data:
- - Lhash: dirichlet_L_195.23
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    analytic_normalization: 0
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    central_character: '195.23'
    coeff_info:
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    - \\zeta_{12}
    conductor: 195
    conductor_radical: 195
    conjugate: dirichlet_L_195.17
    degree: 1
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      - a^3
    - - 1
      - a^10
    - - 1
      - a^11
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    gamma_factors:
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    - []
    id: 7042
    index: 0
    label: 1-195-195.23-r0-0-0
    leading_term: 1.73552573000783208540827124349+0.953083743859760218538040453310*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/195/23
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-195-195.23-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.9055761928779849
    root_angle: 0.31970990604008326
    root_number: 0.536596056561438839310741328159+0.843839245403242151177419513698*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.15985495302'
      prec: 44
    spectral_label: r0-0
    st_group: mu(12)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.62005008667186804686658581163+0.588235281419451737675313120251*I
    z1:
      __RealLiteral__: 0
      data: '1.91875548305'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.38282222551'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.69959466225'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.9055761928779849
    bad_primes:
    - 3
    - 5
    - 13
    central_character: '195.23'
    conductor: 195
    conductor_radical: 195
    degree: 1
    id: 7042
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/195/23
    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: 1-195-195.23-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: 1-195-195.23-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.9055761928779849
    root_angle: 0.15985495302004163
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.91875548305'
      prec: 44
- - Lhash: dirichlet_L_195.23
    Lhash_array:
    - dirichlet_L_195.23
    id: 1788442
    label: 1-195-195.23-r0-0-0
    type: DIR
    url: Character/Dirichlet/195/23
label_cols:
- label
- label
- label
labels:
- 1-195-195.23-r0-0-0
- 1-195-195.23-r0-0-0
- 1-195-195.23-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T03:01:47.969376'