data:
- - Lhash: dirichlet_L_19.17
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    algebraic: true
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    analytic_normalization: 0
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    central_character: '19.17'
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    - \\zeta_{9}
    conductor: 19
    conductor_radical: 19
    conjugate: dirichlet_L_19.9
    degree: 1
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    gamma_factors:
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    - []
    id: 67
    index: 0
    label: 1-19-19.17-r0-0-0
    leading_term: 0.481359778359600400522364782930+0.0809597232693090561359078665194*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/19/17
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-19-19.17-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.08823562904964981
    root_angle: 0.10608002469196787
    root_number: 0.944980864034573771287316164987+0.327125612889713054142581920436*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.053040012346'
      prec: 47
    spectral_label: r0-0
    st_group: mu(9)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.680620362658866176300685916428+0.0715457394267178453903388447671*I
    z1:
      __RealLiteral__: 0
      data: '2.87454712438'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '5.65645229757'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '8.56898944616'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.08823562904964981
    bad_primes:
    - 19
    central_character: '19.17'
    conductor: 19
    conductor_radical: 19
    degree: 1
    id: 67
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/19/17
    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: 1-19-19.17-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: 1-19-19.17-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.08823562904964981
    root_angle: 0.05304001234598393
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.87454712438'
      prec: 44
- - Lhash: dirichlet_L_19.17
    Lhash_array:
    - dirichlet_L_19.17
    id: 1781490
    label: 1-19-19.17-r0-0-0
    type: DIR
    url: Character/Dirichlet/19/17
label_cols:
- label
- label
- label
labels:
- 1-19-19.17-r0-0-0
- 1-19-19.17-r0-0-0
- 1-19-19.17-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T13:03:43.413833'