data:
- - Lhash: dirichlet_L_67.9
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    algebraic: true
    analytic_conductor: 0.311146691911923
    analytic_normalization: 0
    bad_lfactors:
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    bad_primes:
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    central_character: '67.9'
    coeff_info:
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    - 0.841253532831181 + 0.540640817455598*I
    - \\zeta_{11}
    conductor: 67
    conductor_radical: 67
    conjugate: dirichlet_L_67.15
    degree: 1
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    gamma_factors:
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    - []
    id: 854
    index: 0
    label: 1-67-67.9-r0-0-0
    leading_term: 0.926506545520910456037637194676+0.896613854674280530665451115391*I
    load_key: dirichlet
    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
    origin: Character/Dirichlet/67/9
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-67-67.9-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.311146691911923
    root_angle: 0.4895626350693837
    root_number: 0.0327840734510486795326576734401+0.999462457788163369453430646292*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.244781317535'
      prec: 47
    spectral_label: r0-0
    st_group: mu(11)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.15473631937025417021386134531+0.746288155361762605752718618618*I
    z1:
      __RealLiteral__: 0
      data: '2.8195079379'
      prec: 40
    z2:
      __RealLiteral__: 0
      data: '4.55681601999'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '5.38956917428'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.311146691911923
    bad_primes:
    - 67
    central_character: '67.9'
    conductor: 67
    conductor_radical: 67
    degree: 1
    id: 854
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/67/9
    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: 1-67-67.9-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: 1-67-67.9-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.311146691911923
    root_angle: 0.24478131753469184
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.8195079379'
      prec: 40
- - Lhash: dirichlet_L_67.9
    Lhash_array:
    - dirichlet_L_67.9
    id: 1782212
    label: 1-67-67.9-r0-0-0
    type: DIR
    url: Character/Dirichlet/67/9
label_cols:
- label
- label
- label
labels:
- 1-67-67.9-r0-0-0
- 1-67-67.9-r0-0-0
- 1-67-67.9-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-22T17:31:41.588888'