data:
- - Lhash: dirichlet_L_161.136
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    central_character: '161.136'
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    - \\zeta_{66}
    conductor: 161
    conductor_radical: 161
    conjugate: dirichlet_L_161.103
    degree: 1
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    - []
    id: 4738
    index: 0
    label: 1-161-161.136-r0-0-0
    leading_term: 0.274578983450964121508597619264-0.297949050892251073316909013590*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/161/136
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      __RealLiteral__: 0
      data: '0.3125'
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    prelabel: 1-161-161.136-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7476808566838746
    root_angle: -0.525971814882527
    root_number: -0.0815023603096897737715728640993-0.996673148662062383868531323780*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.262985907441'
      prec: 50
    spectral_label: r0-0
    st_group: mu(66)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.457673247363853215262761549884-0.153811332521059557556647175642*I
    z1:
      __RealLiteral__: 0
      data: '0.574130428886'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.22421344364'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.84916409392'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.7476808566838746
    bad_primes:
    - 7
    - 23
    central_character: '161.136'
    conductor: 161
    conductor_radical: 161
    degree: 1
    id: 4738
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/161/136
    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: 1-161-161.136-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: 1-161-161.136-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7476808566838746
    root_angle: -0.2629859074412635
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.574130428886'
      prec: 47
- - Lhash: dirichlet_L_161.136
    Lhash_array:
    - dirichlet_L_161.136
    id: 1786213
    label: 1-161-161.136-r0-0-0
    type: DIR
    url: Character/Dirichlet/161/136
label_cols:
- label
- label
- label
labels:
- 1-161-161.136-r0-0-0
- 1-161-161.136-r0-0-0
- 1-161-161.136-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-21T00:03:56.526240'