data:
- - Lhash: dirichlet_L_161.131
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    central_character: '161.131'
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    - \\zeta_{66}
    conductor: 161
    conductor_radical: 161
    conjugate: dirichlet_L_161.59
    degree: 1
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    gamma_factors:
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    - []
    id: 4735
    index: 0
    label: 1-161-161.131-r1-0-0
    leading_term: 0.271749515109966638482256916986+0.124806184928827047704137289125*I
    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/161/131
    plot_delta:
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      data: '0.3125'
      prec: 20
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    prelabel: 1-161-161.131-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 17.30185289193463
    root_angle: 0.2740873557916048
    root_number: 0.651625578708900067306189050297+0.758540773572713811103329378572*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.137043677896'
      prec: 47
    spectral_label: r1-0
    st_group: mu(66)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.407628547411534183277891752312+0.0277012432009975871467775041547*I
    z1:
      __RealLiteral__: 0
      data: '0.665410192635'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.43137331531'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.70542761167'
      prec: 44
- - algebraic: true
    analytic_conductor: 17.30185289193463
    bad_primes:
    - 7
    - 23
    central_character: '161.131'
    conductor: 161
    conductor_radical: 161
    degree: 1
    id: 4735
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/161/131
    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: 1-161-161.131-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: 1-161-161.131-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 17.30185289193463
    root_angle: 0.1370436778958024
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.665410192635'
      prec: 47
- - Lhash: dirichlet_L_161.131
    Lhash_array:
    - dirichlet_L_161.131
    id: 1786210
    label: 1-161-161.131-r1-0-0
    type: DIR
    url: Character/Dirichlet/161/131
label_cols:
- label
- label
- label
labels:
- 1-161-161.131-r1-0-0
- 1-161-161.131-r1-0-0
- 1-161-161.131-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-17T12:31:32.735451'