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    positive_zeros:
    - '1.09496649740619004624668896937292'
    - '1.28631455136984362766715061694419'
    - '2.15370415907958461133147686693679'
    - '2.36809958452679431388331325288780'
    - '2.70520558057069912964138036902930'
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    - '3.92647562332410808656653822711862'
    - '4.42663782277204671861934277480007'
    - '4.70221612849787860038625425424364'
    - '5.22984499420197939245598446605293'
    - '5.36617909703670805193324771813667'
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    - '6.67391760073726690808913027879464'
    - '6.92393248167170013205876388661298'
    - '7.41551329369254784495455900499613'
    - '7.44501949586773865423740920187513'
    prelabel: 4-9576e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 8.744412214413165
    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: 233251875103614129
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.09496649740619004624668896937'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.28631455136984362766715061694'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.15370415907958461133147686694'
      prec: 103
- - algebraic: true
    analytic_conductor: 5846.857224180202
    bad_primes:
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    - 3
    - 7
    - 19
    central_character: '1.1'
    conductor: 91699776
    conductor_radical: 798
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
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    euler17:
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    euler19:
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    euler2:
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    euler23:
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    euler29:
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    euler3:
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    euler31:
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    euler37:
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    euler41:
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    euler43:
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    euler47:
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    euler5:
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    euler53:
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    euler59:
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    euler61:
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    euler67:
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    euler7:
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    euler71:
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    euler73:
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    euler79:
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    euler83:
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    euler89:
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    euler97:
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    euler_factors:
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    - - 1
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    - - 1
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    - - 1
      - 12
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    - - 1
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      - -142
      - 5041
    - - 1
      - -16
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    - - 1
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      - -632
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    - - 1
      - 14
      - 170
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      - 6889
    - - 1
      - 0
      - 158
      - 0
      - 7921
    - - 1
      - 8
      - 30
      - 776
      - 9409
    id: 22726568
    index: 15
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/9576/2/a/bi
    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: 4-9576e2-1.1-c1e2-0-15
    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: 4-9576e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 8.744412214413165
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 233251875103614129
    z1:
      __RealLiteral__: 0
      data: '1.09496649740619004624668896937'
      prec: 103
- - Lhash: 1388034937666758804200599197027,1630597413126287896714079781253
    Lhash_array:
    - '1388034937666758804200599197027'
    - '1630597413126287896714079781253'
    id: 22863401
    label: 4-9576e2-1.1-c1e2-0-15
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/9576/2/a/bi
label_cols:
- label
- label
- label
labels:
- 4-9576e2-1.1-c1e2-0-15
- 4-9576e2-1.1-c1e2-0-15
- 4-9576e2-1.1-c1e2-0-15
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T02:20:42.689385'