893
    - -0.043670149367007936
    - -0.07856702141923015
    - -0.11192395017994526
    - -0.14202790693208023
    - -0.16712018832967124
    - -0.18543807955912806
    - -0.19525904009259346
    - -0.19494758171347734
    - -0.1830060381084837
    - -0.15812552994868256
    - -0.11923594329991603
    - -0.06555527467447578
    - 0.00335964283903582
    - 0.08756748058173779
    - 0.18670335243193514
    - 0.29994410327481974
    - 0.4259773071155842
    - 0.5629744482464328
    - 0.7085823389999011
    - 0.8599207027770941
    - 1.0135883513286168
    - 1.1656745740189292
    - 1.3117867676727322
    - 1.4470977712335413
    - 1.5663970148426913
    - 1.6641516195375365
    - 1.7345754068256376
    - 1.7717175437213721
    - 1.7695621136901447
    - 1.722129152651245
    - 1.6235823438447976
    - 1.4683436691209655
    - 1.2512139836007645
    - 0.9674943467466831
    - 0.6131061276794882
    - 0.18470871312773282
    - -0.3201889490444441
    - -0.9031261563184944
    - -1.5646044968698039
    - -2.3039999198887813
    - -3.1194973082213884
    - -4.0080382437411615
    - -4.965293862516072
    - -5.9856795820282525
    - -7.062358368355769
    - -8.18727396344685
    - -9.35119088683871
    - -10.543783771615116
    - -11.75379999139566
    - -12.969188900725893
    - -14.177207804552312
    - -15.36455914035967
    - -16.51759141942694
    - -17.622627205696105
    - -18.666152406534245
    - -19.634922252710254
    - -20.51615654676898
    - -21.297797061966968
    - -21.96896160993252
    - -22.520010553489918
    - -22.942599906796026
    - -23.229842672377497
    - -23.376554691607556
    - -23.37967771431982
    - -23.238078385756854
    - -22.952507608417193
    - -22.525633557903415
    - -21.962223438780367
    - -21.2692937412683
    - -20.455686850950617
    - -19.531891502546678
    - -18.509927029548038
    - -17.40338437378779
    - -16.227228595692058
    - -14.997293746521297
    - -13.729983767425853
    - -12.442078412385461
    - -11.150572990390017
    - -9.872329174814464
    - -8.623618612806244
    - -7.4198214064428605
    - -6.275250632728074
    - -5.202895108726417
    - -4.214180888958552
    - -3.318682237699762
    - -2.523969259000291
    - -1.8355367323527545
    - -1.2566924912909885
    - -0.7885509590079802
    - -0.43000659854407397
    - -0.17781085511514155
    - -0.026688942787929767
    - 0.030501475521817343
    - 0.0025603216264885667
    - -0.10028049307983934
    - -0.26662696094105587
    - -0.4842281019870779
    - -0.7403012471254055
    - -1.0218452538354692
    - -1.3159737825555655
    - -1.6102444658650426
    - -1.8929823866853033
    - -2.1535633665540694
    - -2.3826495895163995
    - -2.5724262505779785
    - -2.716790157528696
    - -2.8114727976911804
    - -2.854102499843341
    - -2.8442065162568477
    - -2.783196080679002
    - -2.6742650152280407
    - -2.5222247147997408
    - -2.333290593324229
    - -2.11482863067104
    - -1.875075327981502
    - -1.622796723950667
    - -1.3669321237310623
    - -1.1162271315966847
    - -0.8788694942518439
    - -0.6621250167542532
    - -0.47198808240602114
    - -0.31286735753533507
    - -0.18731221146391516
    - -0.0957884934506776
    - -0.036509838903596686
    - -0.00533576932471095
    - 0.004259083146136815
    - 0.0011412812075678519
    - -0.003601355280008959
    - 0.003145080200501528
    - 0.03625192329218335
    - 0.11200974573346671
    - 0.24773104142127372
    - 0.4613014227554403
    - 0.7706844879291519
    - 1.1933925099759968
    - 1.7459473948383275
    - 2.44336267546325
    - 3.298604924520253
    - 4.322075132546211
    - 5.521130101722373
    - 6.899740142001325
    - 8.458184556986522
    - 10.192745025267786
    - 12.095500454968608
    - 14.154266103800111
    - 16.35284501614213
    - 18.671055067557464
    - 21.084909211081147
    - 23.56689096378315
    - 26.086592077251535
    - 28.61146570259244
    - 31.107091726727543
    - 33.53783479509604
    - 35.86750543851629
    - 38.060643927933334
    - 40.083082689405906
    - 41.90232003830531
    - 43.48830932331291
    - 44.81428811980296
    - 45.85799921156986
    - 46.6014899409879
    - 47.031375060735215
    - 47.139324449654715
    - 46.92281331311021
    - 46.38522232997523
    - 45.53503877764108
    - 44.38570760093177
    - 42.95567595365965
    - 41.268633773730464
    - 39.3523022139867
    - 37.237467576995016
    - 34.957404253069754
    - 32.547689241159475
    - 30.04559129890781
    - 27.488501202428402
    - 24.913107419267007
    - 22.354772871690567
    - 19.847358678252824
    - 17.42219856641193
    - 15.107151025942507
    - 12.926183351644394
    - 10.899163846986676
    - 9.041853433942235
    - 7.36536114814955
    - 5.876077278735317
    - 4.575843378131009
    - 3.4623015696019515
    - 2.529212704028169
    - 1.7667288717206053
    - 1.1619316907273678
    - 0.6994456263449198
    - 0.3620961562275838
    - 0.13151397287964947
    - -0.011221992628282263
    - -0.08492484172967031
    - -0.10768081735297706
    - -0.09629467031652039
    - -0.06580706819466488
    - -0.0290825539528862
    - 0.003505613142363527
    - 0.024285693759498083
    - 0.028391867298539764
    - 0.01376092363917906
    - -0.018975719199649677
    - -0.06669985821154363
    - -0.12410289181461834
    - -0.18406127760512908
    - -0.23807398267202579
    - -0.27674544369557924
    - -0.290296063257795
    - -0.2690814248595356
    - -0.20410069776164858
    - -0.08747641203057736
    - 0.08711245518427777
    - 0.3240645746405589
    - 0.6255627921753405
    - 0.9913613352882232
    - 1.4186690753144862
    - 1.902137898947726
    - 2.433967761546997
    - 3.0040638097354613
    - 3.600292626209945
    - 4.208833848155552
    - 4.814630422396501
    - 5.401861356000702
    - 5.954395636664683
    - 6.4563132858857735
    - 6.892460809018413
    - 7.249006486213631
    - 7.513843927953319
    - 7.676978282082263
    - 7.730896029491388
    - 7.670893792411109
    - 7.495235001858894
    - 7.2051746276862225
    - 6.804967179713159
    - 6.30179800683976
    - 5.70557009444653
    - 5.028550556878439
    - 4.285042403362179
    - 3.491004861088503
    - 2.66357866434635
    - 1.820422914792338
    - 0.9792796520253731
    - 0.15753999059637114
    - -0.6282120217847754
    - -1.3628203815326763
    - -2.0330721417586117
    - -2.627802364487012
    - -3.1381079829556504
    - -3.557554357178831
    - -3.8825776554373608
    - -4.112333055921492
    - -4.2484275369177595
    - -4.294752644665674
    - -4.25739315299762
    - -4.144525665265342
    - -3.965783601570373
    - -3.731820248985573
    - -3.4539359459465073
    - -3.143866292201848
    - -2.8133276986484734
    - -2.473481543389314
    - -2.134609028297336
    - -1.8058788412835616
    - -1.4952226613240303
    - -1.2090390854606476
    - -0.9520730553046027
    - -0.7274075482286922
    - -0.5365460391596756
    - -0.3795115746638871
    - -0.2549521444881019
    - -0.16035542043164622
    - -0.09229788322983944
    - -0.046716030261909465
    - -0.019164837081048807
    - -0.005086742894529466
    - -7.372428136939598e-05
    - -0.00010060278355708582
    - -0.0017209116698781977
    - -0.0022212749739991024
    - 0.0002715121935229208
    - 0.0067362376559657895
    - 0.017255524617363894
    - 0.03106428469392361
    - 0.04664581228609975
    - 0.06186866073858055
    - 0.07415598375979028
    - 0.08067772696894915
    - 0.07855581422045693
    - 0.0650712401369197
    - 0.03786233228765336
    - -0.004896680838809859
    - -0.0643475155175647
    - -0.14083422874021093
    - -0.23383062791203998
    - -0.34191368593298394
    - -0.4627949316738053
    - -0.5933930630429619
    - -0.7299394543034073
    - -0.8681266449145959
    - -1.0032968588632192
    - -1.130672469648157
    - -1.2455531437707956
    - -1.3435248214725741
    - -1.420670083022258
    - -1.47379215344631
    - -1.5005722866365412
    - -1.4996565668375068
    - -1.470738907282785
    - -1.4146064621560825
    - -1.333167245816971
    - -1.2293043061256417
    - -1.106755847141712
    - -0.9699757888170546
    - -0.8239676663747284
    - -0.6740674425072092
    - -0.5256131910934086
    - -0.38374953606486517
    - -0.25322158211096246
    - -0.1381735219603554
    - -0.04192901456594254
    - 0.03319977286381606
    - 0.08595334250339993
    - 0.11615649444276033
    - 0.12472850964739386
    - 0.11363308831852043
    - 0.0857658229501207
    - 0.04475514052261746
    - -0.005231919243561242
    - -0.059708247803783566
    - -0.11412760166085653
    - -0.16415928459131743
    - -0.20593771176315562
    - -0.23627562437940058
    - -0.25286008147859634
    - -0.25441157804085657
    - -0.2408122637061611
    - -0.21312104433270962
    - -0.1735391790163108
    - -0.12531836159153603
    - -0.07261967762976358
    - -0.020335256909655708
    - 0.026193280381920616
    - 0.06147402688382452
    - 0.0801717751272434
    - 0.07741213799273608
    - 0.04908037952448999
    - -0.007871283360795461
    - -0.09518487065042407
    - -0.21312315640015
    - -0.360356745487665
    - -0.5339038647080808
    - -0.7291625123007017
    - -0.9400474764446397
    - -1.1591972725890707
    - -1.3782450393483068
    - -1.5881373460838495
    - -1.779537412588823
    - -1.9432557969340458
    - -2.070685838383002
    - -2.1542306499883397
    - -2.187703655065066
    - -2.1666911984419026
    - -2.0888452487563915
    - -1.9540930946035935
    - -1.7647460854916408
    - -1.5255057599000532
    - -1.243368173233937
    - -0.9274196474205816
    - -0.5885249349768742
    - -0.2388873048309476
    - 0.10841498936104686
    - 0.4399496308027479
    - 0.7425011193301225
    - 1.0036819235957688
    - 1.2125367770848314
    - 1.3600119765084417
    - 1.4393993834100143
    - 1.4467107862831132
    - 1.3809668334051763
    - 1.2442915602238704
    - 1.0418828977997767
    - 0.7818709762312789
    - 0.475046762224207
    - 0.13439381476634937
    - -0.2254413400697516
    - -0.5887317801680018
    - -0.9393287896162065
    - -1.2614469271182611
    - -1.5404770604269473
    - -1.7635467621442387
    - -1.9201286260204948
    - -2.002563084076874
    - -2.006659375305831
    - -1.9318736437972162
    - -1.78127926327665
    - -1.5615265541141248
    - -1.2826605769829682
    - -0.9578498503157293
    - -0.6026215880398886
    - -0.23416071048029122
    - 0.1294361752714564
    - 0.4699280028585863
    - 0.7698435883912251
    - 1.0134264030290634
    - 1.1874015750377824
    - 1.2816878698021776
    - 1.2899497028618379
    - 1.2100281643502389
    - 1.0441309045712692
    - 0.7988346774940936
    - 0.48495551091656747
    - 0.11709211849605348
    - -0.2870371893905978
    - -0.7073889016117252
    - -1.1224867536415397
    - -1.5104057990579287
    - -1.8499512703449335
    - -2.121748923641099
    - -2.309253446827382
    - -2.3996649287559544
    - -2.384773495234304
    - -2.261541636867347
    - -2.0324193041694176
    - -1.7054107981489288
    - -1.293946151365395
    - -0.8164495886620465
    - -0.295527415132252
    - 0.24302792891498395
    - 0.7714228586974534
    - 1.2611631293117167
    - 1.6845501208186275
    - 2.0162103122271713
    - 2.234561883648398
    - 2.323177996192294
    - 2.271986695296032
    - 2.078238137988849
    - 1.7471745519474944
    - 1.2923623334861534
    - 0.7356424352414673
    - 0.1066827663611301
    - -0.5578410147844329
    - -1.2154402340983435
    - -1.8193666663980947
    - -2.3205028478008756
    - -2.6693738724215503
    - -2.818334848349835
    - -2.7238488955003803
    - -2.3487538221694035
    - -1.6642991281903454
    - -0.6519583441260748
    - 0.6949686217872991
    - 2.370142394799446
    - 4.353747510021524
    - 6.612414403733114
    - 9.099381348951196
    - 11.755286314287558
    - 14.509762642763242
    - 17.284223080829694
    - 19.993626934617772
    - 22.548860481127026
    - 24.859681829325314
    - 26.838935866549374
    - 28.406092620996265
    - 29.489002406659182
    - 30.02656006924985
    - 29.971650690170005
    - 29.295108365920704
    - 27.98587368005282
    - 26.05096484036687
    - 23.5158361945054
    - 20.425242778354107
    - 16.8430242262909
    - 12.848304033660193
    - 8.53303581514482
    - 3.9995306877717325
    - -0.6414468376164997
    - -5.275074511226029
    - -9.787132465307579
    - -14.067441122161613
    - -18.013025073406332
    - -21.531288351918693
    - -24.543786697053825
    - -26.98858355052115
    - -28.821828246537482
    - -30.019010553194388
    - -30.57596831504066
    - -30.50839322637453
    - -29.850612629827832
    - -28.6539106002167
    - -26.984899104436167
    - -24.92268192863853
    - -22.555214910437925
    - -19.975793568781285
    - -17.27972998421397
    - -14.561146486776474
    - -11.909102273142349
    - -9.404306935822756
    - -7.1164351564532105
    - -5.102126038249837
    - -3.4032501889789843
    - -2.0457320129797743
    - -1.0392368677216548
    - -0.3775584033389489
    - -0.039623060335024995
    - 0.008999130023193032
    - -0.1859873572663982
    - -0.5701089528821057
    - -1.0829204611365697
    - -1.6609729369380815
    - -2.2408133816415954
    - -2.7618887668143888
    - -3.1692580796990204
    - -3.416039844572893
    - -3.4653599693079498
    - -3.2917815436286872
    - -2.8821844165470476
    - -2.236190198881511
    - -1.3659895077616733
    - -0.2955061190926799
    - 0.9408965872726932
    - 2.3002447033546325
    - 3.7329262969005317
    - 5.185008819127616
    - 6.600644037623076
    - 7.924589674328755
    - 9.104854184416318
    - 10.094844106031541
    - 10.855142629773079
    - 11.355039089289674
    - 11.57382333558918
    - 11.501791244323451
    - 11.140195554499519
    - 10.500840913078576
    - 9.605487109919542
    - 8.484931030854373
    - 7.17753352709186
    - 5.727196525749473
    - 4.1816142376305345
    - 2.5904486405777973
    - 1.0033270115393953
    - -0.5326028483598801
    - -1.9741463665332397
    - -3.283312002636013
    - -4.428431664091897
    - -5.385522493872277
    - -6.139136634545218
    - -6.681837458496149
    - -7.0138847095771
    - -7.142807041608957
    - -7.083281087955183
    - -6.855745646082138
    - -6.4847378800375175
    - -5.99758542834306
    - -5.423319037087076
    - -4.791623753100194
    - -4.131124210296515
    - -3.4681823524772963
    - -2.8260480223179703
    - -2.224379838566264
    - -1.6786789484230273
    - -1.1999082874085552
    - -0.7945265132237989
    - -0.4647725703719453
    - -0.20912648829105976
    - -0.02279502587482589
    - 0.10160886557884995
    - 0.17330563865762577
    - 0.20258170903846773
    - 0.20006801974549285
    - 0.1760729395949165
    - 0.14000744937092663
    - 0.09993643672491621
    - 0.062274850647819624
    - 0.03162220501445198
    - 0.010738014206679875
    - 0.0006499752606276972
    - 0.000872670862559628
    - 0.00971195097166239
    - 0.024625552654717272
    - 0.04260883008552986
    - 0.06057536149759771
    - 0.07570721815618922
    - 0.08574584113660953
    - 0.0892023836092973
    - 0.08548081284891228
    - 0.07490557548261473
    - 0.058661543359828996
    - 0.038643139993068974
    - 0.017237630848025765
    - -0.0029403229913448205
    - -0.019339028983099804
    - -0.029757338041704495
    - -0.03260665875458038
    - -0.027130147834429272
    - -0.013553336658339216
    - 0.00687304383720351
    - 0.03190000857524315
    - 0.05838858799439513
    - 0.0825016542690382
    - 0.09999251713714256
    - 0.10661780012232695
    - 0.09846410134730989
    - 0.07229140697381063
    - 0.025878753131783415
    - -0.04163910209057082
    - -0.12945204584450573
    - -0.2350351852185072
    - -0.3541602509081924
    - -0.48099052932976416
    - -0.6083085811486814
    - -0.7277767044565592
    - -0.8304606377556005
    - -0.9073615718837991
    - -0.9500031780818909
    - -0.9510702217359228
    - -0.9048471796241151
    - -0.8077688295354802
    - -0.6588316376548691
    - -0.45995897725572504
    - -0.21610302153993396
    - 0.0648967800547149
    - 0.37250897306682473
    - 0.6938837058221902
    - 1.0143597844035535
    - 1.318256392074028
    - 1.5896713026913418
    - 1.813337350613363
    - 1.9755020884476828
    - 2.0648177531049225
    - 2.0731103372338593
    - 1.9959685441570514
    - 1.8332052075217546
    - 1.5891557316632734
    - 1.2726766913574985
    - 0.8968538368923019
    - 0.4784958054734184
    - 0.03743001525367473
    - -0.4044031401468608
    - -0.8240911010429498
    - -1.1989654226670166
    - -1.5078514861426693
    - -1.732311660461659
    - -1.8578117209794234
    - -1.8747242393929602
    - -1.7791240469574616
    - -1.5733254664478278
    - -1.2661120273472126
    - -0.8726250029856597
    - -0.4139355268168011
    - 0.0837059055571939
    - 0.5899557527134007
    - 1.0717345214956329
    - 1.4946951280082879
    - 1.8248585042456769
    - 2.030335972831731
    - 2.0830476276772285
    - 1.9601917278532548
    - 1.6455564091875354
    - 1.1306520820261534
    - 0.41549203313708266
    - -0.49126873506012697
    - -1.5723645197889073
    - -2.8022366117420505
    - -4.1477510790950785
    - -5.569760626484266
    - -7.025031719036089
    - -8.467491396015477
    - -9.84994216237469
    - -11.126059301901401
    - -12.253450098701352
    - -13.195103893875219
    - -13.920299652595508
    - -14.405804960236244
    - -14.637416392649799
    - -14.611497035263643
    - -14.333836339365627
    - -13.818975921302325
    - -13.089534894684585
    - -12.176141471720861
    - -11.115724640316984
    - -9.948868865833763
    - -8.7179324844472
    - -7.465407408584953
    - -6.232677336807695
    - -5.057404964067648
    - -3.9717939304789085
    - -3.0014384889039207
    - -2.1647108751791713
    - -1.4722372934992547
    - -0.9264730071269014
    - -0.5221361754485945
    - -0.24703264067524686
    - -0.08320231440706902
    - -0.008205886627973573
    - 0.003284030717124292
    - -0.0222583811112718
    - -0.05893624354399978
    - -0.08305892383457483
    - -0.07462718458918072
    - -0.01855532932040588
    - 0.0944419888697221
    - 0.2673239278000504
    - 0.49658494500565087
    - 0.7725422380451751
    - 1.080007758568854
    - 1.3993026461394522
    - 1.707547505511285
    - 1.9801773647638155
    - 2.192578420593101
    - 2.321749691439773
    - 2.3478972340021325
    - 2.2558558438589364
    - 2.0362644177938116
    - 1.6864418083186943
    - 1.2108932367506948
    - 0.6213261824136429
    - -0.06369555354624666
    - -0.819409051945997
    - -1.6159053726314234
    - -2.4195789456543935
    - -3.1950025953339036
    - -3.906500499337766
    - -4.519873722879037
    - -5.0041875361529415
    - -5.333707975000986
    - -5.4892830010367435
    - -5.459078136527907
    - -5.239333012592444
    - -4.834815958920591
    - -4.2590290659149534
    - -3.533044786673683
    - -2.684573720254634
    - -1.7468952177534274
    - -0.757484979183116
    - 0.24389958412175242
    - 1.217669274959361
    - 2.125821306772852
    - 2.9334461114823287
    - 3.6104818334638793
    - 4.1333255863968725
    - 4.485942906085253
    - 4.659961647722478
    - 4.654821203423737
    - 4.478084538606662
    - 4.144640910330657
    - 3.6757414284277488
    - 3.0974628655174765
    - 2.4395270034361
    - 1.733930766188413
    - 1.012946387661304
    - 0.30754430629979357
    - -0.3540959746393521
    - -0.9475619643787604
    - -1.4533446028419297
    - -1.8576395449565313
    - -2.1527100395919607
    - -2.3367832910402457
    - -2.413659278133403
    - -2.39217033402374
    - -2.2853088322721398
    - -2.109219212624831
    - -1.88195667169856
    - -1.622270515819189
    - -1.3484188785610387
    - -1.0771133678480014
    - -0.8226549646713833
    - -0.5962270176791556
    - -0.4054455376733086
    - -0.2541996193581239
    - -0.14276800637763734
    - -0.06818031379068874
    - -0.024778629220948607
    - -0.004951573048328872
    - 1.7552082474819045e-05
    - -0.0009424721806940879
    - 0.0004357873008111641
    - 0.010968949158954109
    - 0.03537107207164724
    - 0.07578260900755594
    - 0.13151683380966298
    - 0.1990541552048788
    - 0.2722555932621316
    - 0.3427887587296376
    - 0.4007465011658084
    - 0.43542970063688785
    - 0.4362231676235304
    - 0.39344891726571485
    - 0.2992154295931855
    - 0.1481939894385571
    - -0.061784200700879366
    - -0.32934416483476653
    - -0.6493906451857524
    - -1.0131354707901128
    - -1.4084168128657473
    - -1.820373991644054
    - -2.2321999692996677
    - -2.6259639906754666
    - -2.983551312181706
    - -3.287885654182846
    - -3.5240007939026547
    - -3.6799495180860684
    - -3.747401465702592
    - -3.7221856786329406
    - -3.604853291059659
    - -3.4005206940828905
    - -3.118744981886505
    - -2.7728176229918238
    - -2.3790922328320243
    - -1.956075536085558
    - -1.523204580565719
    - -1.099902366667526
    - -0.7042795236523336
    - -0.3520847136943882
    - -0.055721768102603375
    - 0.1764078489189833
    - 0.3402296139557564
    - 0.43627758004165945
    - 0.4696135276972731
    - 0.44934430712973833
    - 0.3878659232790315
    - 0.29992667472706114
    - 0.20161651225247512
    - 0.10917503232471704
    - 0.037754114625304695
    - 0.0003026520965491323
    - 0.006609475261112231
    - 0.0625416122191169
    - 0.1695444727318566
    - 0.3244795903087868
    - 0.5197934340663961
    - 0.7439981367149628
    - 0.9824609570662669
    - 1.218470501777698
    - 1.434484716367723
    - 1.6134880121540542
    - 1.740384589846389
    - 1.8033190094551168
    - 1.7948247783581213
    - 1.7127333017924864
    - 1.5607685322983087
    - 1.3487646470985901
    - 1.0924734353613605
    - 0.8129781316614036
    - 0.5357150777210846
    - 0.28911702873600054
    - 0.10301086883331807
    - 0.006870581430348555
    - 0.027936387649669592
    - 0.18933322212338072
    - 0.5084150310551165
    - 0.9954006543368683
    - 1.6522368322458896
    - 2.4718323302580227
    - 3.437932444198779
    - 4.525851265028027
    - 5.703119115714549
    - 6.930587084625526
    - 8.164015922565317
    - 9.356833347042551
    - 10.462569960489688
    - 11.436637261318998
    - 12.238370781187719
    - 12.83332183886973
    - 13.196345253489275
    - 13.312041330843389
    - 13.175328051682358
    - 12.791584213559872
    - 12.177187420587995
    - 11.359118067127229
    - 10.3723234795863
    - 9.258041958187674
    - 8.061611156748151
    - 6.8308626440214315
    - 5.612971046951401
    - 4.451561923681132
    - 3.3847712303773205
    - 2.4434777560101817
    - 1.6500349326816737
    - 1.0169257431516336
    - 0.5465979000364424
    - 0.23197778933693597
    - 0.057447202022119004
    - 0.0002766784294193881
    - 0.032592473285507906
    - 0.12373458196967897
    - 0.24271875089071107
    - 0.36069932930677256
    - 0.45333394476231237
    - 0.5028177337393248
    - 0.49943027954680697
    - 0.44251994707766634
    - 0.3408783884124055
    - 0.21237091258544316
    - 0.08287134877161952
    - -0.01543323835165652
    - -0.04628083218463258
    - 0.02797289548599598
    - 0.24339806382585139
    - 0.631464953941212
    - 1.2161326158065116
    - 2.011246981046963
    - 3.0184161724093914
    - 4.2255225557136615
    - 5.606002693835623
    - 7.119095513149689
    - 8.710986719981106
    - 10.316583730243782
    - 11.862176772841336
    - 13.268865256659911
    - 14.45679518514304
    - 15.349206257032328
    - 15.876475270600952
    - 15.980278656219998
    - 15.61751336835913
    - 14.763369378367978
    - 13.413327545245625
    - 11.58449753710042
    - 9.316077128322393
    - 6.668031137693823
    - 3.7186098793644744
    - 0.5618207755466034
    - -2.6961722454717707
    - -5.941760809724966
    - -9.060988541789708
    - -11.943804741054292
    - -14.488387850096768
    - -16.605715195721654
    - -18.225481495091557
    - -19.300946661085103
    - -19.808578443054813
    - -19.74890778289656
    - -19.146680118945856
    - -18.052282507973825
    - -16.537678592588225
    - -14.69096884872166
    - -12.612174495317651
    - -10.40902999141924
    - -8.192676774864745
    - -6.069749611465561
    - -4.136869780388306
    - -2.4762355073048634
    - -1.1521914839278597
    - -0.2076084819501061
    - 0.33861840669527277
    - 0.4918811547614234
    - 0.2809921264650625
    - -0.24350056371393158
    - -1.0122926557053793
    - -1.9416245295046848
    - -2.9382233402044258
    - -3.9044939839646386
    - -4.743906561498415
    - -5.366758858637701
    - -5.6952516252193774
    - -5.667800689242832
    - -5.2424656460702685
    - -4.399455152491538
    - -3.1423392672395427
    - -1.4979184221166524
    - 0.4851309620335253
    - 2.738720239057427
    - 5.178860700428607
    - 7.710005300650002
    - 10.229960980442934
    - 12.635248753008828
    - 14.826403229741507
    - 16.71276513966433
    - 18.216936184707727
    - 19.27858966978477
    - 19.857609018948118
    - 19.93541266535925
    - 19.51540816101293
    - 18.622569873687386
    - 17.30200696552261
    - 15.616281990752766
    - 13.641517516546664
    - 11.463640569866806
    - 9.174181437025162
    - 6.865530997206842
    - 4.626232404316999
    - 2.5370921771237973
    - 0.6679886989556604
    - -0.925024515281974
    - -2.202387290733818
    - -3.1416513952252174
    - -3.737169634590675
    - -3.9993668562830007
    - -3.9537101438364277
    - -3.6386585006085332
    - -3.102228257233688
    - -2.398541685990457
    - -1.585003284513283
    - -0.7194289924935124
    - 0.14323945984202321
    - 0.9537667403578846
    - 1.6710677916552927
    - 2.2632788705441165
    - 2.708758795548785
    - 2.996277197612727
    - 3.1246854336374987
    - 3.102282322603477
    - 2.945268033980461
    - 2.6759878811589433
    - 2.3207942380122892
    - 1.908146816264452
    - 1.466842612926975
    - 1.0241907866522457
    - 0.6043086720531038
    - 0.22695259758746378
    - -0.09316858828215378
    - -0.34672648396013594
    - -0.5297926624143942
    - -0.6434761628129875
    - -0.6931815535541175
    - -0.687677715377583
    - -0.6380969276251539
    - -0.5568052541894932
    - -0.4563027904597063
    - -0.34826576594124287
    - -0.24278300273043577
    - -0.14782072344112954
    - -0.0688795778101359
    - -0.008921388057952548
    - 0.03146750261259866
    - 0.05372148511590537
    - 0.06079960208272257
    - 0.056610121141077406
    - 0.04541278313899052
    - 0.03125834986834494
    - 0.017518839282815446
    - 0.00656416557967605
    - -0.0003975795144937136
    - -0.003304275322621326
    - -0.003048985483189919
    - -0.0011303047892548222
    - 0.0008057471013756942
    - 0.001487843410119012
    - 0.0005582515971653008
    - -0.0009311167567484628
    - -0.00014175279834756105
    - 0.007780929976265172
    - 0.029763773336768093
    - 0.07464867262267484
    - 0.1527648437556235
    - 0.2753486727602639
    - 0.4538244561471314
    - 0.69894635476839
    - 1.0198017954174685
    - 1.422816086312202
    - 1.9109787783573957
    - 2.4832053965927003
    - 3.1338002251629127
    - 3.8521391721265976
    - 4.622784177597128
    - 5.425897584200925
    - 6.2380392043778965
    - 7.033020921999562
    - 7.783188689209072
    - 8.460698893249663
    - 9.038906949128869
    - 9.494000647561295
    - 9.806368264330507
    - 9.961780379516961
    - 9.951964419919317
    - 9.775171676137473
    - 9.436711739499211
    - 8.948933215456357
    - 8.330283640040731
    - 7.604180887033493
    - 6.797886491818833
    - 5.941461499736517
    - 5.066130623249035
    - 4.2022680681117865
    - 3.377848960370348
    - 2.6171594005220484
    - 1.9398587823438025
    - 1.3599508614517244
    - 0.8852072725785615
    - 0.5171357585063777
    - 0.2513339767173123
    - 0.0781765207176507
    - -0.016255036146674486
    - -0.04894837455724127
    - -0.038580278567793426
    - -0.004087996451394752
    - 0.036715686958453154
    - 0.06837537899471587
    - 0.07880091221478411
    - 0.059989588733919165
    - 0.008408642223797242
    - -0.07499514818396497
    - -0.18514295587810045
    - -0.31347136209074583
    - -0.44885667276223207
    - -0.5787644895255829
    - -0.6904926305286546
    - -0.7723704426043998
    - -0.8148819410741032
    - -0.8116577592585498
    - -0.7601625464540591
    - -0.6620810526941614
    - -0.5232844985106789
    - -0.35350041083245287
    - -0.16565831741793924
    - 0.025050838338805233
    - 0.2023707965337406
    - 0.35036954197641007
    - 0.4549918990552134
    - 0.5054562303183814
    - 0.4949876914727393
    - 0.4215692930973943
    - 0.28822678232469096
    - 0.10300769333796186
    - -0.12040510478649366
    - -0.36268974247190466
    - -0.5997112884621697
    - -0.8054581078206575
    - -0.9589231991417954
    - -1.0458107131206373
    - -1.0580910838939217
    positive_zeros:
    - '0.21696996601724194680165685759096'
    - '0.45927436485173521828108752383521'
    - '0.58641742493072488737702014572448'
    - '0.72064640569503056221656053998886'
    - '0.958587136767787327850981862236659'
    - '1.52648971158569524364085052799186'
    - '1.54412907965128953180658996791002'
    - '1.87224405904429818286111278499670'
    - '1.89097787696178421380325412060027'
    - '1.90718926491961647063569073258105'
    - '2.56848309304838944365447128978270'
    - '2.62921771527450754792215467096260'
    - '2.66586559047192184633676977325910'
    - '2.76802605723353127996773736381146'
    - '3.08949296168369230736063862162247'
    - '3.42308137265890646370267167357358'
    - '3.43201298988962921435146036445312'
    - '3.46263438954715637089913477910957'
    - '3.57400840190912942996989389609446'
    - '3.87482670820588808630018444073097'
    - '3.94977482558191168904860297231159'
    - '4.08703299869568898134269867216268'
    - '4.14261257908554026966187488337162'
    - '4.38429776250523491488629837581905'
    - '4.52336351759448119970158099902553'
    - '4.68852410266224941595303542872813'
    - '4.80692314025170203342338830153294'
    - '4.96183163639127106591683449239529'
    - '5.08993238855482861556521728513014'
    - '5.19507402007869844321271321893687'
    - '5.45250814979711014299741836143389'
    - '5.74099635003379820536201752380478'
    - '5.74941702805649743865863114056183'
    - '5.89316751707546608715720836282505'
    - '6.11048203850800311622518749798201'
    - '6.35936409030260970362588050183335'
    - '6.47123630617906074515534728455451'
    - '6.47741999848811681443634605144155'
    - '6.61014527591542051501988910940971'
    - '6.66953630113987504597261574199788'
    - '6.75818585290023736201186507033794'
    - '6.92431566898028723280880885140458'
    - '7.08991637496526465922986063239150'
    - '7.21941495570227934432946211200094'
    - '7.32756715758634408626039786937020'
    - '7.67068607014437049866931487629548'
    - '7.68031560341228996209230195269356'
    - '7.73101191830610626860239319491966'
    - '7.900665255305339178569143937759645'
    - '8.081889992010241394588664145288870'
    prelabel: 10-8280e5-1.1-c1e5-0
    primitive: false
    rational: true
    root_analytic_conductor: 8.131182747523278
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e5-0
    trace_hash: 139446338414032133
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.21696996601724194680165685759'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.45927436485173521828108752384'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '0.58641742493072488737702014572'
      prec: 103
- - algebraic: true
    analytic_conductor: 1263389371.5139055
    bad_primes:
    - 2
    - 3
    - 5
    - 23
    central_character: '1.1'
    conductor: 38918104863436800000
    conductor_radical: 690
    degree: 10
    dirichlet_coefficients:
    - 1
    - 0
    - 0
    - 0
    - -5
    - 0
    - -4
    - 0
    - 0
    - 0
    - 4
    - 0
    - 4
    - 0
    - 0
    - 0
    - -10
    - 0
    - -4
    - 0
    - 0
    - 0
    - 5
    - 0
    - 15
    - 0
    - 0
    - 0
    - -10
    - 0
    - 6
    - 0
    - 0
    - 0
    - 20
    - 0
    - 6
    - 0
    - 0
    - 0
    - -12
    - 0
    - -2
    - 0
    - 0
    - 0
    - -4
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - -20
    - 0
    - 0
    - 0
    - -6
    - 0
    - 16
    - 0
    - 0
    - 0
    - -20
    - 0
    - -4
    - 0
    - 0
    - 0
    - -8
    - 0
    - 14
    - 0
    - 0
    - 0
    - -16
    - 0
    - 18
    - 0
    - 0
    - 0
    - 20
    - 0
    - 50
    - 0
    - 0
    - 0
    - -18
    - 0
    - -16
    - 0
    - 0
    - 0
    - 20
    - 0
    - 4
    - 0
    - 0
    - 0
    euler11:
    - 1
    - -4
    - 9
    - -16
    - 100
    - -696
    - 1100
    - -1936
    - 11979
    - -58564
    - 161051
    euler13:
    - 1
    - -4
    - -1
    - 40
    - 84
    - -1192
    - 1092
    - 6760
    - -2197
    - -114244
    - 371293
    euler17:
    - 1
    - 10
    - 60
    - 96
    - -533
    - -4932
    - -9061
    - 27744
    - 294780
    - 835210
    - 1419857
    euler19:
    - 1
    - 4
    - 41
    - 184
    - 788
    - 4616
    - 14972
    - 66424
    - 281219
    - 521284
    - 2476099
    euler2:
    - 1
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    euler23:
    - 1
    - -5
    - 10
    - -10
    - 5
    - -1
    - 0
    - 0
    - 0
    - 0
    - 0
    euler29:
    - 1
    - 10
    - 120
    - 688
    - 4759
    - 21660
    - 138011
    - 578608
    - 2926680
    - 7072810
    - 20511149
    euler3:
    - 1
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    euler31:
    - 1
    - -6
    - 76
    - -176
    - 2391
    - -3476
    - 74121
    - -169136
    - 2264116
    - -5541126
    - 28629151
    euler37:
    - 1
    - -6
    - 174
    - -812
    - 12513
    - -43772
    - 462981
    - -1111628
    - 8813622
    - -11244966
    - 69343957
    euler41:
    - 1
    - 12
    - 152
    - 958
    - 7095
    - 36300
    - 290895
    - 1610398
    - 10475992
    - 33909132
    - 115856201
    euler43:
    - 1
    - 2
    - 131
    - 304
    - 8998
    - 18876
    - 386914
    - 562096
    - 10415417
    - 6837602
    - 147008443
    euler47:
    - 1
    - 4
    - 181
    - 632
    - 14732
    - 42248
    - 692404
    - 1396088
    - 18791963
    - 19518724
    - 229345007
    euler5:
    - 1
    - 5
    - 10
    - 10
    - 5
    - 1
    - 0
    - 0
    - 0
    - 0
    - 0
    euler53:
    - 1
    - 0
    - 124
    - -202
    - 9035
    - -19068
    - 478855
    - -567418
    - 18460748
    - 0
    - 418195493
    euler59:
    - 1
    - 6
    - 26
    - -120
    - 1229
    - -2684
    - 72511
    - -417720
    - 5339854
    - 72704166
    - 714924299
    euler61:
    - 1
    - -16
    - 179
    - -536
    - -3328
    - 79536
    - -203008
    - -1994456
    - 40629599
    - -221533456
    - 844596301
    euler67:
    - 1
    - 4
    - 212
    - 910
    - 24327
    - 79852
    - 1629909
    - 4084990
    - 63761756
    - 80604484
    - 1350125107
    euler7:
    - 1
    - 4
    - 16
    - 58
    - 195
    - 548
    - 1365
    - 2842
    - 5488
    - 9604
    - 16807
    euler71:
    - 1
    - 8
    - 290
    - 1790
    - 37565
    - 179988
    - 2667115
    - 9023390
    - 103794190
    - 203293448
    - 1804229351
    euler73:
    - 1
    - -14
    - 323
    - -3772
    - 44180
    - -402156
    - 3225140
    - -20100988
    - 125652491
    - -397575374
    - 2073071593
    euler79:
    - 1
    - -18
    - 307
    - -3704
    - 40786
    - -393324
    - 3222094
    - -23116664
    - 151362973
    - -701101458
    - 3077056399
    euler83:
    - 1
    - -20
    - 510
    - -6226
    - 88161
    - -748900
    - 7317363
    - -42890914
    - 291611370
    - -949166420
    - 3939040643
    euler89:
    - 1
    - 18
    - 325
    - 4856
    - 55106
    - 582540
    - 4904434
    - 38464376
    - 229114925
    - 1129360338
    - 5584059449
    euler97:
    - 1
    - -4
    - 121
    - -192
    - 1702
    - 24072
    - 165094
    - -1806528
    - 110433433
    - -354117124
    - 8587340257
    euler_factors:
    - - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 5
      - 10
      - 10
      - 5
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 4
      - 16
      - 58
      - 195
      - 548
      - 1365
      - 2842
      - 5488
      - 9604
      - 16807
    - - 1
      - -4
      - 9
      - -16
      - 100
      - -696
      - 1100
      - -1936
      - 11979
      - -58564
      - 161051
    - - 1
      - -4
      - -1
      - 40
      - 84
      - -1192
      - 1092
      - 6760
      - -2197
      - -114244
      - 371293
    - - 1
      - 10
      - 60
      - 96
      - -533
      - -4932
      - -9061
      - 27744
      - 294780
      - 835210
      - 1419857
    - - 1
      - 4
      - 41
      - 184
      - 788
      - 4616
      - 14972
      - 66424
      - 281219
      - 521284
      - 2476099
    - - 1
      - -5
      - 10
      - -10
      - 5
      - -1
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 10
      - 120
      - 688
      - 4759
      - 21660
      - 138011
      - 578608
      - 2926680
      - 7072810
      - 20511149
    - - 1
      - -6
      - 76
      - -176
      - 2391
      - -3476
      - 74121
      - -169136
      - 2264116
      - -5541126
      - 28629151
    - - 1
      - -6
      - 174
      - -812
      - 12513
      - -43772
      - 462981
      - -1111628
      - 8813622
      - -11244966
      - 69343957
    - - 1
      - 12
      - 152
      - 958
      - 7095
      - 36300
      - 290895
      - 1610398
      - 10475992
      - 33909132
      - 115856201
    - - 1
      - 2
      - 131
      - 304
      - 8998
      - 18876
      - 386914
      - 562096
      - 10415417
      - 6837602
      - 147008443
    - - 1
      - 4
      - 181
      - 632
      - 14732
      - 42248
      - 692404
      - 1396088
      - 18791963
      - 19518724
      - 229345007
    - - 1
      - 0
      - 124
      - -202
      - 9035
      - -19068
      - 478855
      - -567418
      - 18460748
      - 0
      - 418195493
    - - 1
      - 6
      - 26
      - -120
      - 1229
      - -2684
      - 72511
      - -417720
      - 5339854
      - 72704166
      - 714924299
    - - 1
      - -16
      - 179
      - -536
      - -3328
      - 79536
      - -203008
      - -1994456
      - 40629599
      - -221533456
      - 844596301
    - - 1
      - 4
      - 212
      - 910
      - 24327
      - 79852
      - 1629909
      - 4084990
      - 63761756
      - 80604484
      - 1350125107
    - - 1
      - 8
      - 290
      - 1790
      - 37565
      - 179988
      - 2667115
      - 9023390
      - 103794190
      - 203293448
      - 1804229351
    - - 1
      - -14
      - 323
      - -3772
      - 44180
      - -402156
      - 3225140
      - -20100988
      - 125652491
      - -397575374
      - 2073071593
    - - 1
      - -18
      - 307
      - -3704
      - 40786
      - -393324
      - 3222094
      - -23116664
      - 151362973
      - -701101458
      - 3077056399
    - - 1
      - -20
      - 510
      - -6226
      - 88161
      - -748900
      - 7317363
      - -42890914
      - 291611370
      - -949166420
      - 3939040643
    - - 1
      - 18
      - 325
      - 4856
      - 55106
      - 582540
      - 4904434
      - 38464376
      - 229114925
      - 1129360338
      - 5584059449
    - - 1
      - -4
      - 121
      - -192
      - 1702
      - 24072
      - 165094
      - -1806528
      - 110433433
      - -354117124
      - 8587340257
    id: 22270548
    index: 0
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/8280/2/a/br
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: true
    is_instance_DIR: false
    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: 10-8280e5-1.1-c1e5-0-0
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    - 1
    - 1
    - 1
    order_of_vanishing: 0
    prelabel: 10-8280e5-1.1-c1e5-0
    primitive: false
    rational: true
    root_analytic_conductor: 8.131182747523278
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e5-0
    trace_hash: 139446338414032133
    z1:
      __RealLiteral__: 0
      data: '0.21696996601724194680165685759'
      prec: 103
- - Lhash: 275042107653255289695163559301,582199424273740973908041600090,743372400697726059837589236133,913527848731621607074687491996,1215153559294745435329644349649
    Lhash_array:
    - '275042107653255289695163559301'
    - '582199424273740973908041600090'
    - '743372400697726059837589236133'
    - '913527848731621607074687491996'
    - '1215153559294745435329644349649'
    id: 22588582
    label: 10-8280e5-1.1-c1e5-0-0
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/8280/2/a/br
label_cols:
- label
- label
- label
labels:
- 10-8280e5-1.1-c1e5-0-0
- 10-8280e5-1.1-c1e5-0-0
- 10-8280e5-1.1-c1e5-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T06:28:36.061884'