data:
- - Lhash: '1860255102000114937578922909013'
    a10:
    - 1.1887912389152873
    - -0.6863489417980099
    a2:
    - 0.0
    - 0.5462082665232075
    a3:
    - -1.7280335610299014
    - -0.11789831192310721
    a4:
    - 1.7016565295817128
    - 0.0
    a5:
    - -1.256570037225623
    - -2.1764431477434942
    a6:
    - 0.0643970325815328
    - -0.9438662158640677
    a7:
    - -0.6127048635947892
    - 2.573828422822176
    a8:
    - 0.0
    - 2.0218753962871396
    a9:
    - 2.9721999760913635
    - 0.40746447958380205
    accuracy: 100
    algebraic: true
    analytic_conductor: 2.1799159751809554
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 3
      - - - 1.0
          - 0
        - - 1.7280335610299014
          - 0.11789831192310721
    - - 7
      - - - 1.0
          - 0
        - - 0.6127048635947892
          - -2.573828422822176
    - - 13
      - - - 1.0
          - 0
        - - -1.897155475711012
          - 3.066072585732393
    bad_primes:
    - 3
    - 7
    - 13
    central_character: '273.269'
    coefficient_field: CDF
    conductor: 273
    conductor_radical: 273
    conjugate: '1607435766486119321444233809109'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - -0.5462082665232075
      - - -2.0
        - 0
    - - - 1.0
        - 0
      - - 1.7280335610299014
        - 0.11789831192310721
    - - - 1.0
        - 0
      - - 1.256570037225623
        - 2.1764431477434942
      - - -2.5
        - 4.330127018922194
    - - - 1.0
        - 0
      - - 0.6127048635947892
        - -2.573828422822176
    - - - 1.0
        - 0
      - - -5.22008309734271
        - 3.013816381443029
      - - 5.5
        - -9.526279441628825
    - - - 1.0
        - 0
      - - -1.897155475711012
        - 3.066072585732393
    - - - 1.0
        - 0
      - - -0.6473027531457587
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - -1.9880055799631011
        - -1.1477755567421746
      - - 9.5
        - 16.454482671904334
    - - - 1.0
        - 0
      - - 0
        - -1.033311258771008
      - - -23.0
        - 0
    - - - 1.0
        - 0
      - - 4.462554575815039
        - 2.576457085620209
      - - 14.5
        - 25.11473670974872
    - - - 1.0
        - 0
      - - -9.257454654343174
        - -5.344793936695786
      - - 15.5
        - 26.846787517317598
    - - - 1.0
        - 0
      - - 3.955324002025386
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - 4.486892915613254
        - -7.77152649796301
      - - -20.5
        - -35.50704155516198
    - - - 1.0
        - 0
      - - 4.099508919421539
        - 7.100557734519891
      - - -21.5
        - 37.239092362730865
    - - - 1.0
        - 0
      - - 2.0964620689094446
        - 3.631178819492123
      - - -23.5
        - 40.703193977868615
    - - - 1.0
        - 0
      - - 0.040651684252936054
        - 0.023470260846444303
      - - 26.5
        - 45.89934640057525
    - - - 1.0
        - 0
      - - -1.6622964634235526
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 3.111423642484321
        - 1.7963812775512888
      - - 30.5
        - 52.827549630850754
    - - - 1.0
        - 0
      - - 0.7612537758282957
        - 1.3185302171882567
      - - -33.5
        - 58.023702053557386
    - - - 1.0
        - 0
      - - 11.472911244856327
        - -6.6238883956064845
      - - 35.5
        - -61.48780366869514
    - - - 1.0
        - 0
      - - -4.768346887300584
        - -2.7530063589725065
      - - 36.5
        - 63.21985447626402
    - - - 1.0
        - 0
      - - 2.147961429482197
        - 3.720378328561439
      - - -39.5
        - 68.41600689897065
    - - - 1.0
        - 0
      - - -11.881561672820558
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 1.0155371924769347
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - 8.58147398148515
        - -4.954516313254222
      - - 48.5
        - -84.00446416709055
    - - - 1.0
        - 0
      - - 2.6586410688475195
        - 4.604901410333129
      - - -50.5
        - 87.4685657822283
    - - - 1.0
        - 0
      - - -2.4143876378139493
        - 1.3939473526199884
      - - 51.5
        - -89.20061658979718
    - - - 1.0
        - 0
      - - 0
        - -19.224057774954186
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 3.025369286042618
        - -5.240093315084194
      - - -54.5
        - -94.39676901250381
    - - - 1.0
        - 0
      - - -7.42599080292555
        - 4.287397789068751
      - - 56.5
        - -97.86087062764156
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 9784722
    index: 8
    label: 2-273-273.269-c1-0-8
    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/273/2/r/b/269/18
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 1.1419779771799494
    - 1.1527562926691661
    - 1.1603962893632138
    - 1.1616489498346747
    - 1.151225908190423
    - 1.122518400101882
    - 1.0683691100268866
    - 0.9818183569713043
    - 0.8568066571719223
    - 0.6888407956635118
    - 0.4756245837766983
    - 0.2176350973567399
    - -0.0813963776292604
    - -0.4141553082830046
    - -0.769630707703836
    - -1.133279441074708
    - -1.4875176616008157
    - -1.81256731289332
    - -2.0876552280096723
    - -2.2925250217394058
    - -2.409180581160967
    - -2.4237384537200364
    - -2.328229648254976
    - -2.12216465570376
    - -1.813664179847402
    - -1.4199667360822295
    - -0.9671560359999634
    - -0.4890068175524292
    - -0.024925575714739894
    - 0.38294260311482925
    - 0.6932664651309872
    - 0.8694645082890479
    - 0.8836626353701402
    - 0.7202542051271832
    - 0.3786260832017488
    - -0.12535322925025089
    - -0.7594011237847266
    - -1.4766240458240896
    - -2.219056236259975
    - -2.922728158965739
    - -3.5238496561177004
    - -3.9655072384927217
    - -4.204140396641275
    - -4.21500343305484
    - -3.9958554823122103
    - -3.5682602737486144
    - -2.9761139680322697
    - -2.2813349421939444
    - -1.5570108968599203
    - -0.8786623373839841
    - -0.31459735721927945
    - 0.08344905032063919
    - 0.2881194617654898
    - 0.30149943880574437
    - 0.15652389592044494
    - -0.08577660984259684
    - -0.3431585024431772
    - -0.5225647497942534
    - -0.5328792291240086
    - -0.2984378741139203
    - 0.22854727984903275
    - 1.0584955863785386
    - 2.1594725208651666
    - 3.4577639414118324
    - 4.844339134745791
    - 6.1867005380213795
    - 7.344795175328645
    - 8.18897501411932
    - 8.617557566032668
    - 8.571441782074627
    - 8.043519036095224
    - 7.081268866949242
    - 5.781868326947006
    - 4.280243594330993
    - 2.7315881213892665
    - 1.290786380488517
    - 0.09175643831945564
    - -0.7701564950432889
    - -1.2499861034537172
    - -1.3572503251742771
    - -1.1516545445535253
    - -0.7310550491079075
    - -0.21364952492145917
    - 0.28262226086355785
    - 0.6599477605054644
    - 0.8563223267249694
    - 0.8542600764463905
    - 0.6809554206094631
    - 0.399848885819006
    - 0.0951503624827029
    - -0.1477543142826202
    - -0.2622097731068931
    - -0.21651535623101312
    - -0.02303983050075649
    - 0.2619411400954297
    - 0.5481050635712366
    - 0.729136462839398
    - 0.7057349221095361
    - 0.40914176242023037
    - -0.17963793304508804
    - -1.0191935339067815
    - -2.0084888604785456
    - -2.9998126316468263
    - -3.822269409375618
    - -4.311971033957548
    - -4.3434974498808785
    - -3.8565797793728827
    - -2.872501589623318
    - -1.4963802169427363
    - 0.09598499314743725
    - 1.685079150216223
    - 3.044058249719692
    - 3.9781032532516525
    - 4.359401687470275
    - 4.150938187665349
    - 3.4141731387148746
    - 2.298647586038541
    - 1.0150252906917587
    - -0.20361094900195717
    - -1.1449307770728598
    - -1.6566390299254483
    - -1.6740922929242883
    - -1.2306520729888024
    - -0.44856627570499846
    - 0.4878937130542593
    - 1.371634177018442
    - 2.0162308553433923
    - 2.2946499902604263
    - 2.1650161022772414
    - 1.6778842689739142
    - 0.9633610853865249
    - 0.20074764290780128
    - -0.4227777440246014
    - -0.7554129573429041
    - -0.7163172805486364
    - -0.31545244995614996
    - 0.3470384468076066
    - 1.1021409052147653
    - 1.7495426184409784
    - 2.1032742953223464
    - 2.0352068913472103
    - 1.5064442318869637
    - 0.5791724639411682
    - -0.5941871069014912
    - -1.8025579088386248
    - -2.821759107625658
    - -3.4639029130401053
    - -3.6194030009507836
    - -3.2818220646567906
    - -2.54955427176854
    - -1.6035944724628473
    - -0.6661998770899905
    - 0.05019523969641585
    - 0.3919954522766434
    - 0.2998531396918662
    - -0.17804939353856686
    - -0.8982565621078439
    - -1.6572161736510491
    - -2.2412264817444494
    - -2.479315324075446
    - -2.2863018621753675
    - -1.6854457362054862
    - -0.8048587693331694
    - 0.15185928411758629
    - 0.9539979529769121
    - 1.399591596042642
    - 1.3651862298682749
    - 0.837221740401301
    - -0.08293165506705959
    - -1.2018538131806729
    - -2.2795451934719813
    - -3.086469361459055
    - -3.4581191870289887
    - -3.3335101741040862
    - -2.767897927504676
    - -1.9164367049207416
    - -0.9928591791904258
    - -0.2136986150982772
    - 0.2575833243132409
    - 0.3520079599082483
    - 0.11106748962882905
    - -0.32714135175266085
    - -0.7682324099943236
    - -1.0177717427513655
    - -0.938421311996592
    - -0.4923381453445166
    - 0.24327782939256976
    - 1.0927016928176314
    - 1.8269612105351523
    - 2.226635622562283
    - 2.145729299134727
    - 1.5591807854731001
    - 0.580211059164807
    - -0.5588015084679957
    - -1.5587555135767588
    - -2.127383038739701
    - -2.0555870016512965
    - -1.2766743205992515
    - 0.10775375963595395
    - 1.8434340013469395
    - 3.578279383471407
    - 4.9438588010703635
    - 5.643662377953982
    - 5.525968614203706
    - 4.622517162660376
    - 3.1425531925751597
    - 1.4230680103516007
    - -0.15268065828263708
    - -1.2479887492868906
    - -1.653389299169504
    - -1.334721955707633
    - -0.43649601848831987
    - 0.7599365724317559
    - 1.9121028496028967
    - 2.7059182641227038
    - 2.9354067323082
    - 2.551877593908491
    - 1.6701782170977155
    - 0.5313020876769006
    - -0.5675900581630002
    - -1.3560039237631425
    - -1.662874398732269
    - -1.4594871915411038
    - -0.8613980984078913
    - -0.08982762503754177
    - 0.5956031325733248
    - 0.9730097741744185
    - 0.9212588636777184
    - 0.45197780346940725
    - -0.2980788210425946
    - -1.1112591608410078
    - -1.7560685307048394
    - -2.056659856612992
    - -1.9438261936638415
    - -1.4722771319018026
    - -0.7992935243811344
    - -0.1317097137260493
    - 0.3419917777133262
    - 0.512886219080884
    - 0.38631380048856423
    - 0.07826129570489185
    - -0.22653951523879315
    - -0.34252484189301
    - -0.15611062894678657
    - 0.320323713299472
    - 0.932353096317603
    - 1.4136090574590565
    - 1.4564554610278122
    - 0.80471782636406
    - -0.6580254875266354
    - -2.8514961765142037
    - -5.492417489127575
    - -8.144470942858057
    - -10.314125717563863
    - -11.568298937799792
    - -11.642565029241961
    - -10.51013843636044
    positive_zeros:
    - '1.46748252370581631838195231169750'
    - '3.50705792284743348659747024856526'
    - '4.34705405631353394375081884466028'
    - '6.34322733865003574507879834908604'
    - '6.83385493809338824141358350769774'
    - '7.45420939744281520268750655292727'
    - '9.511166988885278413642598106583473'
    - '10.30159754679929098747312606828535'
    - '11.16832353566685011979798372904946'
    - '11.63624679304217676424204153357532'
    prelabel: 2-273-273.269-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.4764538513549808
    root_angle: -0.015856759105267158
    root_number: 0.9987594656525177 - 0.04979487694027695*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.00792837955263'
      prec: 57
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.46748252370581631838195231170'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '3.50705792284743348659747024857'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '4.34705405631353394375081884466'
      prec: 103
- - algebraic: true
    analytic_conductor: 2.1799159751809554
    bad_primes:
    - 3
    - 7
    - 13
    central_character: '273.269'
    conductor: 273
    conductor_radical: 273
    degree: 2
    id: 9784722
    index: 8
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/273/2/r/b/269/18
    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: 2-273-273.269-c1-0-8
    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: 2-273-273.269-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.4764538513549808
    root_angle: -0.007928379552633579
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.46748252370581631838195231170'
      prec: 103
- - Lhash: '1860255102000114937578922909013'
    Lhash_array:
    - '1860255102000114937578922909013'
    id: 10150787
    label: 2-273-273.269-c1-0-8
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/273/2/r/b/269/18
label_cols:
- label
- label
- label
labels:
- 2-273-273.269-c1-0-8
- 2-273-273.269-c1-0-8
- 2-273-273.269-c1-0-8
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-05T16:44:01.527811'