data:
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    conductor: 837
    conductor_radical: 93
    conjugate: dirichlet_L_837.112
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    - []
    id: 129291
    index: 0
    label: 1-837-837.142-r0-0-0
    leading_term: 0.486792199964745756853075006264+0.0495092987563372925591199289773*I
    load_key: dirichlet
    motivic_weight: 0
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      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
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    order_of_vanishing: 0
    origin: Character/Dirichlet/837/142
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      data: '0.3125'
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    sign_arg:
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      data: '0.0322628345959'
      prec: 50
    spectral_label: r0-0
    st_group: mu(45)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.565785815291064432268608550897-0.261348864621943275965011415550*I
    z1:
      __RealLiteral__: 0
      data: '0.960699829137'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.22318980723'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.09185107196'
      prec: 44
- - algebraic: true
    analytic_conductor: 3.8870116586608887
    bad_primes:
    - 3
    - 31
    central_character: '837.142'
    conductor: 837
    conductor_radical: 93
    degree: 1
    id: 129291
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/837/142
    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: 1-837-837.142-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: 1-837-837.142-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.8870116586608887
    root_angle: 0.03226283459591672
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.960699829137'
      prec: 47
- - Lhash: dirichlet_L_837.142
    Lhash_array:
    - dirichlet_L_837.142
    id: 1726075
    label: 1-837-837.142-r0-0-0
    type: DIR
    url: Character/Dirichlet/837/142
label_cols:
- label
- label
- label
labels:
- 1-837-837.142-r0-0-0
- 1-837-837.142-r0-0-0
- 1-837-837.142-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-16T04:34:58.789877'