data:
- - Lhash: '949159363939411484883030356764'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - 46.76537180435969
    - 0
    a4:
    - 0
    - 0
    a5:
    - 0
    - -402.17597936674116
    a6:
    - 0
    - 0
    a7:
    - 0
    - -1935.6487284628893
    a8:
    - 0
    - 0
    a9:
    - 2187.0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 156.4333862634729
    analytic_normalization:
      __RealLiteral__: 0
      data: '4.0'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - -46.76537180435969
          - 0
    bad_primes:
    - 2
    - 3
    central_character: '384.319'
    coefficient_field: CDF
    conductor: 384
    conductor_radical: 6
    conjugate: '1280532735703600627376804153374'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -46.76537180435969
        - 0
    - - - 1.0
        - 0
      - - 0
        - 402.17597936674116
      - - -390625.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1935.6487284628893
      - - -5764801.0
        - 0
    - - - 1.0
        - 0
      - - -20109.348669909243
        - 0
      - - 214358881.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -43789.29954951033
      - - -815730721.0
        - 0
    - - - 1.0
        - 0
      - - -101325.2408102013
        - 0
      - - 6975757441.0
        - 0
    - - - 1.0
        - 0
      - - -13935.84200366461
        - 0
      - - 16983563041.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 433050.1303421838
      - - -78310985281.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -467977.5082055247
      - - -500246412961.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -1483179.881513271
      - - -852891037441.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -2575542.2324946197
      - - -3512479453921.0
        - 0
    - - - 1.0
        - 0
      - - 3843354.318079461
        - 0
      - - 7984925229121.0
        - 0
    - - - 1.0
        - 0
      - - -1881965.2845218487
        - 0
      - - 11688200277601.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -5931417.551778408
      - - -23811286661761.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 8071275.747214574
      - - -62259690411361.0
        - 0
    - - - 1.0
        - 0
      - - 17870352.41883542
        - 0
      - - 146830437604321.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -21168159.403318267
      - - -191707312997281.0
        - 0
    - - - 1.0
        - 0
      - - -7118671.699690409
        - 0
      - - 406067677556641.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -13642986.333086364
      - - -645753531245761.0
        - 0
    - - - 1.0
        - 0
      - - -39709944.38259543
        - 0
      - - 806460091894081.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -829701.2155715254
      - - -1517108809906561.0
        - 0
    - - - 1.0
        - 0
      - - 14565610.988039559
        - 0
      - - 2252292232139041.0
        - 0
    - - - 1.0
        - 0
      - - -77794330.94523597
        - 0
      - - 3936588805702081.0
        - 0
    - - - 1.0
        - 0
      - - 99587237.8949723
        - 0
      - - 7837433594376961.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -98283877.77296437
      - - -10828567056280800
        - 0
    - - - 1.0
        - 0
      - - 0
        - 183029359.95539194
      - - -12667700813876160
        - 0
    - - - 1.0
        - 0
      - - -41328505.46185193
        - 0
      - - 17181861798319200
        - 0
    - - - 1.0
        - 0
      - - 0
        - -34497377.879698105
      - - -19925626416901920
        - 0
    - - - 1.0
        - 0
      - - 18931502.47411866
        - 0
      - - 26584441929064320
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23696071
    index: 34
    label: 2-384-8.3-c8-0-34
    leading_term: '3.5504863158618745134034094620479435531839345559869814235'
    load_key: CMFs-workshop
    motivic_weight: 8
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 8
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/384/9/b/a/319/6
    plot_delta:
      __RealLiteral__: 0
      data: '0.05859375'
      prec: 34
    plot_values:
    - 3.5504863158618747
    - 3.4795246864213567
    - 3.360726417810488
    - 3.1956443332386786
    - 2.986764237433343
    - 2.7374572050517103
    - 2.4519140039391876
    - 2.135062862831992
    - 1.7924721084823054
    - 1.430239489700323
    - 1.054870270646507
    - 0.6731464082447383
    - 0.29198932444284764
    - -0.0816810608501182
    - -0.4410882596601308
    - -0.7797392691976481
    - -1.0915598963381161
    - -1.3710225409571661
    - -1.6132637191851864
    - -1.8141887552666738
    - -1.9705612720857868
    - -2.0800753641398053
    - -2.1414086403440438
    - -2.1542546739721447
    - -2.1193337885832246
    - -2.038381536138298
    - -1.9141146797304869
    - -1.7501749704598568
    - -1.5510514970195752
    - -1.321982877723401
    - -1.0688410475006886
    - -0.7979988558153153
    - -0.5161841242463471
    - -0.23032320328252925
    - 0.05262259435064421
    - 0.3258240323441768
    - 0.5827506090984547
    - 0.8173328643495926
    - 1.0241163328706124
    - 1.1984032084342315
    - 1.3363779434429728
    - 1.4352132707552354
    - 1.4931534929549541
    - 1.509572336740074
    - 1.4850032096943835
    - 1.4211403142403134
    - 1.3208097572215214
    - 1.1879105290423646
    - 1.027325997064242
    - 0.8448073455573346
    - 0.6468311789094539
    - 0.4404342648857637
    - 0.23302910882696198
    - 0.03220469608854849
    - -0.15448270229443564
    - -0.31972331656766123
    - -0.45666659090387496
    - -0.5591269736768497
    - -0.6217769099743207
    - -0.6403212958117647
    - -0.6116479547221852
    - -0.5339491645627544
    - -0.40680989022459246
    - -0.23125915618425388
    - -0.009781906228745658
    - 0.25371027387641365
    - 0.5539500761282447
    - 0.8844263570954867
    - 1.2375351059523436
    - 1.6047664021760204
    - 1.9769231066778092
    - 2.3443659434129818
    - 2.6972786561500506
    - 3.025946101836772
    - 3.3210374997978382
    - 3.573886622744493
    - 3.7767605140537706
    - 3.9231083626364676
    - 4.007782471608036
    - 4.027223821861715
    - 3.979605550303522
    - 3.8649287203223834
    - 3.6850660360370164
    - 3.443750610919681
    - 3.1465085070138166
    - 2.800535468022417
    - 2.4145200275024736
    - 1.998416927688086
    - 1.5631764781031836
    - 1.1204370585173702
    - 0.6821893716368383
    - 0.26042222415371347
    - -0.1332394874353598
    - -0.48789332822296866
    - -0.7937029219470575
    - -1.042215238238239
    - -1.2266407302086504
    - -1.342086375130556
    - -1.38573292495814
    - -1.3569492602174713
    - -1.2573386190041873
    - -1.0907135893416229
    - -0.8629990443247246
    - -0.5820645929414496
    - -0.25749053630114443
    - 0.09972632375759923
    - 0.47751846328686465
    - 0.8631344546138732
    - 1.243554594088478
    - 1.6059218000082525
    - 1.9379733662936471
    - 2.228458761919611
    - 2.467528780848917
    - 2.647081985597542
    - 2.761055544425517
    - 2.8056492132219613
    - 2.779473315177357
    - 2.6836140628668406
    - 2.521612370322786
    - 2.2993553245679546
    - 2.024882622907405
    - 1.7081134219625658
    - 1.3605020707364872
    - 0.9946339967629743
    - 0.6237754699470578
    - 0.26139298031491354
    - -0.07934055596335167
    - -0.38603467559013155
    - -0.6475470307420153
    - -0.8544080049222663
    - -0.9991876116572573
    - -1.0767898308046886
    - -1.0846619775366413
    - -1.0229096787490093
    - -0.8943114514204139
    - -0.7042306174422929
    - -0.4604262132442443
    - -0.17276851195540044
    - 0.14713138361749173
    - 0.4863648521088166
    - 0.8312257996899579
    - 1.167748687788284
    - 1.482263883705785
    - 1.7619485445650933
    - 1.995350956222385
    - 2.1728668377460227
    - 2.2871475900270384
    - 2.333422779640596
    - 2.309722236280312
    - 2.2169869001333433
    - 2.0590618498871898
    - 1.8425696118384973
    - 1.5766667145032107
    - 1.2726913162515274
    - 0.9437143948701127
    - 0.6040112488565962
    - 0.2684737325557285
    - -0.0480134383024791
    - -0.3312069601370601
    - -0.5681234392224729
    - -0.7476158337353302
    - -0.8608827411701364
    - -0.901887699106134
    - -0.8676689539511435
    - -0.7585243468433757
    - -0.5780609145329697
    - -0.3331043151807565
    - -0.033469044242999055
    - 0.308403637581309
    - 0.6779273369141587
    - 1.0589535929715492
    - 1.434433495934956
    - 1.787131097904209
    - 2.1003590367268057
    - 2.3587051854976786
    - 2.5487188459990535
    - 2.659526069474568
    - 2.683346101246903
    - 2.6158846355604752
    - 2.4565844042191722
    - 2.2087194234514214
    - 1.879325756686352
    - 1.4789686465394891
    - 1.0213530294401951
    - 0.5227914578422793
    - 0.0015500030011593399
    - -0.5229015065650804
    - -1.0307038156506916
    - -1.502452584978957
    - -1.9200361906790466
    - -2.267430014633258
    - -2.531411491571047
    - -2.702163035654625
    - -2.773734359335235
    - -2.7443414566361906
    - -2.6164864214850256
    - -2.396890021374759
    - -2.0962372136484713
    - -1.728744210474991
    - -1.3115638878137545
    - -0.864053913590866
    - -0.4069385803640482
    - 0.03859935615916762
    - 0.45185678087369946
    - 0.8135362335829619
    - 1.106617720291092
    - 1.317136065679663
    - 1.4348273002103435
    - 1.4536130781729182
    - 1.3718991562889895
    - 1.192672226083965
    - 0.9233885225613491
    - 0.5756572134670765
    - 0.16473116417590217
    - -0.2911731801618226
    - -0.7716967924598087
    - -1.2552629712793761
    - -1.7200638685784864
    - -2.145062959479796
    - -2.510966513531413
    - -2.801118087545901
    - -3.002273234991055
    - -3.1052168999156455
    - -3.1051931142222884
    - -3.0021253297780675
    - -2.80061559313349
    - -2.509721347743387
    - -2.1425194206613933
    - -1.715477192723327
    - -1.2476605447023439
    - -0.7598164305522135
    - -0.27337442351932445
    - 0.190584037839777
    - 0.612337959477198
    - 0.9744703972700501
    - 1.2626960975898942
    - 1.4665313167252003
    - 1.5797715369586165
    - 1.6007521930799682
    - 1.532378294458993
    - 1.3819204501667315
    - 1.1605867008872517
    - 0.8828911298781662
    - 0.5658508701050481
    - 0.22805228628252955
    - -0.11136570497061102
    - -0.4337584077338851
    - -0.7219973020508634
    - -0.9614129499971819
    - -1.140608129509451
    - -1.2520966773327127
    - -1.292732144995415
    - -1.2639010040466194
    - -1.1714672581065484
    - -1.0254683212248563
    - -0.8395752386272406
    - -0.6303430672044277
    positive_zeros:
    - '0.74875471503624393377991841243055'
    - '1.98117829297000505904515254093328'
    - '3.11520600731085162838610410974419'
    - '3.75234809083967875536245891303299'
    - '5.37021419131121469421175742694532'
    - '6.13640561937486855743642760298836'
    - '7.36871149634003167839659809914455'
    - '8.059572605174730978332987175276082'
    - '9.189985884201122558551997364744827'
    - '9.791186939464807680070728227593992'
    prelabel: 2-384-8.3-c8-0
    primitive: true
    rational: false
    root_analytic_conductor: 12.507333299447684
    root_angle: 0.0
    root_number: '1'
    self_dual: false
    sign_arg: 0
    spectral_label: c8-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.74875471503624393377991841243'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.98117829297000505904515254093'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.11520600731085162838610410974'
      prec: 103
- - algebraic: true
    analytic_conductor: 156.4333862634729
    bad_primes:
    - 2
    - 3
    central_character: '8.3'
    conductor: 384
    conductor_radical: 6
    degree: 2
    id: 23696071
    index: 34
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/384/9/b/a/319/6
    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: 2-384-8.3-c8-0-34
    motivic_weight: 8
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 8
    order_of_vanishing: 0
    prelabel: 2-384-8.3-c8-0
    primitive: true
    rational: false
    root_analytic_conductor: 12.507333299447684
    root_angle: 0.0
    self_dual: false
    spectral_label: c8-0
    z1:
      __RealLiteral__: 0
      data: '0.74875471503624393377991841243'
      prec: 103
- - Lhash: '949159363939411484883030356764'
    Lhash_array:
    - '949159363939411484883030356764'
    id: 24064236
    label: 2-384-8.3-c8-0-34
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/384/9/b/a/319/6
label_cols:
- label
- label
- label
labels:
- 2-384-8.3-c8-0-34
- 2-384-8.3-c8-0-34
- 2-384-8.3-c8-0-34
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T04:13:28.983868'