data:
- - Lhash: '1003496632475327938098230379439'
    a10:
    - 0.0
    - 0.0
    a2:
    - -2.802517076888147
    - -2.802517076888147
    a3:
    - 0.0
    - 0.0
    a4:
    - 0.0
    - 7.708203932499369
    a5:
    - 0.0
    - 0.0
    a6:
    - 0.0
    - 0.0
    a7:
    - -25.00489082489611
    - 25.00489082489611
    a8:
    - -0.8177634621393246
    - 0.8177634621393246
    a9:
    - 0.0
    - 0.0
    accuracy: 100
    algebraic: true
    analytic_conductor: 13.275429751291645
    analytic_normalization:
      __RealLiteral__: 0
      data: '1.5'
      prec: 10
    bad_lfactors:
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 0
    bad_primes:
    - 3
    - 5
    central_character: '225.143'
    coefficient_field: CDF
    conductor: 225
    conductor_radical: 15
    conjugate: '829261198048892143020716738828'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 2.802517076888147
        - 2.802517076888147
      - - 0
        - 8.0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 25.00489082489611
        - -25.00489082489611
      - - 0
        - -343.0
    - - - 1.0
        - 0
      - - 0
        - 42.189972609139836
      - - -1331.0
        - 0
    - - - 1.0
        - 0
      - - 25.71964229922337
        - 25.71964229922337
      - - 0
        - 2197.0
    - - - 1.0
        - 0
      - - -42.097411193921694
        - -42.097411193921694
      - - 0
        - 4913.0
    - - - 1.0
        - 0
      - - 0
        - -58.914855054991165
      - - -6859.0
        - 0
    - - - 1.0
        - 0
      - - -141.93164233735772
        - 141.93164233735772
      - - 0
        - -12167.0
    - - - 1.0
        - 0
      - - -79.07993836683931
        - 0
      - - 24389.0
        - 0
    - - - 1.0
        - 0
      - - -184.91485505499116
        - 0
      - - 29791.0
        - 0
    - - - 1.0
        - 0
      - - -81.44363215144766
        - 81.44363215144766
      - - 0
        - -50653.0
    - - - 1.0
        - 0
      - - 0
        - 14.021722487731948
      - - -68921.0
        - 0
    - - - 1.0
        - 0
      - - -152.1697957801724
        - -152.1697957801724
      - - 0
        - 79507.0
    - - - 1.0
        - 0
      - - 199.03836749965794
        - 199.03836749965794
      - - 0
        - 103823.0
    - - - 1.0
        - 0
      - - -84.5353455251868
        - 84.5353455251868
      - - 0
        - -148877.0
    - - - 1.0
        - 0
      - - 665.7333484697308
        - 0
      - - 205379.0
        - 0
    - - - 1.0
        - 0
      - - -600.8297101099823
        - 0
      - - 226981.0
        - 0
    - - - 1.0
        - 0
      - - -6.228005191682432
        - 6.228005191682432
      - - 0
        - -300763.0
    - - - 1.0
        - 0
      - - 0
        - -750.8225964741695
      - - -357911.0
        - 0
    - - - 1.0
        - 0
      - - -418.6541843464745
        - -418.6541843464745
      - - 0
        - 389017.0
    - - - 1.0
        - 0
      - - 0
        - -825.8297101099823
      - - -493039.0
        - 0
    - - - 1.0
        - 0
      - - -463.07152313313867
        - 463.07152313313867
      - - 0
        - -571787.0
    - - - 1.0
        - 0
      - - -646.7465064788855
        - 0
      - - 704969.0
        - 0
    - - - 1.0
        - 0
      - - -371.51481937054945
        - 371.51481937054945
      - - 0
        - -912673.0
    - - - 1.0
        - 0
      - - 0
        - 1579.7662182371312
      - - -1030301.0
        - 0
    - - - 1.0
        - 0
      - - 31.42624331728337
        - 31.42624331728337
      - - 0
        - 1092727.0
    - - - 1.0
        - 0
      - - -669.8773736918323
        - -669.8773736918323
      - - 0
        - 1225043.0
    - - - 1.0
        - 0
      - - 0
        - -1174.8234988699521
      - - -1295029.0
        - 0
    - - - 1.0
        - 0
      - - -594.9513837624265
        - 594.9513837624265
      - - 0
        - -1442897.0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 16743485
    index: 6
    label: 2-15e2-15.8-c3-0-6
    load_key: CMFs-workshop
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/225/4/f/d/143/1
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 0.7232589256710023
    - 0.7477908296940192
    - 0.7247996878679445
    - 0.6505698679003645
    - 0.5219564357167515
    - 0.3366682630426329
    - 0.09366104417727257
    - -0.20638875979531449
    - -0.5605712130723421
    - -0.9632440944948732
    - -1.4056079483377923
    - -1.8754185557723355
    - -2.3568996391530175
    - -2.8309127853064298
    - -3.2754299710740913
    - -3.666336250923003
    - -3.978566167095475
    - -4.1875480024241005
    - -4.2708966732463605
    - -4.210261275518826
    - -3.993200259051245
    - -3.614929709835642
    - -3.079772335258709
    - -2.402130379906265
    - -1.6068180955517193
    - -0.7286205927981678
    - 0.18900374682011942
    - 1.0960923899745743
    - 1.9391533897079365
    - 2.6647919702548553
    - 3.223748886129202
    - 3.575035524309284
    - 3.6897973128880492
    - 3.554514618780835
    - 3.173166389742167
    - 2.5680404240467114
    - 1.7789750193374987
    - 0.860954414030001
    - -0.11985585608063566
    - -1.0913733548622595
    - -1.9817369893496515
    - -2.725757065644412
    - -3.271028511706362
    - -3.5830381150341712
    - -3.6486526485549264
    - -3.477509317448757
    - -3.1010351805065013
    - -2.5690800311470072
    - -1.9444305032487448
    - -1.295748117152848
    - -0.689703986962527
    - -0.183233227857018
    - 0.1831250588220537
    - 0.3899170570231635
    - 0.4408125203311346
    - 0.36162427597343116
    - 0.19632748773829958
    - 0.0005097562445374132
    - -0.1669344295477312
    - -0.2527566349539701
    - -0.21768994597997618
    - -0.04291850585213303
    - 0.26636547047178005
    - 0.6809908849616283
    - 1.1515947154773831
    - 1.6157727095107661
    - 2.0076525140349575
    - 2.2685057744664126
    - 2.356757118989102
    - 2.255729676147746
    - 1.9777126571383241
    - 1.5634301690187737
    - 1.076673783598208
    - 0.5946400781375819
    - 0.19526946705050846
    - -0.056512129743968555
    - -0.12140533726521976
    - 0.005038480219832416
    - 0.2884461059761027
    - 0.658047896233706
    - 1.0156657930683426
    - 1.2503381122817108
    - 1.2566225640825517
    - 0.9538248800941524
    - 0.30300033110463426
    - -0.681328349754624
    - -1.927173744324544
    - -3.3101619776880153
    - -4.667640442467497
    - -5.820261566428051
    - -6.598122538948873
    - -6.8675589742144565
    - -6.554290459576196
    - -5.6589101446555015
    - -4.261699893522869
    - -2.5153175890582946
    - -0.6258157974653281
    - 1.17559365179563
    - 2.6659498072272942
    - 3.6639785129269367
    - 4.058150771826528
    - 3.8246113465575844
    - 3.0317180375430004
    - 1.8300496635073327
    - 0.42914374478470135
    - -0.935495168221758
    - -2.0398257904552812
    - -2.7069602125303813
    - -2.835099946028311
    - -2.412930648977861
    - -1.5197920893027863
    - -0.31056831291221737
    - 1.0120665285433432
    - 2.2331491400165895
    - 3.1623706648090217
    - 3.6658876950829384
    - 3.687364156385746
    - 3.254601957851583
    - 2.470808457053738
    - 1.4924313115790215
    - 0.4980134495545912
    - -0.3458120011726719
    - -0.9145915624713626
    - -1.14681355791461
    - -1.0513593468806257
    - -0.7005695790320169
    - -0.2107915530745226
    - 0.2851777530021331
    - 0.6677143057010484
    - 0.8556662451533026
    - 0.8219512342960936
    - 0.596244033620127
    - 0.2544226787061083
    - -0.1025937255103386
    - -0.37558075213754516
    - -0.4929877467976051
    - -0.42995410225895764
    - -0.21570487393677368
    - 0.07267458758786713
    - 0.3288949304850621
    - 0.44435437243341436
    - 0.3369510987203295
    - -0.025204129585156464
    - -0.611267578449498
    - -1.330011265675381
    - -2.0473141569160664
    - -2.615430776202623
    - -2.907644308928658
    - -2.850240010667552
    - -2.44388807878707
    - -1.7685690793540538
    - -0.9697360455722072
    - -0.22773509605463582
    - 0.28337254781970395
    - 0.438511830071075
    - 0.19576082613936105
    - -0.38675564363166504
    - -1.1565314845266332
    - -1.8952755508155572
    - -2.3654898901317147
    - -2.365565675645004
    - -1.7813166939937974
    - -0.6218720029871467
    - 0.9693785745726071
    - 2.733028709542453
    - 4.33900967548441
    - 5.450770322795273
    - 5.795333563629949
    - 5.224290594947372
    - 3.752058461887249
    - 1.5621038871365729
    - -1.0215323495017874
    - -3.5926000067267427
    - -5.73941787569182
    - -7.124268646922455
    - -7.5486787324210685
    - -6.990609898197357
    - -5.605506671570546
    - -3.690947824369484
    - -1.6226068821869928
    - 0.22447055126082321
    - 1.5520732734059002
    - 2.195995207910008
    - 2.152072966520408
    - 1.566153845724704
    - 0.691303478250717
    - -0.1770287924814438
    - -0.7723305207739732
    - -0.9181381383323707
    - -0.5650549850674473
    - 0.2041534576716495
    - 1.2013966822877393
    - 2.184365776981653
    - 2.9185889829567144
    - 3.2348367154359066
    - 3.0678967143203124
    - 2.4678035911378635
    - 1.5817957728577352
    - 0.6127382423578818
    - -0.23441665909858897
    - -0.8038342467259574
    - -1.0244245415978457
    - -0.9211549727595301
    - -0.6000475129842519
    - -0.21200835426502695
    - 0.09372009366363704
    - 0.2130787657331469
    - 0.11538870430041374
    - -0.15153934423563517
    - -0.48044827410437785
    - -0.7418897412293415
    - -0.8284034988532524
    - -0.692182939148368
    - -0.3645011559783196
    - 0.04966068249500134
    - 0.40111376623831796
    - 0.5421549434979144
    - 0.37530473045385737
    - -0.10963365687984906
    - -0.8222527333450385
    - -1.5876907416325499
    - -2.1896538966522083
    - -2.42966601119979
    - -2.186465643077842
    - -1.4583400348467412
    - -0.3749158105535941
    - 0.8272710489440179
    - 1.8612087837091018
    - 2.4643152588806396
    - 2.472198900244791
    - 1.870689786773368
    - 0.8102590896895707
    - -0.4236705325019895
    - -1.4792967355002398
    - -2.029707428422992
    - -1.8635248558003452
    - -0.95042689014441
    - 0.537540854912339
    - 2.257108744393305
    - 3.7720456729016703
    - 4.660421808928946
    - 4.624246758527024
    - 3.573079784912449
    - 1.658884045639789
    - -0.7487303674256717
    - -3.142622685489089
    - -4.994923061335932
    - -5.881950222495702
    - -5.586029955038833
    - -4.1484433915731636
    - -1.8599596184236609
    - 0.8087310320600007
    - 3.3190287510173926
    - 5.190475403697256
    - 6.109135621217363
    - 5.991613273179157
    - 4.989971838799735
    positive_zeros:
    - '0.791619261880724189887916070343935'
    - '3.22436949288667685623341805560214'
    - '4.73484766524078939548687678111122'
    - '6.43103121003898502843423239099246'
    - '7.12533319999137863052949136831498'
    - '7.64593165121755641842792178043218'
    - '9.337831469340716717681540524530528'
    - '9.622028820124856316471446648136630'
    - '10.54294348418272957041038931890513'
    - '12.04194126128224600697976157455687'
    prelabel: 2-15e2-15.8-c3-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.6435463152389933
    root_angle: 0.4041685756145745
    root_number: 0.296535847585058 + 0.9550217228403819*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.202084287807'
      prec: 47
    spectral_label: c3-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.791619261880724189887916070344'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '3.22436949288667685623341805560'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '4.73484766524078939548687678111'
      prec: 103
- - algebraic: true
    analytic_conductor: 13.275429751291645
    bad_primes:
    - 3
    - 5
    central_character: '15.8'
    conductor: 225
    conductor_radical: 15
    degree: 2
    id: 16743485
    index: 6
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/225/4/f/d/143/1
    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: 2-15e2-15.8-c3-0-6
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    order_of_vanishing: 0
    prelabel: 2-15e2-15.8-c3-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.6435463152389933
    root_angle: 0.20208428780728724
    self_dual: false
    spectral_label: c3-0
    z1:
      __RealLiteral__: 0
      data: '0.791619261880724189887916070344'
      prec: 107
- - Lhash: '1003496632475327938098230379439'
    Lhash_array:
    - '1003496632475327938098230379439'
    id: 17109525
    label: 2-15e2-15.8-c3-0-6
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/225/4/f/d/143/1
label_cols:
- label
- label
- label
labels:
- 2-15e2-15.8-c3-0-6
- 2-15e2-15.8-c3-0-6
- 2-15e2-15.8-c3-0-6
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T06:24:54.433720'