data:
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    - \\zeta_{36}
    conductor: 185
    conductor_radical: 185
    conjugate: dirichlet_L_185.33
    degree: 1
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    - []
    id: 6316
    index: 0
    label: 1-185-185.157-r1-0-0
    leading_term: 0.365563526558174424258205923111-0.342306324492944587712218118978*I
    load_key: dirichlet
    motivic_weight: 0
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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/185/157
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      data: '0.3125'
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    prelabel: 1-185-185.157-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 19.88101108700563
    root_angle: -0.479091254418357
    root_number: 0.0656395347054518509415350928159-0.997843400280651143211997479937*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.239545627209'
      prec: 50
    spectral_label: r1-0
    st_group: mu(36)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.565210684012064175456414343386-0.0683892099515721100058929377042*I
    z1:
      __RealLiteral__: 0
      data: '0.289644486794'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '2.42161335594'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.53498221237'
      prec: 44
- - algebraic: true
    analytic_conductor: 19.88101108700563
    bad_primes:
    - 5
    - 37
    central_character: '185.157'
    conductor: 185
    conductor_radical: 185
    degree: 1
    id: 6316
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/185/157
    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: 1-185-185.157-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: 1-185-185.157-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 19.88101108700563
    root_angle: -0.2395456272091785
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '0.289644486794'
      prec: 47
- - Lhash: dirichlet_L_185.157
    Lhash_array:
    - dirichlet_L_185.157
    id: 1787785
    label: 1-185-185.157-r1-0-0
    type: DIR
    url: Character/Dirichlet/185/157
label_cols:
- label
- label
- label
labels:
- 1-185-185.157-r1-0-0
- 1-185-185.157-r1-0-0
- 1-185-185.157-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T21:08:15.400623'