data:
- - Lhash: dirichlet_L_152.139
    a10:
    - 1.0
    - -2.8163065144692913e-30
    a2:
    - 1.0
    - -2.8163065144692913e-30
    a3:
    - 0.766044443118978
    - 0.6427876096865394
    a4:
    - 1.0
    - -2.8163065144692913e-30
    a5:
    - 0.9396926207859084
    - -0.3420201433256687
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - 0.5
    - 0.8660254037844386
    a8:
    - 1.0
    - -2.8163065144692913e-30
    a9:
    - 0.17364817766693036
    - 0.984807753012208
    algebraic: true
    analytic_conductor: 16.334668568783
    analytic_normalization: 0
    bad_lfactors:
    - - 2
      - - 1
    - - 19
      - - 1
    bad_primes:
    - 2
    - 19
    central_character: '152.139'
    coeff_info:
    - x^18 - 1
    - 0.939692620785908 + 0.342020143325669*I
    - \\zeta_{18}
    conductor: 152
    conductor_radical: 38
    conjugate: dirichlet_L_152.35
    degree: 1
    dirichlet_coefficients:
    - a^0
    - 0
    - a^2
    - 0
    - a^17
    - 0
    - a^21
    - 0
    - a^4
    - 0
    - a^6
    - 0
    - a^25
    - 0
    - a^19
    - 0
    - a^14
    - 0
    - 0
    - 0
    - a^23
    - 0
    - a^19
    - 0
    - a^16
    - 0
    - a^6
    - 0
    - a^13
    - 0
    - a^21
    - 0
    - a^8
    - 0
    - a^2
    - 0
    - a^9
    - 0
    - a^9
    - 0
    - a^2
    - 0
    - a^8
    - 0
    - a^21
    - 0
    - a^13
    - 0
    - a^6
    - 0
    - a^16
    - 0
    - a^19
    - 0
    - a^23
    - 0
    - 0
    - 0
    - a^14
    - 0
    - a^19
    - 0
    - a^25
    - 0
    - a^6
    - 0
    - a^4
    - 0
    - a^21
    - 0
    - a^17
    - 0
    - a^2
    - 0
    - a^0
    - 0
    - a^9
    - 0
    - a^11
    - 0
    - a^8
    - 0
    - a^12
    - 0
    - a^13
    - 0
    - a^15
    - 0
    - a^16
    - 0
    - a^10
    - 0
    - a^23
    - 0
    - 0
    - 0
    - a^14
    - 0
    - a^10
    - 0
    euler_factors:
    - - 0
    - - 1
      - a^2
    - - 1
      - a^17
    - - 1
      - a^21
    - - 1
      - a^6
    - - 1
      - a^25
    - - 1
      - a^14
    - - 0
    - - 1
      - a^19
    - - 1
      - a^13
    - - 1
      - a^21
    - - 1
      - a^9
    - - 1
      - a^2
    - - 1
      - a^8
    - - 1
      - a^13
    - - 1
      - a^19
    - - 1
      - a^14
    - - 1
      - a^19
    - - 1
      - a^4
    - - 1
      - a^17
    - - 1
      - a^2
    - - 1
      - a^11
    - - 1
      - a^12
    - - 1
      - a^16
    - - 1
      - a^14
    - - 1
      - a^25
    gamma_factors:
    - - 1
    - []
    id: 4297
    index: 0
    label: 1-152-152.139-r1-0-0
    leading_term: 2.10826541598811998828300454870+1.74199644880329405415036755061*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/152/139
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 2.7348372331630357
    - 3.1918302426158642
    - 3.2907642124398255
    - 2.9507661209234843
    - 2.1710371412401153
    - 1.1048166393202223
    - 0.06262415183242234
    - -0.5812536328138174
    - -0.5502116060421745
    - 0.17885203761772614
    - 1.3140437906385782
    - 2.3395543956704126
    - 2.7450257263190423
    - 2.295270624226034
    - 1.1956655941780305
    - 0.03761523902846664
    - -0.4852766297901386
    - 0.03580464880006234
    - 1.4468642769021145
    - 3.045338365810192
    - 3.9210928899267854
    - 3.46231346599642
    - 1.7387694725813303
    - -0.48611120234573935
    - -2.1584541553893737
    - -2.5367099218806093
    - -1.6284098442963653
    - -0.17090951051009787
    - 0.8558838100613954
    - 0.8831077780123072
    - 0.1354112577293929
    - -0.5382529222592431
    - -0.29669344181902724
    - 1.0264870762025022
    - 2.7090133752388543
    - 3.5766419441589385
    - 2.825354118738481
    - 0.6554511915902798
    - -1.7660471480129432
    - -3.040457701130035
    - -2.481600560573344
    - -0.5936159524515624
    - 1.2855959004081357
    - 1.9391296398144895
    - 1.1293810840464782
    - -0.28465361189271216
    - -1.0656162444905117
    - -0.5988584276490292
    - 0.6143320447374582
    - 1.378903399849197
    - 0.8222525598645574
    - -0.8180152774186498
    - -2.3071638940676418
    - -2.3843069164796966
    - -0.8278112457755029
    - 1.273624996736225
    - 2.321677115954896
    - 1.4785557489653942
    - -0.6204942087173513
    - -2.3259926053678215
    - -2.2700770198224087
    - -0.45702746482347145
    - 1.7520460592971518
    - 2.7550365695239614
    - 1.995124133840878
    - 0.33645539802397606
    - -0.7754502704741939
    - -0.6188555115203337
    - 0.19770438938642762
    - 0.3799139961577421
    - -0.7300078702222684
    - -2.370690152413587
    - -2.895209815557971
    - -1.22260866985213
    - 2.0637643594145936
    - 5.001031784254935
    - 5.753485275993378
    - 4.077308754437867
    - 1.4703422532691126
    - -0.1318133091940703
    - 0.03324099270371082
    - 1.055342343627354
    - 1.371974513687163
    - 0.3277253452314818
    - -1.1958047646211702
    - -1.6681859897608766
    - -0.46030765936860984
    - 1.4506516674773215
    - 2.344922044132843
    - 1.409091235294347
    - -0.4130752090712913
    - -1.2439758184936103
    - -0.0568746072584357
    - 2.2573733862217527
    - 3.6039447235989086
    - 2.57443068572765
    - -0.23458812037321422
    - -2.7266683115391945
    - -3.180215900151911
    - -1.7386819703636989
    - -0.12931029425629056
    - 0.07485116236282556
    - -1.0611039473274526
    - -2.0385832141252154
    - -1.565033986472302
    - 0.06155588869523736
    - 1.2565537845748207
    - 0.8555808183444917
    - -0.5287923540441372
    - -0.9644362804513076
    - 0.8766654307483357
    - 4.214961254434985
    - 6.648793221559572
    - 6.271050721077369
    - 3.4156630922976086
    - 0.3390253493662137
    - -0.8592935124669876
    - -0.053913062130447324
    - 1.0840728291632247
    - 0.9770793870055553
    - -0.2442473482332122
    - -1.0467896328394388
    - -0.33165820929081646
    - 1.2064658726823092
    - 1.709396277314295
    - 0.16827309529908208
    - -2.3153528372347583
    - -3.4478749165804317
    - -2.0051336989845727
    - 0.8696377329442895
    - 2.727489703216381
    - 2.218864794944668
    - 0.4039440231643807
    - -0.3832246910870583
    - 1.0435062637534618
    - 3.5074165964768467
    - 4.698297245876555
    - 3.538156350446016
    - 1.2102018798770353
    - -0.1769864877620748
    - 0.19998304913578568
    - 1.1850380570063224
    - 1.170472863220112
    - 0.09991754829150898
    - -0.34614129317702
    - 1.3199889735049781
    - 4.442779789607386
    - 6.497503885276618
    - 5.492257063020988
    - 2.0497638838255163
    - -1.0644703316173492
    - -1.566133818487373
    - 0.24485041924328577
    - 2.0328148927360328
    - 1.9558974500454072
    - 0.4497984092358316
    - -0.5635041981591726
    - -0.02130627701979814
    - 1.0692696172473646
    - 0.9033420651701785
    - -0.863689464386077
    - -2.52227029519805
    - -2.165197270477462
    - 0.040720105353071766
    - 1.7909944342385236
    - 1.0209563056494035
    - -1.8028851286400451
    - -4.028756178468894
    - -3.524167715722951
    - -0.8609839200879221
    - 1.3674710242703485
    - 1.3269166538275934
    - -0.22437787623868063
    - -1.0003360785681163
    - 0.1359218932405982
    - 1.9252162724559228
    - 2.254598913700854
    - 0.6513318326330597
    - -1.1746850393996484
    - -1.3606156065084913
    - -0.10342074250473282
    - 0.5835030293807407
    - -0.6391409891633307
    - -2.5952530367195115
    - -2.672314073060611
    - 0.22973709819821486
    - 4.177744636713457
    - 5.944043339326668
    - 4.2242587474253055
    - 0.8667839421244832
    - -1.1723405363745858
    - -0.8290103876286246
    - 0.39104699030720397
    - 0.5905934112989303
    - -0.20117021552204284
    - -0.30317548081974593
    - 1.2003845193935814
    - 2.953477227653332
    - 2.7117333429953483
    - 0.08665306657668628
    - -2.6551339653952875
    - -2.891041419155971
    - -0.547143402807742
    - 1.7355007679172825
    - 1.4652857598022377
    - -0.9966724532107842
    - -2.9426507847629293
    - -2.420989073982901
    - -0.36495474491216473
    - 0.6440818990551452
    - -0.5576606641261178
    - -2.4367255155556125
    - -2.6982324081684164
    - -1.0392847963662657
    - 0.5946694463737623
    - 0.5004064240398645
    - -0.6439739182069618
    - -0.6683727579531552
    - 1.211540691484338
    - 3.0934218930818957
    - 2.4355861398390637
    - -0.831074056298633
    - -3.8569532277496283
    - -3.8119473708204596
    - -0.9380616984325623
    - 1.7759081462223187
    - 1.9123356666458953
    - 0.11615204656565406
    - -1.0057556909559604
    - -0.08669972548774026
    - 1.5610159685699112
    - 1.8451567311386499
    - 0.6011579724415411
    - -0.32566429191458857
    - 0.3095277885424522
    - 1.2358052860767221
    - 0.05432559445799502
    - -3.596058356000586
    - -7.0219899739971385
    - -7.123751450353003
    - -3.7974972392487656
    - -0.11368475265474311
    - 1.0030229263365966
    - -0.23221535156567602
    - -1.1912310750936537
    - -0.22636363880966645
    - 1.4252764335375598
    - 1.4238315284831353
    - -0.569610580520538
    - -2.3888596011136594
    - -2.0615742536715573
    - -0.282833337138837
    - 0.47932909406829977
    - -0.8629616005826131
    - -2.606835676377857
    - -2.4484927295886716
    - -0.5682410450835788
    - 0.3527713649873163
    - -1.5912612958854107
    - -4.914100670539171
    - -6.112328818914408
    - -3.573378758612827
    - 0.571090635961258
    - 2.8250846738723787
    - 2.078829628373817
    - 0.34292314810967084
    - -0.12474416988063983
    - 0.47036696925955046
    - 0.22687703805734805
    - -1.4617174974980869
    - -2.7838378314147034
    - -1.8466372726161695
    - 0.5501908570757537
    - 1.4878475990044464
    - -0.5670297927107053
    - -3.6308327846399786
    - -4.283432451816071
    - -1.6349297613500324
    - 1.5922394221464333
    - 2.210538106986901
    - 0.15690837935956548
    - -1.7461708965913563
    - -1.3779235539200865
    - 0.27372497362490933
    - 0.7478148296404242
    - -0.524453420991442
    - -1.5320214106502177
    - -0.49413612124247536
    - 1.6020769977709377
    - 2.159338081585894
    - 0.3947286605720854
    - -1.4635814664465339
    - -0.92727593912451
    - 1.470677224754323
    - 2.6398582678869826
    - 0.7420964430932016
    - -2.38166278932672
    - -3.296812823178238
    - -1.0805695825015527
    - 1.6072541111715157
    - 1.7738177191201525
    - -0.4067767480316559
    - -2.1044427530063317
    - -1.4823703513744984
    - 0.2487904634327605
    - 0.8221497061033057
    - 0.06390112824371408
    - -0.08986327059905672
    - 1.3189285079756194
    - 2.401717524213834
    - 0.610248697821672
    - -3.625758288850733
    - -6.656467004751611
    - -5.505044933301653
    - -1.3037417561443911
    - 1.9722527742653984
    - 1.9694776332830735
    - 0.20868588370970204
    - -0.3993630673559821
    - 0.6546031776242716
    - 1.2231080187362342
    - -0.17737293403896753
    - -2.09290411039919
    - -1.9888983415441621
    - 0.2858852971903963
    - 2.149121558154778
    - 1.6210221902566295
    - -0.07075920732713675
    - -0.17426438653633888
    - 1.7450933066296215
    - 2.93971645316822
    - 0.9449656322663554
    - -3.008285451346169
    - -5.148917442961236
    - -3.6031774159048413
    - -0.565603723846271
    - 0.49970302688926693
    - -0.9772802152078996
    - -2.3651287200871454
    - -1.5081275365034963
    - 0.5644102193598319
    - 1.3219118136432069
    - 0.2836916089643024
    - -0.48099076551270953
    - 0.4768718204978771
    - 1.6455352086202935
    - 0.49054952238662497
    - -2.7753426538271198
    - -4.809632799900842
    - -3.0737547014355
    - 0.8101969134387015
    - 2.7304604048305787
    - 0.8796369445431925
    - -2.2756259842798836
    - -3.2076591881619594
    - -1.5123420074209277
    - 0.160126656225127
    - -0.06938059435919673
    - -1.024123626810732
    - -0.6274089762235984
    - 0.7724819841872338
    - 0.7145779390317923
    - -1.7591180101571944
    - -4.2588672200151185
    - -3.8078663615624264
    - -0.7380848151426253
    - 1.5393808086738754
    - 0.8007209680753866
    - -1.2135519280335223
    - -1.1997514828533362
    - 1.2552322201726112
    - 3.0452858886178182
    - 1.5888521099468782
    - -1.7713623773116949
    - -3.443209094752916
    - -2.050485664844507
    - 0.1659764875241147
    - 0.617968298901864
    - -0.3068512454365
    - -0.2948163618242653
    - 1.2256776562192593
    - 2.1518495281312924
    - 0.921670192168883
    - -0.7167985738877186
    - 0.38092218540113465
    - 4.367125168817023
    - 7.491984659645019
    - 6.3109507785614865
    - 1.838056577175633
    - -1.6707665252268316
    - -1.7412150543919291
    - -0.11879823718505082
    - 0.18838463190692956
    - -1.0273608068407898
    - -1.4127912382678824
    - 0.13247741432096946
    - 1.6496960246905208
    - 0.8835088384494493
    - -1.3774665643640107
    - -2.2607555802310095
    - -0.8876164907246785
    - 0.17113054813138112
    - -1.6465302196095204
    - -5.089560621044977
    - -6.276138856740501
    - -3.5666029182937637
    - 0.26795457275333023
    - 1.5092402000647396
    - 0.046331544366610744
    - -0.9171503434341226
    - 0.6056750676906081
    - 2.8176677712320752
    - 2.8526595660012086
    - 0.8204153039268802
    - -0.42842043960739057
    - 0.6646795082810739
    - 2.2865552265047873
    - 2.007582893358685
    - 0.3481739421613668
    - -0.04389792625481875
    - 1.473962412344987
    - 2.088456594643563
    - -0.7840114853664631
    - -5.497895030312791
    - -7.539557606271533
    - -4.86654446252688
    - -0.37778498080000106
    - 1.6742230517138665
    - 0.598303676883444
    - -0.7322187570344904
    - -0.2430739186722956
    - 0.8324833147523845
    - 0.4567249632689937
    - -0.7606125599347269
    - -0.3810304813576785
    - 1.9500077121781305
    - 3.3784489851772963
    - 1.5505809374930575
    - -1.847411486139889
    - -2.886201899910357
    - -0.4269446169147554
    - 2.3687118578537905
    - 2.197442199133417
    - -0.11753130644484824
    - -0.9736772120697356
    - 0.9909425455826283
    - 3.1003854326414433
    - 2.4115223352604396
    - -0.2718312940530402
    - -1.631987515201976
    - -0.4002056279700616
    - 1.1910743897116307
    - 0.9008192594088164
    - -0.30289934728688017
    - 0.028733053012287575
    - 1.7738260960346561
    - 1.9966621294407811
    - -0.8015999988523473
    - -3.957028017261414
    - -3.6915534694076646
    - -0.1265134785381329
    - 2.6056890787615563
    - 1.5362589990247262
    - -1.500770127258902
    - -2.5237106516880266
    - -0.5995745382266957
    - 1.3914600978053695
    - 1.044025928842216
    - -0.48641716018546155
    - -0.7203227245947821
    - 0.2570774624166449
    - 0.12307159527409346
    - -1.695363999843114
    - -2.524454777209457
    - -0.08159823622192625
    - 3.7756665312049247
    - 4.86198694897181
    - 2.02945648958077
    - -1.176851997535264
    - -1.0114904518899674
    - 1.7864474837401678
    - 3.331426709774745
    - 1.8902607205362243
    - -0.19132870105093067
    - -0.28086768933716333
    - 0.7225901879234005
    - -0.01905011856133914
    - -2.7971168767027477
    - -4.629489967244875
    - -3.391250361559001
    - -0.791855420436279
    - 0.1408924928946467
    - -0.6222416513327655
    - -0.3732477082694183
    - 1.803140759376962
    - 2.971595285348706
    - 0.18432008539580347
    - -4.926322308679221
    - -7.458692201743284
    - -5.106375152213484
    - -0.8337897853555223
    - 1.1063036599765312
    - 0.28291726594383043
    - -0.38370955066212137
    - 0.6552831590040152
    - 1.6202762736999679
    - 0.6900629141102492
    - -0.8176290632083665
    - -0.36493954961855657
    - 1.655270980393685
    - 2.020921177371826
    - -0.6496924294826993
    - -3.362361008240199
    - -2.4185850623928005
    - 1.4923447018480307
    - 3.933556275306859
    - 2.423598744982136
    - -0.5433565598685131
    - -1.1688579890807806
    - 0.5688049070993227
    - 1.419007683429728
    - -0.16880053553438093
    - -1.9247691981503006
    - -1.3501754025807922
    - 0.5118660756004074
    - 0.7319284618898396
    - -0.9968051114797405
    - -1.8455789463101158
    - -0.21230024547246876
    - 1.559332696441233
    - 0.3958983028448242
    - -2.845746112800151
    - -4.201368905256051
    - -2.063113422416197
    - 0.42452272336253266
    - -0.38754280623594245
    - -3.603292153691494
    - -4.989094235806918
    - -2.703967742877881
    - 0.4406811038618666
    - 1.0722329537832578
    - -0.37448506305822327
    - -1.0352238909583957
    - -0.15297596359432203
    - 0.18934525520362167
    - -1.014427046982354
    - -1.5193783929525817
    - 0.8219205068152282
    - 4.045786395244485
    - 3.8611789590739383
    - -0.589064926529186
    - -5.02000045896712
    - -5.121815337377587
    - -1.7410743393030672
    - 0.7895114039059516
    - 0.545957228416704
    - -0.12688563156501484
    - 1.1088841485132805
    - 2.8693656180022007
    - 2.322171374728359
    - -0.24348892368244412
    - -1.5937758326360183
    - -0.2626341521865475
    - 1.3117832769964157
    - 0.5128498954862215
    - -1.4360863962797414
    - -1.3034368016121167
    - 1.0722974712245221
    - 2.140789931940219
    - -0.2590276899237961
    - -3.3817397420892217
    - -3.015112386043663
    - 0.7389278964013525
    - 3.4954223530937707
    - 2.404293699092237
    - -0.3967273725255246
    - -1.2481477285600473
    - 0.0008550260431098815
    - 0.5523430345206658
    - -0.6086333594304263
    - -1.2374535597329788
    - 0.2952330502898038
    - 2.0357723574224074
    - 1.2736530614814194
    - -1.0037443833373714
    - -1.0965250314191282
    - 1.912190224674211
    - 4.194949487892895
    - 2.104984620342464
    - -2.6794529210790072
    - -5.11317203285518
    - -3.2241182019351826
    - -0.16802338153594665
    - 0.5548503119115861
    - -0.44568084763260285
    - -0.4167807927419613
    - 0.7943102306224858
    - 0.6529129604294123
    - -1.583923032902606
    - -3.0746515983236145
    - -1.4130418524717885
    - 1.5243020182254954
    - 1.9857098081835791
    - -0.2559462050509306
    - -1.5348102159013333
    - 0.2880361092116165
    - 2.5383680566899645
    - 1.5504726245127602
    - -1.8816659702014478
    - -3.4284286833352917
    - -1.2712603664626647
    - 1.4447541565907671
    - 1.1787750815655245
    - -1.1667026602711121
    - -1.9909574978293114
    - -0.34207856899358174
    - 1.1307716560181766
    - 0.5925712882062592
    - -0.34773569352819766
    - 0.15800020783394503
    - 0.482739226501556
    - -2.3336554909072977
    - -7.375451094028229
    - -9.735734691092091
    - -6.574962357805571
    - -1.0773075934023906
    - 1.4835190287723072
    - 0.24887008386720977
    - -1.0426215694953755
    - 0.08496289980119474
    - 1.6482297634580831
    - 0.8897144144041836
    - -1.2558377423268414
    - -1.7283184640395541
    - -0.2183351788728642
    - 0.4018308690783392
    - -1.2187994948414433
    - -2.5189027724019066
    - -0.9322818371413528
    - 1.7870470176939963
    - 1.7305560287902635
    positive_zeros:
    - '1.89702399862915952820087819117'
    - '2.754466858056584275864221377113'
    - '4.700118545513268731546035192350'
    - '5.30160910961958215889537137375'
    - '7.117633934747334405250310958027'
    - '8.47678063571413626698646304389'
    - '9.423805803464026876053100471560'
    - '10.09274321873780669644594459508'
    - '11.64249385500772211338003031012'
    - '12.90044360477577947369119267444'
    - '13.99642085351810343176393037323'
    - '14.84777667421419938400762546000'
    - '15.79501018725553368787755033276'
    - '16.99441559280151306214310292014'
    - '18.038278131787555233638795503963'
    - '19.12364147894802215531740687835'
    - '20.381368031777013941001768287287'
    - '21.170750241741520075179537638118'
    - '21.71120384236465473669995796546'
    - '22.93845640370368693683125935348'
    - '24.63878147086585182799038056535'
    - '24.98755854146173464891803267319'
    - '26.00229065785450179969271602649'
    - '26.950207413550705520040023350934'
    - '28.050702265563405953753304797472'
    - '28.758584935458057519244000429561'
    - '29.975966216257166437856330523221'
    - '31.29253795731479130457898168453'
    - '31.59537321831379340392105515548'
    - '32.80127609156150015425604287861'
    - '33.631262689577895277567733060597'
    - '34.26941281855164830576139808335'
    - '35.98583904340952668622920334372'
    - '36.5752288000609300525585795078'
    - '37.44273159684530512979974863162'
    - '38.19474465166309906812786022997'
    - '39.08442736777082897338806563873'
    - '40.21853446418080219081085604611'
    - '41.33470018842276926076675427043'
    - '41.70240947491397183415347807237'
    - '43.35914433122414089183655237115'
    - '43.68063326521018862359472393923'
    - '44.71655921471269927712463068744'
    - '45.115059609216482658003089070422'
    - '46.74491284086789392151854454029'
    - '47.46583198539096562100539255781'
    - '48.53334029178778613786547472199'
    - '49.06836546778662307890658907653'
    - '49.86839633143584961817974731113'
    - '50.932301675097523277735415734773'
    - '51.68917014300740534031570023041'
    - '52.90891480737396828625145008611'
    - '53.70590324521762158968182689714'
    - '54.35145301975751282649291249113'
    - '55.40924011586084923694826159278'
    - '56.27446070984127904093906063028'
    - '56.76306867881697661941063727283'
    - '57.79421516936279800808061202350'
    - '59.157691451423876003065186141391'
    - '59.88850384982677881579466560408'
    - '60.54892733472375833692249437097'
    - '61.03186967679260064204507138335'
    - '62.19594278275085451087318619418'
    - '63.18531581038614891501530759389'
    - '63.948978431480818840878559792416'
    - '65.06322237132506791781273223564'
    - '65.52859125049068512560210059536'
    - '66.7318204348204747480279868499'
    - '67.32542209704375791738601044280'
    - '67.95280564722809653340316570440'
    - '68.9931933446045123074162761996'
    - '70.08902086785188028991977670852'
    - '70.95693839522564011144187633167'
    - '71.57850419804396920567731312096'
    - '72.64709297690083160022692421300'
    - '73.03691151141409454529525285700'
    - '73.75635368212950521782141856090'
    - '75.326101709644553940849808970546'
    - '75.89184625689370270799250797344'
    - '76.602631227826541918101477195047'
    - '77.42471824353928632258082756748'
    - '78.49441400288292367938615505835'
    - '78.91057420440920737283799207478'
    - '80.10562949832174782865515514605'
    - '80.421850996778589522827074190681'
    - '81.82839402992960617491770624114'
    - '82.91492279653409921219258707219'
    - '83.20782697059363014177088766311'
    - '83.80703185154897829153727087240'
    - '84.92606185633544206201592205758'
    - '85.56623074272583895727652960449'
    - '86.705171832391160644172442183745'
    - '87.51947675259706101641923251269'
    - '88.38122602404273723345363095606'
    - '88.95853180311968077100925552206'
    - '89.76134214987949880656002022845'
    - '90.67776958045246744783287316928'
    - '91.38024470599062025734668723331'
    - '92.259585816712765947219259683707'
    - '93.23453050403706202618462001796'
    - '94.01149153506732607073089572641'
    - '94.94930037659235199188669673339'
    - '95.65043022899108969600228091632'
    - '95.97215434053635255959540966677'
    - '96.92722363523450821953856984973'
    - '98.222469366964191685739195933642'
    - '99.10740139993870067047417033515'
    - '99.52523638805975237905638661630'
    - '100.28592554995958146102188596141'
    - '101.21574343270847808554259222911'
    - '102.17077830973675956314617113675'
    - '102.54156995784891215430100229172'
    - '103.51607606082890438305924500431'
    - '104.769203993352927875250378327203'
    - '105.14767762270041981664781511149'
    - '106.15952186466656635828138895465'
    - '106.94497220400640124510944956680'
    - '107.39551479168063898755966178642'
    - '108.180017752374038537805958157872'
    - '109.3075445823180539645062388909'
    - '110.08307655400223830970546216279'
    - '111.19799356506097050580084370576'
    - '111.54002857907570089715774646289'
    - '112.32570775503091320453155012459'
    - '112.930398423193080280957364997959'
    - '114.13537412286340023314768401485'
    - '114.804738926537400254135320798171'
    - '115.48440320802527994996402308644'
    - '116.39929740626335499294352703246'
    - '117.46893220848445641578712594188'
    - '118.02376132683654710610358878705'
    - '118.51688043563464167491896438043'
    - '119.520162985085083387168142406610'
    - '119.95545624955947860259623249670'
    - '121.38207136744701004138103334537'
    - '122.21745187391558240628191946039'
    - '122.565031464928536809778269975428'
    - '123.41708651252188031640689964068'
    - '124.18789821544019566482389924555'
    - '125.18448647206809790475567058546'
    - '125.39517830306570799359327081990'
    - '126.84781745626402229341117591499'
    - '127.508024120117292095932470213503'
    - '128.04165098164932116398309886585'
    - '129.201149009076899496033953739519'
    - '129.56246447735302642377224149247'
    - '130.71680684144241399793980045280'
    - '130.953630975153755065546543268494'
    - '131.81720031995214109876139695807'
    - '133.15741852977488404979090396662'
    - '133.85777393996800378600424316415'
    - '134.435751635595826262732934047054'
    - '135.11015865031430792464098817864'
    - '135.68956187509716122325465936314'
    - '136.70098919180049127067225757792'
    - '137.539541258330556430246895321567'
    - '138.42083461334951256384402222600'
    - '138.94123268396973641208516170371'
    - '139.9675889410733471999281058278'
    - '140.688793553241149153221074108946'
    - '141.46600664968097637594726901018'
    - '141.868442108954387194752373882789'
    - '142.74315341959312293442967793751'
    - '143.76005806097370379876916474795'
    - '144.53097262224891357218733085772'
    - '145.38628028978594081771818808468'
    - '146.14135568231407236280394704550'
    - '146.78996196627192831255819491094'
    - '147.21724426112748545005595480496'
    - '148.13164353458435004682187052314'
    - '149.23451738086429961233398069305'
    - '149.81318184166146804370111993795'
    - '150.89584788269881676819013299293'
    - '151.333307416756055495260291245837'
    - '151.87210435502385658689014680221'
    - '153.28676555422121996377454720451'
    - '153.52528234237528121948434004835'
    - '154.1324745527355181752709848671'
    - '155.01222734627934246848805594077'
    - '156.33103508553558761634485578234'
    - '156.94796761069296811689507869383'
    - '157.35032961152687801710003540741'
    - '158.24833976385023287438116038754'
    - '158.81270159011340499648723540278'
    - '159.62807486981070026234391295039'
    - '160.51254073093799075661193544596'
    - '161.49445725750280211905277927247'
    - '162.09712496682071108993543998162'
    - '162.7889597136739384252585194634'
    - '163.655017675113423395325866568041'
    - '164.213534019432796325551121830236'
    - '165.0282331494127793144957050828'
    - '165.6675734038650172883710318175'
    - '166.79329761632602371599152381995'
    - '167.13633386921822248316405631217'
    - '168.38129669021999368859253625953'
    - '168.9883420169462480213027673227'
    - '169.737122318770703691083567702635'
    - '170.0759841930685335715931423729'
    - '170.85953998742524242495931565035'
    - '171.84083749387550791025978868816'
    - '172.98523032903312338087879643781'
    - '173.61424693587452343512917765047'
    - '173.83271985586085617731814363561'
    - '174.97051333512350037178512328483'
    - '175.664610449889311624326951056749'
    - '176.32827221458197650141442427165'
    - '177.05746938969813008800263150493'
    - '177.789536364469499732993381404649'
    - '178.694414136256321937255337574911'
    - '179.63637933032190738522650750647'
    - '180.31230540525518177862689497002'
    - '180.80343476735785699808053776656'
    - '181.52009887504157826927661667275'
    - '182.3560608477226431233691960872'
    - '182.95084661937811873176714578256'
    - '183.8899406327913347474290414388'
    - '185.02537607410762261458687294627'
    - '185.49180852251925345373281530588'
    - '186.05100504492411563051793865114'
    - '186.67456091312094939834258135408'
    - '187.640668100797055981307804074'
    - '188.405600955637744925648482211574'
    - '189.02982073986597900823350698658'
    - '189.83403465485589025368849952222'
    - '190.74885476033724587237876699662'
    - '191.41091751756864360355605054255'
    - '192.2390230084099782576802514845'
    - '192.968643222565239422729054748603'
    - '193.386300730493296573480366030016'
    - '193.84897301856407605210212404956'
    - '195.392257445532351229511554449612'
    - '195.97672958511591562978364166144'
    - '196.5487725628359286487320382950'
    - '197.31495705945854496500747146619'
    - '198.17017850397064845332711886239'
    - '198.55226597813900844085499558399'
    - '199.47343447228972823122426463108'
    prelabel: 1-152-152.139-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 16.334668568783
    root_angle: 0.4396211199433082
    root_number: 0.188550385121353460656103140158+0.982063517431835613308507692641*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.219810559972'
      prec: 47
    spectral_label: r1-0
    st_group: mu(18)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.52367460968361146790098170140+0.592641431213480573017201343147*I
    z1:
      __RealLiteral__: 0
      data: '1.89702399863'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.75446685806'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.70011854551'
      prec: 44
- - algebraic: true
    analytic_conductor: 16.334668568783
    bad_primes:
    - 2
    - 19
    central_character: '152.139'
    conductor: 152
    conductor_radical: 38
    degree: 1
    id: 4297
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/152/139
    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: 1-152-152.139-r1-0-0
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 1
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    prelabel: 1-152-152.139-r1-0
    primitive: true
    rational: false
    root_analytic_conductor: 16.334668568783
    root_angle: 0.2198105599716541
    self_dual: false
    spectral_label: r1-0
    z1:
      __RealLiteral__: 0
      data: '1.89702399863'
      prec: 44
- - Lhash: dirichlet_L_152.139
    Lhash_array:
    - dirichlet_L_152.139
    id: 1785733
    label: 1-152-152.139-r1-0-0
    type: DIR
    url: Character/Dirichlet/152/139
label_cols:
- label
- label
- label
labels:
- 1-152-152.139-r1-0-0
- 1-152-152.139-r1-0-0
- 1-152-152.139-r1-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T13:38:46.104919'