data:
- - Lhash: dirichlet_L_27.14
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    algebraic: true
    analytic_conductor: 2.9015529694548756
    analytic_normalization: 0
    bad_lfactors:
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    bad_primes:
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    central_character: '27.14'
    coeff_info:
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    - \\zeta_{18}
    conductor: 27
    conductor_radical: 3
    conjugate: dirichlet_L_27.2
    degree: 1
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    euler_factors:
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      - a^3
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      - a^17
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      - a^15
    - - 1
      - a^14
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    gamma_factors:
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    - []
    id: 126
    index: 0
    label: 1-3e3-27.14-r1-0-0
    leading_term: 2.07110487082764218354163009786-0.893387435194416951730219089459*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/27/14
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-3e3-27.14-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.9015529694548756
    root_angle: -0.25925925925925924
    root_number: 0.686241637868733585729604999617-0.727373641573048695987176417664*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.12962962963'
      prec: 47
    spectral_label: r1-0
    st_group: mu(18)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.69346825743959486300151755899-0.506991114707884784395827774844*I
    z1:
      __RealLiteral__: 0
      data: '1.92612712073'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '4.36520335612'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '5.60170678861'
      prec: 44
- - algebraic: true
    analytic_conductor: 2.9015529694548756
    bad_primes:
    - 3
    central_character: '27.14'
    conductor: 27
    conductor_radical: 3
    degree: 1
    id: 126
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/27/14
    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: 1-3e3-27.14-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: 1-3e3-27.14-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.9015529694548756
    root_angle: -0.12962962962962962
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.92612712073'
      prec: 44
- - Lhash: dirichlet_L_27.14
    Lhash_array:
    - dirichlet_L_27.14
    id: 1781545
    label: 1-3e3-27.14-r1-0-0
    type: DIR
    url: Character/Dirichlet/27/14
label_cols:
- label
- label
- label
labels:
- 1-3e3-27.14-r1-0-0
- 1-3e3-27.14-r1-0-0
- 1-3e3-27.14-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T12:08:21.575793'