data:
- - Lhash: dirichlet_L_143.76
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    bad_primes:
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    central_character: '143.76'
    coeff_info:
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    - \\zeta_{12}
    conductor: 143
    conductor_radical: 143
    conjugate: dirichlet_L_143.32
    degree: 1
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    gamma_factors:
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    - []
    id: 3806
    index: 0
    label: 1-143-143.76-r0-0-0
    leading_term: 0.751198696860760659558256330695+1.36114233509088605492150626521*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/143/76
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-143-143.76-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.6789578056313995
    root_number: -0.533059471450713987988202974691+0.846077774141766141441138718716*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.339478902816'
      prec: 47
    spectral_label: r0-0
    st_group: mu(12)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.10566889525800655191293762519+0.956653275868727485218031724181*I
    z1:
      __RealLiteral__: 0
      data: '2.62402277341'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.98426000599'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.8576904503'
      prec: 40
- - algebraic: true
    analytic_conductor: 0.6640892081105222
    bad_primes:
    - 11
    - 13
    central_character: '143.76'
    conductor: 143
    conductor_radical: 143
    degree: 1
    id: 3806
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/143/76
    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: 1-143-143.76-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: 1-143-143.76-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.33947890281569976
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.62402277341'
      prec: 44
- - Lhash: dirichlet_L_143.76
    Lhash_array:
    - dirichlet_L_143.76
    id: 1785193
    label: 1-143-143.76-r0-0-0
    type: DIR
    url: Character/Dirichlet/143/76
label_cols:
- label
- label
- label
labels:
- 1-143-143.76-r0-0-0
- 1-143-143.76-r0-0-0
- 1-143-143.76-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T21:02:29.427677'