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    - '177.298978722855906975358718768597'
    - '177.935471622186934721661663060'
    - '178.37569675334958516232431971114'
    - '178.99136473998712572025063023156'
    - '179.52310192883243572646755651613'
    - '180.05368206764668124100485628234'
    - '180.64322096003838621467708829659'
    - '180.89471330891024225783563509028'
    - '181.65968554293728055335902087078'
    - '182.29672930962950130157638023765'
    - '182.75657626854607132546033233885'
    - '183.236584248913893739270661046230'
    - '183.83804784706226607628910329588'
    - '184.38258256208575262906287257363'
    - '184.92736628996569128091035048389'
    - '185.151185700430308172441855693534'
    - '185.97074968754262823086222767103'
    - '186.74287621309823131013869645184'
    - '186.98214855864562459877307742307'
    - '187.63801251601681321266754088677'
    - '188.233246048958354116448216279340'
    - '188.329502268713366683295909433509'
    - '189.05090019244159300763513854265'
    - '189.92566819410434340036991968246'
    - '190.251891579758730960159811461871'
    - '190.9985604352574033926321576124'
    - '191.26437332921415867193371512300'
    - '191.79267667599910205115100326487'
    - '192.18428582690654729718304851695'
    - '193.06898594195746578989047105614'
    - '193.49936965794415641027961907282'
    - '193.97430433123479341557904208101'
    - '194.72184602467859891037382236776'
    - '195.10693861176367532335732719691'
    - '195.40467087794633616378296053495'
    - '196.223307913775844525097070205223'
    - '196.61100189605754511904596596303'
    - '197.29380639819341609438758701313'
    - '197.71829190032895703170404894690'
    - '198.3437339707053295276886127791'
    - '198.84509017881081979849371378059'
    - '199.47018496535918157415323388005'
    - '199.75060823666031781938221747527'
    prelabel: 1-4008-4008.1157-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.61307374899981
    root_angle: -0.8529930536798376
    root_number: -0.895235924592806952073790007996-0.445592458776472186226797215684*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(166)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.735170583667227576522290918151-0.128871202839619771818516304692*I
    z1:
      __RealLiteral__: 0
      data: '0.166885679186'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.13781480442'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.17878930245'
      prec: 44
- - algebraic: true
    analytic_conductor: 18.61307374899981
    bad_primes:
    - 2
    - 3
    - 167
    central_character: '4008.1157'
    conductor: 4008
    conductor_radical: 1002
    degree: 1
    id: 2970010
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/4008/1157
    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: 1-4008-4008.1157-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: 1-4008-4008.1157-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.61307374899981
    root_angle: -0.4264965268399188
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.166885679186'
      prec: 47
- - Lhash: dirichlet_L_4008.1157
    Lhash_array:
    - dirichlet_L_4008.1157
    id: 4811906
    label: 1-4008-4008.1157-r0-0-0
    type: DIR
    url: Character/Dirichlet/4008/1157
label_cols:
- label
- label
- label
labels:
- 1-4008-4008.1157-r0-0-0
- 1-4008-4008.1157-r0-0-0
- 1-4008-4008.1157-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-17T16:43:25.474439'