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    positive_zeros:
    - '0.62448721802453955512396882995056'
    - '0.813828937525400171009416244285778'
    - '1.59272909353369140486450796569664'
    - '2.19555752122016092262001852524220'
    - '2.66683924418493550889596527713778'
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    - '8.582577335381216807710173931707140'
    - '8.657125988312815435372014826257049'
    prelabel: 4-3822e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 5.5243844591531985
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 1749297028203542670
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.62448721802453955512396882995'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.813828937525400171009416244286'
      prec: 107
    z3:
      __RealLiteral__: 0
      data: '1.59272909353369140486450796570'
      prec: 103
- - algebraic: true
    analytic_conductor: 931.3985971344308
    bad_primes:
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    - 3
    - 7
    - 13
    central_character: '1.1'
    conductor: 14607684
    conductor_radical: 546
    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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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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    - - 1
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      - 78
      - 0
      - 7921
    - - 1
      - 0
      - -190
      - 0
      - 9409
    id: 23573758
    index: 4
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/3822/2/c/a
    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: 4-3822e2-1.1-c1e2-0-4
    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: 4-3822e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 5.5243844591531985
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1749297028203542670
    z1:
      __RealLiteral__: 0
      data: '0.62448721802453955512396882995'
      prec: 103
- - Lhash: 791631596763664725788714030544,1031650741137175733352309052930
    Lhash_array:
    - '791631596763664725788714030544'
    - '1031650741137175733352309052930'
    id: 23906784
    label: 4-3822e2-1.1-c1e2-0-4
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/3822/2/c/a
label_cols:
- label
- label
- label
labels:
- 4-3822e2-1.1-c1e2-0-4
- 4-3822e2-1.1-c1e2-0-4
- 4-3822e2-1.1-c1e2-0-4
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T12:27:19.280012'