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    prelabel: 1-48-48.5-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.1583163901420015
    root_angle: -0.625
    root_number: -0.382683432365089771728459984030-0.923879532511286756128183189397*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.3125'
      prec: 24
    spectral_label: r1-0
    st_group: mu(4)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.837866054348989159699788599551-0.347055483163384067375250773927*I
    z1:
      __RealLiteral__: 0
      data: '0.609315775657'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '3.1132652405'
      prec: 40
    z3:
      __RealLiteral__: 0
      data: '4.96802771057'
      prec: 44
- - algebraic: true
    analytic_conductor: 5.1583163901420015
    bad_primes:
    - 2
    - 3
    central_character: '48.5'
    conductor: 48
    conductor_radical: 6
    degree: 1
    id: 434
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/48/5
    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: 1-48-48.5-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-48-48.5-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 5.1583163901420015
    root_angle: -0.3125
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.609315775657'
      prec: 47
- - Lhash: dirichlet_L_48.5
    Lhash_array:
    - dirichlet_L_48.5
    id: 1781846
    label: 1-48-48.5-r1-0-0
    type: DIR
    url: Character/Dirichlet/48/5
label_cols:
- label
- label
- label
labels:
- 1-48-48.5-r1-0-0
- 1-48-48.5-r1-0-0
- 1-48-48.5-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-30T08:14:32.690136'