data:
- - Lhash: dirichlet_L_137.63
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    algebraic: true
    analytic_conductor: 0.6362253252527381
    analytic_normalization: 0
    bad_lfactors:
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    bad_primes:
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    central_character: '137.63'
    coeff_info:
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    - \\zeta_{34}
    conductor: 137
    conductor_radical: 137
    conjugate: dirichlet_L_137.87
    degree: 1
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    gamma_factors:
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    - []
    id: 3488
    index: 0
    label: 1-137-137.63-r0-0-0
    leading_term: -0.219876263175880950284416012415+0.354178056484622229980898182025*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/137/63
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-137-137.63-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6362253252527381
    root_angle: -0.6463077192766989
    root_number: -0.443624832562172778847921148094-0.896212590814358156850942148306*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.323153859638'
      prec: 50
    spectral_label: r0-0
    st_group: mu(34)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.319251765410136011059609722918+0.529858048205960918615986719794*I
    z1:
      __RealLiteral__: 0
      data: '3.29459853977'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '4.1860873216'
      prec: 40
    z3:
      __RealLiteral__: 0
      data: '5.73327352392'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.6362253252527381
    bad_primes:
    - 137
    central_character: '137.63'
    conductor: 137
    conductor_radical: 137
    degree: 1
    id: 3488
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/137/63
    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: 1-137-137.63-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: 1-137-137.63-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.6362253252527381
    root_angle: -0.32315385963834947
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '3.29459853977'
      prec: 44
- - Lhash: dirichlet_L_137.63
    Lhash_array:
    - dirichlet_L_137.63
    id: 1784869
    label: 1-137-137.63-r0-0-0
    type: DIR
    url: Character/Dirichlet/137/63
label_cols:
- label
- label
- label
labels:
- 1-137-137.63-r0-0-0
- 1-137-137.63-r0-0-0
- 1-137-137.63-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-19T04:22:50.096177'