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    - '5.83878409238956337248852307176371'
    - '6.09472435206819771078002086053891'
    - '6.19228113557220520313158332858135'
    - '6.79963178349652217329348536958667'
    - '7.45630856642643011483008396339215'
    - '7.50122640406391094299576029292938'
    - '8.019660782712146266296032753363226'
    - '8.717394945817194771911214024179399'
    - '8.939932819757655947582294898696435'
    - '9.258486323625683228056617943448421'
    prelabel: 4-39e4-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.4850030340642104
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c1e2-0
    trace_hash: 429928283265998105
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.38935355750951163595138786834'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '2.15683119024263477820965343635'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.61946421446322524837121717635'
      prec: 103
- - algebraic: true
    analytic_conductor: 147.5070039818273
    bad_primes:
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    - 13
    central_character: '1.1'
    conductor: 2313441
    conductor_radical: 39
    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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    euler23:
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    euler29:
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    euler3:
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    - 0
    euler31:
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    - 66
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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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    - 0
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    euler59:
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    euler61:
    - 1
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    euler67:
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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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    id: 20378592
    index: 10
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1521/2/a/j
    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-c1e2-0-10
    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: 2
    prelabel: 4-39e4-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.4850030340642104
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 429928283265998105
    z1:
      __RealLiteral__: 0
      data: '1.38935355750951163595138786834'
      prec: 103
- - Lhash: 1761214871106158261918469660025,2734108352902042413856832650120
    Lhash_array:
    - '1761214871106158261918469660025'
    - '2734108352902042413856832650120'
    id: 20581075
    label: 4-39e4-1.1-c1e2-0-10
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1521/2/a/j
label_cols:
- label
- label
- label
labels:
- 4-39e4-1.1-c1e2-0-10
- 4-39e4-1.1-c1e2-0-10
- 4-39e4-1.1-c1e2-0-10
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T00:53:09.702731'