data:
- - Lhash: '1815153695810543634391494101167'
    a10:
    - 0.0
    - 0.0
    a2:
    - 0.0
    - 0.0
    a3:
    - 1.870457325374555
    - 0.0
    a4:
    - 0.0
    - 0.0
    a5:
    - 2.8330093353334984
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - 3.8330093353334984
    - 0.0
    a8:
    - 0.0
    - 0.0
    a9:
    - 0.4986106060473333
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 26.701974435916174
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 11
      - - - 1.0
          - 0
        - - -1.0
          - 0
    - - 19
      - - - 1.0
          - 0
        - - 1.0
          - 0
    bad_primes:
    - 2
    - 11
    - 19
    central_character: '3344.1'
    coefficient_field: CDF
    conductor: 3344
    conductor_radical: 418
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -1.870457325374555
        - 0
      - - 3.0
        - 0
    - - - 1.0
        - 0
      - - -2.8330093353334984
        - 0
      - - 5.0
        - 0
    - - - 1.0
        - 0
      - - -3.8330093353334984
        - 0
      - - 7.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - -6.128758607202428
        - 0
      - - 13.0
        - 0
    - - - 1.0
        - 0
      - - 3.7087418693028615
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - 1.0180695620100295
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - 3.5680530703405844
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - -5.299023064129041
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - -1.6878935193874987
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - 6.711096561402652
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - -3.598577622708443
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - -6.484608089403553
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - 6.349689503390861
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - 10.813270935684997
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 0.743693438654443
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - 2.0757374758408176
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - -2.6568739626648625
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - 11.083680716466773
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - -1.8158106308312225
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 12.141617084805718
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 1.5134063757972522
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - 13.390051314074555
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - 18.441706583573634
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - -13.46617855577605
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - -16.371981752064524
        - 0
      - - 107.0
        - 0
    - - - 1.0
        - 0
      - - -7.607408990779221
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - 10.004562049721025
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 19673806
    index: 62
    label: 2-3344-1.1-c1-0-62
    leading_term: '4.33472335686222001887174398870'
    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/3344/2/a/z/1/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.05078125'
      prec: 34
    plot_values:
    - 4.33472335686222
    - 4.329541554071085
    - 4.313883129682485
    - 4.287417183287047
    - 4.2496188268937
    - 4.19980725889335
    - 4.13719560149382
    - 4.060949509701102
    - 3.97025127300645
    - 3.8643661141473244
    - 3.7427075859575503
    - 3.604899304294762
    - 3.450830660821359
    - 3.280704576758273
    - 3.0950757504047655
    - 2.8948781998762145
    - 2.681441206716925
    - 2.4564930347358893
    - 2.222152045521382
    - 1.9809050722426809
    - 1.7355731589684185
    - 1.489265032431278
    - 1.2453189511270382
    - 1.0072338726506052
    - 0.7785911901025713
    - 0.5629686048064666
    - 0.3638480154290906
    - 0.1845196009926738
    - 0.02798454413235685
    - -0.10314093229650835
    - -0.2067173709681327
    - -0.28116678097507714
    - -0.325547263342108
    - -0.33961465645560146
    - -0.3238684586609299
    - -0.2795795475742459
    - -0.20879757917083583
    - -0.1143364117364205
    - 0.0002635462327249286
    - 0.13079652957176272
    - 0.27247591411089345
    - 0.4200410292805685
    - 0.5678845168843736
    - 0.710197684238641
    - 0.8411305399704007
    - 0.9549624920034766
    - 1.046279058243534
    - 1.1101494193604693
    - 1.142299256514257
    - 1.1392730889066824
    - 1.0985802769570296
    - 1.0188190021803962
    - 0.8997728841970972
    - 0.7424754518042628
    - 0.5492384445023079
    - 0.32364087138442305
    - 0.07047687607715902
    - -0.20433827809375255
    - -0.49390341424842976
    - -0.7905057093550388
    - -1.0858304309924385
    - -1.3712011207123775
    - -1.6378438551450016
    - -1.877168009158072
    - -2.081054930979388
    - -2.2421451669413246
    - -2.354114387514715
    - -2.411928002966719
    - -2.412064643043021
    - -2.3526992259009774
    - -2.2338372597001332
    - -2.057393294626321
    - -1.8272080482525277
    - -1.5490006233410507
    - -1.2302543711223761
    - -0.8800372589160053
    - -0.5087600021275229
    - -0.1278776321851037
    - 0.2504574967273412
    - 0.6137811012138015
    - 0.9497287085678586
    - 1.2464601481945425
    - 1.4930820892409138
    - 1.6800533051855642
    - 1.799557279146331
    - 1.8458272753875304
    - 1.815410103668649
    - 1.7073564816833267
    - 1.5233281213330996
    - 1.2676143679151954
    - 0.9470543259852561
    - 0.5708638097911237
    - 0.15037004048047825
    - -0.30133935599533457
    - -0.7698429587573753
    - -1.2398743796082157
    - -1.6958570014810286
    - -2.122465919881033
    - -2.5051966142347455
    - -2.830918846249505
    - -3.0883940623890376
    - -3.2687352120662676
    - -3.3657893937265557
    - -3.376426083991743
    - -3.3007168308208117
    - -3.1419961053462147
    - -2.9067973808681358
    - -2.6046632845487148
    - -2.2478336669684915
    - -1.8508204590077697
    - -1.429883027074103
    - -1.0024221880040731
    - -0.5863149033387757
    - -0.19921475524970653
    - 0.1421545451659031
    - 0.42268427703709116
    - 0.6295161701183146
    - 0.7526011563494733
    - 0.7851567700034381
    - 0.7240020710116054
    - 0.5697534807081068
    - 0.32687027166439037
    - 0.003544441382420173
    - -0.3885639138932311
    - -0.8347380873718472
    - -1.317749095885914
    - -1.8185128912940527
    - -2.3168352260828704
    - -2.79221464552787
    - -3.224670941342972
    - -3.595564604104773
    - -3.888372472163307
    - -4.089385949863158
    - -4.1883008478724655
    - -4.178672005096161
    - -4.058211239751205
    - -3.8289136386712594
    - -3.4970044654637453
    - -3.0727067414807907
    - -2.5698374882607236
    - -2.0052483583744594
    - -1.3981335644991468
    - -0.7692343006534805
    - -0.13997392370518522
    - 0.4684382357404616
    - 1.0358946375129905
    - 1.5442289516798249
    - 1.9779689395940074
    - 2.3249681357141734
    - 2.5768868853917044
    - 2.7294999805648703
    - 2.782816006570095
    - 2.741002218280951
    - 2.6121179026293624
    - 2.407668326321511
    - 2.1420000704180833
    - 1.8315663860435718
    - 1.4940977684178365
    - 1.1477178928180707
    - 0.8100481103284101
    - 0.497344674533363
    - 0.22371167256321514
    - 0.0004292809351435691
    - -0.16456841765003005
    - -0.26703900727750723
    - -0.3065823168511559
    - -0.2865873534409895
    - -0.21397727520137258
    - -0.09876450802202079
    - 0.04656191406438917
    - 0.20778569299273675
    - 0.36981063938402153
    - 0.5175617220435289
    - 0.6368919495086204
    - 0.7154461781360455
    - 0.7434344212610767
    - 0.7142712341808519
    - 0.6250441176478677
    - 0.4767823382559961
    - 0.2745077112539911
    - 0.02706023482798527
    - -0.2532965658711369
    - -0.5514737499295054
    - -0.8503303423316816
    - -1.1315836963430215
    - -1.3768102545357084
    - -1.5684841331276742
    - -1.6909976370912738
    - -1.7316074166769437
    - -1.681252594638632
    - -1.5351967640578212
    - -1.293454056196831
    - -0.9609701311589226
    - -0.547541439985853
    - -0.06746982133155037
    - 0.46103627698773664
    - 1.0166886738971637
    - 1.576136162819737
    - 2.115121523265806
    - 2.6097204237067038
    - 3.0375978379309454
    - 3.3792149491641443
    - 3.618920414902461
    - 3.745864354077655
    - 3.7546813470190123
    - 3.6458997675696057
    - 3.426048378585252
    - 3.107446646308233
    - 2.7076818741083457
    - 2.2487931490594293
    - 1.7561983273988224
    - 1.25741496179913
    - 0.7806383616058622
    - 0.35324915329969914
    - 0.00032820084839618735
    - -0.2567418302477182
    - -0.4015117973637289
    - -0.42346882621937426
    - -0.3187479095359784
    - -0.0905080844424894
    - 0.2510541006897077
    - 0.6890623077456821
    - 1.2006781427605095
    - 1.7581482821380396
    - 2.3301321990852646
    - 2.8832458129764955
    - 3.383743695828866
    - 3.7992537302659586
    - 4.100473871580446
    - 4.262741234582816
    - 4.267389155951405
    - 4.102817959106584
    - 3.765219394554707
    - 3.2589124281564734
    - 2.5962682830478627
    - 1.7972243321706507
    - 0.8884084133463974
    - -0.09808381075180404
    - -1.12619687442717
    - -2.157631562457061
    - -3.153679954384915
    - -4.077083509039587
    - -4.893816545193761
    - -5.574701143414717
    - -6.0967683711408
    - -6.444294366101346
    - -6.609457475338042
    - -6.592583373774328
    - -6.401967727771251
    - -6.053289254231667
    - -5.568648633859968
    - -4.975289373806329
    - -4.304074187681409
    - -3.5878037500067523
    - -2.8594730020450787
    - -2.1505630341938944
    - -1.4894637601866023
    positive_zeros:
    - '1.43190378759237055537892297456071'
    - '1.92957895989215285813473565453915'
    - '2.85711174793307199484108071880671'
    - '3.92719954471507299255435539367780'
    - '4.68909437009930878556763349812636'
    - '5.76692882760851629555477482289551'
    - '6.19581209991098071507790604596016'
    - '7.27318766235173818187019682961902'
    - '8.226674235382473632492461053914480'
    - '8.566586289116982170861515972937731'
    prelabel: 2-3344-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.167395324137313
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.43190378759237055537892297456'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.92957895989215285813473565454'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.85711174793307199484108071881'
      prec: 103
- - algebraic: true
    analytic_conductor: 26.701974435916174
    bad_primes:
    - 2
    - 11
    - 19
    central_character: '1.1'
    conductor: 3344
    conductor_radical: 418
    degree: 2
    id: 19673806
    index: 62
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/3344/2/a/z/1/4
    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: 2-3344-1.1-c1-0-62
    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: 2-3344-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.167395324137313
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.43190378759237055537892297456'
      prec: 103
- - Lhash: '1815153695810543634391494101167'
    Lhash_array:
    - '1815153695810543634391494101167'
    id: 20045128
    label: 2-3344-1.1-c1-0-62
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/3344/2/a/z/1/4
label_cols:
- label
- label
- label
labels:
- 2-3344-1.1-c1-0-62
- 2-3344-1.1-c1-0-62
- 2-3344-1.1-c1-0-62
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T12:37:05.465057'