data:
- - Lhash: '541901555976642934956951010701'
    a10:
    - 0.0
    - 0.0
    a2:
    - -1.0
    - 0.0
    a3:
    - 0.0
    - 0.0
    a4:
    - 1.0
    - 0.0
    a5:
    - 0.0
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - -1.4764520397307908
    - 0.0
    a8:
    - -1.0
    - 0.0
    a9:
    - 0.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 68.27209372819476
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 1.0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 19
      - - - 1.0
          - 0
        - - 1.0
          - 0
    bad_primes:
    - 2
    - 3
    - 5
    - 19
    central_character: '8550.1'
    coefficient_field: CDF
    conductor: 8550
    conductor_radical: 570
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 1.4764520397307908
        - 0
      - - 7.0
        - 0
    - - - 1.0
        - 0
      - - 2.296541414105578
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - 5.296541414105579
        - 0
      - - 13.0
        - 0
    - - - 1.0
        - 0
      - - 1.4764520397307908
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - -1.8671852949132064
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - -7.163726709018785
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - -0.04709592053841863
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - -6.593082828211156
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - -0.17991062562521232
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - -7.983816083393572
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - 12.413172202585944
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - 11.936720162855154
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - -6.343637334643997
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 9.936720162855154
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - 14.80390545776836
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - -14.069534867941947
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - 14.460268123124363
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 12.545986907672738
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 6.116630788480366
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 6.460268123124363
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - -4.429356119192372
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - -13.296541414105578
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 0.22700654616363095
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - -7.202349573028741
        - 0
      - - 107.0
        - 0
    - - - 1.0
        - 0
      - - 7.0470959205384185
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - -20.100446871873938
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 21975562
    index: 5
    label: 2-8550-1.1-c1-0-5
    leading_term: '0.66692414069108933970780062161933'
    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/8550/2/a/cc/1/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.046875'
      prec: 27
    plot_values:
    - 0.6669241406910893
    - 0.6586646826730225
    - 0.6339092754560423
    - 0.5927319007869113
    - 0.5352724168096595
    - 0.46176008789830075
    - 0.3725440397542809
    - 0.26812841216305294
    - 0.1492096704740747
    - 0.016713402829675622
    - -0.12817204126358783
    - -0.2839675512198739
    - -0.4488831069220094
    - -0.6208073535980889
    - -0.7973083852193342
    - -0.9756468075117746
    - -1.1528017231470924
    - -1.3255098464393975
    - -1.490317517495376
    - -1.6436449495875203
    - -1.7818616122221653
    - -1.9013712310390016
    - -1.9987044813596813
    - -2.0706170740494727
    - -2.114190591396943
    - -2.1269331393985618
    - -2.1068766543954998
    - -2.0526675497565345
    - -1.9636473248468196
    - -1.839919795016638
    - -1.6824017467327983
    - -1.4928540823160774
    - -1.273890896609294
    - -1.0289644218630123
    - -0.7623243814125283
    - -0.478950996972737
    - -0.18446168359965703
    - 0.1150076789562136
    - 0.41294511337238005
    - 0.7026258545121609
    - 0.9772930114127929
    - 1.2303511452667468
    - 1.4555675637605916
    - 1.647275484816416
    - 1.8005727238620832
    - 1.9115092379049738
    - 1.9772567425663172
    - 1.9962537252096748
    - 1.9683195222051815
    - 1.8947317174587905
    - 1.7782619503973986
    - 1.6231662833679288
    - 1.4351275502416598
    - 1.2211485599336036
    - 0.989396621624465
    - 0.7490015456143021
    - 0.5098110008344406
    - 0.2821088174992852
    - 0.0763034479605649
    - -0.09740472418885723
    - -0.229367271171698
    - -0.31083185500852145
    - -0.3342749919402919
    - -0.2937115359619412
    - -0.18496908284740338
    - -0.005916038469951324
    - 0.24336692523197437
    - 0.5604808952698508
    - 0.9406752811876905
    - 1.3768918031618633
    - 1.8598883171893787
    - 2.3784421888939047
    - 2.919630086167704
    - 3.469178177430965
    - 4.011873902450225
    - 4.5320278360329596
    - 5.013971800939155
    - 5.442577409935312
    - 5.803777724023987
    - 6.085073787178424
    - 6.276007502689503
    - 6.3685826967879855
    - 6.357617291854049
    - 6.241011278413772
    - 6.01991759897827
    - 5.698806076723011
    - 5.285414050465999
    - 4.790581302212548
    - 4.227971051129685
    - 3.613683087521179
    - 2.9657693696369347
    - 2.3036664365324215
    - 1.647562633961469
    - 1.0177212473097814
    - 0.4337830402834773
    - -0.08592671385529611
    - -0.5250609471558811
    - -0.8698577997106061
    - -1.109667759988213
    - -1.2373790927428936
    - -1.2497229432448675
    - -1.1474435894261241
    - -0.9353241073871542
    - -0.6220630527661085
    - -0.2200034437485534
    - 0.25527885811041695
    - 0.7855145684609001
    - 1.3503900398659514
    - 1.9282830119863847
    - 2.4970581086536603
    - 3.03489212570654
    - 3.521097279626164
    - 3.9369099654346473
    - 4.2662132673356306
    - 4.496163487564944
    - 4.617694261893041
    - 4.625876311723203
    - 4.520116386264491
    - 4.304185268206083
    - 3.986071605233187
    - 3.5776655077765853
    - 3.0942830196246627
    - 2.554049412996192
    - 1.9771654789000312
    - 1.3850862913443827
    - 0.7996460665725186
    - 0.24216550689632846
    - -0.26742074086760287
    - -0.7113792595961115
    - -1.074900430495539
    - -1.3466967564393089
    - -1.5194503563530548
    - -1.5900893652141845
    - -1.5598802968437373
    - -1.4343314437304864
    - -1.2229107503413148
    - -0.9385899301587811
    - -0.5972345208806691
    - -0.2168667156340682
    - 0.18316617286353135
    - 0.5830801625939981
    - 0.9635595814376299
    - 1.306637086225584
    - 1.5965080427865659
    - 1.8202413077934292
    - 1.9683529875309613
    - 2.0352159145444046
    - 2.0192851156456046
    - 1.9231281081340732
    - 1.7532580630393721
    - 1.519777283585341
    - 1.2358476139953851
    - 0.917012870983599
    - 0.580405755240618
    - 0.24387757632530513
    - -0.07490679940908301
    - -0.35936432046441735
    - -0.5948350976374105
    - -0.7693276868996329
    - -0.8741306808771983
    - -0.9042593192464365
    - -0.858713803036161
    - -0.7405352363572258
    - -0.5566551771840049
    - -0.3175451625071551
    - -0.03668276274924867
    - 0.2701398037799271
    - 0.5856301963183536
    - 0.8918926946562239
    - 1.1713616264490814
    - 1.407723613659373
    - 1.5867808753203565
    - 1.6972103928899722
    - 1.7311786854783116
    - 1.6847790355005048
    - 1.5582669150152948
    - 1.3560796523298895
    - 1.0866375303091567
    - 0.7619349503892981
    - 0.3969414319550088
    - 0.008842453143328996
    - -0.38384107932311434
    - -0.7622091055914215
    - -1.1079643072881233
    - -1.4043676090500588
    - -1.6371161450175815
    - -1.7950961718550624
    - -1.870969635493662
    - -1.861561632403778
    - -1.7680264235789167
    - -1.5957814264632342
    - -1.3542111094994083
    - -1.056155277151911
    - -0.7172081755003298
    - -0.3548655061803235
    - 0.01243479620299632
    - 0.36632580452023333
    - 0.6895230699596501
    - 0.9667780060256361
    - 1.1857194586284852
    - 1.33753535494877
    - 1.4174547126931376
    - 1.4250010298628282
    - 1.364000604289395
    - 1.2423429818201235
    - 1.071504755849045
    - 0.865861556516593
    - 0.6418255000020484
    - 0.41685589233303044
    - 0.20839896615471143
    - 0.0328173714704834
    - -0.09562829729708486
    - -0.16568563067584385
    - -0.16984935185700661
    - -0.10488696581630164
    - 0.027883466552344378
    - 0.22258424866905394
    - 0.46904325154988513
    - 0.7533231280005557
    - 1.0584886730801242
    - 1.3655720452151516
    - 1.6546831692244899
    - 1.9062030364652613
    - 2.1019914145118523
    - 2.226538113533852
    - 2.2679886519151147
    - 2.2189809135630894
    - 2.077238953373715
    - 1.8458830189105255
    - 1.5334304443688553
    - 1.1534794953947345
    - 0.7240865321908017
    - 0.2668649722689344
    - -0.1941485826875095
    - -0.6338010486812982
    - -1.0272308840022517
    - -1.3512983180468667
    - -1.5859554736540256
    - -1.7154755901610863
    - -1.7294668048722506
    - -1.6236066811624263
    - -1.4000483624822821
    - -1.0674671203819404
    - -0.6407361840871189
    - -0.14024196889981844
    - 0.40913005071230346
    - 0.9792877840823814
    - 1.540434970908817
    - 2.0627016313343915
    - 2.517811297950948
    - 2.880689692470048
    - 3.130920855654826
    - 3.253963590605102
    - 3.24205315928192
    - 3.094729890234447
    - 2.818956836578753
    - 2.4288117517119865
    positive_zeros:
    - '0.42748495198840934577381925340436'
    - '1.71640144263303283861071150557159'
    - '2.73813691271432471896261109695378'
    - '3.04816280047491355333267091878656'
    - '4.44488765662644566427812513868347'
    - '4.89749380861827777620818265916064'
    - '5.92787427100435568610545633444691'
    - '6.49429958039934027623896745067327'
    - '7.25423533433381964709728552992402'
    - '7.74014146294453995791405619237547'
    prelabel: 2-8550-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 8.262692885990303
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.42748495198840934577381925340'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.71640144263303283861071150557'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.73813691271432471896261109695'
      prec: 103
- - algebraic: true
    analytic_conductor: 68.27209372819476
    bad_primes:
    - 2
    - 3
    - 5
    - 19
    central_character: '1.1'
    conductor: 8550
    conductor_radical: 570
    degree: 2
    id: 21975562
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/8550/2/a/cc/1/2
    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: 2-8550-1.1-c1-0-5
    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: 2-8550-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 8.262692885990303
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.42748495198840934577381925340'
      prec: 103
- - Lhash: '541901555976642934956951010701'
    Lhash_array:
    - '541901555976642934956951010701'
    id: 22345045
    label: 2-8550-1.1-c1-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/8550/2/a/cc/1/2
label_cols:
- label
- label
- label
labels:
- 2-8550-1.1-c1-0-5
- 2-8550-1.1-c1-0-5
- 2-8550-1.1-c1-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T18:32:16.570235'