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    positive_zeros:
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    - '2.20369745859482580075446935401243'
    - '2.97089029988153106957745387557094'
    - '3.34106044768812835192819469994859'
    - '4.41390048360393067481001438310985'
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    - '10.96227984832216863275497415160612'
    - '11.21273078240248233241254584625049'
    prelabel: 4-200e2-1.1-c5e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 5.663635225064917
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c5e2-0
    trace_hash: 2210503114516232869
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.53111696703952827659537950607'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.20369745859482580075446935401'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.97089029988153106957745387557'
      prec: 103
- - algebraic: true
    analytic_conductor: 1028.9187863121062
    bad_primes:
    - 2
    - 5
    central_character: '1.1'
    conductor: 40000
    conductor_radical: 10
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
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    euler23:
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    euler3:
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    euler5:
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    euler53:
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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
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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: 20362367
    index: 6
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/200/6/a/f
    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: 4-200e2-1.1-c5e2-0-6
    motivic_weight: 5
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 5
    - 5
    order_of_vanishing: 2
    prelabel: 4-200e2-1.1-c5e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 5.663635225064917
    root_angle: 0.0
    self_dual: true
    spectral_label: c5e2-0
    trace_hash: 2210503114516232869
    z1:
      __RealLiteral__: 0
      data: '1.53111696703952827659537950607'
      prec: 103
- - Lhash: 1940921342287284152551977775322,2793518406109154635276786514864
    Lhash_array:
    - '1940921342287284152551977775322'
    - '2793518406109154635276786514864'
    id: 20697101
    label: 4-200e2-1.1-c5e2-0-6
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/200/6/a/f
label_cols:
- label
- label
- label
labels:
- 4-200e2-1.1-c5e2-0-6
- 4-200e2-1.1-c5e2-0-6
- 4-200e2-1.1-c5e2-0-6
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T05:28:09.717334'