data:
- - Lhash: '1885546088470421216090807278934'
    a10:
    - 0
    - 0
    a2:
    - 0
    - 0
    a3:
    - 0
    - 0
    a4:
    - 0
    - 0
    a5:
    - 0
    - -1.0
    a6:
    - 0
    - 0
    a7:
    - 4.732050807568878
    - 0
    a8:
    - 0
    - 0
    a9:
    - 0
    - 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 22.996915782128763
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 3
      - - - 1.0
          - 0
        - - 0
          - 0
    - - 5
      - - - 1.0
          - 0
        - - 0
          - 1.0
    bad_primes:
    - 2
    - 3
    - 5
    central_character: '2880.1441'
    coefficient_field: CDF
    conductor: 2880
    conductor_radical: 30
    conjugate: '964742602025441021907807682131'
    degree: 2
    euler_factors:
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.0
    - - - 1.0
        - 0
      - - -4.732050807568878
        - 0
      - - 7.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 3.4641016151377544
      - - -11.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 3.4641016151377544
      - - -13.0
        - 0
    - - - 1.0
        - 0
      - - -3.4641016151377544
        - 0
      - - 17.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 2.0
      - - -19.0
        - 0
    - - - 1.0
        - 0
      - - -2.196152422706632
        - 0
      - - 23.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0
      - - -29.0
        - 0
    - - - 1.0
        - 0
      - - 2.5358983848622456
        - 0
      - - 31.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 6.0
      - - -37.0
        - 0
    - - - 1.0
        - 0
      - - 9.464101615137755
        - 0
      - - 41.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0.19615242270663188
      - - -43.0
        - 0
    - - - 1.0
        - 0
      - - 2.196152422706632
        - 0
      - - 47.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -10.392304845413264
      - - -53.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 6.0
      - - -59.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -0.9282032302755092
      - - -61.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 0.19615242270663188
      - - -67.0
        - 0
    - - - 1.0
        - 0
      - - 16.392304845413264
        - 0
      - - 71.0
        - 0
    - - - 1.0
        - 0
      - - -6.392304845413264
        - 0
      - - 73.0
        - 0
    - - - 1.0
        - 0
      - - 12.0
        - 0
      - - 79.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - 1.2679491924311228
      - - -83.0
        - 0
    - - - 1.0
        - 0
      - - -12.928203230275509
        - 0
      - - 89.0
        - 0
    - - - 1.0
        - 0
      - - -14.392304845413264
        - 0
      - - 97.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -12.0
      - - -101.0
        - 0
    - - - 1.0
        - 0
      - - 2.196152422706632
        - 0
      - - 103.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -13.267949192431123
      - - -107.0
        - 0
    - - - 1.0
        - 0
      - - 0
        - -12.928203230275509
      - - -109.0
        - 0
    - - - 1.0
        - 0
      - - -12.928203230275509
        - 0
      - - 113.0
        - 0
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 23203545
    index: 34
    label: 2-2880-8.5-c1-0-34
    leading_term: '2.260701655191450570736067148424852400129183160722033248'
    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/2880/2/k/l/1441/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.05078125'
      prec: 34
    plot_values:
    - 2.2607016551914505
    - 2.360498173111983
    - 2.452342639985703
    - 2.5357699944919685
    - 2.610159385683099
    - 2.6747348726393727
    - 2.7285783849354877
    - 2.7706541195978365
    - 2.799842986525165
    - 2.8149853230100024
    - 2.814929877406438
    - 2.7985869862205757
    - 2.76498389915511
    - 2.713320302271528
    - 2.643022216004579
    - 2.5537925782395035
    - 2.4456569501761636
    - 2.3190029010016167
    - 2.1746117401569096
    - 2.0136813809721055
    - 1.8378392459989614
    - 1.6491442715415232
    - 1.450077244164691
    - 1.2435189105495998
    - 1.0327155465166253
    - 0.8212319511701746
    - 0.6128921450925512
    - 0.41170839200411335
    - 0.22179952375234435
    - 0.047299919382193696
    - -0.10773914076012898
    - -0.239453667821842
    - -0.3442742952905552
    - -0.4190340482842685
    - -0.46107361455892676
    - -0.4683410101283272
    - -0.43948244078177573
    - -0.37392115840468254
    - -0.27192120623126137
    - -0.13463314579644536
    - 0.035880836784132064
    - 0.23664463705046546
    - 0.4637904308134955
    - 0.7126064396156312
    - 0.9776106506194843
    - 1.2526501258773548
    - 1.5310247368864873
    - 1.8056333374212088
    - 2.0691395661039502
    - 2.3141536773204603
    - 2.533426063427986
    - 2.720047481605777
    - 2.8676504633398743
    - 2.970605989869625
    - 3.0242092865803345
    - 3.0248485430362586
    - 2.970150517924244
    - 2.8590973485941342
    - 2.6921094554901237
    - 2.471090207701707
    - 2.199428984663142
    - 1.8819604105186671
    - 1.5248788241088893
    - 1.1356084440758274
    - 0.7226311540310264
    - 0.29527532058235506
    - -0.13652948320013447
    - -0.5625255974404747
    - -0.972420742324357
    - -1.356193278299102
    - -1.7043998830049114
    - -2.0084757241763387
    - -2.2610169780575378
    - -2.4560356542883195
    - -2.5891771565099053
    - -2.657891836695518
    - -2.6615529809064813
    - -2.6015151716912754
    - -2.481108770985885
    - -2.3055683074068174
    - -2.0818947715758473
    - -1.8186541505832705
    - -1.525716887711799
    - -1.2139452503540797
    - -0.8948377393153454
    - -0.5801415887295688
    - -0.2814460040936401
    - -0.009769990531419066
    - 0.2248406305283145
    - 0.41369218118757106
    - 0.5497835342851808
    - 0.6280943019158164
    - 0.645808552856095
    - 0.6024637422997701
    - 0.5000169449882663
    - 0.3428232910632027
    - 0.1375246221393099
    - -0.10715029410870458
    - -0.3806692496738337
    - -0.6710556857152574
    - -0.9653121152677413
    - -1.2498937488320951
    - -1.511215773460023
    - -1.736175872158907
    - -1.9126723592859003
    - -2.0300978244038275
    - -2.0797884709551386
    - -2.0554104267025846
    - -1.9532661781064784
    - -1.7725068958809658
    - -1.5152396967630712
    - -1.1865227192818508
    - -0.7942451437670842
    - -0.34889380065801473
    - 0.13678738939198457
    - 0.6482344015916572
    - 1.169581569480973
    - 1.6842428422596236
    - 2.1755340722746643
    - 2.627312285314778
    - 3.0246065281394103
    - 3.3542145432755186
    - 3.6052402401080657
    - 3.7695487196204254
    - 3.8421184280911014
    - 3.8212737771145626
    - 3.7087861440704937
    - 3.509836389202139
    - 3.232837689215251
    - 2.8891233626740056
    - 2.492510201932403
    - 2.058753375244569
    - 1.6049139702770872
    - 1.148664480923596
    - 0.7075607837907465
    - 0.2983112362959035
    - -0.06392567197946589
    - -0.36618424306041714
    - -0.5982461330844645
    - -0.7530808818834742
    - -0.8271512251839361
    - -0.8205675489836428
    - -0.7370822276795893
    - -0.5839215437101636
    - -0.3714601185115308
    - -0.11274997217384548
    - 0.17707685595599973
    - 0.4815070726967597
    - 0.7834161020688447
    - 1.0658752101921203
    - 1.31295932951593
    - 1.510518344452226
    - 1.6468755164855788
    - 1.7134193454040327
    - 1.7050594080925807
    - 1.620522432545186
    - 1.462471823898238
    - 1.2374417676875313
    - 0.9555855461843967
    - 0.6302464310955018
    - 0.27736805333938186
    - -0.08523091124571272
    - -0.4386859548175732
    - -0.7639824644672993
    - -1.0428766281181454
    - -1.2587981130345107
    - -1.3976910648678176
    - -1.4487520077562872
    - -1.4050272906482717
    - -1.2638386758354059
    - -1.027013261324732
    - -0.7009028414030147
    - -0.2961876389681474
    - 0.17253036691659251
    - 0.6873290344858587
    - 1.2277373607024176
    - 1.7716425675022058
    - 2.296291809175268
    - 2.7793419554597976
    - 3.1999076889799243
    - 3.5395573128048134
    - 3.7832072886943977
    - 3.9198705930836932
    - 3.943220337719941
    - 3.8519384886333503
    - 3.6498295565051917
    - 3.345690357481815
    - 2.9529388195298987
    - 2.489016753853301
    - 1.9745929252545338
    - 1.4326030544484076
    - 0.8871720274717291
    - 0.36247010290474707
    - -0.11844107496750729
    - -0.5347155818392485
    - -0.8687279628296285
    - -1.1069245903092981
    - -1.2404776998099192
    - -1.2657076289983762
    - -1.184250147040228
    - -1.0029584800506803
    - -0.7335430800107366
    - -0.3919656662422106
    - 0.00238310893699808
    - 0.4276815343047945
    - 0.8607998935548149
    - 1.2784913073165498
    - 1.6585888441339733
    - 1.9811464236006546
    - 2.2294633514928566
    - 2.390937850246009
    - 2.45770343958816
    - 2.427013080137807
    - 2.301349071243922
    - 2.0882511287544965
    - 1.7998701088292444
    - 1.452269693557172
    - 1.0645122112329122
    - 0.6575768651289335
    - 0.2531683062321851
    - -0.12751985651086759
    - -0.4650187724028813
    - -0.7427078629423092
    - -0.9477848018814913
    - -1.0720262560442755
    - -1.1122944804943482
    - -1.0707582962532656
    - -0.9548123572689695
    - -0.7766951240118128
    - -0.552822714471201
    - -0.30287187970251406
    - -0.04865985058862643
    - 0.1871191046205757
    - 0.3822315983986793
    - 0.5162434017475716
    - 0.5717826946314624
    - 0.5356558040802296
    - 0.3997499329454964
    - 0.16166813922584752
    - -0.17494418126344446
    - -0.6004055510903845
    - -1.0993435090333048
    - -1.6513658638067288
    - -2.2320270203132933
    - -2.814041325119826
    - -3.3686808110430895
    - -3.8672834147511943
    - -4.282790385468664
    - -4.591228675967724
    - -4.773055846124565
    - -4.81429139187872
    - -4.707369152755535
    - -4.45166001174197
    - -4.05363171905423
    - -3.526632396721841
    - -2.890305029054312
    - -2.1696608543151625
    positive_zeros:
    - '1.48743359418671449145646546009948'
    - '2.02130523769817301593823351542142'
    - '3.33549009450246415815202602283999'
    - '4.41992202938802483792358204239445'
    - '4.90440615162653628871812081312976'
    - '5.77509651081506931069624856806261'
    - '6.89669638307692981804733847674796'
    - '7.38353231088624702540139069927245'
    - '8.163828778310000269990804204666293'
    - '8.767142687878435866037367964349479'
    prelabel: 2-2880-8.5-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.795509960591132
    root_angle: 0.4166666666666667
    root_number: 0.25881904510252076234889883762404832834906890131993051381 + 0.96592582628906828674974319972889736763390483900840455040*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.20833333333333334'
      prec: 64
    spectral_label: c1-0
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.48743359418671449145646546010'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.02130523769817301593823351542'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.33549009450246415815202602284'
      prec: 103
- - algebraic: true
    analytic_conductor: 22.996915782128763
    bad_primes:
    - 2
    - 3
    - 5
    central_character: '8.5'
    conductor: 2880
    conductor_radical: 30
    degree: 2
    id: 23203545
    index: 34
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2880/2/k/l/1441/2
    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: 2-2880-8.5-c1-0-34
    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: 2-2880-8.5-c1-0
    primitive: true
    rational: false
    root_analytic_conductor: 4.795509960591132
    root_angle: 0.20833333333333334
    self_dual: false
    spectral_label: c1-0
    z1:
      __RealLiteral__: 0
      data: '1.48743359418671449145646546010'
      prec: 103
- - Lhash: '1885546088470421216090807278934'
    Lhash_array:
    - '1885546088470421216090807278934'
    id: 23575111
    label: 2-2880-8.5-c1-0-34
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2880/2/k/l/1441/2
label_cols:
- label
- label
- label
labels:
- 2-2880-8.5-c1-0-34
- 2-2880-8.5-c1-0-34
- 2-2880-8.5-c1-0-34
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T09:49:30.930750'