data:
- - Lhash: dirichlet_L_161.61
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    analytic_conductor: 0.7476808566838746
    analytic_normalization: 0
    bad_lfactors:
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      - - 1
    bad_primes:
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    central_character: '161.61'
    coeff_info:
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    - 0.995471922573085 + 0.0950560433041827*I
    - \\zeta_{66}
    conductor: 161
    conductor_radical: 161
    conjugate: dirichlet_L_161.66
    degree: 1
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    gamma_factors:
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    - []
    id: 4789
    index: 0
    label: 1-161-161.61-r0-0-0
    leading_term: 0.374794047423046850059386647886+1.28198674670514003128741989750*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/161/61
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-161-161.61-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7476808566838746
    root_angle: 0.8189278258000332
    root_number: -0.842518295255289837613543605124+0.538667728901704540844311324361*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.4094639129'
      prec: 40
    spectral_label: r0-0
    st_group: mu(66)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.819078765513455955405071613933+0.952703457362660091626141423920*I
    z1:
      __RealLiteral__: 0
      data: '2.35994995101'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '4.13243264674'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.93802504371'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.7476808566838746
    bad_primes:
    - 7
    - 23
    central_character: '161.61'
    conductor: 161
    conductor_radical: 161
    degree: 1
    id: 4789
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/161/61
    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: 1-161-161.61-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: 1-161-161.61-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.7476808566838746
    root_angle: 0.4094639129000166
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.35994995101'
      prec: 44
- - Lhash: dirichlet_L_161.61
    Lhash_array:
    - dirichlet_L_161.61
    id: 1786164
    label: 1-161-161.61-r0-0-0
    type: DIR
    url: Character/Dirichlet/161/61
label_cols:
- label
- label
- label
labels:
- 1-161-161.61-r0-0-0
- 1-161-161.61-r0-0-0
- 1-161-161.61-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T09:27:31.495599'