data:
- - Lhash: '1547866255245457964802223097542'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - 0
    - -0.848257833028395
    a4:
    - 0
    - 0
    a5:
    - 0
    - 0
    a6:
    - 0
    - 0
    a7:
    - 0
    - 1.7448354690360532
    a8:
    - 0
    - 0
    a9:
    - 2.2804586487059715
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 30.34315276808656
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 19
      - - - 1.0
          - 0
        - - -1.0
          - 0
    bad_primes:
    - 2
    - 5
    - 19
    central_character: '3800.3649'
    coefficient_field: CDF
    conductor: 3800
    conductor_radical: 190
    conjugate: '961871988445819066393954981969'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0.848257833028395
      - - -3.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -1.7448354690360532
      - - -7.0
        - 0
    - - - 1.0
        - 0
      - - -5.924253124549462
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 6.785823120403602
      - - -13.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -1.8602397879446746
      - - -17.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 5.943567231077456
      - - -23.0
        - 0
    - - - 1.0
        - 0
      - - 3.2997727552339655
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - 5.752416036718297
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 4.363786091838753
      - - -37.0
        - 0
    - - - 1.0
        - 0
      - - -7.125004903025122
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -6.984554882445005
      - - -43.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 4.025294117742025
      - - -47.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -9.19014659890867
      - - -53.0
        - 0
    - - - 1.0
        - 0
      - - 2.515528258810358
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 2.4962141522823638
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -6.904848012214694
      - - -67.0
        - 0
    - - - 1.0
        - 0
      - - -1.2728780810237281
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 12.121731875069846
      - - -73.0
        - 0
    - - - 1.0
        - 0
      - - -13.837561647654631
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -4.949547242291487
      - - -83.0
        - 0
    - - - 1.0
        - 0
      - - 15.606653880960723
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 15.776379946550856
      - - -97.0
        - 0
    - - - 1.0
        - 0
      - - 6.814828816854871
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 13.317734721364276
      - - -103.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -3.6993473015578027
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 12.77534259307887
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -8.818449389757342
      - - -113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23395704
    index: 60
    label: 2-3800-5.4-c1-0-60
    leading_term: '2.2709157427055889682473347103316995199791724884720230339'
    load_key: CMFs-workshop
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/3800/2/d/q/3649/5
    plot_delta:
      __RealLiteral__: 0
      data: '0.05859375'
      prec: 34
    plot_values:
    - 2.270915742705589
    - 2.3614106880440495
    - 2.4364391053202947
    - 2.49505345728166
    - 2.5360704856740934
    - 2.558106036971231
    - 2.5596415038784586
    - 2.53911705724177
    - 2.4950452386427147
    - 2.4261376378386177
    - 2.331437174162833
    - 2.2104487491562335
    - 2.063261549102985
    - 1.8906569044683943
    - 1.6941962734266043
    - 1.476284580531288
    - 1.2402048215453814
    - 0.9901205753741753
    - 0.7310438826783503
    - 0.4687668898873603
    - 0.20975673484603952
    - -0.03898563310213107
    - -0.27010066722323683
    - -0.4760760134738619
    - -0.6494779514795309
    - -0.7832021145416177
    - -0.8707357587639198
    - -0.9064226558933215
    - -0.8857207266054422
    - -0.8054418831250658
    - -0.6639632778247971
    - -0.46139931244689913
    - -0.19972439064634667
    - 0.11716248396051011
    - 0.4834385511925202
    - 0.8914287875962705
    - 1.3317507606757517
    - 1.7935327126575316
    - 2.2647016528488737
    - 2.7323350205698724
    - 3.1830662734301263
    - 3.6035317085213014
    - 3.9808430935286485
    - 4.303068426682298
    - 4.559701506039117
    - 4.742100100026113
    - 4.84387247756815
    - 4.861192949738135
    - 4.793028928476155
    - 4.641264809532437
    - 4.410711676243525
    - 4.108996288557938
    - 3.746327910375491
    - 3.3351470362092868
    - 2.889665766526709
    - 2.4253151828967257
    - 1.9581203057807213
    - 1.5040277929315238
    - 1.0782151801399529
    - 0.6944129308816746
    - 0.364271642059936
    - 0.09680630090684654
    - -0.10205257650710009
    - -0.22977477306158153
    - -0.287392221480157
    - -0.2794925050531011
    - -0.21403731271774434
    - -0.10200760954002082
    - 0.04311387401875903
    - 0.20600344228418224
    - 0.3702728638057351
    - 0.5193264898933463
    - 0.6372582760609935
    - 0.7097439043173582
    - 0.7248813403133716
    - 0.6739336717837975
    - 0.5519310716039654
    - 0.35809418820785205
    - 0.09604902891400287
    - -0.226186828424276
    - -0.5964555085562478
    - -0.998944015489715
    - -1.4148869225014369
    - -1.8234576497653885
    - -2.2028078532172923
    - -2.531204578568952
    - -2.7882072850792725
    - -2.9558221574414607
    - -3.019569709739287
    - -2.969403786259457
    - -2.800425734364739
    - -2.5133466159930915
    - -2.114662482310864
    - -1.616522409934709
    - -1.0362854615625468
    - -0.3957801220771079
    - 0.2797028911345979
    - 0.9626372475729429
    - 1.624645607123251
    - 2.237969485089759
    - 2.776944144645609
    - 3.219395142890547
    - 3.5478747628830796
    - 3.7506630233001137
    - 3.8224690905134238
    - 3.7647842559234546
    - 3.5858564402943935
    - 3.3002774597250775
    - 2.9281968541444447
    - 2.4941986280381365
    - 2.025898418408014
    - 1.552337047426854
    - 1.102260908747263
    - 0.7023891415244805
    - 0.375771295458856
    - 0.1403367400121999
    - 0.007728345869095178
    - -0.017501720171574968
    - 0.06172380423665549
    - 0.23507681494544178
    - 0.485353849090908
    - 0.7894450385037638
    - 1.1196927079799865
    - 1.4455647853247409
    - 1.7355465889647732
    - 1.9591383857618159
    - 2.088836568909829
    - 2.1019742123660032
    - 1.9823024816599617
    - 1.7212077962880057
    - 1.318480118784821
    - 0.782574182509032
    - 0.13033633194546337
    - -0.6137969354610032
    - -1.4190887672391206
    - -2.2502080062553724
    - -3.0692511681538317
    - -3.83795763193057
    - -4.519980421227751
    - -5.083068707818712
    - -5.501021224457192
    - -5.755282167512866
    - -5.836072310590555
    - -5.742976742757569
    - -5.484945149420082
    - -5.079698688393753
    - -4.552576789655939
    - -3.9348949905393646
    - -3.2619186059854535
    - -2.5705842351131527
    - -1.8971198137360394
    - -1.2747226650098828
    - -0.7314529572434229
    - -0.2884870581228568
    - 0.04114785642632063
    - 0.2532685262034557
    - 0.35260896123085633
    - 0.35226462218337845
    - 0.27254377112797745
    - 0.13930464083848992
    - -0.01810551046890787
    - -0.16916362389163758
    - -0.2845706750645274
    - -0.3385641766945236
    - -0.31097352281367274
    - -0.18886481509788386
    - 0.032350313032417255
    - 0.3484298643041342
    - 0.7464840474022325
    - 1.2058201052667994
    - 1.6993952086124418
    - 2.1957772714122625
    - 2.6614741485951234
    - 3.063461885245683
    - 3.371724914876618
    - 3.561616931148218
    - 3.6158611880422327
    - 3.5260327784218237
    - 3.2934015210818917
    - 2.9290600166938447
    - 2.4533139799626036
    - 1.8943673092376552
    - 1.2863884021552574
    - 0.6670928518320954
    - 0.07501705811236632
    - -0.4533157352819912
    - -0.8861232460677448
    - -1.1987758704067084
    - -1.375702279156473
    - -1.4116337055506463
    - -1.3120792053983552
    - -1.0929809187792727
    - -0.7795602508269256
    - -0.4044282850192237
    - -0.005091860679579943
    - 0.37896398374700485
    - 0.7094000771845304
    - 0.9521160941927429
    - 1.0800722661174913
    - 1.0756155621721197
    - 0.9321196749402186
    - 0.6547972168731685
    - 0.26060362008397486
    - -0.22277914499010082
    - -0.7588199221724866
    - -1.3047497878387115
    - -1.8147210843217088
    - -2.2432814352277366
    - -2.548901070501991
    - -2.6972825174690347
    - -2.664193340255026
    - -2.4375946477491155
    - -2.018888438242767
    - -1.4231719203376907
    - -0.6784619232094724
    - 0.1760683163404787
    - 1.092720475086457
    - 2.018581892341106
    - 2.8992715579383437
    - 3.682839918089129
    - 4.323525374356296
    - 4.785077775650042
    - 5.043389540724436
    - 5.088226250339734
    - 4.923916860543499
    - 4.568943922479232
    - 4.054460116451668
    - 3.421842224843494
    - 2.719470564855269
    - 1.9989845936612374
    - 1.3113086517519137
    - 0.7027618862405218
    - 0.2115613818206801
    - -0.13500247655064676
    - -0.32249223820703926
    - -0.3501967115412109
    - -0.23088171041800656
    - 0.01056023034384283
    - 0.33944944490763307
    - 0.7144545971153856
    - 1.0912641685279836
    - 1.4264886774553958
    - 1.681467826281405
    - 1.8256631823959357
    - 1.839350069748781
    - 1.7153796014795595
    - 1.459858680292087
    - 1.0916860865944096
    - 0.6409790128440658
    - 0.1465185381442891
    - -0.34757340234577183
    - -0.7956462335546192
    - -1.1544991975836632
    - -1.3871865739995686
    - -1.4663224388505998
    - -1.3765980372044273
    - -1.1162900419344217
    positive_zeros:
    - '1.22105117527398968286102999411330'
    - '1.91303258702036406006892527805910'
    - '3.60018044465088418457920987096052'
    - '3.96796751526747506118423040005605'
    - '4.58887128385372017041781616547880'
    - '5.60095463038775083830483832420408'
    - '6.80304683040596534375394544574238'
    - '6.87712206170750253262522843812154'
    - '7.74511386516323201435774703776532'
    - '9.014812229529090606949252830805572'
    prelabel: 2-3800-5.4-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.5084619239935355
    root_angle: 0.35241638234956674
    root_number: 0.4472135954999579392818347337462552470881236719223051449 + 0.89442719099991587856366946749251049417624734384461028971*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.17620819117478337'
      prec: 64
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.22105117527398968286102999411'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.91303258702036406006892527806'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.60018044465088418457920987096'
      prec: 103
- - algebraic: true
    analytic_conductor: 30.34315276808656
    bad_primes:
    - 2
    - 5
    - 19
    central_character: '5.4'
    conductor: 3800
    conductor_radical: 190
    degree: 2
    id: 23395704
    index: 60
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/3800/2/d/q/3649/5
    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: 2-3800-5.4-c1-0-60
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    prelabel: 2-3800-5.4-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.5084619239935355
    root_angle: 0.17620819117478337
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.22105117527398968286102999411'
      prec: 103
- - Lhash: '1547866255245457964802223097542'
    Lhash_array:
    - '1547866255245457964802223097542'
    id: 23766256
    label: 2-3800-5.4-c1-0-60
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/3800/2/d/q/3649/5
label_cols:
- label
- label
- label
labels:
- 2-3800-5.4-c1-0-60
- 2-3800-5.4-c1-0-60
- 2-3800-5.4-c1-0-60
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-22T08:14:24.124045'