data:
- - Lhash: '1041322105976279726869568477378'
    a10:
    - -315.92565009908117
    - -13.819681959905731
    a2:
    - -4.740639164757656
    - -3.086477006161852
    a3:
    - -1.8155998055464246
    - 1.8155998055464246
    a4:
    - 12.947319380868342
    - 29.263747553069667
    a5:
    - 48.13573876915458
    - -28.424472785747653
    a6:
    - 14.210910597910736
    - -3.0032964934887967
    a7:
    - -66.78790881601526
    - 0.0
    a8:
    - 28.94331460110438
    - -178.69047131814696
    a9:
    - 0.0
    - 236.40719469219957
    accuracy: 100
    algebraic: true
    analytic_conductor: 12.830705585038453
    analytic_normalization:
      __RealLiteral__: 0
      data: '2.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 4.740639164757656
          - 3.086477006161852
    - - 5
      - - - 1.0
          - 0
        - - -48.13573876915458
          - 28.424472785747653
    bad_primes:
    - 2
    - 5
    central_character: '80.29'
    coefficient_field: CDF
    conductor: 80
    conductor_radical: 10
    conjugate: '1586522849932120395596320572234'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 4.740639164757656
        - 3.086477006161852
    - - - 1.0
        - 0
      - - 1.8155998055464246
        - -1.8155998055464246
      - - 0
        - -243.0
    - - - 1.0
        - 0
      - - -48.13573876915458
        - 28.424472785747653
    - - - 1.0
        - 0
      - - 66.78790881601526
        - 0
      - - 16807.0
        - 0
    - - - 1.0
        - 0
      - - -215.26214378440017
        - 215.26214378440017
      - - 0
        - -161051.0
    - - - 1.0
        - 0
      - - 631.8107171609196
        - -631.8107171609196
      - - 0
        - -371293.0
    - - - 1.0
        - 0
      - - 0
        - 755.4371955583985
      - - -1419857.0
        - 0
    - - - 1.0
        - 0
      - - -1909.082206390289
        - -1909.082206390289
      - - 0
        - 2476099.0
    - - - 1.0
        - 0
      - - -3963.7720144439018
        - 0
      - - 6436343.0
        - 0
    - - - 1.0
        - 0
      - - -586.7165685242152
        - -586.7165685242152
      - - 0
        - 20511149.0
    - - - 1.0
        - 0
      - - -4694.906324908433
        - 0
      - - 28629151.0
        - 0
    - - - 1.0
        - 0
      - - -9100.339174651515
        - -9100.339174651515
      - - 0
        - 69343957.0
    - - - 1.0
        - 0
      - - 0
        - -4883.975262214964
      - - -115856201.0
        - 0
    - - - 1.0
        - 0
      - - -6120.839048820116
        - -6120.839048820116
      - - 0
        - 147008443.0
    - - - 1.0
        - 0
      - - 0
        - -17818.675341840073
      - - -229345007.0
        - 0
    - - - 1.0
        - 0
      - - 1181.7735553892687
        - 1181.7735553892687
      - - 0
        - 418195493.0
    - - - 1.0
        - 0
      - - -16657.585230774803
        - 16657.585230774803
      - - 0
        - -714924299.0
    - - - 1.0
        - 0
      - - 39024.84180253772
        - 39024.84180253772
      - - 0
        - 844596301.0
    - - - 1.0
        - 0
      - - 5695.244533904332
        - -5695.244533904332
      - - 0
        - -1350125107.0
    - - - 1.0
        - 0
      - - 0
        - -50084.98069450865
      - - -1804229351.0
        - 0
    - - - 1.0
        - 0
      - - -56678.127217455105
        - 0
      - - 2073071593.0
        - 0
    - - - 1.0
        - 0
      - - -48495.12530585381
        - 0
      - - 3077056399.0
        - 0
    - - - 1.0
        - 0
      - - -57382.66017219554
        - 57382.66017219554
      - - 0
        - -3939040643.0
    - - - 1.0
        - 0
      - - 0
        - 41470.36635788791
      - - -5584059449.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 5473.402314655665
      - - -8587340257.0
        - 0
    - - - 1.0
        - 0
      - - 130838.34191519537
        - -130838.34191519537
      - - 0
        - -10510100501.0
    - - - 1.0
        - 0
      - - 151457.0103011384
        - 0
      - - 11592740743.0
        - 0
    - - - 1.0
        - 0
      - - 109507.97941889611
        - 109507.97941889611
      - - 0
        - 14025517307.0
    - - - 1.0
        - 0
      - - -15125.582422123045
        - -15125.582422123045
      - - 0
        - 15386239549.0
    - - - 1.0
        - 0
      - - 0
        - -73302.68632015731
      - - -18424351793.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 13239547
    index: 22
    label: 2-80-80.29-c5-0-22
    load_key: CMFs-workshop
    motivic_weight: 5
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 5
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/80/6/q/a/29/11
    plot_delta:
      __RealLiteral__: 0
      data: '0.125'
      prec: 17
    plot_values:
    - 1.2264153086100094
    - 1.1406752988094409
    - 1.0136207994987658
    - 0.8476632128498135
    - 0.6462446424062306
    - 0.4138741329154887
    - 0.15616241273275508
    - -0.12015626630730572
    - -0.40722810186009367
    - -0.6961230422818894
    - -0.9769305222125712
    - -1.23891923392689
    - -1.4707698939234397
    - -1.6608861917574327
    - -1.7977842716953019
    - -1.8705553365833152
    - -1.869389500954379
    - -1.7861421728112248
    - -1.6149174205528771
    - -1.3526364792583703
    - -0.9995543328156792
    - -0.5596837762080893
    - -0.04108511167690124
    - 0.544018797876341
    - 1.17933758334343
    - 1.8448457012190655
    - 2.517367429762808
    - 3.171414934075474
    - 3.780262233301582
    - 4.317218688880537
    - 4.7570460380455515
    - 5.077444548443188
    - 5.260518271152196
    - 5.294118378309345
    - 5.172958849236823
    - 4.899401709452552
    - 4.483820580130096
    - 3.9444718006017148
    - 3.3068314343685925
    - 2.602392814017819
    - 1.8669608181373087
    - 1.138522900570468
    - 0.45481945666294593
    - -0.14922654925332865
    - -0.6440327057682732
    - -1.0076300004145478
    - -1.2274834027686845
    - -1.3016772370685652
    - -1.239319889923058
    - -1.060077064502356
    - -0.7928114993953593
    - -0.4733848953222865
    - -0.14175827998641427
    - 0.16139734040996404
    - 0.3983054113181663
    - 0.5375863862427838
    - 0.5573260228239199
    - 0.4473928990139395
    - 0.2107374442793273
    - -0.13651508609991236
    - -0.5662589486731544
    - -1.0408468224034826
    - -1.5166002296318204
    - -1.948095020531909
    - -2.292822964134835
    - -2.515761966835029
    - -2.5933636202822394
    - -2.5164944905041047
    - -2.2919485175754986
    - -1.9422779474235838
    - -1.503859178528961
    - -1.0233020920438476
    - -0.5525069136781952
    - -0.14284915716973523
    - 0.16089149046374432
    - 0.3261678528092664
    - 0.3371772237525469
    - 0.19763986905768247
    - -0.06860437070118348
    - -0.4194031846558814
    - -0.7984530498555031
    - -1.1414780520918248
    - -1.3838205893342332
    - -1.4686215747781997
    - -1.3546344550660758
    - -1.0226908280356684
    - -0.4799277396232193
    - 0.23890396630522015
    - 1.0734213189848572
    - 1.9428730249807113
    - 2.7542713900071556
    - 3.4125942277200605
    - 3.8319468634701646
    - 3.9463799832440714
    - 3.719015554264498
    - 3.1482568209025485
    - 2.2701454147518674
    - 1.1563532536607866
    - -0.09218642311236705
    - -1.3554567639413224
    - -2.5072820860510845
    - -3.4295357397018353
    - -4.025931360326759
    - -4.2336697217266135
    - -4.031408684942422
    - -3.442429018168541
    - -2.532441507514172
    - -1.4021528378813777
    - -0.1753937138396834
    - 1.015779617030234
    - 2.047156373867341
    - 2.817550862269196
    - 3.2610892587530778
    - 3.3549400079400717
    - 3.121401966043821
    - 2.6240105461144516
    - 1.9581379494423343
    - 1.2373358730608177
    - 0.5772858999547247
    - 0.07958989801403668
    - -0.18231148802408637
    - -0.1730781461995945
    - 0.10017251413799466
    - 0.5897326735587753
    - 1.215126635549021
    - 1.875730990322099
    - 2.4663020486807694
    - 2.8930603637376944
    - 3.087873459216507
    - 3.018346984427001
    - 2.6922499818189687
    - 2.155574698939414
    - 1.4845341200692004
    - 0.7727747444845632
    - 0.11587067230834962
    - -0.40436527256623794
    - -0.7331528334334799
    - -0.8513603346255149
    - -0.7779714516703489
    - -0.5659216257742885
    - -0.29194407340576917
    - -0.0421092366441085
    - 0.10447151998576826
    - 0.09092067574171932
    - -0.10591422264125215
    - -0.4699355320276198
    - -0.9474367185462499
    - -1.4558779626876934
    - -1.8984873515429044
    - -2.1822782133974985
    - -2.236350007316039
    - -2.0271393365282524
    - -1.5676694599854055
    - -0.918772165254436
    - -0.18158849921819006
    - 0.517820515703451
    - 1.0494653707095905
    - 1.3026064625870148
    - 1.2071222453695714
    - 0.7491649040676573
    - -0.022008943148325827
    - -0.997764370135839
    - -2.0243452236469466
    - -2.9257927681461346
    - -3.5320481283212906
    - -3.707682518643744
    - -3.376366392909554
    - -2.5366945105553786
    - -1.2662774709603635
    - 0.2871015087426817
    - 1.9262899237715174
    - 3.4344624623417346
    - 4.609006680076241
    - 5.294017882402304
    - 5.405890149175129
    - 4.947520926665405
    - 4.008489960041382
    - 2.7509282534905823
    - 1.38325636749522
    - 0.12610871269744708
    - -0.823817603748102
    - -1.3258154093994412
    - -1.3175983830883324
    - -0.8242290434393269
    - 0.04798204625825027
    - 1.1314774512223416
    - 2.227750922909241
    - 3.142497486901655
    - 3.719308858862362
    - 3.865894994478427
    - 3.5682075643194455
    - 2.89009342664751
    - 1.9588004315401433
    - 0.939289478551092
    - 0.0023764904942982223
    - -0.7071618429421099
    - -1.0964516918073584
    - -1.1395246129961851
    - -0.878798752921751
    - -0.41306163686286385
    - 0.12535306074358354
    - 0.599376142849251
    - 0.8960265867310627
    - 0.9493264813808221
    - 0.7526430486618974
    - 0.3580090381678849
    - -0.13729999217054117
    - -0.6139713010138927
    - -0.9586035932255681
    - -1.0903220494616792
    - -0.9802212210919415
    - -0.6592799083496412
    - -0.21282748734938828
    - 0.23746952412714234
    - 0.5603944638298826
    - 0.645037483455435
    - 0.42720689538543594
    - -0.09354288597430803
    - -0.8503242587930434
    - -1.720013517847142
    - -2.5471076781238415
    - -3.1755693048960447
    - -3.481987110476817
    - -3.4028688731496843
    - -2.949918536081283
    - -2.209559322913946
    - -1.3262739843400329
    - -0.47285474382311904
    - 0.18636888429710677
    - 0.5314940230560135
    - 0.514250108672533
    - 0.170108205936632
    - -0.38798426769678923
    - -0.9936225001336629
    - -1.464172059522799
    - -1.6435633998110017
    - -1.4414460777401659
    - -0.8598641369802721
    - -0.0009142335546168732
    - 0.9473396413714357
    - 1.7448585879571317
    - 2.1473320769711757
    - 1.9581820729755264
    - 1.0741219455477375
    - -0.48558076833022523
    - -2.5729757023235007
    - -4.930713091640594
    - -7.233830203327387
    - -9.14639862979475
    - -10.382125567438116
    - -10.756932788292284
    - -10.222938625445133
    - -8.876894860135517
    - -6.941255255745318
    - -4.721615096017666
    - -2.549089806775261
    - -0.719264543852236
    positive_zeros:
    - '0.821458299147098412528441532335095'
    - '2.75922534454767334050822510584747'
    - '5.34215498178925685171822764776360'
    - '6.55602507824283492469106987613166'
    - '7.32989668197110990129038977808662'
    - '9.177565797186225373978739462249526'
    - '9.722057784814608384358245183165795'
    - '10.83618142595619383920942235283999'
    - '12.24097078201487227996945399424598'
    - '13.51785621133863569964122127732350'
    prelabel: 2-80-80.29-c5-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.5819974295130996
    root_angle: -0.05997070466894665
    root_number: 0.9823044920198628 - 0.18729090997055678*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.0299853523345'
      prec: 54
    spectral_label: c5-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.821458299147098412528441532335'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '2.75922534454767334050822510585'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '5.34215498178925685171822764776'
      prec: 103
- - algebraic: true
    analytic_conductor: 12.830705585038453
    bad_primes:
    - 2
    - 5
    central_character: '80.29'
    conductor: 80
    conductor_radical: 10
    degree: 2
    id: 13239547
    index: 22
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/80/6/q/a/29/11
    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: 2-80-80.29-c5-0-22
    motivic_weight: 5
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 5
    order_of_vanishing: 0
    prelabel: 2-80-80.29-c5-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.5819974295130996
    root_angle: -0.029985352334473324
    self_dual: false
    spectral_label: c5-0
    z1:
      __RealLiteral__: 0
      data: '0.821458299147098412528441532335'
      prec: 107
- - Lhash: '1041322105976279726869568477378'
    Lhash_array:
    - '1041322105976279726869568477378'
    id: 13605576
    label: 2-80-80.29-c5-0-22
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/80/6/q/a/29/11
label_cols:
- label
- label
- label
labels:
- 2-80-80.29-c5-0-22
- 2-80-80.29-c5-0-22
- 2-80-80.29-c5-0-22
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-21T00:49:13.994220'