data:
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    conductor_radical: 93
    conjugate: dirichlet_L_837.761
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    - []
    id: 129274
    index: 0
    label: 1-837-837.11-r0-0-0
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    load_key: dirichlet
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      data: '0.0'
      prec: 10
    mu_real:
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    order_of_vanishing: 0
    origin: Character/Dirichlet/837/11
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    sign_arg:
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      data: '0.220893975235'
      prec: 47
    spectral_label: r0-0
    st_group: mu(90)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.77320164800967702697534780053+0.903038975261062038826393760182*I
    z1:
      __RealLiteral__: 0
      data: '1.56577468219'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.33439542759'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.87854707937'
      prec: 44
- - algebraic: true
    analytic_conductor: 3.8870116586608887
    bad_primes:
    - 3
    - 31
    central_character: '837.11'
    conductor: 837
    conductor_radical: 93
    degree: 1
    id: 129274
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/837/11
    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: 1-837-837.11-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: 1-837-837.11-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.8870116586608887
    root_angle: 0.22089397523529106
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.56577468219'
      prec: 44
- - Lhash: dirichlet_L_837.11
    Lhash_array:
    - dirichlet_L_837.11
    id: 1726020
    label: 1-837-837.11-r0-0-0
    type: DIR
    url: Character/Dirichlet/837/11
label_cols:
- label
- label
- label
labels:
- 1-837-837.11-r0-0-0
- 1-837-837.11-r0-0-0
- 1-837-837.11-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-23T23:36:25.433906'