data:
- - Lhash: '2187428262691162321395461194510'
    a10:
    - 0.7915968081574759
    - 0.6976719080998842
    a2:
    - 0.4086633574294685
    - 0.23594189941983992
    a3:
    - 0.0
    - 0.0
    a4:
    - -0.8886628401963163
    - -1.5392091900184819
    a5:
    - 2.1920203702954804
    - 0.44164091319720855
    a6:
    - 0.0
    - 0.0
    a7:
    - 0.0
    - -1.1753981852081028
    a8:
    - 0.0
    - -1.7824587915183538
    a9:
    - 0.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 6.8272093728194765
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - -2.1920203702954804
          - -0.44164091319720855
    - - 19
      - - - 1.0
          - 0
        - - 1.5703069024525993
          - 4.066218910992093
    bad_primes:
    - 3
    - 5
    - 19
    central_character: '855.334'
    coefficient_field: CDF
    conductor: 855
    conductor_radical: 285
    conjugate: '1089888122907018541171807517249'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - -0.4086633574294685
        - -0.23594189941983992
      - - 1.0
        - 1.7320508075688772
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -2.1920203702954804
        - -0.44164091319720855
    - - - 1.0
        - 0
      - - 0
        - 1.1753981852081028
      - - -7.0
        - 0
    - - - 1.0
        - 0
      - - 0.7135379349683995
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - -3.553436256350569
        - 2.051577379152177
      - - 6.5
        - -11.258330249197702
    - - - 1.0
        - 0
      - - 2.2103796347901707
        - 1.2761632771573717
      - - 8.5
        - 14.722431864335457
    - - - 1.0
        - 0
      - - 1.5703069024525993
        - 4.066218910992093
    - - - 1.0
        - 0
      - - -0.5257299067014611
        - 0.3035303031551254
      - - 11.5
        - -19.91858428704209
    - - - 1.0
        - 0
      - - -0.42969309754740076
        - -0.7442502766137479
      - - -14.5
        - 25.11473670974872
    - - - 1.0
        - 0
      - - -2.509136384638968
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 9.381707701816811
      - - -37.0
        - 0
    - - - 1.0
        - 0
      - - 2.0611705178136313
        - -3.5700520599162613
      - - -20.5
        - -35.50704155516198
    - - - 1.0
        - 0
      - - 8.767593656626936
        - 5.061972557798817
      - - 21.5
        - 37.239092362730865
    - - - 1.0
        - 0
      - - -9.109186763155247
        - 5.259191429806258
      - - 23.5
        - -40.703193977868615
    - - - 1.0
        - 0
      - - 4.313299261596016
        - -2.4902844897778733
      - - 26.5
        - -45.89934640057525
    - - - 1.0
        - 0
      - - -3.1249582632378643
        - 5.41258648346018
      - - -29.5
        - -51.09549882328188
    - - - 1.0
        - 0
      - - -2.2773256803926327
        - -3.944443783821402
      - - -30.5
        - 52.827549630850754
    - - - 1.0
        - 0
      - - -4.487829520481498
        - 2.5910495817271424
      - - 33.5
        - -58.023702053557386
    - - - 1.0
        - 0
      - - 6.58392800588678
        - -11.403697819571546
      - - -35.5
        - -61.48780366869514
    - - - 1.0
        - 0
      - - -10.719911608710209
        - -6.189143852977833
      - - 36.5
        - 63.21985447626402
    - - - 1.0
        - 0
      - - 2.9817272307220644
        - -5.164503057922263
      - - -39.5
        - -68.41600689897065
    - - - 1.0
        - 0
      - - 0
        - 13.860292478902673
      - - -83.0
        - 0
    - - - 1.0
        - 0
      - - 7.981727230722064
        - 13.82475709576665
      - - -44.5
        - 77.07626093681505
    - - - 1.0
        - 0
      - - -14.464339296866518
        - -8.350990186695967
      - - 48.5
        - 84.00446416709055
    - - - 1.0
        - 0
      - - -7.013621103434181
        - -12.147948096185292
      - - -50.5
        - 87.4685657822283
    - - - 1.0
        - 0
      - - 0
        - -3.5538249046398764
      - - -103.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -3.631270959464674
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 3.111337159803684
        - -5.388994040257027
      - - -54.5
        - -94.39676901250381
    - - - 1.0
        - 0
      - - 0
        - -12.270741247500663
      - - -113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 15728306
    index: 36
    label: 2-855-95.49-c1-0-36
    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/855/2/be/d/334/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 1.8280908097341952
    - 1.997239956784355
    - 2.1525884052796216
    - 2.289543487512412
    - 2.3987283268838304
    - 2.467219894064084
    - 2.480402625650764
    - 2.4241144471363922
    - 2.2868543484011528
    - 2.0618817121979656
    - 1.7490443598299608
    - 1.3561493489322245
    - 0.8996711397896325
    - 0.4045997986144599
    - -0.09672038852419061
    - -0.5668217943583439
    - -0.9663477454456919
    - -1.2580748914578057
    - -1.411355017085206
    - -1.4064742699052244
    - -1.2383401455574166
    - -0.9188887867636832
    - -0.47767512284435176
    - 0.03972657705015719
    - 0.5756309146090163
    - 1.0662590711549214
    - 1.4493217619154848
    - 1.6723025450828197
    - 1.7003370974149834
    - 1.522479642247078
    - 1.1552193614889146
    - 0.6423756326241585
    - 0.05094930601584533
    - -0.5369078210866646
    - -1.0349992131305965
    - -1.3658573420008504
    - -1.4733268930741859
    - -1.3329023323672746
    - -0.9578920310544249
    - -0.3999567441692125
    - 0.25664138533786984
    - 0.9067398053983531
    - 1.4405201839506605
    - 1.7619446058212331
    - 1.8063943370099922
    - 1.554349629611574
    - 1.0383298970039136
    - 0.34124381745887344
    - -0.41433043351111715
    - -1.0848103237174513
    - -1.529533951823063
    - -1.6360432225620551
    - -1.3422220740405129
    - -0.65098012878463
    - 0.365795318706271
    - 1.5755416540773657
    - 2.804897344316871
    - 3.868212140330947
    - 4.599876762617745
    - 4.884578306756223
    - 4.679589320163211
    - 4.024373513829584
    - 3.0349981716619077
    - 1.8837144768907366
    - 0.7670631003058458
    - -0.13162834411720328
    - -0.6780275470319821
    - -0.8135007873093846
    - -0.5668888758254111
    - -0.04834422619037037
    - 0.5741368398297738
    - 1.1111311474125456
    - 1.3938068334752713
    - 1.3126319383128544
    - 0.8441654826842124
    - 0.05954007227944343
    - -0.8880007660652308
    - -1.794605261474732
    - -2.4500984422570875
    - -2.685626795353157
    - -2.4140507399653908
    - -1.6536425022894161
    - -0.5290341149690964
    - 0.7517003297425577
    - 1.9395198971544625
    - 2.797474636873012
    - 3.1525943748343273
    - 2.9347144330497827
    - 2.1929910443930756
    - 1.085788508640631
    - -0.1542508954884349
    - -1.2722409817585338
    - -2.0482393644820984
    - -2.346162433922974
    - -2.142749657354937
    - -1.5295549706529195
    - -0.6874488094056227
    - 0.1600964048158738
    - 0.8032942914550774
    - 1.0977214837851954
    - 0.998226297004949
    - 0.5663556118624777
    - -0.05060040932135522
    - -0.6633731356043135
    - -1.095536431038851
    - -1.2344308863305669
    - -1.0639831687667372
    - -0.66984557522923
    - -0.21469397953258865
    - 0.11019744784473137
    - 0.1440755602838313
    - -0.19008358282522417
    - -0.8539823068849617
    - -1.6943906722734534
    - -2.4773758729728126
    - -2.9487657201993906
    - -2.9054106700596374
    - -2.257882836837975
    - -1.066524887081625
    - 0.460851850773194
    - 2.011343935781366
    - 3.240166499353886
    - 3.856514365568937
    - 3.699557659025688
    - 2.7837552967281054
    - 1.3001946533698576
    - -0.4278361528863329
    - -2.0244167063285863
    - -3.155174198220722
    - -3.6110283783739865
    - -3.358778303012291
    - -2.5445382993694574
    - -1.4488955696058776
    - -0.4061277549977861
    - 0.2899385265152245
    - 0.46684779957466394
    - 0.1181886063433499
    - -0.6007405869489401
    - -1.4248788197142028
    - -2.0635764490476074
    - -2.2918951894419175
    - -2.0214787594229184
    - -1.329153853604929
    - -0.43381425995659295
    - 0.3723225075527796
    - 0.8179019656348663
    - 0.7435193115674203
    - 0.16123624609389517
    - -0.7372014800084181
    - -1.6281530572416305
    - -2.147647448145918
    - -2.0007253259127906
    - -1.056241061719434
    - 0.601918472498041
    - 2.6840919917196984
    - 4.763890576666783
    - 6.388526120972111
    - 7.199261292675625
    - 7.027287537880767
    - 5.937174022653684
    - 4.205329819875615
    - 2.2401380709955254
    - 0.4677225477146511
    - -0.7826338598887496
    - -1.359732404572927
    - -1.3153473767871267
    - -0.8674548901879492
    - -0.31569933798234734
    - 0.06237606457383019
    - 0.10041224386229082
    - -0.2107245102873117
    - -0.7335668031761216
    - -1.2458608136177272
    - -1.5309059042914728
    - -1.4641895836130594
    - -1.0654132390007338
    - -0.49689632374474746
    - -0.007933121903269216
    - 0.1562501312160768
    - -0.15075963025354272
    - -0.9122097651255214
    - -1.9389334015486464
    - -2.9216075986270384
    - -3.529679188480379
    - -3.5251378079725937
    - -2.8525808543822864
    - -1.6732282288621885
    - -0.32808790789230424
    - 0.7611913645336195
    - 1.2238282485872503
    - 0.8616674673254571
    - -0.27936752375127727
    - -1.9134605997793293
    - -3.5958443759325545
    - -4.856280188484122
    - -5.342906758789612
    - -4.929963439704549
    - -3.7540038542833702
    - -2.1663778088807053
    - -0.6174130794298851
    - 0.48939524132320794
    - 0.9246329783488029
    - 0.6991862297501305
    - 0.04757725891370583
    - -0.6651403012303376
    - -1.0801224569198122
    - -0.977021405479306
    - -0.35499441057504333
    - 0.5667375935145285
    - 1.4298073473188877
    - 1.8711533674165013
    - 1.6634437592494362
    - 0.8107317333407806
    - -0.43665955818097113
    - -1.656181253663702
    - -2.3927783183030353
    - -2.317064232742096
    - -1.3468453360067274
    - 0.31176409111457243
    - 2.2203878698127903
    - 3.8448583016079385
    - 4.727061266676991
    - 4.634027857287579
    - 3.633162731646376
    - 2.0674587660154535
    - 0.43891362065629497
    - -0.7598500749339149
    - -1.207780461122987
    - -0.8557124097249778
    - 0.06902702533688634
    - 1.1537747973434669
    - 1.9537847302132527
    - 2.152290321898489
    - 1.6703131588147084
    - 0.6878517198717429
    - -0.4295089590915264
    - -1.2701803483023506
    - -1.5301799638324363
    - -1.1240625472805372
    - -0.212804406309109
    - 0.860571839943487
    - 1.7024264947780807
    - 2.0169066376622884
    - 1.7152137597365165
    - 0.9447215734998272
    - 0.027515873345357936
    - -0.6675146065420647
    - -0.8694820160042611
    - -0.5110949217836406
    - 0.2460830828326022
    - 1.0768935080874042
    - 1.6233644111894319
    - 1.640130156600019
    - 1.0971636423065934
    - 0.19830496124731492
    - -0.6936140002305627
    - -1.197680582651089
    positive_zeros:
    - '1.72557663941257551390393902324999'
    - '2.86573963849753881525397971391135'
    - '4.01054691090270047640775674489000'
    - '4.95214094320165282630573216885575'
    - '5.93126927734920980111807196598491'
    - '6.70859048245634069294390694341682'
    - '8.103617189756088208019243286791883'
    - '8.634977154604726313123055956014447'
    - '9.383246153031325231870925402639523'
    - '10.30212692704647002337228564268254'
    prelabel: 2-855-95.49-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.612892912619933
    root_angle: 0.3782218211670634
    root_number: 0.3733128046611938 + 0.9277055297215778*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.189110910584'
      prec: 47
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.72557663941257551390393902325'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.86573963849753881525397971391'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '4.01054691090270047640775674489'
      prec: 103
- - algebraic: true
    analytic_conductor: 6.8272093728194765
    bad_primes:
    - 3
    - 5
    - 19
    central_character: '95.49'
    conductor: 855
    conductor_radical: 285
    degree: 2
    id: 15728306
    index: 36
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/855/2/be/d/334/4
    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: 2-855-95.49-c1-0-36
    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: 2-855-95.49-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.612892912619933
    root_angle: 0.1891109105835317
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.72557663941257551390393902325'
      prec: 103
- - Lhash: '2187428262691162321395461194510'
    Lhash_array:
    - '2187428262691162321395461194510'
    id: 16094386
    label: 2-855-95.49-c1-0-36
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/855/2/be/d/334/4
label_cols:
- label
- label
- label
labels:
- 2-855-95.49-c1-0-36
- 2-855-95.49-c1-0-36
- 2-855-95.49-c1-0-36
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-22T08:08:10.028472'