data:
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    - \\zeta_{462}
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    conductor_radical: 483
    conjugate: dirichlet_L_3381.3329
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    - []
    id: 2114799
    index: 0
    label: 1-3381-3381.65-r0-0-0
    leading_term: 1.02616457756650225428409129388+1.44204487811320413204714202077*I
    load_key: dirichlet
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      data: '0.0'
      prec: 10
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    order_of_vanishing: 0
    origin: Character/Dirichlet/3381/65
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      data: '0.3125'
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    - '180.28643689642932892016182935609'
    - '181.08163760101295952375491911869'
    - '181.255214452756438976250993871486'
    - '181.66324581616451428740501503041'
    - '182.53936129741451254924555798915'
    - '182.86739179480305525854270523539'
    - '183.71119153743575882663163709923'
    - '184.42464210385262572533730202319'
    - '184.883493100922450778392863385584'
    - '185.391260605033028898882777997478'
    - '185.97440861693969460289349606781'
    - '186.50984850581161190975680271895'
    - '186.6342008210533818949490758946'
    - '187.651183140168874365263583348'
    - '188.15102992790785241617369064990'
    - '188.525336447394609793528370393543'
    - '188.94599099213316773130140965664'
    - '189.80599899266223637675461083794'
    - '189.95861136133415655016523835758'
    - '190.39436262178953589000012040505'
    - '191.235509392080184774140641521581'
    - '191.76285643359789717785812413208'
    - '192.342224143032600067157313336886'
    - '193.07231297112086488987931861429'
    - '193.48937408388372499144958096534'
    - '194.14681386251699450482215555454'
    - '194.57701905648146631099851665679'
    - '195.21131860003433031503305935300'
    - '195.62321977605693460982066863915'
    - '196.41675431820034455972669791272'
    - '196.785703654849019043922688700840'
    - '197.29894865628237710402350927576'
    - '197.539474677045224149274552975789'
    - '198.28529861351040508567724508337'
    - '198.76207114398546211713851887759'
    - '199.42688287210711853366282783462'
    - '199.91573992942843861458214764748'
    prelabel: 1-3381-3381.65-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.701297990361368
    root_angle: 0.6062689080681785
    root_number: -0.327686301830951228163832329796+0.944786583092898673585452163745*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(462)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.992406535524916979325225886349+0.593863087516379039108748609874*I
    z1:
      __RealLiteral__: 0
      data: '0.95262767449'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '1.87462462842'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.05443901291'
      prec: 44
- - algebraic: true
    analytic_conductor: 15.701297990361368
    bad_primes:
    - 3
    - 7
    - 23
    central_character: '3381.65'
    conductor: 3381
    conductor_radical: 483
    degree: 1
    id: 2114799
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/3381/65
    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: 1-3381-3381.65-r0-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-3381-3381.65-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 15.701297990361368
    root_angle: 0.30313445403408923
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.95262767449'
      prec: 44
- - Lhash: dirichlet_L_3381.65
    Lhash_array:
    - dirichlet_L_3381.65
    id: 3620785
    label: 1-3381-3381.65-r0-0-0
    type: DIR
    url: Character/Dirichlet/3381/65
label_cols:
- label
- label
- label
labels:
- 1-3381-3381.65-r0-0-0
- 1-3381-3381.65-r0-0-0
- 1-3381-3381.65-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-04T01:17:52.819320'