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    id: 2994549
    index: 0
    label: 1-4024-4024.421-r0-0-0
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    origin: Character/Dirichlet/4024/421
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    - '178.5393597901961405113531672679'
    - '178.96803493735758769325947540743'
    - '179.87494238697007869837981361612'
    - '180.27411603671847107851083450321'
    - '180.80164889908088572416934494323'
    - '181.48194110395884452294225084603'
    - '181.65445696998264499009980753224'
    - '182.25220748753157726910508001449'
    - '182.71250114975031952101180725305'
    - '183.32768728486938350987411769450'
    - '183.93011521490561273837058977684'
    - '184.63078462140903015909092975668'
    - '185.12174078355374437547797842223'
    - '185.49151119379123647324071451252'
    - '186.03915869390016126315746671389'
    - '186.70353156744380587529217915447'
    - '187.370172561223360128612874323664'
    - '187.72910887456671490522498428777'
    - '188.291640162559844444416390838'
    - '188.74359586393944503505940578454'
    - '189.11741650677377722378448984163'
    - '189.638057551709862919059870240984'
    - '190.42162415947796780759437089632'
    - '191.02049787979279042775830003510'
    - '191.81448864019712561659870826190'
    - '192.05676808642493516805019155561'
    - '192.43298459048046008334603163470'
    - '193.24654186526480339208884744789'
    - '193.47555318869357193810851747229'
    - '194.02477147118490486482887855629'
    - '194.56899849010321128775406117053'
    - '195.33740162269438120072051033458'
    - '195.74580382104476177675787351055'
    - '196.09312350683480704269245804846'
    - '196.95765236720749577797704538191'
    - '197.63609842349068238396616944051'
    - '197.948766177004664422283176490285'
    - '198.367477555242780338050165202349'
    - '198.7500051914545757079823655857'
    - '199.67789752718897740958398346021'
    prelabel: 1-4024-4024.421-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.68737743662057
    root_angle: -0.0731792640171974
    root_number: 0.973689315905089991121267719889-0.227879608768046350717064632878*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(502)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.17945927829524069812547391578+0.0593271126420493943544121406601*I
    z1:
      __RealLiteral__: 0
      data: '0.67159929966'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '1.58339007722'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.45605303405'
      prec: 44
- - algebraic: true
    analytic_conductor: 18.68737743662057
    bad_primes:
    - 2
    - 503
    central_character: '4024.421'
    conductor: 4024
    conductor_radical: 1006
    degree: 1
    id: 2994549
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/4024/421
    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: 1-4024-4024.421-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: 1-4024-4024.421-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.68737743662057
    root_angle: -0.0365896320085987
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.67159929966'
      prec: 44
- - Lhash: dirichlet_L_4024.421
    Lhash_array:
    - dirichlet_L_4024.421
    id: 4741090
    label: 1-4024-4024.421-r0-0-0
    type: DIR
    url: Character/Dirichlet/4024/421
label_cols:
- label
- label
- label
labels:
- 1-4024-4024.421-r0-0-0
- 1-4024-4024.421-r0-0-0
- 1-4024-4024.421-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-22T12:43:53.682929'