data:
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    - \\zeta_{42}
    conductor: 147
    conductor_radical: 21
    conjugate: dirichlet_L_147.2
    degree: 1
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    gamma_factors:
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    - []
    id: 3950
    index: 0
    label: 1-147-147.74-r1-0-0
    leading_term: 0.248133678858021104385779105033+0.409322456965132545700120135413*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/147/74
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      data: '0.3125'
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    prelabel: 1-147-147.74-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.797343944809878
    root_angle: 0.6530612244897959
    root_number: -0.462538290240835277697105646430+0.886599306373000060056149286517*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.326530612245'
      prec: 47
    spectral_label: r1-0
    st_group: mu(42)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.539461104554170273332833223856+0.117861334877359839755663460680*I
    z1:
      __RealLiteral__: 0
      data: '1.09912294442'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.13617205245'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.86527634003'
      prec: 44
- - algebraic: true
    analytic_conductor: 15.797343944809878
    bad_primes:
    - 3
    - 7
    central_character: '147.74'
    conductor: 147
    conductor_radical: 21
    degree: 1
    id: 3950
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/147/74
    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: 1-147-147.74-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: 1-147-147.74-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.797343944809878
    root_angle: 0.32653061224489793
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.09912294442'
      prec: 44
- - Lhash: dirichlet_L_147.74
    Lhash_array:
    - dirichlet_L_147.74
    id: 1785355
    label: 1-147-147.74-r1-0-0
    type: DIR
    url: Character/Dirichlet/147/74
label_cols:
- label
- label
- label
labels:
- 1-147-147.74-r1-0-0
- 1-147-147.74-r1-0-0
- 1-147-147.74-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-15T01:31:59.454909'