data:
- - Lhash: dirichlet_L_847.24
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    bad_primes:
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    central_character: '847.24'
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    - \\zeta_{330}
    conductor: 847
    conductor_radical: 77
    conjugate: dirichlet_L_847.600
    degree: 1
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    gamma_factors:
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    - []
    id: 132283
    index: 0
    label: 1-847-847.24-r0-0-0
    leading_term: 2.31428725235148091201153712135+2.14526626653763443128668532653*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/847/24
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    root_analytic_conductor: 3.933451463423862
    root_angle: 0.47588309619053687
    root_number: 0.0756930211544569489200794326853+0.997131168176238954346212895765*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.237941548095'
      prec: 47
    spectral_label: r0-0
    st_group: mu(330)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.83000192640241129109063023141+1.03063600631619770897113143095*I
    z1:
      __RealLiteral__: 0
      data: '1.55340252042'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.6718518909'
      prec: 40
    z3:
      __RealLiteral__: 0
      data: '3.46452474943'
      prec: 44
- - algebraic: true
    analytic_conductor: 3.933451463423862
    bad_primes:
    - 7
    - 11
    central_character: '847.24'
    conductor: 847
    conductor_radical: 77
    degree: 1
    id: 132283
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/847/24
    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: 1-847-847.24-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: 1-847-847.24-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 3.933451463423862
    root_angle: 0.23794154809526843
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.55340252042'
      prec: 44
- - Lhash: dirichlet_L_847.24
    Lhash_array:
    - dirichlet_L_847.24
    id: 1728948
    label: 1-847-847.24-r0-0-0
    type: DIR
    url: Character/Dirichlet/847/24
label_cols:
- label
- label
- label
labels:
- 1-847-847.24-r0-0-0
- 1-847-847.24-r0-0-0
- 1-847-847.24-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T05:32:03.138412'