data:
- - Lhash: '1086833655431227487810629826171'
    a10:
    - -984.0
    - 0
    a2:
    - 4.898979485566356
    - -2.8284271247461903
    a3:
    - 0
    - 0
    a4:
    - 16.0
    - -27.712812921102035
    a5:
    - -150.64361918116546
    - -86.97413408594535
    a6:
    - 0
    - 0
    a7:
    - 242.0
    - 419.1562954316683
    a8:
    - 0
    - -181.01933598375618
    a9:
    - 0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 37.26876154641587
    analytic_normalization:
      __RealLiteral__: 0
      data: '3.0'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - -4.898979485566356
          - 2.8284271247461903
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    bad_primes:
    - 2
    - 3
    central_character: '162.53'
    coefficient_field: CDF
    conductor: 162
    conductor_radical: 6
    conjugate: '1235582171797921082080930570164'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - -4.898979485566356
        - 2.8284271247461903
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 150.64361918116546
        - 86.97413408594535
      - - 7812.5
        - 13531.646934131853
    - - - 1.0
        - 0
      - - -242.0
        - -419.1562954316683
      - - -58824.5
        - 101887.02272983543
    - - - 1.0
        - 0
      - - -1161.0581380792264
        - 670.337228564847
      - - 885780.5
        - -1534216.830353764
    - - - 1.0
        - 0
      - - 1684.0
        - -2916.7735599459893
      - - -2413404.5
        - -4180139.2132153627
    - - - 1.0
        - 0
      - - 0
        - -12.727922061357855
      - - -24137569.0
        - 0
    - - - 1.0
        - 0
      - - -5744.0
        - 0
      - - 47045881.0
        - 0
    - - - 1.0
        - 0
      - - -2924.690752883115
        - -1688.5709934734755
      - - 74017944.5
        - 128202840.54581334
    - - - 1.0
        - 0
      - - -25422.029295475215
        - 14677.415457089168
      - - 297411660.5
        - -515132106.74942577
    - - - 1.0
        - 0
      - - -19898.0
        - 34464.34696900552
      - - -443751840.5
        - -768600733.6982006
    - - - 1.0
        - 0
      - - -52526.0
        - 0
      - - 2565726409.0
        - 0
    - - - 1.0
        - 0
      - - -32079.74241635989
        - -18521.24791961924
      - - 2375052120.5
        - 4113710943.3301992
    - - - 1.0
        - 0
      - - 1900.0
        - 3290.896534380867
      - - -3160681524.5
        - 5474460986.978255
    - - - 1.0
        - 0
      - - -66503.64651656328
        - 38395.89821842953
      - - 5389607664.5
        - -9335074307.776636
    - - - 1.0
        - 0
      - - 0
        - -238737.6341048893
      - - -22164361129.0
        - 0
    - - - 1.0
        - 0
      - - -216368.32795952368
        - -124920.31239154022
      - - 21090266820.5
        - 36529413678.29012
    - - - 1.0
        - 0
      - - 6625.0
        - 11474.836600143812
      - - -25760187180.5
        - 44617953009.110466
    - - - 1.0
        - 0
      - - 84484.0
        - -146330.58042664902
      - - -45229191084.5
        - -78339256943.59529
    - - - 1.0
        - 0
      - - 0
        - 531467.1135940587
      - - -128100283921.0
        - 0
    - - - 1.0
        - 0
      - - -236144.0
        - 0
      - - 151334226289.0
        - 0
    - - - 1.0
        - 0
      - - -17558.0
        - -30411.34807929435
      - - -121543727760.5
        - 210519911822.5058
    - - - 1.0
        - 0
      - - 9508.919181484298
        - -5489.977049132355
      - - 163470186684.5
        - -283138668860.32336
    - - - 1.0
        - 0
      - - 0
        - 129328.41606545718
      - - -496981290961.0
        - 0
    - - - 1.0
        - 0
      - - -160712.0
        - -278361.3493860094
      - - -416486002464.5
        - 721374916909.7706
    - - - 1.0
        - 0
      - - -579180.624936211
        - 334390.08971633716
      - - 530760075300.5
        - -919303417049.5492
    - - - 1.0
        - 0
      - - 996706.0
        - -1726345.4322087455
      - - -597026148264.5
        - -1034079622241.2635
    - - - 1.0
        - 0
      - - 0
        - 260667.8438166089
      - - -1500730351849.0
        - 0
    - - - 1.0
        - 0
      - - -194456.0
        - 0
      - - 1677100110841.0
        - 0
    - - - 1.0
        - 0
      - - -711783.7521617784
        - -410948.5409154046
      - - 1040975876304.5
        - 1803023107212.929
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23130258
    index: 10
    label: 2-162-9.5-c6-0-10
    leading_term: '2.598207004565024508307875780461381446863894553609063083'
    load_key: CMFs-workshop
    motivic_weight: 6
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 6
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/162/7/d/d/53/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.0703125'
      prec: 30
    plot_values:
    - 2.5982070045650243
    - 2.5724658224810075
    - 2.5086994212302742
    - 2.4071087427076527
    - 2.2684062755191725
    - 2.0938127924816765
    - 1.8850487812245291
    - 1.6443204247451921
    - 1.374299983943798
    - 1.0781004417149271
    - 0.759244290545033
    - 0.4216263846850027
    - 0.06947083518094904
    - -0.29271799797291803
    - -0.6602102675996537
    - -1.0281108934741825
    - -1.391424918410432
    - -1.7451274331506428
    - -2.084237383499438
    - -2.403894412997339
    - -2.6994377321494367
    - -2.9664858460147525
    - -3.2010158215002127
    - -3.3994406400154062
    - -3.5586830664453215
    - -3.676244377915457
    - -3.750266241602403
    - -3.779584015537042
    - -3.7637697750003416
    - -3.7031634439323255
    - -3.5988905389164385
    - -3.452865214648423
    - -3.267777534771042
    - -3.047064179338944
    - -2.794862136986539
    - -2.515945311257135
    - -2.21564438975931
    - -1.8997507732029175
    - -1.5744058284811207
    - -1.2459772036990848
    - -0.9209244098647793
    - -0.6056563191778382
    - -0.3063836380364152
    - -0.028969768253926165
    - 0.22121624307935747
    - 0.43944076106032953
    - 0.6217366171380564
    - 0.7650201515551959
    - 0.86719035599407
    - 0.9272064732239029
    - 0.9451407827892501
    - 0.9222038003200603
    - 0.8607397375260135
    - 0.76419080051029
    - 0.637029731273145
    - 0.48466090224705727
    - 0.31329123323496727
    - 0.1297731872078928
    - -0.058576914164605025
    - -0.24418106528847705
    - -0.4194171721534775
    - -0.5768462234376834
    - -0.7094425543018509
    - -0.8108202516735357
    - -0.8754484792687283
    - -0.8988484513295067
    - -0.8777649736285097
    - -0.8103059091368471
    - -0.696043616201642
    - -0.5360733426084849
    - -0.3330247236534268
    - -0.09102390095969586
    - 0.18439468342657725
    - 0.4864260995651282
    - 0.80717989258427
    - 1.1379079849692078
    - 1.4692695978193746
    - 1.7916256724000936
    - 2.0953538516627193
    - 2.3711739001410663
    - 2.6104725588336213
    - 2.805616301159271
    - 2.9502403188041275
    - 3.0395023520334816
    - 3.070290703340257
    - 3.041376935746855
    - 2.953505340242678
    - 2.8094132257365745
    - 2.613778387135261
    - 2.3730926737938605
    - 2.0954633277733694
    - 1.7903465926638558
    - 1.4682209032455078
    - 1.1402096421451515
    - 0.8176658783801072
    - 0.511733573569124
    - 0.2329013515038335
    - -0.009434015090488319
    - -0.2073768143290057
    - -0.3548969612821517
    - -0.448133533048471
    - -0.48562254573747166
    - -0.46843658577284564
    - -0.4002268682576324
    - -0.2871617888250899
    - -0.13775994751844559
    - 0.037380185319559146
    - 0.22594747928989828
    - 0.4143714891883328
    - 0.5883471681260481
    - 0.733412569541193
    - 0.8355581348470504
    - 0.881843884655901
    - 0.8609994328218822
    - 0.7639813281145731
    - 0.5844628655152733
    - 0.3192332233988923
    - -0.03151444566272951
    - -0.46402258099825355
    - -0.970948408985355
    - -1.5414893822820974
    - -2.1616555998287468
    - -2.8146837752267153
    - -3.4815811161887384
    - -4.141781506178589
    - -4.773890913173759
    - -5.3564942524832055
    - -5.868992241871015
    - -6.292434315278881
    - -6.610312568702011
    - -6.8092821061505475
    - -6.879775080747777
    - -6.8164791640633515
    - -6.618656034216918
    - -6.290281589725409
    - -5.83999674642345
    - -5.280865576712746
    - -4.6299458747943065
    - -3.9076856158208946
    - -3.1371668405183777
    - -2.3432258583707406
    - -1.5514849577246166
    - -0.7873357111472545
    - -0.07491719249921167
    - 0.5638662301953459
    - 1.110243522716433
    - 1.5493507365938506
    - 1.870843281925034
    - 2.0693166433098344
    - 2.14451356890003
    - 2.101305118341987
    - 1.9494431525774827
    - 1.7030924252779893
    - 1.3801608957467997
    - 1.0014567186379755
    - 0.5897090823249849
    - 0.16849720911729635
    - -0.2388629967250645
    - -0.6104222719736754
    - -0.9266384950980407
    - -1.1713037306548706
    - -1.3323118765427757
    - -1.4022280338411903
    - -1.37862985610637
    - -1.2642019437629146
    - -1.0665763274265423
    - -0.7979246547804257
    - -0.4743202347943828
    - -0.11489995984351016
    - 0.2591333038919031
    - 0.625618569623912
    - 0.9625992069605287
    - 1.2494808415379923
    - 1.468124895651231
    - 1.6038205082990589
    - 1.6460831320485239
    - 1.589236477627201
    - 1.4327452848653617
    - 1.1812791199970838
    - 0.844501397435159
    - 0.43659237654345145
    - -0.024470780552355062
    - -0.5178404648284133
    - -1.0208835667963558
    - -1.5103677030179554
    - -1.9636852890006333
    - -2.360049170216494
    - -2.6815942655091924
    - -2.914324051293078
    - -3.0488485538283214
    - -3.080871455731381
    - -3.0113974139863897
    - -2.8466460249540755
    - -2.597675230230114
    - -2.2797334303144763
    - -1.9113752265718522
    - -1.513389635195575
    - -1.1076009757255305
    - -0.7156107237875727
    - -0.35755289701862736
    - -0.05093568565754382
    - 0.19036205181669372
    - 0.3568789848121335
    - 0.44409562844331807
    - 0.4526611651621918
    - 0.3883063699199921
    - 0.2614447534830039
    - 0.08648278105564804
    - -0.11912211717132365
    - -0.33600113734777753
    - -0.5441437666952008
    - -0.7242208840263643
    - -0.8588800015331158
    - -0.9339315366590516
    - -0.939350132670722
    - -0.8700249325979448
    - -0.726206869759246
    - -0.5136187125182817
    - -0.243213799771437
    - 0.06940904588807885
    - 0.4049053263125082
    - 0.7413499462461083
    - 1.0556003124353779
    - 1.3247761230156212
    - 1.5277651243850512
    - 1.6466601174000497
    - 1.6680342916712356
    - 1.5839696040704552
    - 1.392766082672186
    - 1.0992779655141518
    - 0.7148444885841707
    - 0.2568076633422374
    - -0.2523649248014994
    - -0.7863089798903855
    - -1.3162774140322318
    - -1.8128529335349315
    - -2.2477579690312672
    - -2.5956516073530245
    - -2.8358008135203705
    - -2.9535178473472743
    - -2.941267288211578
    - -2.799363955206556
    - -2.5362063046867616
    - -2.1680172918196745
    - -1.7180945901026987
    - -1.2156026631552401
    - -0.6939685727033167
    - -0.18896970571196015
    - 0.2633769239351652
    - 0.628998975926594
    - 0.8778941183645347
    - 0.9860641864286714
    - 0.9371345963451871
    - 0.7235520350372225
    - 0.3472771305815238
    - -0.18008173432165767
    - -0.8377137980614917
    positive_zeros:
    - '0.857360581248139349664254015391636'
    - '3.03117855075388977782798148846051'
    - '4.05628146208289659304046691655067'
    - '5.01630530401509216395095038426579'
    - '6.81732794773635628134895952983977'
    - '7.43872737615214771500091752394220'
    - '8.220869518635133166171206790474116'
    - '10.06249281884288094783441628962286'
    - '10.99732356218261132213437846763638'
    - '11.83420020351124353544162047054345'
    prelabel: 2-162-9.5-c6-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.104814620151529
    root_angle: 0.1111111111111111
    root_number: 0.9396926207859083840541092773247314699362081342644646331 + 0.342020143325668733044099614682259580763083367514160629*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.05555555555555555'
      prec: 64
    spectral_label: c6-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.857360581248139349664254015392'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '3.03117855075388977782798148846'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '4.05628146208289659304046691655'
      prec: 103
- - algebraic: true
    analytic_conductor: 37.26876154641587
    bad_primes:
    - 2
    - 3
    central_character: '9.5'
    conductor: 162
    conductor_radical: 6
    degree: 2
    id: 23130258
    index: 10
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/162/7/d/d/53/2
    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: 2-162-9.5-c6-0-10
    motivic_weight: 6
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 6
    order_of_vanishing: 0
    prelabel: 2-162-9.5-c6-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.104814620151529
    root_angle: 0.05555555555555555
    self_dual: false
    spectral_label: c6-0
    z1:
      __RealLiteral__: 0
      data: '0.857360581248139349664254015392'
      prec: 107
- - Lhash: '1086833655431227487810629826171'
    Lhash_array:
    - '1086833655431227487810629826171'
    id: 23496858
    label: 2-162-9.5-c6-0-10
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/162/7/d/d/53/2
label_cols:
- label
- label
- label
labels:
- 2-162-9.5-c6-0-10
- 2-162-9.5-c6-0-10
- 2-162-9.5-c6-0-10
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T00:30:31.151867'