data:
- - Lhash: '95080481807045740135088458822'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - 0
    - 0
    a4:
    - 0
    - 0
    a5:
    - -2.6899940478558295
    - 0
    a6:
    - 0
    - 0
    a7:
    - 0
    - 4.151634374255492
    a8:
    - 0
    - 0
    a9:
    - 0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 29.89599051676739
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 13
      - - - 1.0
          - 0
        - - -3.53159113644255
          - -0.7265425280053609
    bad_primes:
    - 2
    - 3
    - 13
    central_character: '3744.1585'
    coefficient_field: CDF
    conductor: 3744
    conductor_radical: 78
    conjugate: '2049462245546554845679749210316'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 2.6899940478558295
        - 0
      - - 5.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -4.151634374255492
      - - -7.0
        - 0
    - - - 1.0
        - 0
      - - 4.352501798965643
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - -3.53159113644255
        - -0.7265425280053609
    - - - 1.0
        - 0
      - - 5.871297638086454
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - -5.7142344931319125
        - 0
      - - 19.0
        - 0
    - - - 1.0
        - 0
      - - -3.628661498404408
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -3.086723836853634
      - - -29.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -9.283336678560083
      - - -31.0
        - 0
    - - - 1.0
        - 0
      - - 2.697895559506373
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -11.107377520931497
      - - -41.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 3.804226065180614
      - - -43.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -4.910341757963663
      - - -47.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.179023591793603
      - - -53.0
        - 0
    - - - 1.0
        - 0
      - - 2.297529205473612
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 7.053423027509678
      - - -61.0
        - 0
    - - - 1.0
        - 0
      - - 10.07952120651064
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -2.0819146332174734
      - - -71.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 13.434971052815575
      - - -73.0
        - 0
    - - - 1.0
        - 0
      - - 10.94427190999916
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - -9.732489894677302
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 12.187740547882402
      - - -89.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 5.131702304304591
      - - -97.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 14.983272245740997
      - - -101.0
        - 0
    - - - 1.0
        - 0
      - - 1.7082039324993692
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 4.994424081913666
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 8.730573426757452
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - 5.871297638086454
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23567966
    index: 3
    label: 2-3744-104.77-c1-0-3
    leading_term: '0.209467901662441287787566419411357900939139748375585513'
    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/3744/2/m/h/1585/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.046875'
      prec: 27
    plot_values:
    - 0.20946790166244128
    - 0.07658219656921801
    - -0.04962337497896177
    - -0.1684573178591897
    - -0.2791665998782528
    - -0.38091855554795506
    - -0.47278993936964686
    - -0.5537638405696119
    - -0.6227347499198348
    - -0.6785216734315852
    - -0.7198888430416891
    - -0.7455732947541172
    - -0.7543183727566657
    - -0.7449120680720279
    - -0.7162290016668273
    - -0.6672748024028221
    - -0.5972315985506987
    - -0.5055033291541423
    - -0.3917595828862634
    - -0.25597668484734465
    - -0.09847477625282795
    - 0.08005032976730968
    - 0.2785016778406334
    - 0.4953631714270885
    - 0.7286900317790442
    - 0.9761085753086371
    - 1.2348260156414452
    - 1.5016508134928095
    - 1.7730238861248735
    - 2.045060750532421
    - 2.3136044140102032
    - 2.574288547017873
    - 2.822610182136299
    - 3.0540108863415156
    - 3.2639650596731666
    - 3.4480737302311404
    - 3.6021619523799235
    - 3.7223776813927736
    - 3.8052898027951665
    - 3.8479828472836632
    - 3.848145830547403
    - 3.8041526288603724
    - 3.7151313418951664
    - 3.5810202081825397
    - 3.402607828480661
    - 3.1815557183901824
    - 2.9204015519282764
    - 2.6225418681076915
    - 2.2921934860265
    - 1.9343334012680444
    - 1.554617505881112
    - 1.1592790720187358
    - 0.755008549709729
    - 0.34881683491219373
    - -0.05211525347928144
    - -0.44059800868276605
    - -0.8096006251369426
    - -1.1524215845248102
    - -1.462857179643907
    - -1.7353635278626078
    - -1.965207362483909
    - -2.1486009626530533
    - -2.282816796832527
    - -2.366277813584302
    - -2.398619814260945
    - -2.3807229783549784
    - -2.3147103720598605
    - -2.2039121377158755
    - -2.052795015422077
    - -1.8668578632665707
    - -1.6524948908970263
    - -1.4168293712323219
    - -1.1675216137513753
    - -0.9125559357550822
    - -0.660012221156744
    - -0.4178283768500621
    - -0.19356055411110396
    - 0.005851629985903962
    - 0.1743074805654009
    - 0.30674790438039723
    - 0.3993313730470428
    - 0.4495767127200354
    - 0.4564670472557294
    - 0.4205102265102946
    - 0.3437522740712052
    - 0.22974175939298566
    - 0.0834445006737106
    - -0.08889040687942817
    - -0.2799106164922597
    - -0.4813823767159594
    - -0.684448426107979
    - -0.8799147460342815
    - -1.0585577452401
    - -1.2114424428878758
    - -1.3302414844967374
    - -1.4075444052393047
    - -1.437146475899208
    - -1.4143067464647658
    - -1.3359655471071996
    - -1.2009127099031986
    - -1.0098991179059427
    - -0.7656858389439286
    - -0.47302701535561986
    - -0.138584801898584
    - 0.2292230934499471
    - 0.6204403809048727
    - 1.0238484691572476
    - 1.4272946269799751
    - 1.8180625513151838
    - 2.1832740764913314
    - 2.5103092994465928
    - 2.787231331883599
    - 3.0032012755443787
    - 3.1488688904893833
    - 3.2167248113486453
    - 3.2014010681234106
    - 3.0999080726083523
    - 2.911798106157969
    - 2.639247637959707
    - 2.287053446315404
    - 1.8625404241449948
    - 1.3753820263924095
    - 0.8373374536834983
    - 0.26191274966206995
    - -0.3360440970510095
    - -0.940801325159403
    - -1.5362398864908842
    - -2.106371531606475
    - -2.6358605964171193
    - -3.1105310359883704
    - -3.5178403671498018
    - -3.8473029834624186
    - -4.09084678474503
    - -4.2430891825278705
    - -4.301521240349327
    - -4.2665918971529155
    - -4.141687794673175
    - -3.9330080587011604
    - -3.649337328526652
    - -3.3017242387506376
    - -2.903076279834311
    - -2.4676853476792564
    - -2.0107011964965547
    - -1.547572306273236
    - -1.09347525970381
    - -0.6627545122801625
    - -0.2683943815342496
    - 0.0784558420753487
    - 0.36888453438323054
    - 0.596531573668762
    - 0.757800112658399
    - 0.8519569190391236
    - 0.8811162693507575
    - 0.8501070258290369
    - 0.7662272803581399
    - 0.6388956219454618
    - 0.47921247991733673
    - 0.29944892631465797
    - 0.11248361383108511
    - -0.06878897200105114
    - -0.23205417903768175
    - -0.36615141924348826
    - -0.4616020741273838
    - -0.5110677057507017
    - -0.5097177426721622
    - -0.4554892838792941
    - -0.3492259480932981
    - -0.19468762854939442
    - 0.0015715997343923188
    - 0.23045455077728683
    - 0.48069248374655354
    - 0.7393232679587542
    - 0.9922573732914934
    - 1.224908694394471
    - 1.4228639059833659
    - 1.572561796880912
    - 1.6619529650986449
    - 1.6811104496940952
    - 1.62276334917429
    - 1.4827281974456288
    - 1.2602167480984527
    - 0.958003714678106
    - 0.5824437389829888
    - 0.14333318077403456
    - -0.34638102194573056
    - -0.8710364664568916
    - -1.4128189528353334
    - -1.9524333531573475
    - -2.4698552023522997
    - -2.9451324516076665
    - -3.3592039982426614
    - -3.694700183658533
    - -3.9366905271212675
    - -4.073345566987598
    - -4.096482774351976
    - -4.001970981370245
    - -3.789973457793749
    - -3.465016446392042
    - -3.035877353488444
    - -2.515294569350241
    - -1.9195087246560103
    - -1.2676527239730626
    - -0.5810147913338447
    - 0.11779530543648843
    - 0.8057420011143728
    - 1.4602835977604933
    - 2.0602762469048215
    - 2.586822853266198
    - 3.0240294834995574
    - 3.3596355581897517
    - 3.5854893760535704
    - 3.697847151667726
    - 3.6974814607768502
    - 3.5895934439265
    - 3.383531942681438
    - 3.0923315319222078
    - 2.7320897598155973
    - 2.321211420360194
    - 1.8795540001587712
    - 1.4275132490593136
    - 0.9850908765782846
    - 0.5709875038160379
    - 0.20176312286662237
    - -0.10889555522141872
    - -0.3507662402561904
    - -0.5175125125209906
    - -0.6069152565596514
    - -0.6209026589276172
    - -0.5653768985365043
    - -0.44984540305835835
    - -0.28687402145447255
    - -0.09138821196755172
    - 0.12014406480946478
    - 0.3306080097823876
    - 0.5231722762411549
    - 0.6822078523844856
    - 0.7941496132327529
    - 0.8482569779907145
    - 0.8372346298570771
    - 0.7576807492640936
    - 0.6103383892792729
    - 0.4001351067668266
    - 0.1360063077920113
    - -0.16949152617022115
    - -0.5007610163564861
    - -0.8399108895203352
    - -1.167634543154617
    - -1.46417785875109
    - -1.7103489020108837
    - -1.8885193890931458
    - -1.983567497388613
    - -1.9837138105790546
    - -1.8812068390570995
    - -1.672821453164837
    - -1.3601423976140425
    - -0.94961540824938
    - -0.452359831204523
    positive_zeros:
    - '0.07500527494715604688295289498701'
    - '0.964018436896238674879896646475144'
    - '2.52509188019800680677701282082705'
    - '3.60789519853199344109995103363128'
    - '4.05471347782454822569411054504964'
    - '4.84622531472751442601475059679562'
    - '5.78630272683835508259394967336960'
    - '6.87936630574805624582300260576282'
    - '7.43495403919853057234364166428405'
    - '7.87465601407067729129408992116940'
    prelabel: 2-3744-104.77-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.467722607884145
    root_angle: 0.7645837620090993
    root_number: -0.7387503979061972427325665582150306539226499335593193984 + 0.6739791165855476597422958399304907898822988009730289941*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.38229188100454964'
      prec: 64
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.07500527494715604688295289499'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.964018436896238674879896646475'
      prec: 107
    z3:
      __RealLiteral__: 0
      data: '2.52509188019800680677701282083'
      prec: 103
- - algebraic: true
    analytic_conductor: 29.89599051676739
    bad_primes:
    - 2
    - 3
    - 13
    central_character: '104.77'
    conductor: 3744
    conductor_radical: 78
    degree: 2
    id: 23567966
    index: 3
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/3744/2/m/h/1585/4
    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: 2-3744-104.77-c1-0-3
    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: 2-3744-104.77-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.467722607884145
    root_angle: 0.38229188100454964
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.07500527494715604688295289499'
      prec: 103
- - Lhash: '95080481807045740135088458822'
    Lhash_array:
    - '95080481807045740135088458822'
    id: 23947978
    label: 2-3744-104.77-c1-0-3
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/3744/2/m/h/1585/4
label_cols:
- label
- label
- label
labels:
- 2-3744-104.77-c1-0-3
- 2-3744-104.77-c1-0-3
- 2-3744-104.77-c1-0-3
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T14:30:03.268922'