data:
- - Lhash: dirichlet_L_23.17
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    a8:
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    a9:
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    algebraic: true
    analytic_conductor: 2.4716932702763756
    analytic_normalization: 0
    bad_lfactors:
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      - - 1
    bad_primes:
    - 23
    central_character: '23.17'
    coeff_info:
    - x^22 - 1
    - 0.959492973614497 + 0.281732556841430*I
    - \\zeta_{22}
    conductor: 23
    conductor_radical: 23
    conjugate: dirichlet_L_23.19
    degree: 1
    dirichlet_coefficients:
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    euler_factors:
    - - 1
      - a^14
    - - 1
      - a^2
    - - 1
      - a^7
    - - 1
      - a^1
    - - 1
      - a^19
    - - 1
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    - - 1
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    - - 1
      - a^17
    - - 0
    - - 1
      - a^16
    - - 1
      - a^20
    - - 1
      - a^15
    - - 1
      - a^18
    - - 1
      - a^13
    - - 1
      - a^0
    - - 1
      - a^1
    - - 1
      - a^10
    - - 1
      - a^9
    - - 1
      - a^3
    - - 1
      - a^14
    - - 1
      - a^6
    - - 1
      - a^21
    - - 1
      - a^15
    - - 1
      - a^13
    - - 1
      - a^7
    - - 1
      - a^4
    gamma_factors:
    - - 1
    - []
    id: 92
    index: 0
    label: 1-23-23.17-r1-0-0
    leading_term: 1.19339021503144553560022104297+0.251317068666298718039213797965*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/23/17
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-23-23.17-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.4716932702763756
    root_angle: 0.1321355446219886
    root_number: 0.915069521615451729773555582295+0.403296132650027180366889735987*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.066067772311'
      prec: 47
    spectral_label: r1-0
    st_group: mu(22)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.02477688811909926624645687063+0.0683638770075780041566681347806*I
    z1:
      __RealLiteral__: 0
      data: '2.42280724919'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '4.06368017959'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '7.57658983559'
      prec: 44
- - algebraic: true
    analytic_conductor: 2.4716932702763756
    bad_primes:
    - 23
    central_character: '23.17'
    conductor: 23
    conductor_radical: 23
    degree: 1
    id: 92
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/23/17
    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: 1-23-23.17-r1-0-0
    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
    prelabel: 1-23-23.17-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.4716932702763756
    root_angle: 0.0660677723109943
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '2.42280724919'
      prec: 44
- - Lhash: dirichlet_L_23.17
    Lhash_array:
    - dirichlet_L_23.17
    id: 1781515
    label: 1-23-23.17-r1-0-0
    type: DIR
    url: Character/Dirichlet/23/17
label_cols:
- label
- label
- label
labels:
- 1-23-23.17-r1-0-0
- 1-23-23.17-r1-0-0
- 1-23-23.17-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T13:10:24.791701'