data:
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    - \\zeta_{42}
    conductor: 196
    conductor_radical: 14
    conjugate: dirichlet_L_196.191
    degree: 1
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    - []
    id: 7082
    index: 0
    label: 1-14e2-196.39-r1-0-0
    leading_term: 1.16611096661213688887937720462+0.279299612917982896539657012312*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/196/39
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      data: '0.3125'
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    prelabel: 1-14e2-196.39-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 21.063125259746503
    root_angle: 0.14965986394557826
    root_number: 0.891491135545289584096248464203+0.453038138840616943309900146760*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0748299319728'
      prec: 50
    spectral_label: r1-0
    st_group: mu(42)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.827300150336454951731217978375+0.181184072159306181455289609206*I
    z1:
      __RealLiteral__: 0
      data: '0.696246239103'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '3.14153171876'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.92514416378'
      prec: 44
- - algebraic: true
    analytic_conductor: 21.063125259746503
    bad_primes:
    - 2
    - 7
    central_character: '196.39'
    conductor: 196
    conductor_radical: 14
    degree: 1
    id: 7082
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/196/39
    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: 1-14e2-196.39-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: 1-14e2-196.39-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 21.063125259746503
    root_angle: 0.07482993197278913
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.696246239103'
      prec: 47
- - Lhash: dirichlet_L_196.39
    Lhash_array:
    - dirichlet_L_196.39
    id: 1788477
    label: 1-14e2-196.39-r1-0-0
    type: DIR
    url: Character/Dirichlet/196/39
label_cols:
- label
- label
- label
labels:
- 1-14e2-196.39-r1-0-0
- 1-14e2-196.39-r1-0-0
- 1-14e2-196.39-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T04:50:25.603818'