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    positive_zeros:
    - '0.58244129014888587342252076828357'
    - '0.998216983262098798233120834661688'
    - '2.15113593829640636363996300450576'
    - '2.54093920856658529073826340380292'
    - '3.59965430816273419096247497725435'
    - '3.72835706033966006853332815738901'
    - '4.20249564433908539379775542484639'
    - '4.48531479108800978823334132248868'
    - '5.24169675575209242293511872037361'
    - '5.42673022080874236713083437174242'
    - '5.86759524499834832980391948758029'
    - '6.20338026813584923889916123381903'
    - '6.90785819662818302222573672090319'
    - '7.57777450618659838656119570440558'
    - '7.72536714583701354336606708079181'
    - '8.016079466379376999417096621776921'
    - '8.728135637863489422975384731819792'
    - '8.822791374383340678835143040773690'
    - '9.278550982516379096278423471451782'
    - '9.539231180083738508171994864326965'
    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: 0
    spectral_label: c1e2-0
    trace_hash: 1786284169322408507
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.58244129014888587342252076828'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '0.998216983262098798233120834662'
      prec: 107
    z3:
      __RealLiteral__: 0
      data: '2.15113593829640636363996300451'
      prec: 103
- - algebraic: true
    analytic_conductor: 147.5070039818273
    bad_primes:
    - 3
    - 13
    central_character: '1.1'
    conductor: 2313441
    conductor_radical: 39
    degree: 4
    dirichlet_coefficients:
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    euler11:
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    euler13:
    - 1
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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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    - -1118
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    euler47:
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    euler5:
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    euler53:
    - 1
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    - 0
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    euler59:
    - 1
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    euler61:
    - 1
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    - -1586
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    euler67:
    - 1
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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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    - - 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
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    - - 1
      - 0
      - 178
      - 0
      - 7921
    - - 1
      - 0
      - -169
      - 0
      - 9409
    id: 20378827
    index: 4
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1521/2/a/i
    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-c1e2-0-4
    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: 4-39e4-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.4850030340642104
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1786284169322408507
    z1:
      __RealLiteral__: 0
      data: '0.58244129014888587342252076828'
      prec: 103
- - Lhash: 738332051054939493833230384896,1265390357990211963493247975902
    Lhash_array:
    - '738332051054939493833230384896'
    - '1265390357990211963493247975902'
    id: 20603801
    label: 4-39e4-1.1-c1e2-0-4
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1521/2/a/i
label_cols:
- label
- label
- label
labels:
- 4-39e4-1.1-c1e2-0-4
- 4-39e4-1.1-c1e2-0-4
- 4-39e4-1.1-c1e2-0-4
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T09:57:52.560944'