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    positive_zeros:
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    - '1.17250722444305766221799270435335'
    - '2.08450207806930729844466128051617'
    - '2.12309838856867539168310622013751'
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    - '8.379771143879936210409614059626942'
    - '8.746604429847896594359142399061778'
    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: 0
    spectral_label: c1e2-0
    trace_hash: 1594761846364483736
    types:
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    z1:
      __RealLiteral__: 0
      data: '0.23297870543730096797677302709'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.17250722444305766221799270435'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.08450207806930729844466128052'
      prec: 103
- - algebraic: true
    analytic_conductor: 477.2944672800165
    bad_primes:
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    - 3
    - 19
    central_character: '1.1'
    conductor: 7485696
    conductor_radical: 114
    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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    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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    euler89:
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    euler97:
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    euler_factors:
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      - -1068
      - 7921
    - - 1
      - -2
      - -93
      - -194
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    id: 23579180
    index: 5
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2736/2/s/b
    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-c1e2-0-5
    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: 0
    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: 1594761846364483736
    z1:
      __RealLiteral__: 0
      data: '0.23297870543730096797677302709'
      prec: 103
- - Lhash: 295335595787990424939769026610,1486329486837177333430435488033
    Lhash_array:
    - '295335595787990424939769026610'
    - '1486329486837177333430435488033'
    id: 23944399
    label: 4-2736e2-1.1-c1e2-0-5
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/s/b
label_cols:
- label
- label
- label
labels:
- 4-2736e2-1.1-c1e2-0-5
- 4-2736e2-1.1-c1e2-0-5
- 4-2736e2-1.1-c1e2-0-5
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T17:41:37.547311'