data:
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    - \\zeta_{60}
    conductor: 143
    conductor_radical: 143
    conjugate: dirichlet_L_143.24
    degree: 1
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    - []
    id: 3791
    index: 0
    label: 1-143-143.6-r0-0-0
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    load_key: dirichlet
    motivic_weight: 0
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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/143/6
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-143-143.6-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.028040460025043543
    root_number: 0.996122434425608664111562302689+0.0879778133053951674895310236546*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0140202300125'
      prec: 50
    spectral_label: r0-0
    st_group: mu(60)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.989934761115656079785850807329+0.117361600213363923769875911749*I
    z1:
      __RealLiteral__: 0
      data: '1.18571385808'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.12446606765'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.65333026799'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6640892081105222
    bad_primes:
    - 11
    - 13
    central_character: '143.6'
    conductor: 143
    conductor_radical: 143
    degree: 1
    id: 3791
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/143/6
    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: 1-143-143.6-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-143-143.6-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.014020230012521772
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.18571385808'
      prec: 44
- - Lhash: dirichlet_L_143.6
    Lhash_array:
    - dirichlet_L_143.6
    id: 1785144
    label: 1-143-143.6-r0-0-0
    type: DIR
    url: Character/Dirichlet/143/6
label_cols:
- label
- label
- label
labels:
- 1-143-143.6-r0-0-0
- 1-143-143.6-r0-0-0
- 1-143-143.6-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T03:52:17.320922'