data:
- - Lhash: dirichlet_L_6001.1528
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    central_character: '6001.1528'
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    - \\zeta_{8}
    conductor: 6001
    conductor_radical: 6001
    conjugate: dirichlet_L_6001.2541
    degree: 1
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    gamma_factors:
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    - []
    id: 6653657
    index: 0
    label: 1-6001-6001.1528-r0-0-0
    leading_term: 0.319716598575917091767834485117-1.26186436442938671245360631740*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
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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/6001/1528
    plot_delta:
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      data: '0.3125'
      prec: 20
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    - '172.99081662972679675684560247953'
    - '173.29668788427369937404340029673'
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    - '175.425164432986205010655212368579'
    - '176.153173415786873857958701204713'
    - '176.854866010160478474053083729899'
    - '177.09005966514355288723419249448'
    - '177.43199294368363977606096463382'
    - '177.72532457303449580965326420110'
    - '178.96836417105176057068579198012'
    - '179.28420275384112364089150822623'
    - '179.792206906090691209315931679856'
    - '180.31449850458413916754803673224'
    - '180.79172027533283851439269572139'
    - '181.13452547625318972203197250315'
    - '182.095809412047242820679911557258'
    - '182.52486536958821969567952133569'
    - '182.97816612032997024123242964847'
    - '183.42506229786848190205271963702'
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    - '185.66691233810443537078711080410'
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    - '186.79880150514685698183235693905'
    - '187.64567454899699783424827207643'
    - '187.999575191704241850730804570521'
    - '188.84263709263113301519711534740'
    - '189.44906446422056903232385441667'
    - '189.68031284766519759052651222764'
    - '190.06909558906393126483745876076'
    - '190.68390320276428088363617677960'
    - '191.31786794400742142703246132969'
    - '191.74448821548612974199492791681'
    - '192.15476899248564776812454339230'
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    - '193.05898461162868538116425073290'
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    - '195.47378218117164383090240556789'
    - '195.69899945984412450360194521002'
    - '196.19750862287342056081641736548'
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    - '199.20712896436564283252631758947'
    - '199.59128107593685334776995067859'
    prelabel: 1-6001-6001.1528-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 27.868526838260447
    root_angle: -0.8420250742237924
    root_number: -0.879353822173070056623241592791-0.476168935809143984565609000136*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(8)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.619693653784452284813850045610-0.684137303300358496294492331516*I
    z1:
      __RealLiteral__: 0
      data: '0.504176272176'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.61112248599'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '1.6872704135'
      prec: 40
- - algebraic: true
    analytic_conductor: 27.868526838260447
    bad_primes:
    - 17
    - 353
    central_character: '6001.1528'
    conductor: 6001
    conductor_radical: 6001
    degree: 1
    id: 6653657
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/6001/1528
    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: 1-6001-6001.1528-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: 1-6001-6001.1528-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 27.868526838260447
    root_angle: -0.4210125371118962
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.504176272176'
      prec: 47
- - Lhash: dirichlet_L_6001.1528
    Lhash_array:
    - dirichlet_L_6001.1528
    id: 8263173
    label: 1-6001-6001.1528-r0-0-0
    type: DIR
    url: Character/Dirichlet/6001/1528
label_cols:
- label
- label
- label
labels:
- 1-6001-6001.1528-r0-0-0
- 1-6001-6001.1528-r0-0-0
- 1-6001-6001.1528-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-17T17:53:05.779253'