data:
- - Lhash: '850556522980497860643219475093'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - 0
    - 0
    a4:
    - 0
    - 0
    a5:
    - -1.597329120398448
    - 0
    a6:
    - 0
    - 0
    a7:
    - 0
    - -1.1641769178978976
    a8:
    - 0
    - 0
    a9:
    - 0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 41.394448407831774
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    bad_primes:
    - 2
    - 3
    central_character: '5184.2591'
    coefficient_field: CDF
    conductor: 5184
    conductor_radical: 6
    conjugate: '797250117528450997932694109160'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 1.597329120398448
        - 0
      - - 5.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.1641769178978976
      - - -7.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.9809173184726043
      - - -11.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -0.1641769178978975
      - - -13.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -3.5782464388710524
      - - -17.0
        - 0
    - - - 1.0
        - 0
      - - -3.1641769178978976
        - 0
      - - 19.0
        - 0
    - - - 1.0
        - 0
      - - 1.2137409223242919
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - 4.983963711802774
        - 0
      - - 29.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -6.644692103833752
      - - -31.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.1037722745332252
      - - -37.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -2.025332168255928
      - - -41.0
        - 0
    - - - 1.0
        - 0
      - - -8.344767406593895
        - 0
      - - 43.0
        - 0
    - - - 1.0
        - 0
      - - -2.2173085188633572
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - -9.654607446779538
        - 0
      - - 53.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -0.8885200223668919
      - - -59.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 9.748464378366977
      - - -61.0
        - 0
    - - - 1.0
        - 0
      - - -3.9835864292019
        - 0
      - - 67.0
        - 0
    - - - 1.0
        - 0
      - - 12.804850837793111
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - -0.8798141546686749
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -2.9117896594774093
      - - -79.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 13.929762060550756
      - - -83.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -8.415013152990422
      - - -89.0
        - 0
    - - - 1.0
        - 0
      - - -4.316338268037957
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - 11.310303865294744
        - 0
      - - 101.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 2.0
      - - -103.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -19.430558519777655
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 10.77604188013545
      - - -109.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 4.4667664612379445
      - - -113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23327812
    index: 43
    label: 2-72e2-24.11-c1-0-43
    leading_term: '1.448042824608032663473569531869433691153973495922102559'
    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/5184/2/f/e/2591/5
    plot_delta:
      __RealLiteral__: 0
      data: '0.05078125'
      prec: 34
    plot_values:
    - 1.4480428246080326
    - 1.453429665362224
    - 1.440786161426282
    - 1.4097854345846381
    - 1.360059725990221
    - 1.2912337964682017
    - 1.2029710847485011
    - 1.0950296175718246
    - 0.9673241668323227
    - 0.8199909296090714
    - 0.6534510306911482
    - 0.468469357102083
    - 0.266205568940185
    - 0.0482545373824768
    - -0.18332609948045736
    - -0.4260031215300471
    - -0.676771057689091
    - -0.9321726125493401
    - -1.1883366734387626
    - -1.441033903774422
    - -1.6857494309713323
    - -1.9177716209450137
    - -2.1322954008931743
    - -2.3245380568109177
    - -2.48986490558146
    - -2.6239217404820825
    - -2.7227704930890364
    - -2.783024164882263
    - -2.801976779754898
    - -2.7777239148051573
    - -2.709269300072424
    - -2.5966130542126127
    - -2.4408173545210974
    - -2.2440457334259256
    - -2.0095727512283914
    - -1.7417615119113758
    - -1.446007354119617
    - -1.1286470450179273
    - -0.7968339060391535
    - -0.45838047559774536
    - -0.12157152803994228
    - 0.20504852094106663
    - 0.5129086293692292
    - 0.7936583037183572
    - 1.0394217471244185
    - 1.2430510576951292
    - 1.3983700468807139
    - 1.5004000086629288
    - 1.5455588280794499
    - 1.5318251926533453
    - 1.4588603721932947
    - 1.3280810586752791
    - 1.1426780930942075
    - 0.9075775215326908
    - 0.6293422762552113
    - 0.3160148148633715
    - -0.023096794401786525
    - -0.37768465557793396
    - -0.7367518528867787
    - -1.0889594094404402
    - -1.4229987059642806
    - -1.7279771516671933
    - -1.9938037607197165
    - -2.2115605964552105
    - -2.373845856732569
    - -2.475074726398124
    - -2.511725035347311
    - -2.4825162304371564
    - -2.388512170437123
    - -2.233140735741321
    - -2.0221261360545153
    - -1.7633330055692498
    - -1.4665247832463648
    - -1.1430423573919848
    - -0.8054123697269405
    - -0.46689778003976407
    - -0.14100614419003546
    - 0.15902658175708284
    - 0.4207571545405854
    - 0.6330404944395962
    - 0.7864986730879643
    - 0.873933268213992
    - 0.8906624137121392
    - 0.8347662198141433
    - 0.7072273741990254
    - 0.5119575651656834
    - 0.2557047617022258
    - -0.05215881980516164
    - -0.39996322454834077
    - -0.7741718924512948
    - -1.159902762078396
    - -1.5415203211505992
    - -1.903275850927465
    - -2.22997021784983
    - -2.5076116712970866
    - -2.7240403387371583
    - -2.8694915519256092
    - -2.937071822427959
    - -2.923124189161948
    - -2.827463706055414
    - -2.6534688899420407
    - -2.4080208211264633
    - -2.1012880494504724
    - -1.7463622377691308
    - -1.3587562766819492
    - -0.9557831195500368
    - -0.5558395057545407
    - -0.1776237679711241
    - 0.16067920965117982
    - 0.44221032359173273
    - 0.65220936867884
    - 0.7787131379236292
    - 0.81314507639212
    - 0.7507670598878727
    - 0.5909693616086245
    - 0.33738164989846714
    - -0.0022043475789028
    - -0.41610140768554704
    - -0.8891747291544869
    - -1.4034546690092258
    - -1.9388896302710354
    - -2.4742072335272267
    - -2.9878460154892195
    - -3.4589156444773974
    - -3.8681412834358984
    - -4.198747439395055
    - -4.437238492437971
    - -4.5740370722712695
    - -4.603947415838993
    - -4.526418561389556
    - -4.345591384244323
    - -4.070123646450903
    - -3.712797941528126
    - -3.289928149121303
    - -2.8205902373344487
    - -2.325712436388559
    - -1.8270674656680364
    - -1.3462151990671036
    - -0.9034475591225666
    - -0.5167883038745135
    - -0.20109859944389386
    - 0.03266512389934648
    - 0.17800139797895106
    - 0.23319143500082798
    - 0.2013845625313233
    - 0.09043367240444597
    - -0.08751428255425685
    - -0.31665495474794303
    - -0.578360532395934
    - -0.852170222184498
    - -1.1168876531841814
    - -1.351729064264915
    - -1.5374624447148593
    - -1.6574771843086296
    - -1.698726362646284
    - -1.6524895090156912
    - -1.5149122651619653
    - -1.2872904943091785
    - -0.9760794652542261
    - -0.5926231442686799
    - -0.15261360513322542
    - 0.3246946766597311
    - 0.8174771501139948
    - 1.3024877065301217
    - 1.7563035144285364
    - 2.156599912901943
    - 2.483386202646074
    - 2.7201339943372647
    - 2.854734358500433
    - 2.8802282045690806
    - 2.795265731401784
    - 2.6042648807822153
    - 2.3172547706990145
    - 1.9494072410905765
    - 1.520276983012158
    - 1.0527872815313104
    - 0.5720132417791336
    - 0.10382661864723015
    - -0.3265247099031436
    - -0.6958245720559696
    - -0.9842048392852633
    - -1.17629514429288
    - -1.2621388170700478
    - -1.2378197805678899
    - -1.105760401969465
    - -0.8746681068889092
    - -0.5591279745572483
    - -0.17885847167147528
    - 0.2423331738511033
    - 0.6778418264384303
    - 1.0997325139846765
    - 1.480305491414899
    - 1.7936712338827048
    - 2.017246315654613
    - 2.133084214632109
    - 2.1289631510067504
    - 1.9991657505156792
    - 1.7449019711254314
    - 1.3743464554398337
    - 0.9022831808968697
    - 0.34937274905352844
    - -0.2589204118272304
    - -0.8936835499899741
    - -1.5241193456390993
    - -2.1192304789010175
    - -2.649529502399945
    - -3.0886759168813844
    - -3.4149454717741796
    - -3.6124454609397074
    - -3.672003728636139
    - -3.5916774959494995
    - -3.3768499384096957
    - -3.0399064427477227
    - -2.599507243695617
    - -2.079497218190494
    - -1.5075155385550967
    - -0.9133863073227353
    - -0.3273850523808048
    - 0.22151584676662142
    - 0.7073176783742503
    - 1.108481038971934
    - 1.4091362478096197
    - 1.5999442903639847
    - 1.6785548659659784
    - 1.6496324398466573
    - 1.524447582451429
    - 1.3200577200894967
    - 1.0581270677296413
    - 0.7634583609292019
    - 0.4623275911089987
    - 0.18072605951716098
    - -0.057379195293263664
    - -0.23165568590408164
    - -0.32678268734835597
    - -0.3335053226839778
    - -0.2492950770089774
    - -0.07857060529118638
    - 0.1675397470080171
    - 0.4718831906459037
    - 0.8123761598815397
    - 1.1634403350119642
    - 1.4976920758991312
    - 1.7877787991787568
    - 2.0082448655831353
    - 2.137305937536037
    - 2.1584148678758854
    - 2.0615138485137954
    - 1.8438861566808924
    - 1.51054530445054
    - 1.074128248483971
    - 0.5542907689078997
    - -0.023364801139162603
    - -0.6287686740591251
    - -1.2291815025645574
    - -1.7912010659672455
    - -2.2828525095293517
    - -2.6756294948451775
    positive_zeros:
    - '0.67097078866003187244621622611356'
    - '2.04989643545942797363863910048579'
    - '2.84038073716652330076265628574430'
    - '3.88256665634514453654019322564309'
    - '4.40986124093346919315866715718070'
    - '5.45934242388039227476384406183301'
    - '5.89032947145676673736336263925055'
    - '7.15176017056407610294620286954275'
    - '7.39118813418436855587219489610751'
    - '8.141564447988226903378156492961769'
    prelabel: 2-72e2-24.11-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.433851755195466
    root_angle: 0.08333333333333333
    root_number: 0.965925826289068286749743199728897367633904839008404551 + 0.258819045102520762348898837624048328349068901319930514*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.04166666666666667'
      prec: 64
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.67097078866003187244621622611'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.04989643545942797363863910049'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.84038073716652330076265628574'
      prec: 103
- - algebraic: true
    analytic_conductor: 41.394448407831774
    bad_primes:
    - 2
    - 3
    central_character: '24.11'
    conductor: 5184
    conductor_radical: 6
    degree: 2
    id: 23327812
    index: 43
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/5184/2/f/e/2591/5
    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: 2-72e2-24.11-c1-0-43
    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: 2-72e2-24.11-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.433851755195466
    root_angle: 0.041666666666666664
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '0.67097078866003187244621622611'
      prec: 103
- - Lhash: '850556522980497860643219475093'
    Lhash_array:
    - '850556522980497860643219475093'
    id: 23694706
    label: 2-72e2-24.11-c1-0-43
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/5184/2/f/e/2591/5
label_cols:
- label
- label
- label
labels:
- 2-72e2-24.11-c1-0-43
- 2-72e2-24.11-c1-0-43
- 2-72e2-24.11-c1-0-43
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T12:53:17.849215'