data:
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    conjugate: dirichlet_L_712.597
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    - []
    id: 93661
    index: 0
    label: 1-712-712.421-r1-0-0
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    load_key: dirichlet
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      prec: 10
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    order_of_vanishing: 0
    origin: Character/Dirichlet/712/421
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    z1:
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      data: '0.0605191159773'
      prec: 50
    z2:
      __RealLiteral__: 0
      data: '1.10939913312'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.60178799104'
      prec: 44
- - algebraic: true
    analytic_conductor: 76.51502645377302
    bad_primes:
    - 2
    - 89
    central_character: '712.421'
    conductor: 712
    conductor_radical: 178
    degree: 1
    id: 93661
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/712/421
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    is_instance_DIR: true
    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: 1-712-712.421-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-712-712.421-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 76.51502645377302
    root_angle: -0.425134723352251
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.0605191159773'
      prec: 50
- - Lhash: dirichlet_L_712.421
    Lhash_array:
    - dirichlet_L_712.421
    id: 1875094
    label: 1-712-712.421-r1-0-0
    type: DIR
    url: Character/Dirichlet/712/421
label_cols:
- label
- label
- label
labels:
- 1-712-712.421-r1-0-0
- 1-712-712.421-r1-0-0
- 1-712-712.421-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T17:43:47.835948'