data:
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    conductor: 177
    conductor_radical: 177
    conjugate: dirichlet_L_177.26
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    - []
    id: 5772
    index: 0
    label: 1-177-177.143-r1-0-0
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    load_key: dirichlet
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      data: '0.0'
      prec: 10
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    order_of_vanishing: 0
    origin: Character/Dirichlet/177/143
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    prelabel: 1-177-177.143-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 19.021291688648628
    root_angle: 0.5803167092253317
    root_number: -0.249653476428574038881447757813+0.968335242417174149787922751574*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.290158354613'
      prec: 47
    spectral_label: r1-0
    st_group: mu(58)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.467731119679272412310167485523-0.510215144580096812958424033600*I
    z1:
      __RealLiteral__: 0
      data: '0.214004552641'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.30211077338'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.97188034289'
      prec: 44
- - algebraic: true
    analytic_conductor: 19.021291688648628
    bad_primes:
    - 3
    - 59
    central_character: '177.143'
    conductor: 177
    conductor_radical: 177
    degree: 1
    id: 5772
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/177/143
    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: 1-177-177.143-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-177-177.143-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 19.021291688648628
    root_angle: 0.29015835461266587
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.214004552641'
      prec: 47
- - Lhash: dirichlet_L_177.143
    Lhash_array:
    - dirichlet_L_177.143
    id: 1787217
    label: 1-177-177.143-r1-0-0
    type: DIR
    url: Character/Dirichlet/177/143
label_cols:
- label
- label
- label
labels:
- 1-177-177.143-r1-0-0
- 1-177-177.143-r1-0-0
- 1-177-177.143-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T14:46:53.623493'