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    prelabel: 1-65-65.38-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.9852201116506265
    root_angle: -0.6762081911747834
    root_number: -0.525731112119133606025669084848-0.850650808352039932181540497063*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.338104095587'
      prec: 50
    spectral_label: r1-0
    st_group: mu(4)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.409719721487599657520652901529+0.662940435228076874756945346482*I
    z1:
      __RealLiteral__: 0
      data: '3.16650970393'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '4.96461296713'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '5.71608039558'
      prec: 44
- - algebraic: true
    analytic_conductor: 6.9852201116506265
    bad_primes:
    - 5
    - 13
    central_character: '65.38'
    conductor: 65
    conductor_radical: 65
    degree: 1
    id: 772
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/65/38
    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: 1-65-65.38-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: 1-65-65.38-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.9852201116506265
    root_angle: -0.3381040955873917
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '3.16650970393'
      prec: 44
- - Lhash: dirichlet_L_65.38
    Lhash_array:
    - dirichlet_L_65.38
    id: 1782191
    label: 1-65-65.38-r1-0-0
    type: DIR
    url: Character/Dirichlet/65/38
label_cols:
- label
- label
- label
labels:
- 1-65-65.38-r1-0-0
- 1-65-65.38-r1-0-0
- 1-65-65.38-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-24T17:42:07.896863'