data:
- - Lhash: dirichlet_L_143.82
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    central_character: '143.82'
    coeff_info:
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    - \\zeta_{30}
    conductor: 143
    conductor_radical: 143
    conjugate: dirichlet_L_143.75
    degree: 1
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    gamma_factors:
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    - []
    id: 3810
    index: 0
    label: 1-143-143.82-r0-0-0
    leading_term: 0.773456029970291065829942136647-0.581646954042227768310336430634*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/143/82
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-143-143.82-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: -0.4104838370756531
    root_number: 0.277531119652670040009847932083-0.960716647937535922395457605655*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.205241918538'
      prec: 50
    spectral_label: r0-0
    st_group: mu(30)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.856612422094873632611725236439-0.380280882546224955816111236409*I
    z1:
      __RealLiteral__: 0
      data: '1.19913635269'
      prec: 44
    z2:
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      data: '2.59806631602'
      prec: 44
    z3:
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      data: '3.51469234855'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6640892081105222
    bad_primes:
    - 11
    - 13
    central_character: '143.82'
    conductor: 143
    conductor_radical: 143
    degree: 1
    id: 3810
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/143/82
    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: 1-143-143.82-r0-0-0
    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: 1-143-143.82-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: -0.20524191853782656
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.19913635269'
      prec: 44
- - Lhash: dirichlet_L_143.82
    Lhash_array:
    - dirichlet_L_143.82
    id: 1785196
    label: 1-143-143.82-r0-0-0
    type: DIR
    url: Character/Dirichlet/143/82
label_cols:
- label
- label
- label
labels:
- 1-143-143.82-r0-0-0
- 1-143-143.82-r0-0-0
- 1-143-143.82-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-16T15:38:12.432658'