data:
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    central_character: '143.141'
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    - \\zeta_{60}
    conductor: 143
    conductor_radical: 143
    conjugate: dirichlet_L_143.71
    degree: 1
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    gamma_factors:
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    - []
    id: 3754
    index: 0
    label: 1-143-143.141-r1-0-0
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    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
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      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/143/141
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-143-143.141-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.367484245631378
    root_angle: -0.4064764545078141
    root_number: 0.289603809875946554027481856925-0.957146610141485378691950572345*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.203238227254'
      prec: 50
    spectral_label: r1-0
    st_group: mu(60)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.831349777985130406099333444122+0.418536628286197787423941035485*I
    z1:
      __RealLiteral__: 0
      data: '0.123648517252'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '3.03105678808'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.22022197818'
      prec: 44
- - algebraic: true
    analytic_conductor: 15.367484245631378
    bad_primes:
    - 11
    - 13
    central_character: '143.141'
    conductor: 143
    conductor_radical: 143
    degree: 1
    id: 3754
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/143/141
    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: 1-143-143.141-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: 1-143-143.141-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.367484245631378
    root_angle: -0.20323822725390706
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.123648517252'
      prec: 47
- - Lhash: dirichlet_L_143.141
    Lhash_array:
    - dirichlet_L_143.141
    id: 1785237
    label: 1-143-143.141-r1-0-0
    type: DIR
    url: Character/Dirichlet/143/141
label_cols:
- label
- label
- label
labels:
- 1-143-143.141-r1-0-0
- 1-143-143.141-r1-0-0
- 1-143-143.141-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T05:55:03.482983'