data:
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    conductor_radical: 33
    conjugate: dirichlet_L_1089.376
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    - []
    id: 219069
    index: 0
    label: 1-33e2-1089.391-r1-0-0
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      data: '0.0'
      prec: 10
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    order_of_vanishing: 0
    origin: Character/Dirichlet/1089/391
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    - '198.75170267963058532727860319706'
    - '199.46087227271375363216511627947'
    - '199.91029941096096724248218327987'
    prelabel: 1-33e2-1089.391-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 117.02930310134664
    root_angle: -0.8832874196510561
    root_number: -0.933528725044511271387858920892-0.358502607405816888494283058214*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.441643709826'
      prec: 50
    spectral_label: r1-0
    st_group: mu(330)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.724731676296364310037674869330-0.166089686507358306194884135834*I
    z1:
      __RealLiteral__: 0
      data: '0.245746660052'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.1324370721'
      prec: 40
    z3:
      __RealLiteral__: 0
      data: '1.86535437104'
      prec: 44
- - algebraic: true
    analytic_conductor: 117.02930310134664
    bad_primes:
    - 3
    - 11
    central_character: '1089.391'
    conductor: 1089
    conductor_radical: 33
    degree: 1
    id: 219069
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/1089/391
    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: 1-33e2-1089.391-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: 1-33e2-1089.391-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 117.02930310134664
    root_angle: -0.44164370982552803
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.245746660052'
      prec: 47
- - Lhash: dirichlet_L_1089.391
    Lhash_array:
    - dirichlet_L_1089.391
    id: 1939932
    label: 1-33e2-1089.391-r1-0-0
    type: DIR
    url: Character/Dirichlet/1089/391
label_cols:
- label
- label
- label
labels:
- 1-33e2-1089.391-r1-0-0
- 1-33e2-1089.391-r1-0-0
- 1-33e2-1089.391-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T17:46:25.108959'