data:
- - Lhash: dirichlet_L_105.2
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    algebraic: true
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    central_character: '105.2'
    coeff_info:
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    - \\zeta_{12}
    conductor: 105
    conductor_radical: 105
    conjugate: dirichlet_L_105.53
    degree: 1
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      - a^3
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      - a^8
    - - 1
      - a^3
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    gamma_factors:
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    - []
    id: 2040
    index: 0
    label: 1-105-105.2-r0-0-0
    leading_term: 0.724518355767387566964996708541+0.0338417577837547350363040358538*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/105/2
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    prelabel: 1-105-105.2-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4876179500112226
    root_angle: 0.029714477562062816
    root_number: 0.995645978781731977626447317445+0.0932152612814388703700071242331*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.014857238781'
      prec: 47
    spectral_label: r0-0
    st_group: mu(12)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.757654881915157017218972873920+0.0712214967488862100633419184626*I
    z1:
      __RealLiteral__: 0
      data: '1.19758382813'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.19293580887'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '5.30821405439'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.4876179500112226
    bad_primes:
    - 3
    - 5
    - 7
    central_character: '105.2'
    conductor: 105
    conductor_radical: 105
    degree: 1
    id: 2040
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/105/2
    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: 1-105-105.2-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: 1-105-105.2-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4876179500112226
    root_angle: 0.014857238781031408
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.19758382813'
      prec: 44
- - Lhash: dirichlet_L_105.2
    Lhash_array:
    - dirichlet_L_105.2
    id: 1783453
    label: 1-105-105.2-r0-0-0
    type: DIR
    url: Character/Dirichlet/105/2
label_cols:
- label
- label
- label
labels:
- 1-105-105.2-r0-0-0
- 1-105-105.2-r0-0-0
- 1-105-105.2-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T15:20:03.707877'