data:
- - Lhash: '1984248322136723752718232358919'
    a10:
    - 0.0
    - 0.0
    a2:
    - 0.0
    - 0.0
    a3:
    - -1.0
    - 0.0
    a4:
    - 0.0
    - 0.0
    a5:
    - -1.0
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - 4.465693822431187
    - 0.0
    a8:
    - 0.0
    - 0.0
    a9:
    - 1.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 22.0387109578734
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 1.0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 1.0
          - 0
    - - 23
      - - - 1.0
          - 0
        - - -1.0
          - 0
    bad_primes:
    - 2
    - 3
    - 5
    - 23
    central_character: '2760.1'
    coefficient_field: CDF
    conductor: 2760
    conductor_radical: 690
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - 1.0
        - 0
    - - - 1.0
        - 0
      - - -4.465693822431187
        - 0
      - - 7.0
        - 0
    - - - 1.0
        - 0
      - - -3.394125634627469
        - 0
      - - 11.0
        - 0
    - - - 1.0
        - 0
      - - 4.705649410613527
        - 0
      - - 13.0
        - 0
    - - - 1.0
        - 0
      - - 6.548295681072598
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - 6.225738234248847
        - 0
      - - 19.0
        - 0
    - - - 1.0
        - 0
      - - -1.0
        - 0
    - - - 1.0
        - 0
      - - -0.4485206358316018
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - 5.154170046445129
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 5.985782646066507
        - 0
      - - 37.0
        - 0
    - - - 1.0
        - 0
      - - -3.071568187803718
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 4.47991117636468
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - -6.225738234248847
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - 2.591657011439038
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - 1.5514793641683982
        - 0
      - - 59.0
        - 0
    - - - 1.0
        - 0
      - - 4.914214458262789
        - 0
      - - 61.0
        - 0
    - - - 1.0
        - 0
      - - -6.085557691307503
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - -1.071568187803718
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - 8.705649410613526
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 13.139952692511637
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 13.028206857437278
        - 0
      - - 83.0
        - 0
    - - - 1.0
        - 0
      - - -11.619863868876315
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - -4.308340092890258
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - -10.339730633423336
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 10.831612599621378
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - 1.76004441181766
        - 0
      - - 107.0
        - 0
    - - - 1.0
        - 0
      - - 1.394125634627469
        - 0
      - - 109.0
        - 0
    - - - 1.0
        - 0
      - - -1.1713432330447144
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 20079390
    index: 35
    label: 2-2760-1.1-c1-0-35
    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: 1
    origin: ModularForm/GL2/Q/holomorphic/2760/2/a/v/1/4
    plot_delta:
      __RealLiteral__: 0
      data: '0.05078125'
      prec: 34
    plot_values:
    - -1.1370372641482613e-60
    - 0.1518719277607749
    - 0.3032948512967328
    - 0.4537772736027746
    - 0.6027454235373005
    - 0.7495086827460061
    - 0.8932323225798657
    - 1.0329191360534027
    - 1.1674009811781825
    - 1.295340695862707
    - 1.4152443492514992
    - 1.5254833865535844
    - 1.624325910075239
    - 1.7099761087745387
    - 1.7806206839375094
    - 1.8344809989523714
    - 1.869869588401623
    - 1.8852495825669968
    - 1.8792955305614854
    - 1.850954036736813
    - 1.7995025632258697
    - 1.7246047020090065
    - 1.626360190085085
    - 1.5053479392291327
    - 1.3626603852943069
    - 1.1999275380773962
    - 1.0193292370691296
    - 0.8235942948873204
    - 0.6159854407959722
    - 0.4002692612428358
    - 0.1806706703322871
    - -0.0381881741871534
    - -0.251364171564101
    - -0.4536840048270569
    - -0.6398480315378061
    - -0.8045455987172176
    - -0.9425795731847167
    - -1.0489974339930448
    - -1.119225869889979
    - -1.149205478372752
    - -1.135521890098511
    - -1.0755294583632622
    - -0.9674635716429139
    - -0.810537679161044
    - -0.6050212736517101
    - -0.3522953571035606
    - -0.05488232564893817
    - 0.2835522539736508
    - 0.6582278491565404
    - 1.0633082587593166
    - 1.4919922630354439
    - 1.9366349656136612
    - 2.3888982022836194
    - 2.8399274108198616
    - 3.2805513908903516
    - 3.7015004662215074
    - 4.093637726454013
    - 4.448197307046486
    - 4.757023094175214
    - 5.012800847070135
    - 5.209276537820443
    - 5.341453738337747
    - 5.405763149493508
    - 5.400197874757086
    - 5.324408788191813
    - 5.179755324076376
    - 4.969308203545524
    - 4.6978019845833074
    - 4.371536839217109
    - 3.998230582036074
    - 3.586823646891902
    - 3.1472413784629234
    - 2.690119613542684
    - 2.226501013315681
    - 1.767510913108892
    - 1.324022523765326
    - 0.9063220977879478
    - 0.5237851202220224
    - 0.1845746650275225
    - -0.10462724986005828
    - -0.33884518066468466
    - -0.5149836185326646
    - -0.6319406323819508
    - -0.6906560407641645
    - -0.6940904549411885
    - -0.6471338552855986
    - -0.5564448325877478
    - -0.43022416015866055
    - -0.27792887009594636
    - -0.10993539231999157
    - 0.0628375176506413
    - 0.229333478868622
    - 0.378776767242309
    - 0.5010891401848977
    - 0.5872896977400075
    - 0.6298623774352179
    - 0.623076373747765
    - 0.5632460562203954
    - 0.4489188086701705
    - 0.280981577798487
    - 0.0626797322538124
    - -0.2004549988540031
    - -0.5007673259413166
    - -0.8287282222175394
    - -1.1732645371788233
    - -1.5221578057414176
    - -1.8624985940925978
    - -2.1811800912626738
    - -2.465412578972398
    - -2.703238997496452
    - -2.8840311555484504
    - -2.9989462638897586
    - -3.0413244311570335
    - -3.00700953878892
    - -2.8945784680530315
    - -2.7054669100357707
    - -2.4439838406154184
    - -2.1172110491555163
    - -1.734788709463681
    - -1.3085926931056886
    - -0.8523139551321902
    - -0.3809546731591501
    - 0.08974030085312669
    - 0.5438948916376757
    - 0.9661319579513267
    - 1.3421964918325542
    - 1.6595457672567757
    - 1.9078810114156428
    - 2.0795969404877157
    - 2.170128334753358
    - 2.178176638979044
    - 2.1058042310734817
    - 1.958389331206586
    - 1.744440315224058
    - 1.4752742127611915
    - 1.1645701560457655
    - 0.827814236371408
    - 0.4816573617913619
    - 0.1432120474559596
    - -0.17068260797423054
    - -0.4441963795504696
    - -0.6632116268143768
    - -0.8159636821725731
    - -0.8935883652059637
    - -0.890550468501314
    - -0.8049317199238145
    - -0.6385624759408083
    - -0.3969880137789988
    - -0.08926749326979302
    - 0.27238885713454086
    - 0.6731313436125976
    - 1.0961111727254402
    - 1.5232232376447388
    - 1.9359197026796684
    - 2.3160587909087282
    - 2.646750733828943
    - 2.91316207910082
    - 3.103240555181041
    - 3.208325462667325
    - 3.223613021868699
    - 3.148452093457631
    - 2.986452966711281
    - 2.7454001729122246
    - 2.4369691698254874
    - 2.076255856802505
    - 1.68113679690726
    - 1.27148631779161
    - 0.868283929691712
    - 0.49265136725903746
    - 0.16486271875862954
    - -0.09662668864361681
    - -0.2760868785189396
    - -0.3613115819816452
    - -0.34426883094735883
    - -0.22157040135441972
    - 0.005265416002694296
    - 0.32977399198282165
    - 0.7407335393571421
    - 1.222578633031706
    - 1.7560226901071414
    - 2.31886383483351
    - 2.886939404967171
    - 3.4351866803707924
    - 3.9387616364084996
    - 4.374163964541879
    - 4.720315479549101
    - 4.959540450807091
    - 5.07840033471945
    - 5.0683417019845285
    - 4.926124581223603
    - 4.654008603074304
    - 4.259685755312666
    - 3.7559607060555424
    - 3.1601919275499983
    - 2.4935186479919693
    - 1.77990937579742
    - 1.0450768250147862
    - 0.31531103923783443
    - -0.3837130203055677
    - -1.0280954536519398
    - -1.596782189805059
    - -2.0724938325128273
    - -2.4424666527280903
    - -2.6989689801992744
    - -2.839567398053053
    - -2.8671297168130874
    - -2.7895650683507403
    - -2.619314934004638
    - -2.3726218053227806
    - -2.0686137902949255
    - -1.7282531974082271
    - -1.3732044184641217
    - -1.0246808723015133
    - -0.7023320926853535
    - -0.42323013313894964
    - -0.2010093782393257
    - -0.04520582419999866
    - 0.039168687639619386
    - 0.05179439783921529
    - -0.003055207750283102
    - -0.11687333184302721
    - -0.27752079570301347
    - -0.4700343740797193
    - -0.677597149597382
    - -0.8826160740646691
    - -1.0678454181812223
    - -1.217491609482997
    - -1.3182353288069444
    - -1.3601106941434729
    - -1.337188746061813
    - -1.2480229069277675
    - -1.0958270859381212
    - -0.8883719614808966
    - -0.6376008930070849
    - -0.35898302356057676
    - -0.07063653108646961
    - 0.20773120638910356
    - 0.4560083559066308
    - 0.6549217827375183
    - 0.787267395541659
    - 0.8390557028561924
    - 0.8005039057070321
    - 0.6668131210877027
    - 0.43868023443779397
    - 0.12250787340457535
    - -0.26970764808665093
    - -0.7208127236100718
    - -1.209241143616889
    - -1.7100332074708722
    - -2.196079093214786
    - -2.6395225196692467
    - -3.0132502577089704
    - -3.2923865524022577
    - -3.455709452648649
    - -3.486908615292898
    - -3.375611302799967
    - -3.1181147126205135
    positive_zeros:
    - '1.56529592758404973736493147686989'
    - '2.34458977486626211746305060890797'
    - '3.99224650779977918821725671012471'
    - '4.55180035448100883605421666169235'
    - '5.09098790663885614863503406183130'
    - '6.18554474053802302852025575364515'
    - '7.03033377115956082779424559305566'
    - '7.52880888997681561854552068596749'
    - '8.612287802091070089948138424636773'
    prelabel: 2-2760-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.694540548112605
    root_angle: 1.0
    root_number: '-1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.56529592758404973736493147687'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.34458977486626211746305060891'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.99224650779977918821725671012'
      prec: 103
- - algebraic: true
    analytic_conductor: 22.0387109578734
    bad_primes:
    - 2
    - 3
    - 5
    - 23
    central_character: '1.1'
    conductor: 2760
    conductor_radical: 690
    degree: 2
    id: 20079390
    index: 35
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2760/2/a/v/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: 2-2760-1.1-c1-0-35
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 1
    prelabel: 2-2760-1.1-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.694540548112605
    root_angle: 0.5
    self_dual: true
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.56529592758404973736493147687'
      prec: 103
- - Lhash: '1984248322136723752718232358919'
    Lhash_array:
    - '1984248322136723752718232358919'
    id: 20479757
    label: 2-2760-1.1-c1-0-35
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2760/2/a/v/1/4
label_cols:
- label
- label
- label
labels:
- 2-2760-1.1-c1-0-35
- 2-2760-1.1-c1-0-35
- 2-2760-1.1-c1-0-35
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T17:45:22.480548'