data:
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    - []
    id: 349482
    index: 0
    label: 1-1375-1375.328-r1-0-0
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    origin: Character/Dirichlet/1375/328
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    - '196.18100336000953610103062862143'
    - '196.76362019305044189205979820987'
    - '197.26433467207117189947977224971'
    - '197.8101082815567121490567423333'
    - '198.38694625294843255328938471660'
    - '198.952303498692376691902400254830'
    - '199.395577148837638780322320396399'
    prelabel: 1-1375-1375.328-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 147.76427159260942
    root_angle: 0.8705657398607866
    root_number: -0.918459036327015786143741744007+0.395516116725032453507737997845*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.43528286993'
      prec: 44
    spectral_label: r1-0
    st_group: mu(100)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.96949507274259376973312677817+1.71124790274699517899375561322*I
    z1:
      __RealLiteral__: 0
      data: '1.6193951941'
      prec: 40
    z2:
      __RealLiteral__: 0
      data: '2.46930281516'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.33398687398'
      prec: 44
- - algebraic: true
    analytic_conductor: 147.76427159260942
    bad_primes:
    - 5
    - 11
    central_character: '1375.328'
    conductor: 1375
    conductor_radical: 55
    degree: 1
    id: 349482
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/1375/328
    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: 1-1375-1375.328-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: 1-1375-1375.328-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 147.76427159260942
    root_angle: 0.4352828699303933
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.6193951941'
      prec: 40
- - Lhash: dirichlet_L_1375.328
    Lhash_array:
    - dirichlet_L_1375.328
    id: 2070195
    label: 1-1375-1375.328-r1-0-0
    type: DIR
    url: Character/Dirichlet/1375/328
label_cols:
- label
- label
- label
labels:
- 1-1375-1375.328-r1-0-0
- 1-1375-1375.328-r1-0-0
- 1-1375-1375.328-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-22T17:38:49.809854'