data:
- - Lhash: 1275962892998658923429941135394,1669906633943950441734508626968
    a10: 0
    a2: 0
    a3: 0
    a4: -16
    a5: 0
    a6: 0
    a7: 0
    a8: 0
    a9: 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 8053.60953433941
    analytic_normalization:
      __RealLiteral__: 0
      data: '1.5'
      prec: 10
    bad_lfactors:
    - - 3
      - - 1
    - - 13
      - - 1
    bad_primes:
    - 3
    - 13
    central_character: '1521.1'
    coefficient_field: 1.1.1.1
    conductor: 2313441
    conductor_radical: 39
    degree: 4
    euler_factors:
    - - 1
      - 0
      - 16
      - 0
      - 64
    - - 1
    - - 1
      - 0
      - 250
      - 0
      - 15625
    - - 1
      - 0
      - -286
      - 0
      - 117649
    - - 1
      - 0
      - 2662
      - 0
      - 1771561
    - - 1
    - - 1
      - 0
      - 9826
      - 0
      - 24137569
    - - 1
      - 0
      - -10582
      - 0
      - 47045881
    - - 1
      - 0
      - 24334
      - 0
      - 148035889
    - - 1
      - 0
      - 48778
      - 0
      - 594823321
    - - 1
      - 0
      - 35282
      - 0
      - 887503681
    - - 1
      - 0
      - -89206
      - 0
      - 2565726409
    - - 1
      - 0
      - 137842
      - 0
      - 4750104241
    - - 1
      - -1040
      - 429414
      - -82687280
      - 6321363049
    - - 1
      - 0
      - 207646
      - 0
      - 10779215329
    - - 1
      - 0
      - 297754
      - 0
      - 22164361129
    - - 1
      - 0
      - 410758
      - 0
      - 42180533641
    - - 1
      - 364
      - 487086
      - 82621084
      - 51520374361
    - - 1
      - 0
      - 172874
      - 0
      - 90458382169
    - - 1
      - 0
      - 715822
      - 0
      - 128100283921
    - - 1
      - 0
      - 638066
      - 0
      - 151334226289
    - - 1
      - 1768
      - 1767534
      - 871692952
      - 243087455521
    - - 1
      - 0
      - 1143574
      - 0
      - 326940373369
    - - 1
      - 0
      - 1409938
      - 0
      - 496981290961
    - - 1
      - 0
      - -56446
      - 0
      - 832972004929
    - - 1
      - 0
      - 2060602
      - 0
      - 1061520150601
    - - 1
      - 3640
      - 5497854
      - 3977526280
      - 1194052296529
    - - 1
      - 0
      - 2450086
      - 0
      - 1500730351849
    - - 1
      - 0
      - -2172742
      - 0
      - 1677100110841
    - - 1
      - 0
      - 2885794
      - 0
      - 2081951752609
    euler_factors_factorization:
    - - - - 1
          - 0
          - 8
        - 2
    - - 1
    - - - - 1
          - 0
          - 125
        - 2
    - - - - 1
          - 0
          - -286
          - 0
          - 117649
        - 1
    - - - - 1
          - 0
          - 1331
        - 2
    - - 1
    - - - - 1
          - 0
          - 4913
        - 2
    - - - - 1
          - 0
          - -10582
          - 0
          - 47045881
        - 1
    - - - - 1
          - 0
          - 12167
        - 2
    - - - - 1
          - 0
          - 24389
        - 2
    - - - - 1
          - 0
          - 35282
          - 0
          - 887503681
        - 1
    - - - - 1
          - 0
          - -89206
          - 0
          - 2565726409
        - 1
    - - - - 1
          - 0
          - 68921
        - 2
    - - - - 1
          - -520
          - 79507
        - 2
    - - - - 1
          - 0
          - 103823
        - 2
    - - - - 1
          - 0
          - 148877
        - 2
    - - - - 1
          - 0
          - 205379
        - 2
    - - - - 1
          - 182
          - 226981
        - 2
    - - - - 1
          - 0
          - 172874
          - 0
          - 90458382169
        - 1
    - - - - 1
          - 0
          - 357911
        - 2
    - - - - 1
          - 0
          - 638066
          - 0
          - 151334226289
        - 1
    - - - - 1
          - 884
          - 493039
        - 2
    - - - - 1
          - 0
          - 571787
        - 2
    - - - - 1
          - 0
          - 704969
        - 2
    - - - - 1
          - 0
          - -56446
          - 0
          - 832972004929
        - 1
    - - - - 1
          - 0
          - 1030301
        - 2
    - - - - 1
          - 1820
          - 1092727
        - 2
    - - - - 1
          - 0
          - 1225043
        - 2
    - - - - 1
          - 0
          - -2172742
          - 0
          - 1677100110841
        - 1
    - - - - 1
          - 0
          - 1442897
        - 2
    gamma_factors:
    - []
    - - 0
      - 0
    group: GL2
    id: 20922302
    index: 5
    label: 4-39e4-1.1-c3e2-0-5
    load_key: CMFs-workshop
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    - 3
    order_of_vanishing: 2
    origin: ModularForm/GL2/Q/holomorphic/1521/4/a/n
    plot_delta:
      __RealLiteral__: 0
      data: '0.025390625'
      prec: 37
    plot_values:
    - -1.6767089169898896e-123
    - 0.008171690228062816
    - 0.03255685708357201
    - 0.07276733345706846
    - 0.12816208701963966
    - 0.19785487119450437
    - 0.28072716710556606
    - 0.375440880505476
    - 0.4804591822711113
    - 0.5940629756686089
    - 0.7143797264094546
    - 0.8394022235981835
    - 0.9670252054052527
    - 1.0950647583546844
    - 1.2213022357599954
    - 1.3435024960982178
    - 1.4594642794192019
    - 1.5670353920565057
    - 1.6641683572420698
    - 1.7489306278070007
    - 1.8195639732820046
    - 1.8744878620732912
    - 1.912360706951428
    - 1.9320747189254692
    - 1.932816830872024
    - 1.9140535981545204
    - 1.8755893857723254
    - 1.8175402803769998
    - 1.7403869921417117
    - 1.6449372454883886
    - 1.5323708453811085
    - 1.404190616180369
    - 1.262257242456918
    - 1.1087295026053494
    - 0.9460868387878127
    - 0.7770603492431288
    - 0.6046415821544531
    - 0.432006463225586
    - 0.26250954164332474
    - 0.0996036849706293
    - -0.053180087178976175
    - -0.1923137677557972
    - -0.3143057610108399
    - -0.41577916460160114
    - -0.4935160952262717
    - -0.5445292036001448
    - -0.5661134864146465
    - -0.5559072779711934
    - -0.5119470484123727
    - -0.43271454553664357
    - -0.3171891881156754
    - -0.1648787734104207
    - 0.024136554726417774
    - 0.24919157537260136
    - 0.5090067485403108
    - 0.8016937016519783
    - 1.124746875970095
    - 1.4750659716723338
    - 1.848974041139753
    - 2.2422540317848787
    - 2.650197801469311
    - 3.0676523044500197
    - 3.489102465918567
    - 3.908721099556999
    - 4.320486650380317
    - 4.718229747153212
    - 5.0957846123771295
    - 5.44702436973801
    - 5.76604257180198
    - 6.0471691161366135
    - 6.285176029414828
    - 6.4752661818913335
    - 6.61329538360169
    - 6.6957270716527715
    - 6.719861115644728
    - 6.683749282606001
    - 6.586420096223813
    - 6.42775210147232
    - 6.208683825114913
    - 5.931044549743857
    - 5.597738981146473
    - 5.212538228570473
    - 4.780230233281136
    - 4.306376721234298
    - 3.797422746758028
    - 3.26042828610933
    - 2.703133281138163
    - 2.1336750146565486
    - 1.5606086041788823
    - 0.9926230888809563
    - 0.43852115870185115
    - -0.09305223246096443
    - -0.5936633257913092
    - -1.0553347853863058
    - -1.4706213606463163
    - -1.832816654712055
    - -2.136037314274425
    - -2.3753815088509262
    - -2.54700629523178
    - -2.648231469899507
    - -2.6775943206607256
    - -2.634896806195401
    - -2.52122284509965
    - -2.3389315514295546
    - -2.0916245322367795
    - -1.7840927757045184
    - -1.4222250121552173
    - -1.0129203779301714
    - -0.5639334911901608
    - -0.08376876010882983
    - 0.4185369335779379
    - 0.9335198528272575
    - 1.4515627906254456
    - 1.9629811339245045
    - 2.4583408822872905
    - 2.9285063403765865
    - 3.364987050107591
    - 3.759930730161057
    - 4.106480406102568
    - 4.398700311967913
    - 4.631923155417154
    - 4.802602172247795
    - 4.908628978879857
    - 4.949111387630371
    - 4.924644712319192
    - 4.8370217479587545
    - 4.689444547643884
    - 4.4861795062783525
    - 4.232702167285509
    - 3.9353159711273005
    - 3.6012290612101783
    - 3.238159359851834
    - 2.8543489850681545
    - 2.458180412441098
    - 2.058140290008958
    - 1.6624712245377657
    - 1.2791018065372193
    - 0.9153559364724467
    - 0.5778691537265924
    - 0.2723725517765781
    - 0.0036166158070193902
    - -0.2247599289585934
    - -0.41027883081470207
    - -0.5516661063624232
    - -0.6488569486097819
    - -0.7029580917981626
    - -0.7161981330128061
    - -0.6918223034958714
    - -0.633984414200107
    - -0.5475944734746783
    - -0.43815610139498856
    - -0.3115919702076803
    - -0.17403791948611405
    - -0.031673101139599695
    - 0.10951174056925511
    - 0.24385355475927323
    - 0.36625281586097064
    - 0.47226028462851083
    - 0.558293564722038
    - 0.6216558181014744
    - 0.6607109284047158
    - 0.6748269311860935
    - 0.664491864461083
    - 0.6311838755427498
    - 0.5774165970052658
    - 0.5065469355260731
    - 0.42274741838413005
    - 0.33077044965328184
    - 0.23585454322611263
    - 0.14346934687975466
    - 0.05917185992019693
    - -0.011640990805020391
    - -0.06390234267037993
    - -0.09308945766360233
    - -0.0953909533981494
    - -0.06786612611289228
    - -0.008578639624656395
    - 0.08331278981189662
    - 0.20748305744457915
    - 0.36242285635663657
    - 0.5454527849935981
    - 0.7527719426399289
    - 0.9795716194651377
    - 1.2201334795696053
    - 1.4680457571375352
    - 1.7163255755331153
    - 1.95772841475819
    - 2.1848634602500026
    - 2.390575527885135
    - 2.5680205815959134
    - 2.711089839466966
    - 2.8144152086809697
    - 2.8737992986146863
    - 2.886127407280017
    - 2.849765604260559
    - 2.7643664029708197
    - 2.6312003843594365
    - 2.4528556200205953
    - 2.233476297784888
    - 1.9783697407963992
    - 1.6941373390146766
    - 1.388215846789637
    - 1.0689002210008776
    - 0.7448559986505844
    - 0.4250485774940471
    - 0.11826935623581904
    - -0.16700044447385504
    - -0.42300659539431384
    - -0.6428851559063438
    - -0.8209840286318981
    - -0.9530097161495152
    - -1.036225798780991
    - -1.0695401275595837
    - -1.0535670313812129
    - -0.9906187757243703
    - -0.8846354274579095
    - -0.7410568937044815
    - -0.5666418175924386
    - -0.36921321757384923
    - -0.15740320895022095
    - 0.0597159061684131
    - 0.2729131038180483
    - 0.4732518314959056
    - 0.6523444579754429
    - 0.8028441372078869
    - 0.918620831295699
    - 0.9952363654271352
    - 1.0299995175913088
    - 1.0223662103094802
    - 0.9738463075489306
    - 0.8882765270352552
    - 0.771571175248429
    - 0.6318290539888816
    - 0.47894187080282247
    - 0.32451686184552825
    - 0.18137709059386295
    - 0.0633063935971593
    - -0.0155077524233684
    - -0.040874131560878976
    - 0.0008481966889962369
    - 0.12226205069354205
    - 0.3344432422154374
    - 0.646440173290803
    - 1.0649044208272018
    - 1.5936631857793477
    - 2.2335074058582047
    - 2.981922104170696
    - 3.8330469878022035
    - 4.77763838654348
    - 5.803190240872882
    - 6.894179813394455
    - 8.032309573668075
    - 9.197059472165455
    - 10.365986378491352
    - 11.51557188378518
    - 12.621499271571006
    - 13.659751785254723
    - 14.606780447215346
    - 15.44077794551693
    - 16.141655569921188
    - 16.692396409737658
    - 17.07877631272851
    - 17.290690057695986
    - 17.321577999404546
    - 17.169621964913354
    - 16.836873059472175
    - 16.3302301884144
    - 15.66030115191892
    - 14.84210408130478
    - 13.89372861777252
    - 12.836735743991106
    - 11.694713733718425
    - 10.493390257634944
    - 9.259194831965821
    - 8.019133522967795
    - 6.799473060652521
    - 5.625457954306971
    - 4.520220288433564
    - 3.50443745786183
    - 2.5955469247915866
    - 1.8074474380915329
    - 1.1500626185015586
    - 0.629178699949917
    - 0.24635921540989497
    - -0.0010106937742766788
    - -0.11949851404123
    - -0.11933635799139788
    - -0.013961417295652824
    - 0.18051472683519576
    - 0.4458950436204055
    - 0.7626316382617545
    - 1.1104266018117068
    - 1.469099824417472
    - 1.819087095264494
    - 2.142349273329463
    - 2.4226713916199505
    - 2.646514016986876
    - 2.8030485521983164
    - 2.8848594016837557
    - 2.887690652373753
    - 2.810929446476703
    - 2.657081991497949
    - 2.432001099915936
    - 2.1441488072536083
    - 1.8045694640552343
    - 1.4260263687931782
    - 1.0227602249856462
    - 0.6096036991074341
    - 0.20159755390712142
    - -0.18681247988894847
    - -0.5422080907970158
    - -0.8528303416664715
    - -1.1089597038864245
    - -1.3033170540089196
    - -1.4312990258151048
    - -1.491126321081434
    - -1.4838649568735336
    - -1.4133412278216668
    - -1.285913158245053
    - -1.1102090490967826
    - -0.896652712252397
    - -0.6571106998705162
    - -0.4042134791731803
    - -0.1510106767594992
    - 0.08983791915346638
    - 0.3063017624540511
    - 0.48782506622163996
    - 0.6253814499995978
    - 0.7122577270410304
    - 0.743875387723286
    - 0.7184257362287241
    - 0.636448845404396
    - 0.5012585168241148
    - 0.318310055345213
    - 0.09538878770755044
    - -0.15816631701171152
    - -0.43149758284297624
    - -0.7130574264141573
    - -0.990817107471073
    - -1.2530466473981874
    - -1.4886199133454017
    - -1.6876516172158658
    - -1.8418069852997332
    - -1.9447247763941673
    - -1.9922415873582981
    - -1.9825647498476249
    - -1.9163389318693638
    - -1.7965738047087874
    - -1.6285110184893759
    - -1.41935173843734
    - -1.177920015121595
    - -0.914267798493779
    - -0.639169501713421
    - -0.36370128079458114
    - -0.09863425184471739
    - 0.14591272309550948
    - 0.3610931600623417
    - 0.5395222267860019
    - 0.6758177313416546
    - 0.7665766065827673
    - 0.8107570530262543
    - 0.8094266329321262
    - 0.7659339439510306
    - 0.6854547197377927
    - 0.5749400753858198
    - 0.44252423737520913
    - 0.2972788393994529
    - 0.1485715456858812
    - 0.005694379726647141
    - -0.12272830773216267
    - -0.22914217239420226
    - -0.30751638182762825
    - -0.3536706283399266
    - -0.3655273480286345
    - -0.34326601438464904
    - -0.28935041417966556
    - -0.2084398657040418
    - -0.10721275019517619
    - 0.005994421637052158
    - 0.12150362209036437
    - 0.22890895609245848
    - 0.317437902424826
    - 0.37675113107006475
    - 0.39723781951006365
    - 0.37089813018351847
    - 0.29146740071944505
    - 0.15525825667140197
    - -0.03896589597683937
    - -0.2893097944137419
    - -0.5911610579832691
    - -0.93676596433009
    - -1.3159185776262414
    - -1.7158452912580648
    - -2.122102902360282
    - -2.518767990803384
    - -2.88943624802626
    - -3.2176546100551007
    - -3.4878895573719895
    - -3.6860899928852335
    - -3.8004907545777566
    - -3.8221620894207975
    - -3.7455377435735806
    - -3.5687993381973433
    - -3.294063172915323
    - -2.9274675454640597
    - -2.479011772247437
    - -1.9622593873110468
    - -1.3938867905161183
    - -0.7929785279970872
    - -0.18040004702175977
    - 0.4222675489949984
    - 0.993376617585723
    - 1.5125246491283104
    - 1.961057244577047
    - 2.3234621304329757
    - 2.587573332051157
    - 2.745860039664751
    - 2.7952226538372456
    - 2.7379977825194786
    - 2.581301713050028
    - 2.3376139236057454
    - 2.023699306295608
    - 1.6607004354555799
    - 1.272743432510845
    - 0.8865532822556801
    - 0.5299062954789625
    - 0.23086910403914807
    - 0.01629213062064706
    - -0.08915338739038488
    - -0.06424850158887813
    - 0.10783061665650334
    - 0.43862884464813573
    - 0.9337240112037991
    - 1.5923220196252774
    - 2.4070316888835452
    - 3.3639432493510677
    - 4.443012137745006
    - 5.618535245928378
    - 6.86020103457763
    - 8.13379886104256
    - 9.402891862642386
    - 10.6295410500457
    - 11.776460937675678
    - 12.80752234961751
    - 13.690175094140372
    - 14.395516123738718
    - 14.90072178978351
    - 15.188528701431892
    - 15.24941778147232
    - 15.080444699808352
    - 14.686959574186162
    - 14.080827696154817
    - 13.281545522535824
    - 12.313993128493973
    - 11.208906183343757
    - 10.000381806087537
    - 8.725770599306367
    - 7.423203153479581
    - 6.131057979557642
    - 4.885778354720992
    - 3.721135347011849
    - 2.6665629152674706
    - 1.7464593380128333
    - 0.9791890566247832
    - 0.3766468389488037
    - -0.0560289873953896
    - -0.32046356674001425
    - -0.42468689135400495
    - -0.3826326428788469
    - -0.2132987046697317
    - 0.06024240854857987
    - 0.4119298367070658
    - 0.8140790748011089
    - 1.2384522294081095
    - 1.6578137461825415
    - 2.046738380083871
    - 2.383138477979574
    - 2.6486217919219697
    - 2.829777087265295
    - 2.917983153576032
    - 2.9102857684984937
    - 2.8086628830256135
    - 2.620403204148664
    - 2.35693164884732
    - 2.0336932195468354
    - 1.6687195520217604
    - 1.2821135971398108
    - 0.8945788567822196
    - 0.5266732936066648
    - 0.1975209258921306
    - -0.07595627336106053
    - -0.27996814132594117
    - -0.4044373156987822
    - -0.44346968925833724
    - -0.39557846561550614
    - -0.2636878547077436
    - -0.05490087600678547
    - 0.2198790668773842
    - 0.5466443115333692
    - 0.9088876788923202
    - 1.2886958215520823
    - 1.6673656027498895
    - 2.0266892327503463
    - 2.3494648805690024
    - 2.6210045058705775
    - 2.82899778843962
    - 2.964172830745856
    - 3.021041354588834
    - 3.000797411427726
    - 2.9064592122929422
    - 2.7364266127169214
    - 2.4987785311104367
    positive_zeros:
    - '1.00655724279934310474327491069866'
    - '1.31732405888759754477880926370852'
    - '2.30600523739104581527236488882335'
    - '2.77187807113650451896034189970165'
    - '3.55505660731407155280105406810761'
    - '3.89040580809538059225491106695430'
    - '4.33717937869256377580484571025997'
    - '4.47156567398099798176236753724371'
    - '5.21533422105478407613540508452031'
    - '5.57895385905292561629522994632353'
    - '6.01113100590954679548542440306230'
    - '6.06808775661276535288782590171648'
    - '7.21079640178592173931393431179988'
    - '7.28937037436413480601284473953463'
    - '7.83327389115685696044828067506493'
    - '8.216853897304774644156514369066375'
    - '8.490328606881175717517447574419812'
    - '8.998214003713661364437147075986775'
    prelabel: 4-39e4-1.1-c3e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 9.473220419621383
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c3e2-0
    trace_hash: 2246708320622317509
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.00655724279934310474327491070'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.31732405888759754477880926371'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.30600523739104581527236488882'
      prec: 103
- - algebraic: true
    analytic_conductor: 8053.60953433941
    bad_primes:
    - 3
    - 13
    central_character: '1.1'
    conductor: 2313441
    conductor_radical: 39
    degree: 4
    dirichlet_coefficients:
    - 1
    - 0
    - 0
    - -16
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 192
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - -250
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 1040
    - 0
    - 0
    - 0
    - 0
    - 0
    - 286
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - -364
    - 0
    - 0
    - -2048
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1768
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 4000
    euler11:
    - 1
    - 0
    - 2662
    - 0
    - 1771561
    euler13:
    - 1
    - 0
    - 0
    - 0
    - 0
    euler17:
    - 1
    - 0
    - 9826
    - 0
    - 24137569
    euler19:
    - 1
    - 0
    - -10582
    - 0
    - 47045881
    euler2:
    - 1
    - 0
    - 16
    - 0
    - 64
    euler23:
    - 1
    - 0
    - 24334
    - 0
    - 148035889
    euler29:
    - 1
    - 0
    - 48778
    - 0
    - 594823321
    euler3:
    - 1
    - 0
    - 0
    - 0
    - 0
    euler31:
    - 1
    - 0
    - 35282
    - 0
    - 887503681
    euler37:
    - 1
    - 0
    - -89206
    - 0
    - 2565726409
    euler41:
    - 1
    - 0
    - 137842
    - 0
    - 4750104241
    euler43:
    - 1
    - -1040
    - 429414
    - -82687280
    - 6321363049
    euler47:
    - 1
    - 0
    - 207646
    - 0
    - 10779215329
    euler5:
    - 1
    - 0
    - 250
    - 0
    - 15625
    euler53:
    - 1
    - 0
    - 297754
    - 0
    - 22164361129
    euler59:
    - 1
    - 0
    - 410758
    - 0
    - 42180533641
    euler61:
    - 1
    - 364
    - 487086
    - 82621084
    - 51520374361
    euler67:
    - 1
    - 0
    - 172874
    - 0
    - 90458382169
    euler7:
    - 1
    - 0
    - -286
    - 0
    - 117649
    euler71:
    - 1
    - 0
    - 715822
    - 0
    - 128100283921
    euler73:
    - 1
    - 0
    - 638066
    - 0
    - 151334226289
    euler79:
    - 1
    - 1768
    - 1767534
    - 871692952
    - 243087455521
    euler83:
    - 1
    - 0
    - 1143574
    - 0
    - 326940373369
    euler89:
    - 1
    - 0
    - 1409938
    - 0
    - 496981290961
    euler97:
    - 1
    - 0
    - -56446
    - 0
    - 832972004929
    euler_factors:
    - - 1
      - 0
      - 16
      - 0
      - 64
    - - 1
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 0
      - 250
      - 0
      - 15625
    - - 1
      - 0
      - -286
      - 0
      - 117649
    - - 1
      - 0
      - 2662
      - 0
      - 1771561
    - - 1
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 0
      - 9826
      - 0
      - 24137569
    - - 1
      - 0
      - -10582
      - 0
      - 47045881
    - - 1
      - 0
      - 24334
      - 0
      - 148035889
    - - 1
      - 0
      - 48778
      - 0
      - 594823321
    - - 1
      - 0
      - 35282
      - 0
      - 887503681
    - - 1
      - 0
      - -89206
      - 0
      - 2565726409
    - - 1
      - 0
      - 137842
      - 0
      - 4750104241
    - - 1
      - -1040
      - 429414
      - -82687280
      - 6321363049
    - - 1
      - 0
      - 207646
      - 0
      - 10779215329
    - - 1
      - 0
      - 297754
      - 0
      - 22164361129
    - - 1
      - 0
      - 410758
      - 0
      - 42180533641
    - - 1
      - 364
      - 487086
      - 82621084
      - 51520374361
    - - 1
      - 0
      - 172874
      - 0
      - 90458382169
    - - 1
      - 0
      - 715822
      - 0
      - 128100283921
    - - 1
      - 0
      - 638066
      - 0
      - 151334226289
    - - 1
      - 1768
      - 1767534
      - 871692952
      - 243087455521
    - - 1
      - 0
      - 1143574
      - 0
      - 326940373369
    - - 1
      - 0
      - 1409938
      - 0
      - 496981290961
    - - 1
      - 0
      - -56446
      - 0
      - 832972004929
    id: 20922302
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1521/4/a/n
    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: 4-39e4-1.1-c3e2-0-5
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    - 3
    order_of_vanishing: 2
    prelabel: 4-39e4-1.1-c3e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 9.473220419621383
    root_angle: 0.0
    self_dual: true
    spectral_label: c3e2-0
    trace_hash: 2246708320622317509
    z1:
      __RealLiteral__: 0
      data: '1.00655724279934310474327491070'
      prec: 103
- - Lhash: 1275962892998658923429941135394,1669906633943950441734508626968
    Lhash_array:
    - '1275962892998658923429941135394'
    - '1669906633943950441734508626968'
    id: 21239281
    label: 4-39e4-1.1-c3e2-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1521/4/a/n
label_cols:
- label
- label
- label
labels:
- 4-39e4-1.1-c3e2-0-5
- 4-39e4-1.1-c3e2-0-5
- 4-39e4-1.1-c3e2-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T04:02:16.103992'