data:
- - Lhash: dirichlet_L_59.35
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    a9:
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    algebraic: true
    analytic_conductor: 0.2739948481015441
    analytic_normalization: 0
    bad_lfactors:
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      - - 1
    bad_primes:
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    central_character: '59.35'
    coeff_info:
    - x^29 - 1
    - 0.976620555710087 + 0.214970440211024*I
    - \\zeta_{29}
    conductor: 59
    conductor_radical: 59
    conjugate: dirichlet_L_59.27
    degree: 1
    dirichlet_coefficients:
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    euler_factors:
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    - - 0
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    gamma_factors:
    - - 0
    - []
    id: 629
    index: 0
    label: 1-59-59.35-r0-0-0
    leading_term: 0.000499221091462042272113786773483-0.0321532702539237367635129471278*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/59/35
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-59-59.35-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.2739948481015441
    root_angle: 0.9901164490963409
    root_number: -0.999517984655340768004363954883+0.0310451018765598035049759041936*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.495058224548'
      prec: 50
    spectral_label: r0-0
    st_group: mu(29)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.331617776771477855663098216576+0.0230887917348512569674419040158*I
    z1:
      __RealLiteral__: 0
      data: '0.051654119006'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.5125535589'
      prec: 40
    z3:
      __RealLiteral__: 0
      data: '5.27159898837'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.2739948481015441
    bad_primes:
    - 59
    central_character: '59.35'
    conductor: 59
    conductor_radical: 59
    degree: 1
    id: 629
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/59/35
    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: 1-59-59.35-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: 1-59-59.35-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.2739948481015441
    root_angle: 0.49505822454817044
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.051654119006'
      prec: 47
- - Lhash: dirichlet_L_59.35
    Lhash_array:
    - dirichlet_L_59.35
    id: 1782050
    label: 1-59-59.35-r0-0-0
    type: DIR
    url: Character/Dirichlet/59/35
label_cols:
- label
- label
- label
labels:
- 1-59-59.35-r0-0-0
- 1-59-59.35-r0-0-0
- 1-59-59.35-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T00:56:52.892596'