data:
- - Lhash: dirichlet_L_147.5
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    a9:
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    algebraic: true
    analytic_conductor: 0.6826651300157116
    analytic_normalization: 0
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      - - 1
    bad_primes:
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    central_character: '147.5'
    coeff_info:
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    - 0.988830826225129 + 0.149042266176174*I
    - \\zeta_{42}
    conductor: 147
    conductor_radical: 21
    conjugate: dirichlet_L_147.59
    degree: 1
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    euler_factors:
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      - a^16
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    gamma_factors:
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    - []
    id: 3944
    index: 0
    label: 1-147-147.5-r0-0-0
    leading_term: 0.625044403491457586624365539551-0.0771978238203735164391943089686*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/147/5
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-147-147.5-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6826651300157116
    root_angle: -0.0782312925170068
    root_number: 0.969950061278416807934283432993-0.243304086743308689627615364703*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.0391156462585'
      prec: 54
    spectral_label: r0-0
    st_group: mu(42)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.655286889023328179356500871076+0.000936243775465598070667380590864*I
    z1:
      __RealLiteral__: 0
      data: '0.933619498113'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.83591344808'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.49470973844'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6826651300157116
    bad_primes:
    - 3
    - 7
    central_character: '147.5'
    conductor: 147
    conductor_radical: 21
    degree: 1
    id: 3944
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/147/5
    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: 1-147-147.5-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: 1-147-147.5-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6826651300157116
    root_angle: -0.0391156462585034
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.933619498113'
      prec: 47
- - Lhash: dirichlet_L_147.5
    Lhash_array:
    - dirichlet_L_147.5
    id: 1785337
    label: 1-147-147.5-r0-0-0
    type: DIR
    url: Character/Dirichlet/147/5
label_cols:
- label
- label
- label
labels:
- 1-147-147.5-r0-0-0
- 1-147-147.5-r0-0-0
- 1-147-147.5-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T09:06:15.204320'