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    - '2.79380017391401252581057271807834'
    - '3.58764265288227060549944239864808'
    - '3.74251953912043632090862970788556'
    - '4.26399833840743041121512714889283'
    - '4.82723154636183015778244017958617'
    - '4.90743534700802837146013371229286'
    - '5.65973933473907663686264215653920'
    - '6.09561694328624989070662709821632'
    - '6.30582384584795796831680319875507'
    - '6.56529551810215557679265974917676'
    - '7.20558510921975363480825770449374'
    - '7.51390004933455115710133968593597'
    - '8.075510122668780086156720606333327'
    - '8.137073083253253491128724350536236'
    - '8.555588453497860152279525854744354'
    - '9.062011207109445203086505410563248'
    prelabel: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 1592741717014023026
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.38758943591698438846355927388'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.22884542976667090190598622479'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.05525159075940714512799237288'
      prec: 103
- - algebraic: true
    analytic_conductor: 477.2944672800165
    bad_primes:
    - 2
    - 3
    - 19
    central_character: '1.1'
    conductor: 7485696
    conductor_radical: 114
    degree: 4
    dirichlet_coefficients:
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    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
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    euler11:
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    - -22
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    euler13:
    - 1
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    - 22
    - 0
    - 169
    euler17:
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    euler19:
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    euler2:
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    - 0
    - 0
    euler23:
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    euler29:
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    - -58
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    - 841
    euler3:
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    - 0
    - 0
    - 0
    euler31:
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    - 78
    - -248
    - 961
    euler37:
    - 1
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    - -26
    - 0
    - 1369
    euler41:
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    euler43:
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    euler47:
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    - -94
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    euler5:
    - 1
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    euler53:
    - 1
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    - -106
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    - 2809
    euler59:
    - 1
    - 0
    - 118
    - 0
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    euler61:
    - 1
    - 28
    - 318
    - 1708
    - 3721
    euler67:
    - 1
    - -32
    - 390
    - -2144
    - 4489
    euler7:
    - 1
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    euler71:
    - 1
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    euler73:
    - 1
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    - -1460
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    euler79:
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    - 632
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    euler83:
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    - 0
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    euler89:
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    - 0
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    euler97:
    - 1
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    - 0
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    euler_factors:
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      - 0
      - 0
    - - 1
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      - 0
    - - 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
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    - - 1
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    - - 1
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      - 0
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    - - 1
      - 0
      - 118
      - 0
      - 3481
    - - 1
      - 28
      - 318
      - 1708
      - 3721
    - - 1
      - -32
      - 390
      - -2144
      - 4489
    - - 1
      - 0
      - 142
      - 0
      - 5041
    - - 1
      - -20
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      - -1460
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    - - 1
      - 8
      - 174
      - 632
      - 6241
    - - 1
      - 0
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      - 0
      - 6889
    - - 1
      - 0
      - -178
      - 0
      - 7921
    - - 1
      - 0
      - -2
      - 0
      - 9409
    id: 23260099
    index: 13
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/2736/2/k/c
    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: 4-2736e2-1.1-c1e2-0-13
    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: 4-2736e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 1592741717014023026
    z1:
      __RealLiteral__: 0
      data: '0.38758943591698438846355927388'
      prec: 103
- - Lhash: 491327981082286115212242139571,1557746646631436885771270915034
    Lhash_array:
    - '491327981082286115212242139571'
    - '1557746646631436885771270915034'
    id: 23572404
    label: 4-2736e2-1.1-c1e2-0-13
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/k/c
label_cols:
- label
- label
- label
labels:
- 4-2736e2-1.1-c1e2-0-13
- 4-2736e2-1.1-c1e2-0-13
- 4-2736e2-1.1-c1e2-0-13
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T14:53:56.357834'