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    positive_zeros:
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    - '0.68555257622848918656260438553760'
    - '1.57727971356795834644781448683929'
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    - '9.040852406691120715305276075179850'
    - '9.327486932291249285724095862797442'
    prelabel: 4-39e4-1.1-c3e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 9.473220419621383
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c3e2-0
    trace_hash: 707163817587901561
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.57034227746350611523180720085'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.68555257622848918656260438554'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '1.57727971356795834644781448684'
      prec: 103
- - algebraic: true
    analytic_conductor: 8053.60953433941
    bad_primes:
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    - 13
    central_character: '1.1'
    conductor: 2313441
    conductor_radical: 39
    degree: 4
    dirichlet_coefficients:
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    euler5:
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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
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    - - 1
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    id: 20922303
    index: 2
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1521/4/a/o
    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: 4-39e4-1.1-c3e2-0-2
    motivic_weight: 3
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 3
    - 3
    order_of_vanishing: 0
    prelabel: 4-39e4-1.1-c3e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 9.473220419621383
    root_angle: 0.0
    self_dual: true
    spectral_label: c3e2-0
    trace_hash: 707163817587901561
    z1:
      __RealLiteral__: 0
      data: '0.57034227746350611523180720085'
      prec: 103
- - Lhash: 722994730362148881711032174663,869041134744053308606748475140
    Lhash_array:
    - '722994730362148881711032174663'
    - '869041134744053308606748475140'
    id: 21239293
    label: 4-39e4-1.1-c3e2-0-2
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1521/4/a/o
label_cols:
- label
- label
- label
labels:
- 4-39e4-1.1-c3e2-0-2
- 4-39e4-1.1-c3e2-0-2
- 4-39e4-1.1-c3e2-0-2
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T16:03:51.070365'