data:
- - Lhash: dirichlet_L_147.29
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    - \\zeta_{14}
    conductor: 147
    conductor_radical: 21
    conjugate: dirichlet_L_147.71
    degree: 1
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    gamma_factors:
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    - []
    id: 3938
    index: 0
    label: 1-147-147.29-r1-0-0
    leading_term: 1.21965218531829834451911692244-0.910250082691620038965399982518*I
    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/147/29
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-147-147.29-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.797343944809878
    root_angle: -0.40816326530612246
    root_number: 0.284527586631032441870502993463-0.958667853036660622150983388310*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.204081632653'
      prec: 50
    spectral_label: r1-0
    st_group: mu(14)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.903864462627770131455143515158-0.392597581834809345735131373730*I
    z1:
      __RealLiteral__: 0
      data: '0.896432194704'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.16489111688'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.56638157548'
      prec: 44
- - algebraic: true
    analytic_conductor: 15.797343944809878
    bad_primes:
    - 3
    - 7
    central_character: '147.29'
    conductor: 147
    conductor_radical: 21
    degree: 1
    id: 3938
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/147/29
    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: 1-147-147.29-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: 1-147-147.29-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.797343944809878
    root_angle: -0.20408163265306123
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.896432194704'
      prec: 47
- - Lhash: dirichlet_L_147.29
    Lhash_array:
    - dirichlet_L_147.29
    id: 1785344
    label: 1-147-147.29-r1-0-0
    type: DIR
    url: Character/Dirichlet/147/29
label_cols:
- label
- label
- label
labels:
- 1-147-147.29-r1-0-0
- 1-147-147.29-r1-0-0
- 1-147-147.29-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-18T06:30:06.346165'