data:
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    conductor_radical: 4033
    conjugate: dirichlet_L_4033.3776
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    - []
    id: 3007530
    index: 0
    label: 1-4033-4033.204-r0-0-0
    leading_term: 1.77328822336119516144813045112-1.06271988148577343235704721831*I
    load_key: dirichlet
    motivic_weight: 0
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      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/4033/204
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      data: '0.3125'
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    - '175.66900224464207725315744958192'
    - '176.08289085455751681889205026529'
    - '176.51540977548638651516303205813'
    - '177.08013011985455776749810890303'
    - '178.0592962221072317363916345086'
    - '178.63264133522824067529292064270'
    - '179.28047469837820048730496920038'
    - '179.769382973154557382047374230235'
    - '180.17405625251160731686973692662'
    - '180.59512755022720741283417019004'
    - '180.91305483290769317098023597176'
    - '181.82819233962124151924648907650'
    - '182.1922583227461262445026438712'
    - '182.843903843547245252686021812397'
    - '183.28315665476731642710786976293'
    - '183.79548272861393511509406641167'
    - '184.48908032690756851748364796636'
    - '185.034215970836828520839659505739'
    - '185.1349954640258635154361548554'
    - '185.85195106450281595225264482841'
    - '186.44988461676647475316647678808'
    - '186.82429858812048889426252252557'
    - '187.673878096354138150559103373733'
    - '188.365884774889085199181100468976'
    - '188.60859534014877094051109579934'
    - '189.332983254893026088910619594027'
    - '189.95614028396061979156244039542'
    - '190.60015301345012418400648432379'
    - '190.89798321503807683766502878356'
    - '191.48222689253051435610667613013'
    - '191.75998753875547167485945875671'
    - '192.40917516127186684288354566001'
    - '192.86071096064234853546951045891'
    - '193.2247824621912068650566189559'
    - '193.65595420229249093800954061687'
    - '194.89203307137257578673562668383'
    - '195.17833483819565526223276500778'
    - '195.45893786727189217629583781490'
    - '196.17510839604303209942214546173'
    - '196.58853700105030461425473868349'
    - '197.43342787560617995434629206733'
    - '198.04500622432227468222359461980'
    - '198.520073137958739601895871554165'
    - '198.75319771836624408627086533422'
    - '199.25166828360017601942251222599'
    - '199.97003890592985736682885354841'
    prelabel: 1-4033-4033.204-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.729173260907245
    root_angle: -0.3437108622792866
    root_number: 0.471505169693859795320202208220-0.881863297201989509360567094757*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(108)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.10791404769758014537398743517-0.492794194239895755088698655000*I
    z1:
      __RealLiteral__: 0
      data: '0.864471149748'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.54817819093'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.39678993175'
      prec: 44
- - algebraic: true
    analytic_conductor: 18.729173260907245
    bad_primes:
    - 37
    - 109
    central_character: '4033.204'
    conductor: 4033
    conductor_radical: 4033
    degree: 1
    id: 3007530
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/4033/204
    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: 1-4033-4033.204-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: 1-4033-4033.204-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.729173260907245
    root_angle: -0.1718554311396433
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.864471149748'
      prec: 47
- - Lhash: dirichlet_L_4033.204
    Lhash_array:
    - dirichlet_L_4033.204
    id: 4874214
    label: 1-4033-4033.204-r0-0-0
    type: DIR
    url: Character/Dirichlet/4033/204
label_cols:
- label
- label
- label
labels:
- 1-4033-4033.204-r0-0-0
- 1-4033-4033.204-r0-0-0
- 1-4033-4033.204-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-15T18:59:34.327668'