data:
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    - \\zeta_{15}
    conductor: 99
    conductor_radical: 33
    conjugate: dirichlet_L_99.25
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    - []
    id: 1774
    index: 0
    label: 1-99-99.4-r0-0-0
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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/99/4
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    prelabel: 1-99-99.4-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4597540671534385
    root_angle: -0.4964563630932323
    root_number: 0.0111324337180431376867732874123-0.999938032539773624667094835192*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.251771818453'
      prec: 50
    spectral_label: r0-0
    st_group: mu(15)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.542141323832258618509360787075-0.187449404811662059259792636741*I
    z1:
      __RealLiteral__: 0
      data: '0.68871090562'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.88485814136'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.19691046429'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.4597540671534385
    bad_primes:
    - 3
    - 11
    central_character: '99.4'
    conductor: 99
    conductor_radical: 33
    degree: 1
    id: 1774
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/99/4
    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: 1-99-99.4-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: 1-99-99.4-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4597540671534385
    root_angle: -0.24822818154661616
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.68871090562'
      prec: 44
- - Lhash: dirichlet_L_99.4
    Lhash_array:
    - dirichlet_L_99.4
    id: 1783180
    label: 1-99-99.4-r0-0-0
    type: DIR
    url: Character/Dirichlet/99/4
label_cols:
- label
- label
- label
labels:
- 1-99-99.4-r0-0-0
- 1-99-99.4-r0-0-0
- 1-99-99.4-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T19:50:31.675389'