data:
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    conjugate: dirichlet_L_171.14
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    - []
    id: 5366
    index: 0
    label: 1-171-171.110-r0-0-0
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    load_key: dirichlet
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      data: '0.0'
      prec: 10
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    origin: Character/Dirichlet/171/110
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    prelabel: 1-171-171.110-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7941206614468482
    root_angle: 0.57278437448142
    root_number: -0.226671492217775644417065872273+0.973971269912910149527528437047*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.286392187241'
      prec: 47
    spectral_label: r0-0
    st_group: mu(18)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.511022284386408055365818657057-0.265683011771992685201030389840*I
    z1:
      __RealLiteral__: 0
      data: '2.07851016817'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.26239840954'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.64336724759'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.7941206614468482
    bad_primes:
    - 3
    - 19
    central_character: '171.110'
    conductor: 171
    conductor_radical: 57
    degree: 1
    id: 5366
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/171/110
    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: 1-171-171.110-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-171-171.110-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7941206614468482
    root_angle: 0.28639218724071
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.07851016817'
      prec: 44
- - Lhash: dirichlet_L_171.110
    Lhash_array:
    - dirichlet_L_171.110
    id: 1786818
    label: 1-171-171.110-r0-0-0
    type: DIR
    url: Character/Dirichlet/171/110
label_cols:
- label
- label
- label
labels:
- 1-171-171.110-r0-0-0
- 1-171-171.110-r0-0-0
- 1-171-171.110-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T00:13:01.425711'