data:
- - Lhash: dirichlet_L_421.414
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    a9:
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    algebraic: true
    analytic_conductor: 1.9551157805211878
    analytic_normalization: 0
    bad_lfactors:
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      - - 1
    bad_primes:
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    central_character: '421.414'
    coeff_info:
    - x^35 - 1
    - 0.983929588598630 + 0.178556894798637*I
    - \\zeta_{35}
    conductor: 421
    conductor_radical: 421
    conjugate: dirichlet_L_421.60
    degree: 1
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    euler_factors:
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    - - 1
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    - - 1
      - a^32
    - - 1
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    - - 1
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    gamma_factors:
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    - []
    id: 32916
    index: 0
    label: 1-421-421.414-r0-0-0
    leading_term: 0.762136585736107259031402695236+1.10095098606297104329773590146*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/421/414
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    primitive: true
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      data: '0.307260923178'
      prec: 47
    spectral_label: r0-0
    st_group: mu(35)
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    conductor: 421
    conductor_radical: 421
    degree: 1
    id: 32916
    index: 0
    instance_types:
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    instance_urls:
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    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: 1-421-421.414-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: 1-421-421.414-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.9551157805211878
    root_angle: 0.30726092317774273
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.58855823559'
      prec: 44
- - Lhash: dirichlet_L_421.414
    Lhash_array:
    - dirichlet_L_421.414
    id: 1814394
    label: 1-421-421.414-r0-0-0
    type: DIR
    url: Character/Dirichlet/421/414
label_cols:
- label
- label
- label
labels:
- 1-421-421.414-r0-0-0
- 1-421-421.414-r0-0-0
- 1-421-421.414-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-12T07:23:59.764866'