data:
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    conductor_radical: 143
    conjugate: dirichlet_L_143.81
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    - []
    id: 3734
    index: 0
    label: 1-143-143.113-r0-0-0
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    load_key: dirichlet
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      prec: 10
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    nu_imag: []
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    order_of_vanishing: 0
    origin: Character/Dirichlet/143/113
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    prelabel: 1-143-143.113-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.30705824106975654
    root_number: 0.569702985226273449590287194532+0.821850660779847798032412880492*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.153529120535'
      prec: 47
    spectral_label: r0-0
    st_group: mu(15)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.973979160494658311221878680203+0.320987768552520676688909916902*I
    z1:
      __RealLiteral__: 0
      data: '1.87326742433'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.91113298008'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.66474492604'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6640892081105222
    bad_primes:
    - 11
    - 13
    central_character: '143.113'
    conductor: 143
    conductor_radical: 143
    degree: 1
    id: 3734
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/143/113
    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: 1-143-143.113-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: 1-143-143.113-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6640892081105222
    root_angle: 0.15352912053487827
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.87326742433'
      prec: 44
- - Lhash: dirichlet_L_143.113
    Lhash_array:
    - dirichlet_L_143.113
    id: 1785217
    label: 1-143-143.113-r0-0-0
    type: DIR
    url: Character/Dirichlet/143/113
label_cols:
- label
- label
- label
labels:
- 1-143-143.113-r0-0-0
- 1-143-143.113-r0-0-0
- 1-143-143.113-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T15:42:28.224605'