data:
- - Lhash: dirichlet_L_571.163
    a10:
    - -0.768401110856859
    - -0.6399685405033165
    a2:
    - -0.6772815716257411
    - -0.7357239106731316
    a3:
    - 0.82800883114802
    - 0.5607150573516727
    a4:
    - -0.08257934547233232
    - 0.9965844930066698
    a5:
    - 0.9912640693269752
    - -0.1318921713420689
    a6:
    - -0.14826364771184194
    - -0.9889478706014685
    a7:
    - 0.7468214769841538
    - -0.6650245721138482
    a8:
    - 0.7891405093963936
    - -0.6142127126896678
    a9:
    - 0.37119724891822076
    - 0.9285540384897071
    algebraic: true
    analytic_conductor: 2.6517128519657915
    analytic_normalization: 0
    bad_lfactors:
    - - 571
      - - 1
    bad_primes:
    - 571
    central_character: '571.163'
    coeff_info:
    - x^95 - 1
    - 0.997813627218775 + 0.0660905843256994*I
    - \\zeta_{95}
    conductor: 571
    conductor_radical: 571
    conjugate: dirichlet_L_571.564
    degree: 1
    dirichlet_coefficients:
    - a^0
    - a^60
    - a^9
    - a^25
    - a^93
    - a^69
    - a^84
    - a^85
    - a^18
    - a^58
    - a^37
    - a^34
    - a^33
    - a^49
    - a^7
    - a^50
    - a^12
    - a^78
    - a^28
    - a^23
    - a^93
    - a^2
    - a^29
    - a^94
    - a^91
    - a^93
    - a^27
    - a^14
    - a^90
    - a^67
    - a^50
    - a^15
    - a^46
    - a^72
    - a^82
    - a^43
    - a^43
    - a^88
    - a^42
    - a^83
    - a^55
    - a^58
    - a^1
    - a^62
    - a^16
    - a^89
    - a^50
    - a^59
    - a^73
    - a^56
    - a^21
    - a^58
    - a^92
    - a^87
    - a^35
    - a^74
    - a^37
    - a^55
    - a^65
    - a^32
    - a^79
    - a^15
    - a^7
    - a^75
    - a^31
    - a^11
    - a^92
    - a^37
    - a^38
    - a^47
    - a^19
    - a^8
    - a^43
    - a^8
    - a^5
    - a^53
    - a^26
    - a^7
    - a^89
    - a^48
    - a^36
    - a^20
    - a^69
    - a^23
    - a^10
    - a^61
    - a^4
    - a^27
    - a^69
    - a^76
    - a^22
    - a^54
    - a^59
    - a^15
    - a^26
    - a^24
    - a^63
    - a^38
    - a^55
    - a^21
    euler_factors:
    - - 1
      - a^60
    - - 1
      - a^9
    - - 1
      - a^93
    - - 1
      - a^84
    - - 1
      - a^37
    - - 1
      - a^33
    - - 1
      - a^12
    - - 1
      - a^28
    - - 1
      - a^29
    - - 1
      - a^90
    - - 1
      - a^50
    - - 1
      - a^43
    - - 1
      - a^55
    - - 1
      - a^1
    - - 1
      - a^50
    - - 1
      - a^92
    - - 1
      - a^65
    - - 1
      - a^79
    - - 1
      - a^92
    - - 1
      - a^19
    - - 1
      - a^43
    - - 1
      - a^89
    - - 1
      - a^69
    - - 1
      - a^69
    - - 1
      - a^63
    - - 1
      - a^13
    gamma_factors:
    - - 0
    - []
    id: 60049
    index: 0
    label: 1-571-571.163-r0-0-0
    leading_term: 1.53742733386854986165709333776+0.351161177586420221094478639209*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/571/163
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 1.5770215532991416
    - 1.9412873338436087
    - 2.2305327068081278
    - 1.971420480203025
    - 1.1600334685676978
    - 0.26765814118150066
    - -0.1016569058170764
    - 0.3156232135395557
    - 1.1613320030797856
    - 1.6416919713877203
    - 1.1368824365834176
    - -0.19917907900460055
    - -1.3956583540401142
    - -1.3660588056912242
    - 0.09414338074185824
    - 1.853878522480908
    - 2.0904131413873004
    - -0.2858300461516674
    - -4.52020962419721
    - -8.250593192100402
    - -9.113065634699042
    - -6.5367949870220485
    - -2.2379085342038376
    - 1.0858588084034444
    - 1.8241692000273422
    - 0.5427786346173353
    - -0.8092055537897846
    - -0.777679859911321
    - 0.4029451795953568
    - 1.3568135901650462
    - 1.1683916095107014
    - 0.31769408049850656
    - -0.018774746075178917
    - 0.5244431474492439
    - 0.9418065304112713
    - -0.006545311665883976
    - -2.1534373086214877
    - -3.7079544578505303
    - -2.9598259127469104
    - -0.2176078533289056
    - 2.2070804252737277
    - 2.2046073886995057
    - 0.05187285147092635
    - -1.8337154193621448
    - -1.4786976386440949
    - 0.43815861080270296
    - 1.2474065609118088
    - -0.7370454940526988
    - -4.130635553097772
    - -5.685798804852932
    - -3.6499980938143626
    - 0.32544211787975663
    - 2.851860726818434
    - 2.272495519547912
    - 0.16621446120246064
    - -0.6771410304486224
    - 0.5795351469919425
    - 2.1045173449937793
    - 1.7953874412902207
    - -0.15777073653002333
    - -1.5681095755648267
    - -0.9304432299620632
    - 0.8315215311063051
    - 1.620406116891395
    - 0.746735447502029
    - -0.4237098877488882
    - -0.46220310797949515
    - 0.2253530741391658
    - 0.19465693184087024
    - -0.5972914850475445
    - -0.20264972941077175
    - 2.7619746930596976
    - 6.448480170834945
    - 6.84016067083824
    - 2.090842088554484
    - -4.718698381912378
    - -8.064276367368876
    - -5.437532561181247
    - 0.18513286588628305
    - 3.632557771427945
    - 2.826500710859222
    - 0.18931139263676267
    - -0.9262786142941266
    - -0.09959107830706232
    - 0.4961518206584487
    - -0.45616471363124095
    - -1.673181849267065
    - -1.3526576302894262
    - 0.06843961961250902
    - 0.4158483505937217
    - -1.1379504562171954
    - -2.742024326982503
    - -2.2774776854281984
    - -0.3001584981901634
    - 0.5896299939874107
    - -0.7575697024903144
    - -2.4261021281493265
    - -2.036547608220076
    - -0.09877952809593521
    - 0.5879241474706364
    - -1.1162286771153802
    - -2.7917622786464698
    - -1.5198707979189447
    - 1.9592645428735802
    - 3.730670521837911
    - 1.59609623789875
    - -1.950869496600109
    - -2.8145494299436455
    - -0.6496997468992004
    - 0.5514088995240669
    - -2.3893264423477474
    - -7.5123758283500415
    - -9.826186608015217
    - -7.164265116111492
    - -2.418717844046479
    - 0.2954770118749114
    - 0.22840683307329662
    - -0.31500673281065056
    - 0.1502315201244986
    - 0.6042497184548821
    - -0.09452065834168116
    - -0.9505158614774982
    - -0.32721103264214274
    - 1.211330374919877
    - 1.4089814135067236
    - -0.2088978954664291
    - -1.1810997013297841
    - 0.43425987717130976
    - 2.715051205996643
    - 1.9574026506408893
    - -2.0158952558619228
    - -4.752763651473024
    - -2.575110207366473
    - 2.3009902310777637
    - 4.0285819654709565
    - 0.2807647328125135
    - -4.895513264429125
    - -6.169325446588224
    - -3.1924713391175112
    - -0.09077140677347581
    - 0.3855985741937062
    - -0.2022448749024647
    - 0.6335755430843673
    - 2.2537971561157875
    - 2.1464981125659937
    - 0.17774289975906699
    - -0.8864852694872073
    - 0.5135773016006975
    - 2.2319236709690133
    - 1.4459182500014343
    - -1.1702077796774037
    - -2.33360861233324
    - -0.8321159798896646
    - 0.8991300991302019
    - 0.5167921731647126
    - -0.9167086102696247
    - -0.9785970863738482
    - 0.13107081552635308
    - 0.1421910339117144
    - -0.9324442626929825
    - 0.1202784177017428
    - 4.72770874871984
    - 8.720610288621359
    - 6.386802606435815
    - -1.9485540248927358
    - -9.175800564792862
    - -9.317681264126604
    - -4.148222610285535
    - -0.13259498180537416
    - -0.26465117466064214
    - -1.6515284880793148
    - -0.9665852803842246
    - 0.833499204468718
    - 0.8391471946993733
    - -0.9531651728541837
    - -1.8176476320380022
    - -0.6750916772197927
    - 0.47965425008205703
    - 0.06301809312269102
    - -0.6361797700517214
    - 0.01922097903674461
    - 0.9455411366873102
    - 0.19509367240222408
    - -1.073511443765308
    - 0.4929486658504935
    - 5.064789888763606
    - 8.040155560183333
    - 5.747481309905162
    - 0.7826931483405271
    - -1.116068148854659
    - 1.2700609809562011
    - 3.309779710191914
    - 1.424145508813143
    - -1.86109620973326
    - -1.9653544854672098
    - 0.8616547737540867
    - 2.0991238930413036
    - -0.1334714862301661
    - -2.367979536493822
    - -1.2098775701267932
    - 1.5420282980329558
    - 1.7818794450790003
    - -0.6644953169675764
    - -1.986138883742388
    - -0.29629681700733146
    - 1.7151859796638802
    - 1.1472560996053216
    - -0.850523179969541
    - -1.3352228148257481
    - -0.19846606101049727
    - 0.32199773662939796
    - -0.08390883905206208
    - 0.7140577009301924
    - 3.0879129057632695
    - 4.134868947160708
    - 2.0786609269434213
    - -0.45115329130532783
    - -0.37568247465018795
    - 0.3268911134098916
    - -3.014201422075054
    - -9.887541334561579
    - -13.265185710645778
    - -8.302333911643576
    - 0.60845842061846
    - 4.805279156018575
    - 1.8868001729353663
    - -2.4377493244463357
    - -2.7903170875230328
    - -0.3765616657940603
    - 0.7014081344917884
    - -0.15092716125628872
    - -0.48741154302983036
    - 0.2956681676894589
    - 0.4147748979472399
    - -0.28863021072590306
    - 0.4371432261246284
    - 2.982490310045288
    - 4.083509347915913
    - 1.448407853528047
    - -2.250806830555985
    - -2.8679745085515944
    - -0.7092677813415524
    - 0.40933636674714907
    - -0.6047901003590752
    - -0.7834104046953786
    - 1.1838834464256842
    - 1.9026791658503805
    - -1.393995883401724
    - -5.461557043602941
    - -4.979157432521971
    - -0.5162273766686168
    - 1.9201319081847636
    - -0.38131776649786936
    - -3.014788421625931
    - -1.4124422339430984
    - 2.179189826708945
    - 2.352148376899823
    - -1.125662987145894
    - -3.2093929313040697
    - -1.4142192533632199
    - 0.8322398584058924
    - 0.009858057536491379
    - -2.2364204364016564
    - -2.33085763221253
    - -0.4518095423284925
    - 0.479962036037061
    - -0.09218328056201072
    - -0.06502024022108983
    - 0.9713589168116793
    - 0.9629233532312075
    - -0.4270459531536175
    - -0.6815856090935405
    - 0.8544859886650986
    - 0.7958729994767935
    - -2.6632553675317165
    - -4.903860510321153
    - -0.2724802537619457
    - 8.808724361033802
    - 13.258790554410576
    - 8.767316903543506
    - 1.189583853420639
    - -1.7730795692073542
    - -0.21525623357209236
    - 0.44784145436038736
    - -1.3850540208162074
    - -2.152743442277879
    - -0.20460379828811148
    - 1.2480133069525465
    - -0.24459531463334247
    - -2.2444303132638677
    - -1.6790605659035154
    - 0.10837596899752563
    - 0.04991900196633534
    - -1.2373299375935272
    - -0.8295932248540261
    - 0.906742826640027
    - 0.5846250336762994
    - -2.1899523073338956
    - -3.508506846491116
    - -1.29335727429081
    - 1.263997010493214
    - 0.8695389236202236
    - -0.7393923704485144
    - -0.30446976075265975
    - 1.096727803930356
    - 0.3290332031443012
    - -1.2322209055205662
    - 0.9568219445515403
    - 6.263509418679048
    - 7.651945816726879
    - 1.5242736959704388
    - -5.904467745154012
    - -6.381963717954521
    - -0.6687709692241521
    - 3.2984001376577425
    - 1.7143262928927485
    - -1.2900762626604643
    - -1.3930684931580388
    - 0.01712091545981899
    - -0.055641148740767005
    - -0.8312430871743575
    - -0.09461098572797028
    - 1.1988580196318488
    - 0.7418727456378998
    - -0.6221618086694112
    - -0.37811931315531283
    - 0.8314313938069227
    - 0.27152540181259643
    - -1.3571415801581213
    - -0.2979808222774386
    - 3.5177722285733033
    - 5.101534744963733
    - 2.10266349773842
    - -0.7900869948424556
    - 0.9803342552565961
    - 4.069218218125131
    - 2.048140987476095
    - -4.126364863367661
    - -6.784574164969798
    - -2.746478710023543
    - 2.328997740694876
    - 2.721206362491407
    - 0.24208795340397946
    - -0.41852075153479185
    - 0.6553433162757119
    - 0.5418672677359422
    - 0.025182693035946814
    - 2.3437744909704366
    - 6.437991868484376
    - 7.253509220352605
    - 3.4446890700582533
    - -0.3441575672209583
    - -0.520036343553316
    - 0.7330752643294748
    - 0.20182345730263815
    - -1.0833851049986054
    - -0.7621362043965557
    - 0.10890806193502821
    - -0.5719610572804955
    - -1.4285355059348848
    - -0.26293079754946286
    - 0.5912373634335518
    - -2.7657463574408356
    - -8.019786370629681
    - -8.157988478665771
    - -2.106318812932189
    - 2.3870766090812303
    - -0.23037907025961807
    - -4.9126697411483535
    - -3.676801241220274
    - 2.419280011961442
    - 5.391834491925522
    - 2.395242654334169
    - -1.2626621149603003
    - -1.2747043808209382
    - 0.12621314318365057
    - -0.25607965220137524
    - -1.1891348979896557
    - -0.5239587914846437
    - 0.338284282881743
    - -0.5556907074554958
    - -1.5998631682170505
    - -0.6889821245850756
    - 0.3373656081009466
    - -1.1076861295391773
    - -2.8770614083735184
    - -1.0711415667401398
    - 2.723556263481919
    - 3.030330801262798
    - -0.6387073386182472
    - -2.624808415282862
    - -0.28878381970604117
    - 1.8020222654185838
    - -0.11520250808549962
    - -2.5446237099659177
    - -1.0519813802144977
    - 1.6411003032354898
    - 0.1522482629293186
    - -3.9435455058175752
    - -4.1489673306482775
    - 0.25845550953496055
    - 2.869882485643467
    - 0.4593247004335567
    - -2.2305746339103747
    - -0.6861827168416302
    - 2.4153280644785604
    - 2.47268951538121
    - 0.3698575517555651
    - -0.29222765439372694
    - 0.17689733495231336
    - -0.8931126758338961
    - -2.6640007662253122
    - -2.035111877348064
    - 0.4326061925197119
    - 1.222667928834957
    - -0.027848694780906798
    - -0.4575001851217007
    - 0.12266073968478097
    - -0.9091244814156435
    - -2.610019081321595
    - -0.6049855805941095
    - 4.076428217023208
    - 3.1723454321324067
    - -7.053480314394989
    - -17.840154473536867
    - -18.134950385502126
    - -9.065756503445652
    - -1.239593670739466
    - 0.056882247380587794
    - -0.8085447031457744
    - 0.27932407854114016
    - 1.2231583079074777
    - -0.23270891767744153
    - -1.6026634305437428
    - -0.5845549617284862
    - 0.51270353871289
    - -0.6126311594841507
    - -1.6706387983256956
    - -0.22266220336372516
    - 1.1865052640568206
    - -0.6931157138333583
    - -3.5709264286437303
    - -3.1043766198609415
    - -0.267937694898663
    - 0.5910281796110372
    - -0.582285332414356
    - -0.1449445516934639
    - 1.7480074280934033
    - 1.105405492931357
    - -1.9570591429690818
    - -2.384499664948129
    - 0.7683263204566938
    - 1.5857802096665392
    - -2.860391455840021
    - -6.61845997502944
    - -4.06312510697719
    - 0.7079247945335104
    - 0.4160094248469744
    - -3.6707307640875335
    - -4.378606263434998
    - -0.6790628477106464
    - 1.2401215684009645
    - -1.2452342081117436
    - -3.366932628888491
    - -1.5590983517603672
    - 1.1699388389489387
    - 1.2715853048354377
    - 0.12283745768029328
    - 0.1079399721139408
    - 0.3229987874103331
    - -0.2318680573930215
    - 0.20390944453192428
    - 2.0212088662781533
    - 1.7731158527482922
    - -1.8212529357172702
    - -3.8585809015544688
    - -0.5177858972557561
    - 3.777871506390273
    - 2.924414646984242
    - -0.5295469069168424
    - 0.5731081845860334
    - 5.553853523873291
    - 6.373894171220526
    - 0.8235755506434737
    - -3.722791715215512
    - -2.175665911653356
    - 0.9061285945148275
    - -0.01782944122667071
    - -2.639691269821105
    - -2.1949367233576984
    - 0.078731748128041
    - 0.23374804689547196
    - -0.9337060597473062
    - -0.3440535318499545
    - 0.6190152199082067
    - -1.385428167806377
    - -4.5390074479011755
    - -4.098291484516492
    - -0.5746563855172854
    - 1.0123803260362094
    - -0.44165164890383746
    - -1.1158276880150306
    - 0.24084103805444768
    - 0.6252258418280162
    - -0.5705682180511226
    - -0.1310810532426214
    - 2.1547948269797415
    - 2.2416997802668273
    - -0.23758086970517125
    - -0.21020956330061358
    - 2.9756707943065774
    - 1.665246925973166
    - -8.173862520822098
    - -17.84521198239596
    - -16.598905973316857
    - -6.74845757664428
    - 0.3406390965726488
    - 0.26600816011793826
    - -1.3711887253103705
    - -0.46103696465571375
    - 0.46699855041992955
    - -0.5609754234038496
    - -1.0753652471833763
    - 0.1296587477734392
    - 0.32321426944850923
    - -1.4536355064911983
    - -2.0575687374266076
    - -0.23655038447670118
    - 0.8379685098716346
    - -0.2906683304526481
    - -0.5960043197595386
    - 1.0498528535878535
    - 0.9877189595468099
    - -1.8645535010266492
    - -2.2362026434376694
    - 2.695296760650207
    - 6.868717686671178
    - 4.315109503921735
    - -0.7242175622524969
    - -0.4460417883051302
    - 3.897278344319303
    - 4.803823087428636
    - 1.257035248283192
    - -0.773528549310267
    - 0.4395749301000043
    - 0.2995260195454861
    - -2.2174703984918334
    - -1.9782220898699419
    - 2.532075211498596
    - 5.390800206911855
    - 2.8645267193699633
    - -0.6134145086211905
    - -0.3777913627466398
    - 1.2482291254858922
    - 0.506610067422101
    - -0.9767537100767317
    - -0.2667627464788579
    - 1.0501239658076946
    - 0.5361819099967849
    - -0.042330979577090026
    - 1.3564071490588776
    - 2.364715342932615
    - 0.836552963764486
    - -0.34361696015678095
    - 0.9761616743644794
    - 0.47975710362005075
    - -5.259725886630255
    - -10.146258443309002
    - -6.332244205988442
    - 2.3492728799225695
    - 4.806710889314225
    - -0.6021712205782742
    - -4.3079396527212594
    - -1.21283538561057
    - 2.4568612195274517
    - 0.9047672073005071
    - -2.36747461475987
    - -2.1868424978157734
    - -0.12019992408334965
    - 0.24409261452632325
    - -0.10888179832658382
    - 0.7605031749313659
    - 1.0659638827846114
    - -0.5545128565961943
    - -1.3142234343334125
    - 0.28780022203966754
    - 0.4770628107446436
    - -3.060896244695776
    - -5.6818967098591555
    - -2.9793019811127253
    - 1.4425643236720918
    - 1.9064419003385034
    - -0.2253389057829288
    - -0.4223954242509299
    - 0.48658668020065765
    - -0.3267539249126411
    - 0.2024279646830116
    - 6.254430130892082
    - 13.13711389825008
    - 12.149744325478284
    - 4.378146473101231
    - -0.4598347139008321
    - 0.9678976739099464
    - 2.042862242745749
    - -0.9588387787716866
    - -2.9614876791592586
    - -0.4171289111320319
    - 2.076986396110116
    - 0.37908673040813506
    - -2.07185024251845
    - -1.1277879369722394
    - 0.9396246082373543
    - 0.6397744391096599
    - -0.4049491657219513
    - 0.3326059123382421
    - 1.1364833641647307
    - 0.16485186927471393
    - -0.43448379109577734
    - 0.759759931943741
    - 1.0406481984620395
    - -0.4763447640106456
    - 0.24489288967958708
    - 3.891466451428762
    - 3.422069118229194
    - -4.857192575845409
    - -12.49451445653627
    - -10.11313671303284
    - -2.0002231469068423
    - 0.5712619842031432
    - -3.4709123945525393
    - -5.424482976803726
    - -2.0605194276289467
    - 0.9132220519305313
    - 0.3247542617033937
    - -0.3150387755780969
    - 0.6601496358128938
    - 0.15616510199427955
    - -2.093505625175629
    - -1.8587355292642527
    - 1.3621694014013754
    - 2.5941153598697158
    positive_zeros:
    - '1.70925987739259305019054405489'
    - '2.01929530788979267908498365381'
    - '3.39533236771533202113031820456'
    - '4.3594057707756424895212655706'
    - '5.28710182857267905339686089265'
    - '7.06035267903345024186647938567'
    - '7.91666617251769628543752812557'
    - '8.65532630777018038896864638414'
    - '9.87236308929525475266011974921'
    - '10.02761416941856270201565300139'
    - '10.936323223360553389139516817262'
    - '12.20992640844787938605884184592'
    - '13.13152032971212111849745235666'
    - '13.992142368454591079030395892264'
    - '14.609245800899195123675287453'
    - '15.911044545830593985864732151218'
    - '16.90400245427375767295331185749'
    - '17.39527450914520587171781889650'
    - '18.41413497071088732687531402634'
    - '19.22779378477925973822902247209'
    - '20.17650661053621603675389073580'
    - '20.828785025076873206181575985319'
    - '21.33404924037418707822692989475'
    - '21.90954421163403802814958277711'
    - '23.21931652440113437818316025232'
    - '24.36413866044622547693274769874'
    - '25.33959486784046582019631027233'
    - '25.96565939211931934207786351098'
    - '26.45780358758033782276225405467'
    - '27.48318952640035022440347790516'
    - '27.93064800912466157971810813281'
    - '29.116146525371086628973026004046'
    - '29.558997807283850170861945228203'
    - '30.64274930021524588253199415587'
    - '31.08551558307400258946050733518'
    - '32.01739959148000984667748946373'
    - '32.944763689346443580934913346299'
    - '33.83899401147011519453912199836'
    - '34.17346102540138004997659872959'
    - '35.87237132971457087805448689779'
    - '36.342990342390900771016250048607'
    - '36.812107575045461367157410453019'
    - '37.473028270400067134531245466714'
    - '38.19256757053589944172413937326'
    - '39.027394828860470450025915836088'
    - '39.63307550267330559299552809305'
    - '40.48077371982623203734334264390'
    - '41.41307472599961715601350936443'
    - '42.20332375503868436637024203388'
    - '43.453358426441930524142714884066'
    - '43.917564841372164933027646811417'
    - '44.22278885621145458001363681702'
    - '45.34038975849119833576001338577'
    - '45.859678042604097328240340349346'
    - '46.73783474498167099354927036965'
    - '47.6215671244105733725285517953'
    - '48.23279879532885453095066000690'
    - '49.02043844319835775466043670739'
    - '49.42007536724082572728919244615'
    - '49.98731238384826930246476267030'
    - '51.18430743326423530513869185856'
    - '52.52472889039354114363754890744'
    - '52.75222197445640035980859612052'
    - '53.59407222713090752410485946649'
    - '54.22097257333665080661768429834'
    - '55.14104017408432813767369433642'
    - '55.645513737613236004403774422910'
    - '56.244960227188527465161023759463'
    - '56.9137234811807517166625534216'
    - '57.45259818167320856494549296300'
    - '58.81376659617370704658713064140'
    - '59.24713631721330401541459064984'
    - '60.1230966290559584286910735067'
    - '60.847763408680325020679393379555'
    - '61.5489027169913589933535658189'
    - '62.31720933545867461237649238208'
    - '63.04780308944202474169419985170'
    - '63.78638420109188908232560563893'
    - '64.5486850611507830103814081219'
    - '65.36987355318343130788822227265'
    - '65.85592916011092155369584392372'
    - '66.0716256232434452376618984684'
    - '67.421309892460079338381274688852'
    - '67.906608270207055947849630251004'
    - '68.20182210781498265332326486612'
    - '69.66361884022974661336302291531'
    - '70.43143434155163690145118873035'
    - '71.30606596126609935548558498683'
    - '71.82935164460340765683432494886'
    - '72.391646835511248455069695130404'
    - '72.98518788149233494578429203021'
    - '73.35309261698716863660561314385'
    - '74.4860278109801226195300094379'
    - '75.42832592162279849292913131725'
    - '75.78893575137371308292802782027'
    - '76.39702186478959419647726460239'
    - '77.08914344981208224648643728830'
    - '78.162228198982961028369464010212'
    - '78.71626738832200931851704240533'
    - '79.490537327924556278720119805755'
    - '80.22104152384437851749989318677'
    - '81.09790841466286734712280364499'
    - '81.56389453836662353121174388834'
    - '82.58644961795891398215466594095'
    - '83.08212267870288911068719127195'
    - '83.46243246230002434821716180588'
    - '84.281830211042198261131483806921'
    - '84.841046779898196766143323594842'
    - '85.408929183961207255728306784985'
    - '86.26038400129403159443326015962'
    - '87.56843729284746931830539279595'
    - '88.16112966721346579881570351880'
    - '88.540038114752912564609012124011'
    - '89.401620291812666434547549289041'
    - '89.968387075248990136645742527665'
    - '90.91083614137889008239356845730'
    - '91.26312061000404484701427183279'
    - '92.0184300185385444366871402457'
    - '92.57936696806027700396311696102'
    - '93.5670586343926999907734305035'
    - '94.21134680518213646340500406504'
    - '94.7469973420361392080318414535'
    - '95.36453965793246021137978790297'
    - '95.864473074549943460831174456401'
    - '96.93088589762165412684105444519'
    - '97.847075970409638137967573604282'
    - '98.59436036885829977730904619869'
    - '99.36929219303712610525675112747'
    - '99.666951301441480421696116460250'
    - '100.33234818901359181372711535937'
    - '101.09146837983796795014677773524'
    - '101.65226434325987838194876297422'
    - '102.23618016231422631767037891788'
    - '102.84206580564824263381236704993'
    - '103.92922448820819350248296636054'
    - '104.28128772488907455349708025642'
    - '105.109968232502196554954769867207'
    - '106.084488968933892705508189540457'
    - '106.914146220390165753961332378773'
    - '107.316057048766014901473128836720'
    - '108.03135345322100161044831781645'
    - '108.10720329715139432467295596684'
    - '109.6424747085073523608597193449'
    - '110.11369506894854255811303341598'
    - '110.66810677276651613380364286088'
    - '111.48632914050784176047137074816'
    - '111.705700596959334747195220166506'
    - '112.54612560936309583302993880940'
    - '112.91688821953837724063830085559'
    - '114.16540253935649264200537334796'
    - '114.67358862868722433426428227583'
    - '115.50499041594627767871958995607'
    - '116.42535341675605598867734716541'
    - '117.141886354796709137967277665717'
    - '117.42478569102763085334032914508'
    - '118.26085228533420035895668215134'
    - '118.62193637166315464610954393558'
    - '119.520521708883332762919528728006'
    - '119.82653565856552142745117293016'
    - '120.71049227532406645336144925670'
    - '121.51265060181320650129590679098'
    - '122.215091630241857962473990743711'
    - '122.80128613460704984503140221503'
    - '123.5382915466000370044134963491'
    - '124.07482873118446246822722845294'
    - '124.98303287942900977854571238411'
    - '125.66363238294191345015152389001'
    - '126.31295120475485595418090588861'
    - '127.2627118782886581520592884038'
    - '127.65908087910295809961220340089'
    - '127.93740001108630684589227197998'
    - '129.003666396221799643250426421533'
    - '129.68074249435283974504610662416'
    - '130.21368577397722985681866720068'
    - '130.43312763602763238199145487748'
    - '131.29157628604652013905871684340'
    - '131.99883561557150096350156883614'
    - '133.57011538905658091266088510710'
    - '133.76847253211828992214555451604'
    - '134.32319743010732162577751103247'
    - '134.96508225423623715172212804809'
    - '135.73710047840591625750411542433'
    - '136.13522675159860248125801350885'
    - '136.906667599030013830649010004705'
    - '137.428744161007212559267054146718'
    - '138.474630026131921355165965141422'
    - '138.91255997718955124470363010339'
    - '139.40013827404237565153547938084'
    - '140.11733901577896501297367874700'
    - '140.86647855334395321331667256369'
    - '141.39359990606273991212964093'
    - '142.437496878036700573532514909389'
    - '142.84932284950482249077919912540'
    - '143.807585723881743813626282084828'
    - '144.257037310086738528131737195885'
    - '145.155378458588255474755228898068'
    - '146.00858284073186292543518578812'
    - '146.16425933569484942626622709603'
    - '146.75381387225013480765836392629'
    - '147.13860552146132271023391630683'
    - '147.98456841638637935960266990925'
    - '148.78121449140773195462759911795'
    - '149.62275047278644109100044774004'
    - '149.952101213665052889047122179769'
    - '150.9771919492599582768917297782'
    - '151.751756482267587018419255635932'
    - '152.185470339013377116724602707751'
    - '153.11027830508030953197348561745'
    - '153.49691999382916385298211086959'
    - '154.13535595634902419934668682016'
    - '154.536122650951741134942835780891'
    - '155.68348995667155748227142179425'
    - '156.17455633074722650141938526561'
    - '156.82472574297612521059014079800'
    - '157.3544234581630353654378263497'
    - '157.8336290684358604532563646833'
    - '158.71694178902050693177302722371'
    - '159.088466578705936820286412164541'
    - '159.7607731692835494001632979768'
    - '161.21995062132454954652058097010'
    - '161.6010355287196075328692650170'
    - '162.28172303832428373291715096063'
    - '162.68343718648515349165717210864'
    - '163.40641237574353952783145994254'
    - '163.82480288681025154521256914115'
    - '164.7238711436677501536738416506'
    - '165.24845165511331014669135485917'
    - '165.75479030049096991837692778328'
    - '166.37289129487467448084949672679'
    - '167.044567647814398865529646302140'
    - '168.064744869127861407513388506720'
    - '168.474871664471650609646797844931'
    - '169.49565286617008428691232590947'
    - '169.91048644518699604887312991051'
    - '170.35745550374595634501912533050'
    - '171.09298579731878711847359920581'
    - '172.107494564827017168525368239544'
    - '172.56200595649892254770615999754'
    - '173.21057295047024015868399094597'
    - '173.800402703905574219693662584785'
    - '174.5514867814123356680273729695'
    - '174.712608835972960350571361754736'
    - '175.76591738481815782504522091111'
    - '176.06312840220529490646560995809'
    - '176.60324902259767248016172283446'
    - '177.72091368602685326186688093079'
    - '178.40832253498317576920929011699'
    - '179.140005511553322907250864138949'
    - '179.76327719472017374421007551212'
    - '180.6519747446255301054802001721'
    - '181.07205145475675942913553633031'
    - '181.32717305388559582572754380914'
    - '182.0970017769409876837660197745'
    - '182.76391245786186464055840797534'
    - '183.188664310728466007586903388097'
    - '184.25478489819298668118929486891'
    - '184.9602935217943727885159676907'
    - '185.42769974726808406550336030307'
    - '185.85483183009439016268741376788'
    - '186.22840687822324359065347230254'
    - '187.741496395094805133985165080493'
    - '188.00521489325954756128270479985'
    - '188.67027006334438781481476168952'
    - '189.410556076692674095298187782523'
    - '190.037766400361385678588630628265'
    - '190.771184958244340151112792348'
    - '191.3994173191382462435516624555'
    - '191.79338588670116802982799303313'
    - '192.53953208914060813794387680478'
    - '192.957719849334395243057747152162'
    - '193.649972878930298986472181952870'
    - '194.03379912867519019704677337006'
    - '194.84302259288230378091905479324'
    - '196.05398037416894514530110465527'
    - '196.3188807832664019128865389724'
    - '197.35717737842009345923419437898'
    - '197.890246792021904795097264779026'
    - '198.24724910312871457951189700999'
    - '198.774603709390875345563215580113'
    - '199.5627895486037789215672708989'
    prelabel: 1-571-571.163-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.6517128519657915
    root_angle: 0.14295688026655418
    root_number: 0.900832873013621137782595239853+0.434166022274918622673547190765*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '0.0714784401333'
      prec: 50
    spectral_label: r0-0
    st_group: mu(95)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.20024511985852077988663870593+0.0192586259997467030911195626627*I
    z1:
      __RealLiteral__: 0
      data: '1.70925987739'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '2.01929530789'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '3.39533236772'
      prec: 44
- - algebraic: true
    analytic_conductor: 2.6517128519657915
    bad_primes:
    - 571
    central_character: '571.163'
    conductor: 571
    conductor_radical: 571
    degree: 1
    id: 60049
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/571/163
    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: 1-571-571.163-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: 1-571-571.163-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 2.6517128519657915
    root_angle: 0.07147844013327709
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.70925987739'
      prec: 44
- - Lhash: dirichlet_L_571.163
    Lhash_array:
    - dirichlet_L_571.163
    id: 1841557
    label: 1-571-571.163-r0-0-0
    type: DIR
    url: Character/Dirichlet/571/163
label_cols:
- label
- label
- label
labels:
- 1-571-571.163-r0-0-0
- 1-571-571.163-r0-0-0
- 1-571-571.163-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T06:00:32.718801'