data:
- - Lhash: dirichlet_L_4033.3582
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    algebraic: true
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    analytic_normalization: 0
    bad_lfactors:
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    bad_primes:
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    central_character: '4033.3582'
    coeff_info:
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    - 0.993238357741943 + 0.116092914125230*I
    - \\zeta_{54}
    conductor: 4033
    conductor_radical: 4033
    conjugate: dirichlet_L_4033.465
    degree: 1
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    euler_factors:
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    gamma_factors:
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    - []
    id: 3009122
    index: 0
    label: 1-4033-4033.3582-r0-0-0
    leading_term: 1.09415419351083340388763672497+0.154182900555793320667547146577*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
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    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/4033/3582
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
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    - '175.63460909877257291187304044120'
    - '176.58483472228457522943975289586'
    - '177.22707670433103963036796805225'
    - '177.957551293558463124764858419379'
    - '178.14661600711312295416706328904'
    - '178.52305257370222996143577420120'
    - '178.927756373062212244517395943825'
    - '179.82103322477721148137053590820'
    - '180.064932287410843588268459495155'
    - '180.8052711868107893616509130227'
    - '181.195576806525411767610780587655'
    - '181.77705282570284097609151508963'
    - '182.37634631300376947610206151742'
    - '182.80867301455392643739534176612'
    - '183.18343739299543106003446633947'
    - '184.050483110622669333639678577108'
    - '184.530233800232609767655730343490'
    - '184.78948484019227402277876068764'
    - '185.78637753310299795499796100395'
    - '186.00517712804827165444004402151'
    - '186.388311926437256116843216739471'
    - '187.38620506967426284601091047438'
    - '188.21270364648882802184680605801'
    - '188.49371579320754429485813904000'
    - '188.69548195106442476250111784560'
    - '189.38365784088411584182865922763'
    - '189.911486012352325855423366773639'
    - '190.32630136296112605805748818554'
    - '190.85167956423167477523608200659'
    - '191.31890178748255835845708279540'
    - '191.833824334182088505928330098582'
    - '192.40254619232117174490846235938'
    - '193.00602991587788613303687613314'
    - '193.47014406851222510123013580961'
    - '194.39050193571456909887551122381'
    - '194.66702264492054751089258723502'
    - '195.42756427518577161000982705631'
    - '195.79058526931103566523580500506'
    - '196.570388678507862609007983527891'
    - '196.89580832676138367637311009530'
    - '197.382693300009463059981365340211'
    - '197.81210360211127667768475195942'
    - '198.24353509328561165211587757284'
    - '199.00149380494018299243452697624'
    - '199.71105675903683793282584966434'
    prelabel: 1-4033-4033.3582-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.729173260907245
    root_angle: 0.08912255674595222
    root_number: 0.961059094538396626124649613926+0.276342933336528828773870693353*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0'
      prec: 10
    spectral_label: r0-0
    st_group: mu(54)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.792957371288475828074001508408-0.102021895972944257742545866571*I
    z1:
      __RealLiteral__: 0
      data: '0.897263205164'
      prec: 47
    z2:
      __RealLiteral__: 0
      data: '1.61965305434'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.16958362416'
      prec: 44
- - algebraic: true
    analytic_conductor: 18.729173260907245
    bad_primes:
    - 37
    - 109
    central_character: '4033.3582'
    conductor: 4033
    conductor_radical: 4033
    degree: 1
    id: 3009122
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/4033/3582
    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: 1-4033-4033.3582-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: 1-4033-4033.3582-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 18.729173260907245
    root_angle: 0.04456127837297611
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.897263205164'
      prec: 47
- - Lhash: dirichlet_L_4033.3582
    Lhash_array:
    - dirichlet_L_4033.3582
    id: 4877350
    label: 1-4033-4033.3582-r0-0-0
    type: DIR
    url: Character/Dirichlet/4033/3582
label_cols:
- label
- label
- label
labels:
- 1-4033-4033.3582-r0-0-0
- 1-4033-4033.3582-r0-0-0
- 1-4033-4033.3582-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-16T02:12:51.602393'