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    positive_zeros:
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    - '1.00700972986514381276153319623936'
    - '2.04512602556676338221682428013920'
    - '2.67985413200864269839250476137829'
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    - '9.519403402484082955659663881525746'
    - '9.897584006791258754958413460763071'
    prelabel: 4-1280e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.197006640394088
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 2187226469554785441
    types:
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    z1:
      __RealLiteral__: 0
      data: '0.847842980116801684385043312983'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '1.00700972986514381276153319624'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.04512602556676338221682428014'
      prec: 103
- - algebraic: true
    analytic_conductor: 104.46580454129837
    bad_primes:
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    - 5
    central_character: '1.1'
    conductor: 1638400
    conductor_radical: 10
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
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    euler17:
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    euler37:
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    euler5:
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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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    - - 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
      - -12
      - 166
      - -1068
      - 7921
    - - 1
      - -8
      - 102
      - -776
      - 9409
    id: 20371543
    index: 32
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1280/2/a/b
    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: 4-1280e2-1.1-c1e2-0-32
    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: 4-1280e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.197006640394088
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 2187226469554785441
    z1:
      __RealLiteral__: 0
      data: '0.847842980116801684385043312983'
      prec: 107
- - Lhash: 1074768662644354421206949671072,1276536488499216701281923756967
    Lhash_array:
    - '1074768662644354421206949671072'
    - '1276536488499216701281923756967'
    id: 20687105
    label: 4-1280e2-1.1-c1e2-0-32
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1280/2/a/b
label_cols:
- label
- label
- label
labels:
- 4-1280e2-1.1-c1e2-0-32
- 4-1280e2-1.1-c1e2-0-32
- 4-1280e2-1.1-c1e2-0-32
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T06:58:24.510961'