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    positive_zeros:
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    - '0.948106115100228775667493297987296'
    - '1.94523409503151156779672443085291'
    - '2.05473703962203636975436807099108'
    - '2.51315983834014644421953462581702'
    - '3.17599333462056849505940543694554'
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    - '5.27119743145281330252013925459401'
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    - '7.46624840873072606194571742725088'
    - '8.138629231776818740532688947296117'
    - '8.321283515254136534043356839555687'
    prelabel: 4-72e4-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 6.433851755195466
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 852847239903369537
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.36310467537596153058026890106'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.948106115100228775667493297987'
      prec: 107
    z3:
      __RealLiteral__: 0
      data: '1.94523409503151156779672443085'
      prec: 103
- - algebraic: true
    analytic_conductor: 1713.5003589886464
    bad_primes:
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    - 3
    central_character: '1.1'
    conductor: 26873856
    conductor_radical: 6
    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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    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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    euler7:
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    euler71:
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    euler73:
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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
      - -1
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    - - 1
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    - - 1
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      - -568
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    - - 1
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      - 511
      - 5329
    - - 1
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      - 162
      - -553
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    - - 1
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      - -2075
      - 6889
    - - 1
      - -12
      - 214
      - -1068
      - 7921
    - - 1
      - 8
      - 177
      - 776
      - 9409
    id: 21193328
    index: 3
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/5184/2/a/bs
    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: 4-72e4-1.1-c1e2-0-3
    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: 4-72e4-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 6.433851755195466
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 852847239903369537
    z1:
      __RealLiteral__: 0
      data: '0.36310467537596153058026890106'
      prec: 103
- - Lhash: 460289859686014022558706626654,1201867285886859758816852894530
    Lhash_array:
    - '460289859686014022558706626654'
    - '1201867285886859758816852894530'
    id: 21449632
    label: 4-72e4-1.1-c1e2-0-3
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/5184/2/a/bs
label_cols:
- label
- label
- label
labels:
- 4-72e4-1.1-c1e2-0-3
- 4-72e4-1.1-c1e2-0-3
- 4-72e4-1.1-c1e2-0-3
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-20T23:04:07.873822'