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    id: 129335
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    origin: Character/Dirichlet/837/238
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    sign_arg:
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      data: '-0.490273569156'
      prec: 50
    spectral_label: r1-0
    st_group: mu(90)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.43259075112195126566086207840+0.159983846239884005911998391732*I
    z1:
      __RealLiteral__: 0
      data: '1.77965455131'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.69105542212'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.48858782301'
      prec: 44
- - algebraic: true
    analytic_conductor: 89.94814205310114
    bad_primes:
    - 3
    - 31
    central_character: '837.238'
    conductor: 837
    conductor_radical: 93
    degree: 1
    id: 129335
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/837/238
    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: 1-837-837.238-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: 1-837-837.238-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 89.94814205310114
    root_angle: -0.4902735691561651
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.77965455131'
      prec: 44
- - Lhash: dirichlet_L_837.238
    Lhash_array:
    - dirichlet_L_837.238
    id: 1726114
    label: 1-837-837.238-r1-0-0
    type: DIR
    url: Character/Dirichlet/837/238
label_cols:
- label
- label
- label
labels:
- 1-837-837.238-r1-0-0
- 1-837-837.238-r1-0-0
- 1-837-837.238-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T01:33:02.778551'