data:
- - Lhash: dirichlet_L_361.77
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    algebraic: true
    analytic_conductor: 1.6764769519433462
    analytic_normalization: 0
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      - - 1
    bad_primes:
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    central_character: '361.77'
    coeff_info:
    - x^19 - 1
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    - \\zeta_{19}
    conductor: 361
    conductor_radical: 19
    conjugate: dirichlet_L_361.286
    degree: 1
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    gamma_factors:
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    - []
    id: 24277
    index: 0
    label: 1-19e2-361.77-r0-0-0
    leading_term: 0.346723172123583554731844339199+0.233039403990473921092065216986*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/361/77
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    primitive: true
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      data: '0.18836565097'
      prec: 44
    spectral_label: r0-0
    st_group: mu(19)
    symmetry_type: unitary
    types:
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- - algebraic: true
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    central_character: '361.77'
    conductor: 361
    conductor_radical: 19
    degree: 1
    id: 24277
    index: 0
    instance_types:
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    instance_urls:
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    label: 1-19e2-361.77-r0-0-0
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      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-19e2-361.77-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.6764769519433462
    root_angle: 0.1883656509695291
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.43526368907'
      prec: 44
- - Lhash: dirichlet_L_361.77
    Lhash_array:
    - dirichlet_L_361.77
    id: 1805457
    label: 1-19e2-361.77-r0-0-0
    type: DIR
    url: Character/Dirichlet/361/77
label_cols:
- label
- label
- label
labels:
- 1-19e2-361.77-r0-0-0
- 1-19e2-361.77-r0-0-0
- 1-19e2-361.77-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-20T03:48:11.037248'