data:
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    coeff_info:
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    - \\zeta_{42}
    conductor: 147
    conductor_radical: 21
    conjugate: dirichlet_L_147.26
    degree: 1
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    gamma_factors:
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    - []
    id: 3933
    index: 0
    label: 1-147-147.17-r0-0-0
    leading_term: 1.80109769778837866453670960622-0.718007446015638547274635246008*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/147/17
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-147-147.17-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6826651300157116
    root_angle: -0.24149659863945577
    root_number: 0.725742044618282028876263223792-0.687966921205718681469246518198*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.12074829932'
      prec: 47
    spectral_label: r0-0
    st_group: mu(42)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.71547122040234246539804927809-0.429486235396165348987831053843*I
    z1:
      __RealLiteral__: 0
      data: '1.56872075272'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.03453215363'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.65930697042'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6826651300157116
    bad_primes:
    - 3
    - 7
    central_character: '147.17'
    conductor: 147
    conductor_radical: 21
    degree: 1
    id: 3933
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/147/17
    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: 1-147-147.17-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: 1-147-147.17-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6826651300157116
    root_angle: -0.12074829931972789
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.56872075272'
      prec: 44
- - Lhash: dirichlet_L_147.17
    Lhash_array:
    - dirichlet_L_147.17
    id: 1785340
    label: 1-147-147.17-r0-0-0
    type: DIR
    url: Character/Dirichlet/147/17
label_cols:
- label
- label
- label
labels:
- 1-147-147.17-r0-0-0
- 1-147-147.17-r0-0-0
- 1-147-147.17-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T17:05:13.409590'