data:
- - Lhash: dirichlet_L_367.137
    a10:
    - -0.6405931786981751
    - 0.7678804460366
    a2:
    - 0.6792733388972931
    - 0.7338853664321991
    a3:
    - -0.27948563485160943
    - -0.9601498736716018
    a4:
    - -0.07717546212664635
    - 0.9970175264485267
    a5:
    - 0.12839835514655096
    - 0.9917226741361015
    a6:
    - 0.5147928015098308
    - -0.8573146280763323
    a7:
    - 0.9788556850953578
    - 0.20455206612620083
    a8:
    - -0.7841198065767104
    - 0.6206094818274228
    a9:
    - -0.8437755598231856
    - 0.5366961939916005
    algebraic: true
    analytic_conductor: 1.7043408348011304
    analytic_normalization: 0
    bad_lfactors:
    - - 367
      - - 1
    bad_primes:
    - 367
    central_character: '367.137'
    coeff_info:
    - x^61 - 1
    - 0.994699875614589 + 0.102820997137360*I
    - \\zeta_{61}
    conductor: 367
    conductor_radical: 367
    conjugate: dirichlet_L_367.292
    degree: 1
    dirichlet_coefficients:
    - a^0
    - a^8
    - a^43
    - a^16
    - a^14
    - a^51
    - a^2
    - a^24
    - a^25
    - a^22
    - a^17
    - a^59
    - a^25
    - a^10
    - a^57
    - a^32
    - a^38
    - a^33
    - a^56
    - a^30
    - a^45
    - a^25
    - a^29
    - a^6
    - a^28
    - a^33
    - a^7
    - a^18
    - a^58
    - a^4
    - a^16
    - a^40
    - a^60
    - a^46
    - a^16
    - a^41
    - a^21
    - a^3
    - a^7
    - a^38
    - a^44
    - a^53
    - a^5
    - a^33
    - a^39
    - a^37
    - a^1
    - a^14
    - a^4
    - a^36
    - a^20
    - a^41
    - a^14
    - a^15
    - a^31
    - a^26
    - a^38
    - a^5
    - a^35
    - a^12
    - a^10
    - a^24
    - a^27
    - a^48
    - a^39
    - a^7
    - a^26
    - a^54
    - a^11
    - a^24
    - a^45
    - a^49
    - a^55
    - a^29
    - a^10
    - a^11
    - a^19
    - a^15
    - a^4
    - a^46
    - a^50
    - a^52
    - a^0
    - a^0
    - a^52
    - a^13
    - a^40
    - a^41
    - a^1
    - a^47
    - a^27
    - a^45
    - a^59
    - a^9
    - a^9
    - a^22
    - a^29
    - a^12
    - a^42
    - a^44
    euler_factors:
    - - 1
      - a^8
    - - 1
      - a^43
    - - 1
      - a^14
    - - 1
      - a^2
    - - 1
      - a^17
    - - 1
      - a^25
    - - 1
      - a^38
    - - 1
      - a^56
    - - 1
      - a^29
    - - 1
      - a^58
    - - 1
      - a^16
    - - 1
      - a^21
    - - 1
      - a^44
    - - 1
      - a^5
    - - 1
      - a^1
    - - 1
      - a^14
    - - 1
      - a^35
    - - 1
      - a^10
    - - 1
      - a^26
    - - 1
      - a^45
    - - 1
      - a^55
    - - 1
      - a^4
    - - 1
      - a^0
    - - 1
      - a^1
    - - 1
      - a^29
    - - 1
      - a^5
    gamma_factors:
    - - 0
    - []
    id: 24709
    index: 0
    label: 1-367-367.137-r0-0-0
    leading_term: 0.723772005196595468790941003814+1.30364511183269415005724863393*I
    load_key: dirichlet
    motivic_weight: 0
    mu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    mu_real:
    - 0
    nu_imag: []
    nu_real_doubled: []
    order_of_vanishing: 0
    origin: Character/Dirichlet/367/137
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 1.4910856759796127
    - 2.270124977116173
    - 3.2916596925010007
    - 3.931854643550949
    - 3.6822711739432883
    - 2.477172514172898
    - 0.7860183990534914
    - -0.567845483299457
    - -0.8356364976801216
    - 0.1896476429732909
    - 1.9679091099157326
    - 3.4609236852518017
    - 3.7450425404864536
    - 2.6157931658946048
    - 0.7552593646048203
    - -0.7057288006979698
    - -0.9639466050489667
    - -0.10267155852633363
    - 1.006778325367044
    - 1.4128303977837706
    - 0.84927525256647
    - -0.08348259471507745
    - -0.5070908799266018
    - -0.13633623819755505
    - 0.36703124128464265
    - -0.02900125934204948
    - -1.637377058707378
    - -3.4349273213261435
    - -3.628858857688061
    - -1.123406371449076
    - 3.2949217563694084
    - 7.181452404984747
    - 8.096354063289844
    - 5.461647711239429
    - 1.0629602205211088
    - -2.304603318062043
    - -2.973504050161402
    - -1.5411375328109413
    - -0.07619244500149382
    - -0.16650968035331776
    - -1.5948104080395678
    - -2.794513228042788
    - -2.5336467438841175
    - -1.1254278361995462
    - 0.008412791479443973
    - -0.09520090866620493
    - -0.9176487113346266
    - -1.081004314819263
    - 0.03193179014884749
    - 1.421703168777138
    - 1.3993559355577638
    - -0.5830296292276211
    - -3.142920832116761
    - -4.177645503123141
    - -2.926563485959679
    - -0.7302240412516561
    - 0.3943514708783574
    - -0.08188868207836586
    - -0.639410016979683
    - 0.5247802263612702
    - 3.226899636385787
    - 5.065105419387683
    - 3.731406754666482
    - -0.4016415319014125
    - -4.205461569591957
    - -4.551612522128388
    - -1.2494151142126437
    - 2.795529347640912
    - 4.374505341701376
    - 2.8874218672840772
    - 0.49685282299266953
    - -0.3999504478658312
    - 0.44870264437907575
    - 1.3580553993448152
    - 0.9583121647741185
    - -0.2485257822394845
    - -0.7400644748999856
    - -0.010715395847496405
    - 0.7918679021561268
    - 0.4164832927249675
    - -0.7417006202286455
    - -1.0108769805605509
    - 0.3639658849729266
    - 1.9336050164748522
    - 1.5390812964998666
    - -0.9024420497470418
    - -2.701666074677295
    - -1.056617879526383
    - 3.617091164588194
    - 7.532771584697511
    - 7.112362464040034
    - 2.632728076392922
    - -2.017561353145366
    - -3.2536903666536166
    - -1.16061247012096
    - 1.1938874728113567
    - 1.4005175168637565
    - 0.035053396656322
    - -0.7503292850749286
    - -0.26599847614047023
    - -0.0824235314808496
    - -1.709852277150549
    - -4.2477514622460895
    - -5.116590477277093
    - -3.0795844708450586
    - 0.17339503820585428
    - 1.879256562831056
    - 1.2422676534835178
    - -0.028889073745032953
    - -0.18944971285885423
    - 0.34516427361400426
    - -0.10402310953061099
    - -1.794520279289545
    - -2.839777178017653
    - -1.6642877938483513
    - 0.5111098931587936
    - 0.7235634478688451
    - -1.9914594512154422
    - -4.8161763979698
    - -4.01431226581509
    - 0.5646060768880662
    - 4.771200935353722
    - 4.459093511123701
    - 0.02764728710929706
    - -4.043693839705478
    - -4.109291160039377
    - -1.0226719335503698
    - 1.4443555113381992
    - 1.113191697565153
    - -0.6322270611478823
    - -1.28446630736592
    - -0.43542603799300283
    - 0.29480697107062415
    - -0.025643667176267353
    - -0.3383194340757193
    - 0.548918015960423
    - 1.8221422036251327
    - 1.5660795447067202
    - -0.3489793960847236
    - -1.572978113144008
    - -0.21196322543217438
    - 2.304223263950975
    - 2.5491091452371486
    - -0.6008788210969952
    - -4.155292794475979
    - -4.35247388970364
    - -1.2118966090837813
    - 1.4801460760098046
    - 0.8726569004385324
    - -1.4744408742849253
    - -1.7734262068173097
    - 0.9710269131038103
    - 3.5911954604613143
    - 2.7891565140030776
    - -0.6657396313791949
    - -2.955576941013389
    - -2.002185126775191
    - 0.2132596298767718
    - 0.5931973458585174
    - -1.0132169649388396
    - -1.9737377431680598
    - -0.7174935635945014
    - 1.149402590866575
    - 1.224077055227009
    - -0.3257393970354151
    - -1.1206195959195566
    - -0.0017758127837785376
    - 1.409185749600613
    - 1.174080627748388
    - -0.14851044989735432
    - -0.48406978719779825
    - 0.4772841557319388
    - 0.7937693709958713
    - -0.2795454487749288
    - 0.07845031186984251
    - 5.254592655232612
    - 13.94761345360446
    - 19.836450451835912
    - 17.756768738491658
    - 9.443448261172549
    - 1.7908730055873865
    - -0.423232948327259
    - 1.2706734972921283
    - 2.349078616442309
    - 1.1321272049699656
    - -0.22336963391584544
    - 0.19872076804607164
    - 1.243353910328565
    - 0.7973721361446136
    - -0.819709171226249
    - -1.3613712813771401
    - -0.15397563927532434
    - 0.8102338287661477
    - -0.06684758641287665
    - -1.355241437543617
    - -0.5191687332236495
    - 2.2122638163060793
    - 3.7770676093083866
    - 2.4284589227097673
    - 0.23579230337340706
    - 0.1582821151267121
    - 1.722547383059837
    - 1.6329524383467706
    - -1.2758330808326612
    - -3.813803881951495
    - -2.5076553807410438
    - 1.4161088822967356
    - 3.236794189175919
    - 0.8456275660517949
    - -2.500236069525471
    - -2.628737752561621
    - -0.06848255686417563
    - 0.8453887025569012
    - -1.9291610986525995
    - -5.2594237236165275
    - -5.023977651529837
    - -1.4905665795230836
    - 1.3269877547438096
    - 1.0084444319388524
    - -0.7154724888683109
    - -1.1296743418628103
    - -0.25576931355005106
    - 0.06391058360704503
    - -0.4604659935252953
    - -0.30763683822460625
    - 0.8277232017803239
    - 1.0267687938953691
    - -0.7080265599829029
    - -2.028472456778662
    - -0.055535049366232304
    - 4.012455462264089
    - 5.588612911580488
    - 2.7016156684822743
    - -0.8284588355684139
    - -0.09283341847761195
    - 4.18744367331048
    - 6.179664154023291
    - 2.397495593339514
    - -3.7397556459513224
    - -6.238484099241092
    - -3.774495032778819
    - -0.37246064273684404
    - 0.5231935922199541
    - -0.07540803593079405
    - 0.39889628843638714
    - 1.6797823311679343
    - 1.4671700543114365
    - -0.40970057788553393
    - -1.3816295050996712
    - -0.16457312710987734
    - 0.9546999315260949
    - -0.5808985776614687
    - -3.5412995065884796
    - -4.357447666543199
    - -2.121974643275525
    - 0.24774087063589237
    - 0.3483390228971043
    - -0.48163925088074405
    - 0.1665107516763507
    - 1.6094540223135385
    - 1.1919884031871544
    - -0.918376935186943
    - -1.1361624461810276
    - 2.123817262764181
    - 4.937915541075297
    - 2.4412290165156127
    - -4.086761413530234
    - -7.785625557384811
    - -4.492219899157907
    - 2.1056747885012133
    - 5.264923431754899
    - 3.288990824276076
    - 0.33448325982780525
    - -0.03565872822174324
    - 1.0530898475419246
    - 0.9622855005385131
    - 0.014086119240096609
    - 0.421976731762448
    - 2.149895313854901
    - 2.7122396902252395
    - 1.1314193013672205
    - -0.5128441164282651
    - -0.45715981198845923
    - 0.06861934394447522
    - -0.623103211570988
    - -1.1666602201273797
    - 0.9964215349402585
    - 4.678639578920992
    - 5.134698277233803
    - 0.48336373755764395
    - -4.647969788291623
    - -4.425304979329265
    - 0.5874598154104299
    - 4.147458703020318
    - 2.546959163972004
    - -1.0702958310545045
    - -1.8927759693841528
    - -0.11584934041608812
    - 0.3843306136688708
    - -1.4447062470648055
    - -2.34681798853483
    - -0.23527887790149699
    - 2.1897576318346923
    - 1.3682579781255946
    - -1.7508337540636387
    - -3.130069391660599
    - -1.5481390486199293
    - 0.016687456685797592
    - -0.7376439804113893
    - -2.1294892680362354
    - -1.6380610070312511
    - -0.055806143716069345
    - 0.03295011315219097
    - -1.3339283800551751
    - -1.6335146100233915
    - -0.3121949630683504
    - 0.06118714029134735
    - -1.7474232344043943
    - -2.942932091500177
    - -1.0076588773753756
    - 1.2753581487167025
    - -1.1764457083098505
    - -7.896557942176525
    - -11.886903745821437
    - -8.21627400036904
    - -0.7109643388573129
    - 2.8110743595319714
    - 0.32419116141352633
    - -2.888681448949867
    - -2.1850027112188277
    - 0.7939229255099135
    - 1.8844649123885238
    - 0.6238289820274385
    - -0.2267095530250512
    - 0.34488859489765
    - 0.62730734988829
    - -0.029830983339767476
    - 0.09261399048140184
    - 1.5108223195980848
    - 1.6289261814439162
    - -1.376277987427561
    - -4.840391161057283
    - -4.738564584899077
    - -1.5424366525572646
    - 0.3336053684927895
    - -0.9753283275312498
    - -2.314545473219322
    - -0.9319099694145965
    - 0.8884243393898441
    - -0.369042042073421
    - -3.0904694147562086
    - -2.1479332531089885
    - 3.2313268086232245
    - 7.374996530480528
    - 5.658099119487806
    - 0.7839019189449329
    - -1.341238023655472
    - 0.21581393073942673
    - 1.2360802419709238
    - -0.3773927645622461
    - -1.5129869263676294
    - 0.6542423314321185
    - 3.7493076600481667
    - 3.6411047296562344
    - 0.5966770725096333
    - -1.4265026922671384
    - -0.7447606795299404
    - 0.33118855033134403
    - -0.027702021813099765
    - -0.44878353031429136
    - 0.4572160801148292
    - 1.204132231799437
    - 0.19394250427474682
    - -0.8717128077187106
    - 0.36229980389894645
    - 2.1455111069678026
    - 0.6126471632965969
    - -3.225461492001388
    - -2.881565024947199
    - 4.866415617178799
    - 13.969063508582156
    - 15.590724026673758
    - 8.962868296473786
    - 1.675962311195992
    - -0.5004350167313819
    - 0.34438710457927313
    - -0.31715944734046847
    - -2.2795663638323576
    - -2.2676486084306835
    - -0.15291325266730046
    - 0.9022536629806678
    - -0.07393117975229227
    - -0.4425327328198603
    - 1.147741579277608
    - 2.1516510376209093
    - 0.39527428610215926
    - -2.0237889089387244
    - -1.963068819796664
    - -0.28976782635216836
    - -0.21278540543710528
    - -1.623826339421877
    - -1.1214997984209791
    - 2.011961358497504
    - 3.917578177531651
    - 2.010831185987783
    - -0.7712573858141957
    - -0.5376293074400901
    - 1.4100891145409364
    - 1.0611495241791513
    - -1.090411024593235
    - -0.3207683975276186
    - 4.20208634729928
    - 6.5294787001270755
    - 2.023912869388442
    - -5.254292047725572
    - -7.394004290440422
    - -3.0093097878393342
    - 1.7531107021681402
    - 2.1844735699374658
    - 0.2998631954082871
    - -0.09580870546844614
    - 0.6883124082939286
    - 0.22619919105347286
    - -1.1034015595753521
    - -1.044481438812379
    - 0.1274848735297958
    - 0.04051919000030398
    - -1.2836515834792976
    - -1.2378514763952981
    - 0.5237825701001995
    - 0.9292042019673337
    - -1.1835079125296972
    - -2.301489994304712
    - 0.20430052666183554
    - 2.7760935341239152
    - 0.3086069568996459
    - -5.416829823020268
    - -7.109879001899928
    - -2.2634141220672324
    - 2.945495667493706
    - 2.3364302444534366
    - -1.9149804908796488
    - -3.385029881550838
    - -0.9152612391451985
    - 0.9216437251542215
    - -0.2561878852179993
    - -1.582558023881273
    - -0.6753227440347036
    - 0.4164302364062776
    - -0.5027982907563753
    - -1.354444191102558
    - 0.7064473001392084
    - 3.837917298960117
    - 3.7978748781022427
    - 0.5981918232532434
    - -1.4296844074913415
    - -0.28251493667512223
    - 1.1975160177510953
    - 0.5388983614836884
    - -0.640470678892031
    - -0.29993477204115354
    - 0.2747762190338514
    - -0.2818951477000002
    - 0.6232309261826254
    - 5.701484048897604
    - 11.432818857305152
    - 11.05144633062559
    - 4.40000966084405
    - -0.5167345724032953
    - 1.8508139631915235
    - 6.990957260559702
    - 7.145097795490985
    - 2.2662119512421572
    - -0.9949196606630832
    - 0.4007494335163855
    - 2.4159686650753915
    - 1.3296163024185723
    - -0.8399325023046224
    - -0.7453254106568601
    - 0.6885583698321244
    - 0.624068896857207
    - -0.5861269083300887
    - -0.6243023152979783
    - 0.23236271274331563
    - -0.051745367986595944
    - -0.7810575692277922
    - 0.6432781188360847
    - 3.2779898877617653
    - 2.7296052804503463
    - -1.8172419726195475
    - -5.114326146784324
    - -3.20175950407203
    - 0.5812523084099366
    - 0.9446946989093186
    - -0.9423354335002704
    - 0.3093610773151386
    - 4.969784800258279
    - 7.136828932859702
    - 3.9028255148304454
    - -0.12733236851976945
    - -0.2050652733724674
    - 1.4924395881912076
    - 0.40071265680859647
    - -2.3411230379119097
    - -1.8235757576128955
    - 2.1554672446794507
    - 4.333858452920053
    - 2.097201997352472
    - -0.9073847897361234
    - -0.996411427580725
    - 0.31012595602625875
    - 0.09547423033298723
    - -0.7228036385232659
    - 0.22325131109438834
    - 1.8276645289489097
    - 1.3231799828742017
    - -0.531061172597894
    - -0.5903596622846601
    - 1.0307344138370116
    - 1.1910506439770776
    - -0.24841354052011108
    - 0.16777315730325837
    - 2.550869239029259
    - 1.6243795971263253
    - -4.755195284365489
    - -9.642969329050043
    - -5.186476023435803
    - 5.68386667302237
    - 11.975194935725654
    - 8.633755126600466
    - 1.7869896634314701
    - -1.0767921404095298
    - -0.18646895589266305
    - 0.23174267147720012
    - -0.40743443700384907
    - 0.011511225938379688
    - 0.8844113755819881
    - -0.16227260131298005
    - -2.1954115313050577
    - -1.94993415583951
    - 0.33638820585073986
    - 0.905415205760766
    - -1.1136070087240086
    - -2.072683395147748
    - -0.13916706449889138
    - 1.3923160765420928
    - -0.1829269096330111
    - -2.1617925922077292
    - -1.1665191536333404
    - 0.7717472114347342
    - -0.21919623336441318
    - -2.575011221774962
    - -1.458098784173965
    - 2.603894727485375
    - 3.6237694845468433
    - -0.21303534246459124
    - -3.046248083961628
    - -0.43733646689409533
    - 3.4822866082771675
    - 2.5988743447404925
    - -1.554318641364728
    - -2.65682184535412
    - 0.2020434460309795
    - 1.7012417464145586
    - -0.6087356664639935
    - -2.733843280988362
    - -1.3352995033577957
    - 1.1175465347187261
    - 1.1436079272089597
    - -0.234553326956602
    - -0.3420473270940405
    - 0.25158884681417026
    - -0.3081324624857004
    - -0.9862394502287576
    - 0.022376279093396567
    - 1.102097844995335
    - -0.001489075761885351
    - -0.7070762663777288
    - 3.3129382303064565
    - 9.724423069589166
    - 10.609941976012223
    - 3.7768716750495996
    - -3.0460220865163112
    - -2.8316590418712226
    - 1.1892132431569031
    - 1.6295247092449499
    - -1.5576807490560798
    - -2.312042343964791
    - 0.880667675662961
    - 2.8824026950697226
    - 0.8310267244524345
    - -1.5642354769885014
    - -0.8202221266874945
    - 0.9311062466208501
    - 0.6202442317915132
    - -0.4281258327578238
    - 0.04657120975896206
    - 0.23094953679109
    - -2.4568767743440123
    - -5.6818992652213165
    - -5.093286592471382
    - -1.462966342921664
    - 0.4054136997564836
    - -0.6693641645336356
    - -1.1489054265639989
    - 0.3675305714048243
    - 0.9090888326710934
    - -0.7254137073502899
    - -1.2569415360707137
    - 0.8480570494316358
    - 1.8479862970730256
    - -0.3622005611689635
    - -0.686716708338555
    - 5.799463077369949
    - 14.209362131492489
    - 14.840263433071012
    - 6.808136736057417
    - -0.6036903672598289
    - -1.0424970855026676
    - 1.5093574903016285
    - 0.9798494515594689
    - -1.654508058815376
    - -2.013253600098143
    - -0.21631338790284477
    - 0.4545579314172462
    - -0.16463243785051393
    - 0.2427807576797954
    - 1.2732594763426883
    - 0.614842427561068
    - -0.8519072846114237
    - -0.07044332107912615
    - 2.321786943225688
    - 2.5092931629251867
    - 0.2760951271090431
    - -0.3818025009282325
    - 1.3105668389624299
    - 0.937778716952059
    - -2.8603119890164153
    - -4.2193042515711205
    - 1.0932892120484827
    - 7.578673289450383
    positive_zeros:
    - '2.03404178750600784939084843714'
    - '2.77289707291411899756305793045'
    - '4.512380528059808996230434380796'
    - '5.3397661706763280151491569581'
    - '6.53099890996205300271544334636'
    - '7.25603219965203400275319519515'
    - '7.80378257732279188499293967434'
    - '9.14961378178545259233546229633'
    - '10.705102829620800488345722024325'
    - '11.907767252220275486870303266906'
    - '12.12172029770188932637995790822'
    - '13.74539758158869518863335734445'
    - '14.01296120394549996660339192084'
    - '14.993480808709571451544309649247'
    - '15.86569180752743003215981399382'
    - '17.329822778003091258194859302038'
    - '17.78317689212995594433131733026'
    - '18.35276566824948899106307827455'
    - '19.66033205103386633491404097565'
    - '20.71454324970625553013586114882'
    - '21.97051480527685943452610923758'
    - '22.37897878907171448857785870934'
    - '23.3702879540167931921160670398'
    - '24.06571190192237681030222437906'
    - '24.802832376241144837666628897'
    - '25.56263852685233935870974665635'
    - '26.45974364322555880896603386465'
    - '27.27022103844318058948438760650'
    - '28.596558369505576836452391626671'
    - '29.50718003969073618570612583818'
    - '30.32038097903437103210443557400'
    - '31.09736937875095382275680205577'
    - '31.19244031567921750900161560888'
    - '32.79386065437686902255035119503'
    - '33.73971556379432782169100293953'
    - '34.16964897137560286942486722370'
    - '34.65989274204778080196031271454'
    - '35.85353861797005684323734512588'
    - '36.36351269723841570400091102044'
    - '37.46664176822000394524786671352'
    - '38.43918828643398982163475943305'
    - '39.47405593491504108527345594054'
    - '40.196535063514696280502315179738'
    - '41.074110733251636595093467185090'
    - '41.549201668262253258897571125057'
    - '42.04703049521242468958098385832'
    - '43.07320674194878979329371816679'
    - '43.77625145919626397837794070924'
    - '44.64103719841664489794115353296'
    - '45.73418487179009432928775985151'
    - '46.36565403357067874638956469561'
    - '47.09727257528246276106336685987'
    - '48.06764123031642482458968628667'
    - '49.02505790367354832302828866969'
    - '49.5130449272512665515155964581'
    - '50.41971024474405196465970801094'
    - '51.18855603243674323395248142216'
    - '51.87532814837421641256670232660'
    - '52.77358084940221230400010419721'
    - '53.30095858303371876784306558151'
    - '53.98857855740725294711558299139'
    - '54.36464338645752164074027230148'
    - '56.400159132152512243611702647992'
    - '56.67963345381940199245824685475'
    - '57.727235996454076678160352971242'
    - '58.06653661615654578166141036390'
    - '58.90643626077037169413592558801'
    - '59.719424303265145037916171747915'
    - '60.2989474886927825637623563399'
    - '61.00585911281806738498063868205'
    - '62.25017613767918532597970866136'
    - '62.45195341966371038944435808365'
    - '63.32173044863018675826491202740'
    - '64.2633194594994093222866138408'
    - '65.06960214839252975367955792291'
    - '65.946218160946020390735851770809'
    - '66.38687804101202538096270389595'
    - '67.6298795591038708103300860469'
    - '68.300826349139676844706000628903'
    - '69.17711259102738315881474199860'
    - '69.429741794792329079181777271945'
    - '70.09656772072902859893740474227'
    - '70.83349159074106880879827547936'
    - '71.56722491715395291368915582129'
    - '72.71302661681863343276557169440'
    - '73.133803246025848363408836851126'
    - '74.18062114710751942259752966057'
    - '75.36814669548313828792777569175'
    - '75.88470546647561276083703198323'
    - '76.11870431572028945591786469669'
    - '77.12318683003019246779672383035'
    - '77.84195547049406466037137077587'
    - '78.3673905527258315857149833535'
    - '79.63741445376161050315053626701'
    - '80.1124453469503847116575288417'
    - '80.58801841205665225591087328863'
    - '81.427729485777177772941948101471'
    - '82.01369660478946322292652359710'
    - '82.936688197813420403938329426994'
    - '83.95850654681349811806713761690'
    - '85.068467797501954083722475275475'
    - '85.324857948943150010697492678060'
    - '86.25811304080517823315811883673'
    - '86.4291062122104479543336234856'
    - '87.68344727595265944795588502774'
    - '88.34095054197210108155933668872'
    - '88.52895833429618796729229907548'
    - '89.278021257981562062156758812911'
    - '90.33732239913296294169121349859'
    - '91.21657376498613190558621287134'
    - '92.08338568549514797509775781487'
    - '92.83391943897123796125417324665'
    - '93.2156067791274042516108510147'
    - '94.08673028194673154937853722903'
    - '94.82923491578524594930541660241'
    - '95.927090390068393754579475337019'
    - '96.05238559200801313424961627693'
    - '97.203146294364417861836073159719'
    - '97.51028298131181193812592571795'
    - '98.5207048853764931934736606416'
    - '98.76992002123734290498971644573'
    - '99.792075563002440545953998465196'
    - '100.23451185908373919156123256945'
    - '101.5976235329887069517039157573'
    - '102.21269571079749477708734160312'
    - '103.03718687400513554031402258079'
    - '103.905088812594315001343346780'
    - '104.23652888505224845986778538868'
    - '104.98516381186548562570338750340'
    - '105.28026139471284301194906683481'
    - '106.13672868869571548902699056984'
    - '107.37701421879297612051634065565'
    - '107.64787885369330475135855013305'
    - '108.56267785380666940707229359222'
    - '109.01877536437052909341351807299'
    - '109.82996928550812611332186254053'
    - '111.00014738716315861214455420687'
    - '111.53047601052865146760569114338'
    - '112.13279532304399089402127725551'
    - '112.75005232360140547643304693177'
    - '113.8112670217108822667416695052'
    - '114.54985727603327495772490315904'
    - '114.98901733711263965088403362418'
    - '115.50740283941859138686998503966'
    - '116.28855572555024070487493878152'
    - '116.821220085232117456230495832110'
    - '117.55166338056371154502782717027'
    - '118.271714761019616078516092201625'
    - '119.83111804293600661864700215789'
    - '120.189897980028115117785304324998'
    - '120.5646836177784320019322545368'
    - '121.58568440378104965670121074399'
    - '122.168669787891252781232948108614'
    - '122.618111329029132833547922622396'
    - '123.481891463435597406571400450169'
    - '124.4703245284291050418388151688'
    - '124.60987006695068685809248261746'
    - '125.440602720302254124626645212667'
    - '126.451365062593039988283734719287'
    - '126.95910452983542092387759016570'
    - '127.6473351111510551605324522731'
    - '128.154520518073369766799614640930'
    - '129.14598504749083657938916113340'
    - '130.17101409314112575738557112027'
    - '131.011735121326694725510576459131'
    - '131.292460821299136967503079393992'
    - '131.92744550877682816945339541196'
    - '132.771247250957990254470791157763'
    - '133.13676183067964444393748182803'
    - '133.972864445199147941777649623989'
    - '134.53748710153508554737161402461'
    - '135.2946452274327237159703933514'
    - '135.9558938324251674670999153885'
    - '136.98649287414306972721687373070'
    - '137.67240736443169126941013866469'
    - '138.540888620623353465569730755272'
    - '139.02102172730413425871980634553'
    - '139.82763286258919812802621056155'
    - '140.20395669623024576006285918990'
    - '140.86730741898664171472187282110'
    - '141.93312724717327965559527071211'
    - '142.54418404909977393145898715816'
    - '143.24050461594572698237934837122'
    - '143.85709867495333556867217282225'
    - '144.24822511812176777908472079605'
    - '144.60291266681929512829117176140'
    - '146.17991761113451037850614847067'
    - '146.4267845943192157323770746925'
    - '147.66091795457702069694376428549'
    - '148.077083798087394797069331875810'
    - '148.920709113625074685677528123609'
    - '149.5286428752982762137209177768'
    - '150.15633582114550821745012928002'
    - '150.83591366663389779854850235007'
    - '151.232574648529677776123877229178'
    - '151.790758922095504453789972987331'
    - '152.70163527757001184378811435284'
    - '153.68861266171467067019792914551'
    - '154.20885762163165792709454920421'
    - '154.65943566953333592092502048585'
    - '155.92125339234145854221461118575'
    - '156.28543599818450260099643206902'
    - '156.91931993492873140313295184545'
    - '157.65527483192211732702058183968'
    - '158.63037462808051954981272741576'
    - '159.282162492038267310052454337'
    - '159.71646432349182762459217727918'
    - '160.27216578071762222564366230870'
    - '161.149841628852028037387729660926'
    - '161.68304135392139061250053444012'
    - '162.43833801511641319147625154195'
    - '162.784183778317245000095590737490'
    - '163.538026061987920931421155875317'
    - '164.52849638174339460797817493933'
    - '165.748566885266496469078490876892'
    - '166.30219257365545673403157051755'
    - '166.67797151540443338309807599599'
    - '167.184135026032741678580421352673'
    - '167.78740076595274758539249960711'
    - '168.70165374659002530017499778160'
    - '169.224883199595829435469875668261'
    - '170.01737903224994519054898134550'
    - '170.60263117115348160031086401839'
    - '171.40767491883019352454700285594'
    - '171.84649405004474101039204820642'
    - '172.6167731007242229726239605030'
    - '173.423145020639878879040230926877'
    - '174.09222794657600022736130107702'
    - '174.88013221804163498883798113423'
    - '175.60529191601178448850839700062'
    - '176.18941277676492071806680004188'
    - '177.02520648152181536425829541977'
    - '177.74858204921168079715387428932'
    - '178.27231288435175533809401392432'
    - '178.649871409745605385984395544'
    - '179.370616856756361147504281391673'
    - '179.9997374873412711119272200130'
    - '180.41364474284167231900507822228'
    - '181.70729762064120326600933703767'
    - '182.39947602573027873461010355933'
    - '182.98025342760036390745051482642'
    - '183.67601273475121980323158621178'
    - '184.45828237040644669002842932645'
    - '185.12490952526091087232274116010'
    - '185.77635312624652683479663242407'
    - '186.23470059399522787056856941630'
    - '186.61322672775936377638134322413'
    - '187.982032271855403397530195597069'
    - '188.295142672419721884114365755469'
    - '188.99589592433287075657861694111'
    - '189.567924230464535312235105265959'
    - '190.2060528826853545578786444593'
    - '190.8946840214189960594454897276'
    - '191.30847349020579264377487812647'
    - '192.77150073253852649655886428748'
    - '193.243853313966137731111872866863'
    - '193.86437017000727697798915980126'
    - '194.73093946583434695342984335063'
    - '195.22060178581368949448647258738'
    - '195.5484342336099104609308953266'
    - '196.36340759498021671400923708952'
    - '196.88507641704483488423937960213'
    - '197.85646515377313571615124802513'
    - '198.213609837456206697601871057547'
    - '198.84342331948527226305409359638'
    - '199.64116423642891510657437790515'
    prelabel: 1-367-367.137-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.7043408348011304
    root_angle: 0.6773484501500238
    root_number: -0.528774958600014861281295303316+0.848762065102789905250201598741*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.338674225075'
      prec: 47
    spectral_label: r0-0
    st_group: mu(61)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.10713574013299730084014899649+0.681287098935588369172069187181*I
    z1:
      __RealLiteral__: 0
      data: '2.03404178751'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.77289707291'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.51238052806'
      prec: 44
- - algebraic: true
    analytic_conductor: 1.7043408348011304
    bad_primes:
    - 367
    central_character: '367.137'
    conductor: 367
    conductor_radical: 367
    degree: 1
    id: 24709
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/367/137
    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: 1-367-367.137-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: 1-367-367.137-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 1.7043408348011304
    root_angle: 0.3386742250750119
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '2.03404178751'
      prec: 44
- - Lhash: dirichlet_L_367.137
    Lhash_array:
    - dirichlet_L_367.137
    id: 1806218
    label: 1-367-367.137-r0-0-0
    type: DIR
    url: Character/Dirichlet/367/137
label_cols:
- label
- label
- label
labels:
- 1-367-367.137-r0-0-0
- 1-367-367.137-r0-0-0
- 1-367-367.137-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-05-21T22:13:09.248866'