data:
- - Lhash: '757234106963400364147294232451'
    a10:
    - 2.0
    - 0.0
    a2:
    - -1.0
    - 0.0
    a3:
    - 0.0
    - 0.0
    a4:
    - 1.0
    - 0.0
    a5:
    - -2.0
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - 1.0
    - 0.0
    a8:
    - -1.0
    - 0.0
    a9:
    - 0.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 23.140646505767066
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 1.0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 7
      - - - 1.0
          - 0
        - - -1.0
          - 0
    - - 23
      - - - 1.0
          - 0
        - - -1.0
          - 0
    bad_primes:
    - 2
    - 3
    - 7
    - 23
    central_character: '2898.1'
    coefficient_field: CDF
    conductor: 2898
    conductor_radical: 966
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 2.0
        - 0
      - - 5.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - 4.47213595499958
        - 0
      - - 13.0
        - 0
    - - - 1.0
        - 0
      - - 4.47213595499958
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - -2.4721359549995796
        - 0
      - - 19.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - -2.0
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - 2.4721359549995796
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - -6.944271909999159
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - -6.0
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 4.944271909999159
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - -2.4721359549995796
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - -10.94427190999916
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - 4.0
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 6.0
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - -4.944271909999159
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - 4.944271909999159
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - -14.94427190999916
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 4.944271909999159
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 2.4721359549995796
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 9.416407864998739
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - 0.4721359549995794
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - -9.416407864998739
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 4.944271909999159
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - -8.0
        - 0
      - - 107.0
        - 0
    - - - 1.0
        - 0
      - - 2.9442719099991588
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - -18.94427190999916
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 20142067
    index: 4
    label: 2-2898-1.1-c1-0-4
    leading_term: '0.81353698886823143488530008624378'
    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/2898/2/a/v/1/1
    plot_delta:
      __RealLiteral__: 0
      data: '0.05078125'
      prec: 34
    plot_values:
    - 0.8135369888682314
    - 0.8078098702897946
    - 0.7905959170912518
    - 0.7618022997986813
    - 0.7212905224766923
    - 0.6688996567368665
    - 0.6044767978612426
    - 0.527912926718614
    - 0.43918215028799285
    - 0.3383822331923013
    - 0.22577439524874562
    - 0.10182049911715575
    - -0.032784048699946985
    - -0.1770831405564102
    - -0.3298397904950193
    - -0.4895239616219698
    - -0.6543092203160599
    - -0.8220788432722222
    - -0.9904418062044784
    - -1.1567588779502518
    - -1.3181788249820405
    - -1.4716844954320494
    - -1.6141482978145623
    - -1.7423963195418446
    - -1.8532800484497556
    - -1.9437543734636984
    - -2.01096025664646
    - -2.0523101979731897
    - -2.065574367024582
    - -2.04896506362965
    - -2.0012170036227426
    - -1.9216608171891811
    - -1.8102871057663263
    - -1.6677984378151072
    - -1.4956467808790128
    - -1.2960540719115694
    - -1.072013922023308
    - -0.8272728348361014
    - -0.5662897856669498
    - -0.2941735546341901
    - -0.016597819975517125
    - 0.2603053154189334
    - 0.5300719879524453
    - 0.7860513312933157
    - 1.0215655170530114
    - 1.2300815812130121
    - 1.4053909080182865
    - 1.5417916914909333
    - 1.6342692478480405
    - 1.6786687334295696
    - 1.671854653352328
    - 1.6118515437444352
    - 1.4979603885419444
    - 1.3308456987822574
    - 1.1125887405893737
    - 0.8467031436615275
    - 0.5381100442644532
    - 0.19307099772673136
    - -0.18092188947692986
    - -0.5752978400818383
    - -0.9805991474601915
    - -1.3867092202452114
    - -1.78311198904072
    - -2.159176423105321
    - -2.504458716128552
    - -2.8090136829301198
    - -3.063706109788761
    - -3.2605122623408085
    - -3.3928015124235
    - -3.455588126590082
    - -3.445743682281095
    - -3.3621613497102243
    - -3.205864393220525
    - -2.9800526872476043
    - -2.6900827782011287
    - -2.3433790109829387
    - -1.9492754220456887
    - -1.518790413805405
    - -1.0643385929838791
    - -0.599386496630951
    - -0.1380611587995542
    - 0.3052774981907511
    - 0.7164877153100211
    - 1.0821062707106859
    - 1.3898030978917937
    - 1.628814600244263
    - 1.7903401744522096
    - 1.867887070699127
    - 1.8575498936377735
    - 1.7582127692445406
    - 1.5716644322136193
    - 1.3026191685092658
    - 0.9586396000592208
    - 0.549960627173037
    - 0.08921733757837035
    - -0.40891677435420126
    - -0.9281714895144939
    - -1.4511884366194434
    - -1.9600806779954416
    - -2.437025042792612
    - -2.864867143095237
    - -3.227717892198163
    - -3.511519981110541
    - -3.7045632031081923
    - -3.797928761403678
    - -3.7858447348346536
    - -3.6659376617926465
    - -3.4393686526671545
    - -3.1108464452996345
    - -2.688514239144456
    - -2.1837118226600984
    - -1.6106192689483163
    - -0.9857931308022848
    - -0.3276104292881439
    - 0.34436038416845177
    - 1.01003907469132
    - 1.6495390239716634
    - 2.2438720115831723
    - 2.775625501886353
    - 3.2295861196794036
    - 3.5932846276482073
    - 3.857440383441799
    - 4.016286873159957
    - 4.0677643677554896
    - 4.01357086688519
    - 3.8590680852179795
    - 3.613045077080627
    - 3.2873479470595073
    - 2.8963897095595392
    - 2.456559494943774
    - 1.9855547229328356
    - 1.5016633688063967
    - 1.0230258620711639
    - 0.5669073509101831
    - 0.14901095912945211
    - -0.2171387692055133
    - -0.5207157654265849
    - -0.75399312348409
    - -0.9126070059022877
    - -0.9956720256377353
    - -1.005742803022535
    - -0.948623175047565
    - -0.8330313501301801
    - -0.670135847688387
    - -0.4729830353626236
    - -0.255842193334765
    - -0.033498043038798025
    - 0.1794766301777852
    - 0.3694344050444239
    - 0.5243191744232616
    - 0.634252984026084
    - 0.6920155324362985
    - 0.6933928919264317
    - 0.637377978723121
    - 0.5262121934931927
    - 0.36526515837947326
    - 0.1627572496490907
    - -0.07066270242069927
    - -0.3224649737181934
    - -0.5788858216716478
    - -0.825642513533277
    - -1.0486815600911064
    - -1.2349230686846924
    - -1.3729637762364653
    - -1.453702809997722
    - -1.470857516292471
    - -1.4213416712325275
    - -1.3054848314788898
    - -1.1270792088711958
    - -0.8932489055685658
    - -0.6141452217891286
    - -0.30248061086269395
    - 0.02707773929401668
    - 0.3586262062645517
    - 0.675820200276694
    - 0.9627074953280191
    - 1.2045574357591486
    - 1.3886434265946033
    - 1.5049376728062775
    - 1.5466808189109968
    - 1.5107948158519529
    - 1.3981147614474696
    - 1.2134242827583062
    - 0.9652888318723579
    - 0.6656915681644736
    - 0.32948677967975737
    - -0.026304478244977145
    - -0.38332319430156353
    - -0.7227852195485622
    - -1.0264324895533459
    - -1.2774741502468945
    - -1.4614686570649642
    - -1.567100032223073
    - -1.5868060733921854
    - -1.517223223862864
    - -1.3594217286893344
    - -1.1189151894471003
    - -0.8054401746552049
    - -0.43251355745148123
    - -0.016787111205402452
    - 0.42277003534012564
    - 0.8658208055104911
    - 1.2916934321857865
    - 1.6804452166174992
    - 2.0139008419356412
    - 2.2766096364233848
    - 2.456669511521036
    - 2.546371506575508
    - 2.5426276878166405
    - 2.4471561567384112
    - 2.266409578001266
    - 2.0112472914676562
    - 1.6963650090832425
    - 1.3395095639543195
    - 0.9605184319657254
    - 0.5802340890784922
    - 0.2193510903964345
    - -0.1027414269176909
    - -0.36905764043500944
    - -0.5659911896383654
    - -0.6841129243729462
    - -0.7187423587158717
    - -0.6702565360277696
    - -0.5441138889897351
    - -0.3505861208156879
    - -0.10420732393987094
    - 0.17703438849450545
    - 0.47272242909208334
    - 0.7612010026375275
    - 1.020864148652377
    - 1.2314734429844238
    - 1.3754298632419506
    - 1.4389260239017467
    - 1.4129098314331596
    - 1.2937994332191107
    - 1.0839017460341578
    - 0.7915022499945485
    - 0.4306113398723173
    - 0.020371412039052073
    - -0.41585198846253946
    - -0.8516532912192251
    - -1.258986124216005
    - -1.6097067791959327
    - -1.8771800164348285
    - -2.037859560715824
    - -2.0727546193414774
    - -1.9686976316705047
    - -1.7193371430156976
    - -1.3257928181760537
    - -0.7969265489679984
    - -0.14920351533594853
    - 0.5938611053825517
    - 1.4026514900387785
    - 2.2427561710544492
    - 3.076567872158012
    - 3.8650998453729497
    - 4.5699267807035
    positive_zeros:
    - '0.59735238308337249023788317737366'
    - '2.03427891459474538975555527100966'
    - '2.92116632587177739139277256867006'
    - '4.07801953932556335343293690106208'
    - '4.78277130093845119921641208574006'
    - '5.76307538955763884647217413749144'
    - '6.82440993416802819507755564696318'
    - '7.42182084171457260544066133929905'
    - '7.957824570035957710686254924340347'
    - '8.730247826715886651656674922644980'
    prelabel: 2-2898-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.810472586531085
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.59735238308337249023788317737'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.03427891459474538975555527101'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.92116632587177739139277256867'
      prec: 103
- - algebraic: true
    analytic_conductor: 23.140646505767066
    bad_primes:
    - 2
    - 3
    - 7
    - 23
    central_character: '1.1'
    conductor: 2898
    conductor_radical: 966
    degree: 2
    id: 20142067
    index: 4
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2898/2/a/v/1/1
    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: 2-2898-1.1-c1-0-4
    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: 2-2898-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.810472586531085
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.59735238308337249023788317737'
      prec: 103
- - Lhash: '757234106963400364147294232451'
    Lhash_array:
    - '757234106963400364147294232451'
    id: 20546886
    label: 2-2898-1.1-c1-0-4
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2898/2/a/v/1/1
label_cols:
- label
- label
- label
labels:
- 2-2898-1.1-c1-0-4
- 2-2898-1.1-c1-0-4
- 2-2898-1.1-c1-0-4
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T05:07:33.498916'