data:
- - Lhash: '3213066494861240381872335635692'
    a10:
    - 0.0
    - 0.0
    a2:
    - 0.0
    - 0.0
    a3:
    - 1.2806424167237394
    - -0.7393792440311038
    a4:
    - 0.0
    - 0.0
    a5:
    - 0.49408554501111773
    - -2.1807978985250025
    a6:
    - 0.0
    - 0.0
    a7:
    - 1.5663072283227175
    - -2.7129236997173325
    a8:
    - 0.0
    - 0.0
    a9:
    - -0.40663666699198686
    - 0.7043153674505875
    accuracy: 100
    algebraic: true
    analytic_conductor: 2.076110452553291
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - -0.49408554501111773
          - 2.1807978985250025
    - - 13
      - - - 1.0
          - 0
        - - 2.445123046581976
          - 2.6497874041276734
    bad_primes:
    - 2
    - 5
    - 13
    central_character: '260.49'
    coefficient_field: CDF
    conductor: 260
    conductor_radical: 130
    conjugate: '1762950182830027068289790363552'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - -1.2806424167237394
        - 0.7393792440311038
      - - 1.5
        - -2.598076211353316
    - - - 1.0
        - 0
      - - -0.49408554501111773
        - 2.1807978985250025
    - - - 1.0
        - 0
      - - -1.5663072283227175
        - 2.7129236997173325
      - - -3.5
        - -6.06217782649107
    - - - 1.0
        - 0
      - - 4.011758948422133
        - -2.316190108795409
      - - 5.5
        - -9.526279441628825
    - - - 1.0
        - 0
      - - 2.445123046581976
        - 2.6497874041276734
    - - - 1.0
        - 0
      - - -5.870208829928915
        - -3.389166648158777
      - - 8.5
        - 14.722431864335457
    - - - 1.0
        - 0
      - - -1.454416188113353
        - -0.8397075777209938
      - - 9.5
        - 16.454482671904334
    - - - 1.0
        - 0
      - - -4.79118063151479
        - 2.766189427341185
      - - 11.5
        - -19.91858428704209
    - - - 1.0
        - 0
      - - -3.870616094292754
        - -6.704103731908859
      - - -14.5
        - 25.11473670974872
    - - - 1.0
        - 0
      - - 0
        - 1.4612663870280647
      - - -31.0
        - 0
    - - - 1.0
        - 0
      - - -3.7257654633057156
        - -6.453215079530898
      - - -18.5
        - 32.04293994002423
    - - - 1.0
        - 0
      - - -4.789011709706874
        - 2.7649371997515337
      - - 20.5
        - -35.50704155516198
    - - - 1.0
        - 0
      - - 10.770744733206682
        - 6.218492371089622
      - - 21.5
        - 37.239092362730865
    - - - 1.0
        - 0
      - - 1.976342180044471
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -5.658651445861689
      - - -53.0
        - 0
    - - - 1.0
        - 0
      - - -2.277252761284741
        - -1.3147724947405637
      - - 29.5
        - 51.09549882328188
    - - - 1.0
        - 0
      - - 4.870616094292754
        - -8.436154539477736
      - - -30.5
        - -52.827549630850754
    - - - 1.0
        - 0
      - - 0.3177760051751163
        - 0.5504041863895719
      - - -33.5
        - 58.023702053557386
    - - - 1.0
        - 0
      - - 12.008921710682834
        - 6.933354182339876
      - - 35.5
        - 61.48780366869514
    - - - 1.0
        - 0
      - - 4.890246093163952
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 6.210244562860293
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - -3.3307453799437607
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - 2.277252761284741
        - -1.3147724947405637
      - - 44.5
        - -77.07626093681505
    - - - 1.0
        - 0
      - - -3.1394209717479606
        - 5.437636629414725
      - - -48.5
        - -84.00446416709055
    - - - 1.0
        - 0
      - - -8.41839561541412
        - -14.581088924112322
      - - -50.5
        - 87.4685657822283
    - - - 1.0
        - 0
      - - 0
        - 9.862122863621288
      - - -103.0
        - 0
    - - - 1.0
        - 0
      - - 3.5309577600986275
        - -2.038599413290141
      - - 53.5
        - -92.66471820493493
    - - - 1.0
        - 0
      - - 0
        - 11.676156656248839
      - - -109.0
        - 0
    - - - 1.0
        - 0
      - - 3.3089239964814365
        - 1.9104081600965697
      - - 56.5
        - 97.86087062764156
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 9757372
    index: 7
    label: 2-260-65.49-c1-0-7
    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/260/2/z/a/49/6
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 1.596601289215852
    - 1.6882801944594465
    - 1.792222240255683
    - 1.9073776311480823
    - 2.029964524781481
    - 2.1538941202471062
    - 2.2713329177228205
    - 2.373301693127235
    - 2.4502818922644236
    - 2.492842894748367
    - 2.4923107057490963
    - 2.4414831355612225
    - 2.3353724500519313
    - 2.1719324877068416
    - 1.952707620499446
    - 1.6833278527874418
    - 1.3737692659165817
    - 1.038303144171195
    - 0.695071359223892
    - 0.3652502345604324
    - 0.0717995152481527
    - -0.1621645988923759
    - -0.3152862820012306
    - -0.37004321238190563
    - -0.3148000328325489
    - -0.14563485979035032
    - 0.13228267465279162
    - 0.5039753776764254
    - 0.944784297495296
    - 1.4214558549940128
    - 1.894224871705233
    - 2.319824229667707
    - 2.6552382581835783
    - 2.861905560531168
    - 2.9099818883813406
    - 2.7822093281921716
    - 2.4769175963403693
    - 2.009716387986433
    - 1.4135289391193258
    - 0.7367638677503855
    - 0.039614897874110065
    - -0.6113014476997913
    - -1.1495358373181785
    - -1.5159897956714048
    - -1.6659133365969345
    - -1.574871522389232
    - -1.2428692596786237
    - -0.6959661255551601
    - 0.015041590133958707
    - 0.8189662775530766
    - 1.6313198529018638
    - 2.3634884877315625
    - 2.932998801461807
    - 3.2736521784755057
    - 3.3442160354245285
    - 3.1344438437603754
    - 2.667455773425901
    - 1.9979301761127657
    - 1.2060886932597135
    - 0.38803881676598523
    - -0.3564127175609972
    - -0.9369278910973335
    - -1.2849944549122534
    - -1.36367890229554
    - -1.17324643661498
    - -0.7516312852412916
    - -0.16944378460464932
    - 0.4799978581535923
    - 1.0943397099488785
    - 1.5776552585579895
    - 1.8553996268112072
    - 1.8865037390980128
    - 1.6705760622867527
    - 1.2488448843403401
    - 0.6984038987517538
    - 0.12038549732621551
    - -0.37628577720848205
    - -0.6930858860941304
    - -0.7590940327521023
    - -0.5442696065528696
    - -0.06636277526368042
    - 0.6100409353559838
    - 1.3825854570908402
    - 2.1271848023118642
    - 2.7186385277957785
    - 3.05249140219648
    - 3.064400032930345
    - 2.743491899404436
    - 2.1370562241280715
    - 1.345280845297018
    - 0.506433154613963
    - -0.2254054805638412
    - -0.706509212715247
    - -0.8291588598422812
    - -0.5422185568771509
    - 0.13723835589259228
    - 1.1237143065711686
    - 2.2750091804264923
    - 3.4142796914602487
    - 4.358904090144246
    - 4.95124644510392
    - 5.085884975311212
    - 4.728322777955655
    - 3.921597596497721
    - 2.7793286454513164
    - 1.4662117139638526
    - 0.1693413040593041
    - -0.9344588500733804
    - -1.709248932502417
    - -2.0827562315211563
    - -2.0569594043269355
    - -1.7044047872135142
    - -1.1509568349213528
    - -0.5483899796216561
    - -0.04232149599511405
    - 0.2579816278448207
    - 0.301662920719006
    - 0.10551694155212603
    - -0.2516850664059113
    - -0.6487706030660628
    - -0.9516347125152034
    - -1.046351120401367
    - -0.8686869749326863
    - -0.4233114330532568
    - 0.2120164611021124
    - 0.8989001015109953
    - 1.4654416600158293
    - 1.7428011254671234
    - 1.60360957167791
    - 0.993903903462694
    - -0.048735960940441206
    - -1.3955157694368245
    - -2.846106410690302
    - -4.164417985371552
    - -5.123601451702931
    - -5.551141527364015
    - -5.364528663306708
    - -4.589674195622015
    - -3.357673935774999
    - -1.8800422821699034
    - -0.40717640124441357
    - 0.8214507632251599
    - 1.6248862287237615
    - 1.9158675271303207
    - 1.715884521770521
    - 1.146742933049386
    - 0.40038493021159866
    - -0.30641701419501405
    - -0.7824064524087667
    - -0.9058864970212446
    - -0.6524164860654804
    - -0.099735946090523
    - 0.5913505053715371
    - 1.215850359815956
    - 1.5742973776469809
    - 1.5217294228685283
    - 1.0043740810095965
    - 0.07522424808654465
    - -1.1154426543204772
    - -2.3526532309792927
    - -3.4049508836152578
    - -4.076908067103177
    - -4.253427319762912
    - -3.925135072672149
    - -3.1886145777794557
    - -2.2212714331338153
    - -1.2368345114627228
    - -0.4323449705193831
    - 0.06025227654819473
    - 0.20574997605437803
    - 0.0723936082323289
    - -0.18834878587477433
    - -0.3841867491225821
    - -0.33604343260251784
    - 0.07004918172357534
    - 0.8468054755345797
    - 1.8952634434254705
    - 3.023761254673877
    - 3.9925536658862457
    - 4.573583653027058
    - 4.610645849971017
    - 4.064516719317848
    - 3.0308711538557245
    - 1.7252605267950774
    - 0.4375561919924771
    - -0.5339484299609006
    - -0.9531258548180933
    - -0.7039724608424233
    - 0.17872813498046417
    - 1.5142743669440184
    - 3.0160232659454116
    - 4.357295565659411
    - 5.247413318348992
    - 5.4993245336994665
    - 5.07216563816649
    - 4.078252740553937
    - 2.752871168686806
    - 1.394606302376242
    - 0.2914154457136472
    - -0.3487727535452397
    - -0.44540024267002265
    - -0.05884527026258612
    - 0.6326234439461443
    - 1.3857101150292437
    - 1.9601536999391724
    - 2.183449901862272
    - 1.994762995415375
    - 1.4563611777053351
    - 0.7299111833436418
    - 0.024736167531801714
    - -0.46700304157564965
    - -0.6294952577475666
    - -0.4595865544799478
    - -0.06930386336533602
    - 0.3467705977348582
    - 0.5705216519105177
    - 0.4291104002202816
    - -0.14636318019730635
    - -1.0900096247112512
    - -2.208402881429421
    - -3.225685801253668
    - -3.8554510768842505
    - -3.880259849922364
    - -3.2167264620853033
    - -1.9472799294616443
    - -0.3083086511618192
    - 1.363840460435753
    - 2.7158051974034336
    - 3.4674753333790824
    - 3.485313107755658
    - 2.818461370597265
    - 1.6870887413317908
    - 0.4252729187391155
    - -0.6068010521693679
    - -1.1179368095660784
    - -0.9626482881627763
    - -0.17863822700346552
    - 1.0251931580064142
    - 2.326855228449879
    - 3.379393479379627
    - 3.904629759676716
    - 3.766616312945194
    - 3.0046981167662503
    - 1.8175589516767132
    - 0.503548311531777
    - -0.6250291711576966
    - -1.3287028818910205
    - -1.5036975793100567
    - -1.2030817468344492
    - -0.6108253306468182
    - 0.02263721569910448
    - 0.46331762992298725
    - 0.5695623345380616
    - 0.3375702018700042
    - -0.09761679432239097
    - -0.5062586505039636
    - -0.6399334286974284
    positive_zeros:
    - '2.53466254367154156400357350345964'
    - '3.19616979682000423996245737328129'
    - '5.00723978744851734371439121063015'
    - '5.99755752478803032633209359645649'
    - '7.43759888736132882097175982163637'
    - '8.283072318639036894848256295699822'
    - '9.402596539298581102258109828644282'
    - '10.01376977077373152380561606512190'
    - '11.33285005438595275246725133522677'
    - '11.85423363661143291881108983368064'
    prelabel: 2-260-65.49-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.4408714212424685
    root_angle: 0.3377812571529303
    root_number: 0.4878501173909118 + 0.8729274099039814*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.168890628576'
      prec: 47
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '2.53466254367154156400357350346'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '3.19616979682000423996245737328'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '5.00723978744851734371439121063'
      prec: 103
- - algebraic: true
    analytic_conductor: 2.076110452553291
    bad_primes:
    - 2
    - 5
    - 13
    central_character: '65.49'
    conductor: 260
    conductor_radical: 130
    degree: 2
    id: 9757372
    index: 7
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/260/2/z/a/49/6
    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: 2-260-65.49-c1-0-7
    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: 2-260-65.49-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.4408714212424685
    root_angle: 0.16889062857646514
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '2.53466254367154156400357350346'
      prec: 103
- - Lhash: '3213066494861240381872335635692'
    Lhash_array:
    - '3213066494861240381872335635692'
    id: 10123399
    label: 2-260-65.49-c1-0-7
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/260/2/z/a/49/6
label_cols:
- label
- label
- label
labels:
- 2-260-65.49-c1-0-7
- 2-260-65.49-c1-0-7
- 2-260-65.49-c1-0-7
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T21:38:37.548140'