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    - 0.42869224904747555
    - 0.7239861849361311
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    positive_zeros:
    - '1.32173154835776330094994971517903'
    - '1.59639676538250773195616108164537'
    - '2.63598484346465082372558884813016'
    - '2.94408676295673668246561280873569'
    - '3.52307376353046495741585711032663'
    - '3.61874723484322138287259115310515'
    - '4.33755312834980223530662977222861'
    - '4.68101691325403769622023861025482'
    - '4.94167707585443375706508828859771'
    - '5.57873378733363067590571790104845'
    - '6.16173934535562558501669190665852'
    - '6.32565818442085182321759233481649'
    - '6.54923593566407051824565505092334'
    - '7.44671121317034853400265251666842'
    - '7.55493470393042401050202205628703'
    - '7.75637007124788722904540893489351'
    - '8.423698665575543106001201384415201'
    - '8.491889982084046144249139008597614'
    prelabel: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c1e2-0
    trace_hash: 1535256562110654264
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.32173154835776330094994971518'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.59639676538250773195616108165'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.63598484346465082372558884813'
      prec: 103
- - algebraic: true
    analytic_conductor: 477.2944672800165
    bad_primes:
    - 2
    - 3
    - 19
    central_character: '1.1'
    conductor: 7485696
    conductor_radical: 114
    degree: 4
    dirichlet_coefficients:
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    - 0
    - 0
    - 0
    - -3
    - 0
    - -1
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    euler11:
    - 1
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    - 16
    - 33
    - 121
    euler13:
    - 1
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    - 30
    - -52
    - 169
    euler17:
    - 1
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    - 28
    - -51
    - 289
    euler19:
    - 1
    - 2
    - 1
    - 0
    - 0
    euler2:
    - 1
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    - 0
    - 0
    - 0
    euler23:
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    - 22
    - 138
    - 529
    euler29:
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    - -174
    - 841
    euler3:
    - 1
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    - 0
    - 0
    - 0
    euler31:
    - 1
    - -2
    - 30
    - -62
    - 961
    euler37:
    - 1
    - 2
    - 42
    - 74
    - 1369
    euler41:
    - 1
    - 0
    - 82
    - 0
    - 1681
    euler43:
    - 1
    - 1
    - 78
    - 43
    - 1849
    euler47:
    - 1
    - 21
    - 196
    - 987
    - 2209
    euler5:
    - 1
    - 3
    - 4
    - 15
    - 25
    euler53:
    - 1
    - 6
    - 82
    - 318
    - 2809
    euler59:
    - 1
    - 0
    - 118
    - 0
    - 3481
    euler61:
    - 1
    - 11
    - 144
    - 671
    - 3721
    euler67:
    - 1
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    - 6
    - 268
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    euler7:
    - 1
    - 1
    - 6
    - 7
    - 49
    euler71:
    - 1
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    - 286
    - 1704
    - 5041
    euler73:
    - 1
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    - 144
    - 365
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    euler79:
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    - 222
    - 1264
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    euler83:
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    - -498
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    euler89:
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    - 226
    - 1602
    - 7921
    euler97:
    - 1
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    - 390
    - -2716
    - 9409
    euler_factors:
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      - 0
      - 0
    - - 1
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      - 0
      - 0
      - 0
    - - 1
      - 3
      - 4
      - 15
      - 25
    - - 1
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      - 6
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    - - 1
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      - 16
      - 33
      - 121
    - - 1
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      - 30
      - -52
      - 169
    - - 1
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      - 28
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    - - 1
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      - 1
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      - 0
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    - - 1
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      - 841
    - - 1
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      - 30
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    - - 1
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      - 42
      - 74
      - 1369
    - - 1
      - 0
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      - 0
      - 1681
    - - 1
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      - 78
      - 43
      - 1849
    - - 1
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      - 196
      - 987
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    - - 1
      - 6
      - 82
      - 318
      - 2809
    - - 1
      - 0
      - 118
      - 0
      - 3481
    - - 1
      - 11
      - 144
      - 671
      - 3721
    - - 1
      - 4
      - 6
      - 268
      - 4489
    - - 1
      - 24
      - 286
      - 1704
      - 5041
    - - 1
      - 5
      - 144
      - 365
      - 5329
    - - 1
      - 16
      - 222
      - 1264
      - 6241
    - - 1
      - -6
      - 142
      - -498
      - 6889
    - - 1
      - 18
      - 226
      - 1602
      - 7921
    - - 1
      - -28
      - 390
      - -2716
      - 9409
    id: 20179591
    index: 40
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2736/2/a/y
    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: 4-2736e2-1.1-c1e2-0-40
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    order_of_vanishing: 2
    prelabel: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1535256562110654264
    z1:
      __RealLiteral__: 0
      data: '1.32173154835776330094994971518'
      prec: 103
- - Lhash: 1675493790616305663328187475008,2023673317839539834233389434804
    Lhash_array:
    - '1675493790616305663328187475008'
    - '2023673317839539834233389434804'
    id: 20220975
    label: 4-2736e2-1.1-c1e2-0-40
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/a/y
label_cols:
- label
- label
- label
labels:
- 4-2736e2-1.1-c1e2-0-40
- 4-2736e2-1.1-c1e2-0-40
- 4-2736e2-1.1-c1e2-0-40
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T06:36:52.613435'