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    - '8.946466158605900879370401918340479'
    - '8.966862554402244302870855110683102'
    prelabel: 8-1805e4-1.1-c1e4-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.7964453854679796
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: c1e4-0
    trace_hash: 801064477104425623
    types:
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    z1:
      __RealLiteral__: 0
      data: '0.877302181015217455908674217002'
      prec: 107
    z2:
      __RealLiteral__: 0
      data: '1.14823418666610834223641204809'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '1.98623982132437163945892345415'
      prec: 103
- - algebraic: true
    analytic_conductor: 43153.62199339725
    bad_primes:
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    - 19
    central_character: '1.1'
    conductor: 10614726900625
    conductor_radical: 95
    degree: 8
    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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    euler29:
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    euler3:
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    euler5:
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    euler53:
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    euler61:
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    euler67:
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    euler7:
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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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      - 363
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      - 51729
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      - 3415467
      - 0
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    id: 20368130
    index: 3
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1805/2/a/l
    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: 8-1805e4-1.1-c1e4-0-3
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
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    - 1
    - 1
    - 1
    order_of_vanishing: 4
    prelabel: 8-1805e4-1.1-c1e4-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.7964453854679796
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e4-0
    trace_hash: 801064477104425623
    z1:
      __RealLiteral__: 0
      data: '0.877302181015217455908674217002'
      prec: 107
- - Lhash: 1112112636345475168817959873627,1455559755929865040901852769601,2517858101699050829032868043876,3345780792400665525884005827786
    Lhash_array:
    - '1112112636345475168817959873627'
    - '1455559755929865040901852769601'
    - '2517858101699050829032868043876'
    - '3345780792400665525884005827786'
    id: 20735252
    label: 8-1805e4-1.1-c1e4-0-3
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1805/2/a/l
label_cols:
- label
- label
- label
labels:
- 8-1805e4-1.1-c1e4-0-3
- 8-1805e4-1.1-c1e4-0-3
- 8-1805e4-1.1-c1e4-0-3
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T23:43:52.250335'