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    positive_zeros:
    - '0.868387995510878913450839233923205'
    - '1.75206183071507496831304329490689'
    - '1.79926170213146696960084929396060'
    - '3.24554637044310628553852979076149'
    - '3.42725120732277916088107447536083'
    - '4.05035672074264593152838961880355'
    - '4.40768063736441103055922973967120'
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    - '5.77642914467062816249419478090727'
    - '6.19626198096216368649407430672707'
    - '6.75263552876485218216078419294208'
    - '6.88366514467458759264822792460474'
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    - '8.333479885990558255116293997436099'
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    - '9.397071014794155632236721369133323'
    - '9.693456368266116561304895484404791'
    - '10.33475460401745601792993923074084'
    prelabel: 4-1045e2-1.1-c0e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 0.7221654507115994
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c0e2-0
    trace_hash: 473357980046855311
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.868387995510878913450839233923'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '1.75206183071507496831304329491'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '1.79926170213146696960084929396'
      prec: 103
- - algebraic: true
    analytic_conductor: 0.27198617507031264
    bad_primes:
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    - 11
    - 19
    central_character: '1.1'
    conductor: 1092025
    conductor_radical: 1045
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
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    euler19:
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    euler2:
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    euler43:
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    euler47:
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    euler53:
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    id: 19476511
    index: 0
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1045/1/k/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: 4-1045e2-1.1-c0e2-0-0
    motivic_weight: 0
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 0
    - 0
    order_of_vanishing: 0
    prelabel: 4-1045e2-1.1-c0e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 0.7221654507115994
    root_angle: 0.0
    self_dual: true
    spectral_label: c0e2-0
    trace_hash: 473357980046855311
    z1:
      __RealLiteral__: 0
      data: '0.868387995510878913450839233923'
      prec: 107
- - Lhash: 1100812563740354633645674109667,2221002231342935235636330009636
    Lhash_array:
    - '1100812563740354633645674109667'
    - '2221002231342935235636330009636'
    id: 19842910
    label: 4-1045e2-1.1-c0e2-0-0
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1045/1/k/a
label_cols:
- label
- label
- label
labels:
- 4-1045e2-1.1-c0e2-0-0
- 4-1045e2-1.1-c0e2-0-0
- 4-1045e2-1.1-c0e2-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T21:03:01.464102'