data:
- - Lhash: dirichlet_L_49.36
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    algebraic: true
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    central_character: '49.36'
    coeff_info:
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    - \\zeta_{7}
    conductor: 49
    conductor_radical: 7
    conjugate: dirichlet_L_49.15
    degree: 1
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    gamma_factors:
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    - []
    id: 455
    index: 0
    label: 1-7e2-49.36-r0-0-0
    leading_term: 0.157080094892655861631156797779+0.426837362096014313076943194621*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/49/36
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-7e2-49.36-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.22755504333857055
    root_angle: 0.7755102040816327
    root_number: -0.761445958369134435405982779436+0.648228395307788401626567681892*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.387755102041'
      prec: 47
    spectral_label: r0-0
    st_group: mu(7)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.436684505744865138972824839571+0.382544101343815454711664931319*I
    z1:
      __RealLiteral__: 0
      data: '2.83973610443'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '5.04440032023'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '6.64776176162'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.22755504333857055
    bad_primes:
    - 7
    central_character: '49.36'
    conductor: 49
    conductor_radical: 7
    degree: 1
    id: 455
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/49/36
    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: 1-7e2-49.36-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: 1-7e2-49.36-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.22755504333857055
    root_angle: 0.38775510204081637
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.83973610443'
      prec: 44
- - Lhash: dirichlet_L_49.36
    Lhash_array:
    - dirichlet_L_49.36
    id: 1781875
    label: 1-7e2-49.36-r0-0-0
    type: DIR
    url: Character/Dirichlet/49/36
label_cols:
- label
- label
- label
labels:
- 1-7e2-49.36-r0-0-0
- 1-7e2-49.36-r0-0-0
- 1-7e2-49.36-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T11:17:15.549839'