data:
- - Lhash: dirichlet_L_1441.1121
    a10:
    - 0.30901699437494745
    - -0.9510565162951535
    a2:
    - -0.8090169943749475
    - 0.5877852522924731
    a3:
    - 0.30901699437494745
    - -0.9510565162951535
    a4:
    - 0.30901699437494745
    - -0.9510565162951535
    a5:
    - -0.8090169943749475
    - 0.5877852522924731
    a6:
    - 0.30901699437494745
    - 0.9510565162951535
    a7:
    - 0.8090169943749475
    - -0.5877852522924731
    a8:
    - 0.30901699437494745
    - 0.9510565162951535
    a9:
    - -0.8090169943749475
    - -0.5877852522924731
    algebraic: true
    analytic_conductor: 6.691975866344493
    analytic_normalization: 0
    bad_lfactors:
    - - 11
      - - 1
    - - 131
      - - 1
    bad_primes:
    - 11
    - 131
    central_character: '1441.1121'
    coeff_info:
    - x^10 - 1
    - 0.809016994374947 + 0.587785252292473*I
    - \\zeta_{10}
    conductor: 1441
    conductor_radical: 1441
    conjugate: dirichlet_L_1441.725
    degree: 1
    dirichlet_coefficients:
    - a^0
    - a^4
    - a^8
    - a^8
    - a^4
    - a^2
    - a^9
    - a^2
    - a^6
    - a^8
    - 0
    - a^6
    - a^7
    - a^3
    - a^2
    - a^6
    - a^2
    - a^0
    - a^0
    - a^2
    - a^7
    - 0
    - a^7
    - a^0
    - a^8
    - a^1
    - a^4
    - a^7
    - a^4
    - a^6
    - a^1
    - a^0
    - 0
    - a^6
    - a^3
    - a^4
    - a^9
    - a^4
    - a^5
    - a^6
    - a^9
    - a^1
    - a^1
    - 0
    - a^0
    - a^1
    - a^5
    - a^4
    - a^8
    - a^2
    - a^0
    - a^5
    - a^4
    - a^8
    - 0
    - a^1
    - a^8
    - a^8
    - a^8
    - a^0
    - a^7
    - a^5
    - a^5
    - a^4
    - a^1
    - 0
    - a^9
    - a^0
    - a^5
    - a^7
    - a^5
    - a^8
    - a^8
    - a^3
    - a^6
    - a^8
    - 0
    - a^9
    - a^0
    - a^0
    - a^2
    - a^3
    - a^4
    - a^5
    - a^6
    - a^5
    - a^2
    - 0
    - a^6
    - a^4
    - a^6
    - a^5
    - a^9
    - a^9
    - a^4
    - a^8
    - a^1
    - a^2
    - 0
    - a^6
    euler_factors:
    - - 1
      - a^4
    - - 1
      - a^8
    - - 1
      - a^4
    - - 1
      - a^9
    - - 0
    - - 1
      - a^7
    - - 1
      - a^2
    - - 1
      - a^0
    - - 1
      - a^7
    - - 1
      - a^4
    - - 1
      - a^1
    - - 1
      - a^9
    - - 1
      - a^9
    - - 1
      - a^1
    - - 1
      - a^5
    - - 1
      - a^4
    - - 1
      - a^8
    - - 1
      - a^7
    - - 1
      - a^9
    - - 1
      - a^5
    - - 1
      - a^8
    - - 1
      - a^0
    - - 1
      - a^4
    - - 1
      - a^6
    - - 1
      - a^1
    - - 1
      - a^1
    gamma_factors:
    - - 0
    - []
    id: 383408
    index: 0
    label: 1-1441-1441.1121-r0-0-0
    leading_term: 0.637616395500683762680979074749-0.643968479817146210047578981705*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/1441/1121
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 0.9062284870877161
    - 0.43129035322974074
    - -0.26921182754677486
    - -0.8421150918224951
    - -0.5910127437976128
    - 0.61740097402349
    - 1.8947343237264038
    - 1.8902137174012796
    - 0.08534358517833424
    - -2.332978239312742
    - -3.114242855752082
    - -0.8986922667959165
    - 3.197804417735999
    - 6.103845440465611
    - 5.330169656604012
    - 1.3094587647479168
    - -2.823278855607899
    - -4.016497485238448
    - -2.0157147460061307
    - 0.6944553618815537
    - 1.5833065192925535
    - 0.4869405236879563
    - -0.7634121286998387
    - -0.7788167390015616
    - -0.08223656180627305
    - 0.04860125111028139
    - -0.378123141921851
    - -0.023750925325988898
    - 1.653815316354833
    - 3.051309695444845
    - 2.068982691280929
    - -1.0228611297828032
    - -3.3545967656527096
    - -2.683867462709788
    - -0.2497164358264554
    - 0.6134123517957354
    - -1.2764303003806252
    - -3.2301673513709064
    - -2.0475084011795097
    - 1.5804628055367647
    - 3.4386450965183717
    - 0.8624388054952753
    - -3.7858138051729817
    - -5.803026369664261
    - -3.704827377820322
    - -0.6135145508334188
    - 0.10409465033428766
    - -0.9965646183312251
    - -0.8989765147586217
    - 1.1674661098793295
    - 2.5133125930640814
    - 0.9141596258298532
    - -2.0071376077309746
    - -2.818205808731997
    - -0.8536333106600646
    - 1.1286648699377329
    - 0.9523043000020734
    - -0.21960059444519842
    - -0.17246157707261328
    - 0.8307119887987017
    - 0.7399428733974011
    - -0.6650364454416439
    - -1.237371276234457
    - -0.1236290898762046
    - 0.3725359718980835
    - -1.4882310364376814
    - -2.8283677695186795
    - 1.0899233131702697
    - 9.75592659271234
    - 16.00288360793302
    - 13.693267833657979
    - 5.155435084631108
    - -1.5293970467033335
    - -1.9631496019595616
    - 0.6546110836061678
    - 1.3312264502253353
    - -0.1875039605354096
    - -0.8089866398158728
    - 0.21948807746201054
    - 0.4794891846195177
    - -1.0705111187551506
    - -2.122624990176264
    - -0.830777604839837
    - 1.0626587030363701
    - 1.0511077762497567
    - -0.03716913016716589
    - 0.43273876532117694
    - 2.203947937369097
    - 2.284119322160679
    - 0.1283362654026193
    - -0.7398652446619814
    - 1.9464785592426537
    - 5.072234550786016
    - 4.299664268559011
    - 0.6009007945322332
    - -1.1023390495495302
    - 0.6258906261604124
    - 1.8504565827966162
    - -0.004477504926106442
    - -1.6185716493796591
    - 0.9331830665152335
    - 5.2447938287157125
    - 5.425559922402725
    - 0.9488635621399732
    - -2.1467317615427066
    - 0.1208815238122798
    - 4.1724110390137055
    - 4.492838989567711
    - 1.3808040598644258
    - -0.6101837218249734
    - 0.09241178142515702
    - 0.7927639956576076
    - -0.0328674024170383
    - -0.4715948451317593
    - 0.6609783868425221
    - 1.340583756168087
    - 0.07506335965400406
    - -1.1391156919001135
    - -0.3480820857840193
    - 0.6370452752731092
    - -0.39571854465430184
    - -1.1505378452187918
    - 2.0481097247543727
    - 7.097201976862769
    - 7.565709553783985
    - 2.382718565776701
    - -1.312286794979038
    - 1.9439932064540373
    - 7.686042656132049
    - 7.813550858093459
    - 2.142692581434079
    - -2.0670199219183303
    - -1.0037543129187547
    - 1.4193962812313277
    - 1.0470082935035836
    - -0.5807788740920188
    - -0.5007044722529472
    - 0.2386628888619958
    - -0.584631437635215
    - -1.5343589612580761
    - -0.1915621874149252
    - 1.5480044438785496
    - -0.08807116352124197
    - -4.00898815529218
    - -5.133982685750887
    - -2.1398521418185035
    - 0.7182149077171353
    - 0.5687903660436114
    - -0.30902650108633734
    - 0.3024140660754275
    - 0.5642171739115681
    - -0.8988765641473905
    - -1.0817103896365856
    - 2.06882595594942
    - 4.1074459500374365
    - -0.04343905178695711
    - -6.8689350352791685
    - -7.846855261418547
    - -1.9242204989205114
    - 2.7695933025350006
    - 1.172281457668322
    - -1.8235512599134909
    - -0.24268821856925746
    - 3.4872231827677913
    - 3.393419351541402
    - -0.17236614190977598
    - -1.977299331067166
    - -0.7200921086138928
    - 0.11216383942311758
    - -0.7838300949979122
    - -0.9223811472297824
    - 0.44073576690131033
    - 0.9076688324062966
    - -0.07962066529525712
    - -0.2255529477772959
    - 0.46356514264653126
    - -0.9562243532167481
    - -4.018394983256278
    - -3.757130710234729
    - 0.9891862554168728
    - 4.068588138375476
    - 1.3061747385605844
    - -2.130886844639041
    - 0.2878577727245587
    - 5.545640029523086
    - 5.655894882026974
    - 0.40718379458297316
    - -2.8064023739847253
    - -1.0694153271143825
    - 0.6966392975542406
    - -0.5165333249582871
    - -1.0664402119066785
    - 1.4144833664685867
    - 2.89203108591439
    - 0.15541020104712747
    - -3.0543242638982866
    - -2.3350343736107093
    - 0.042534559968368434
    - -0.30539788616203
    - -2.212554565948236
    - -1.8736763900115987
    - -0.04124589507338885
    - -0.0032561880087873057
    - -0.9243464734595246
    - 0.33125118061361436
    - 2.5933443313008517
    - 2.1645528854040563
    - -0.14526722524160945
    - -0.4767773885077773
    - 0.6338690314869917
    - -0.5002502901260787
    - -2.716522648847282
    - -1.5925489999130027
    - 0.5144495836525047
    - -4.440753899085904
    - -16.20332949553468
    - -22.748128748274826
    - -16.125427731998233
    - -3.8426886363928427
    - 2.096215987606873
    - 0.7439424595265074
    - -0.7211866933938166
    - 0.1998644407467502
    - 0.30985459318154523
    - -0.9210389735747432
    - -0.7790456228535736
    - 0.37186787592868564
    - -0.21604838249762812
    - -1.6331602918464472
    - -0.7967990108927502
    - 1.138781140720639
    - 0.6716242937195885
    - -0.9235673263424126
    - 0.4172421544628525
    - 3.387724357692364
    - 2.9296769423014313
    - -0.4224887283254621
    - -1.1379515770832764
    - 1.153491303642684
    - 1.0390153720775464
    - -1.9787388610589733
    - -1.7021195369671165
    - 3.2305748632394278
    - 5.68131971573399
    - 2.043072632120191
    - -1.3090551736784672
    - 0.9131077020983124
    - 4.027046383104589
    - 2.2783931706036773
    - -1.148090180501176
    - -0.7821204800249809
    - 1.0977343722781228
    - -0.4365124781785654
    - -3.1877900546916
    - -1.9737557204495744
    - 1.5259918656423925
    - 1.7402373335687766
    - -1.0121148711517685
    - -1.9271327980907094
    - -0.45463906898980794
    - 0.09593917302281059
    - -0.5149717212346627
    - -0.19688135799742756
    - 0.1394964831541831
    - -1.0119435236068772
    - -0.9504969822002991
    - 2.307368773719298
    - 3.9593732682805616
    - -0.22034798170376224
    - -4.252523483794766
    - 0.1269802978525583
    - 8.839642484242756
    - 10.278699764801598
    - 3.3381218925433105
    - -1.575817769234484
    - 0.2528814989567685
    - 2.177936491580382
    - -0.20733544142172516
    - -1.9836852718033093
    - 0.5880790158539875
    - 3.2059011658311958
    - 2.040087762179295
    - 0.037491480493573766
    - 0.10848545315296615
    - 0.17342032707814015
    - -0.9085075653633226
    - -0.34640644691994493
    - 1.9481683798172975
    - 1.6072799988568995
    - -1.8826089245525113
    - -3.1656715955817036
    - -0.5779567403020793
    - 0.7049781116788565
    - -1.5882101873522356
    - -2.7782158989289027
    - -0.5247552282113117
    - 0.9954275542700795
    - 0.030618888587177113
    - 0.7972678311690703
    - 3.9151349685242884
    - 3.4566902348937436
    - -1.592888562100457
    - -3.5650943159078388
    - 0.3866653797998767
    - 1.9373443372396941
    - -4.116646273728434
    - -9.881439684782817
    - -7.201002489949931
    - -0.8159648946211931
    - 0.6175967013437118
    - -1.7601131662778455
    - -1.8459126103643457
    - 0.06724997403315988
    - 0.12074855968214498
    - -0.855597468060507
    - -0.3013507730793021
    - 0.16823212470135618
    - -1.128047162814305
    - -1.4488926378449027
    - 0.727205527596694
    - 1.7493060774185163
    - -0.2289586195501431
    - -1.3991636686038105
    - -0.1672977969107417
    - -0.4470106093400345
    - -2.3491502913740785
    - 0.3202104403765786
    - 7.44904072019611
    - 8.69661353790596
    - -0.2836779225847557
    - -8.782938474734124
    - -6.986631433460027
    - -0.44248983750518545
    - 0.972015201975781
    - -1.4833577292281768
    - -1.3489188913849142
    - 0.5673709417776374
    - 0.24336975479196865
    - -0.6124636439402029
    - 0.5962568907013265
    - 0.5744869889843432
    - -3.077277589869053
    - -5.379737493378714
    - -2.3208464322815323
    - 1.543879942215681
    - 1.2290033737308745
    - -0.4830142464775513
    - 0.15912320651417733
    - 0.8051925569674243
    - -0.7612688263145905
    - -1.3909677411426413
    - 0.554187619374861
    - 1.3815010369815055
    - -0.049686711686178116
    - 0.2441819465268049
    - 2.169916411515727
    - 0.39297175240876053
    - -4.015764104722853
    - -3.0303854269709483
    - 3.1087573992805564
    - 3.702105584708711
    - -4.135275721412532
    - -9.162376011737685
    - -4.470481672755904
    - 1.7233436957782011
    - 1.1994831132034531
    - -1.6759045946508693
    - -0.6254363769826646
    - 1.4238524705855662
    - 0.16602026728338878
    - -1.6381154147599415
    - -0.8482150568477342
    - 0.07533517375537348
    - -0.7022073675293764
    - -0.7907244338888582
    - 0.2604393233167176
    - -0.10209452709012937
    - -0.7736509720219648
    - 1.343579306570865
    - 3.1845905185576493
    - -0.34022578907269885
    - -5.303024942526289
    - -3.726800513808465
    - 2.211916594698664
    - 3.6883040871511756
    - 0.570100330504449
    - -0.32503211037704405
    - 0.5456195013796705
    - -2.4129009072007253
    - -6.3057366645445345
    - -3.4874995283550048
    - 3.3081398897830736
    - 4.5454558587162825
    - 0.3671659375505751
    - -1.0087723997050388
    - 1.247729940170531
    - 1.0310969098265526
    - -1.5199140881999038
    - -1.1129228565425653
    - 1.1977394318963785
    - 0.3812029564317254
    - -1.9546370159194806
    - -0.9807013050778208
    - 1.37631205544686
    - 0.5273090603256612
    - -1.5964633713356633
    - -1.013291093111238
    - 0.4373622240311683
    - -0.03700602472503475
    - -0.33765637079304794
    - 0.6880966593961966
    - -0.025776235125875836
    - -1.8675053608062728
    - 0.0622227084363466
    - 3.3357306848451125
    - -0.7842469465123534
    - -10.19868334600116
    - -11.309894021346093
    - -1.1598238079266623
    - 6.191021573706827
    - 2.125002018928004
    - -4.189294653536108
    - -3.3226875267025333
    - 0.4952791997788183
    - 0.8151184383850132
    - -0.18595938836820053
    - 0.37517166081353553
    - -0.03227584048449923
    - -1.9931439886803304
    - -1.9096404062687227
    - -0.13617088475380162
    - -0.65164466449088
    - -2.174523053372695
    - -0.4384544771258465
    - 2.330773311636194
    - 1.2611704871103244
    - -1.2387746094707377
    - -0.3808648620285403
    - 1.2796102694644826
    - -0.1961683984635856
    - -1.344443024860006
    - 0.8847669212191983
    - 1.1708454284632868
    - -3.6899789112206056
    - -6.464047501565134
    - -2.200912441665253
    - 2.0322273814507525
    - 0.3282311411840466
    - -1.6700923675509092
    - 0.6095519346822508
    - 1.3614515291449132
    - -2.50486412600551
    - -3.2806313790883714
    - 2.8282895521816096
    - 7.08332852382562
    - 3.385149431899828
    - -1.6194121268405488
    - -1.4504137528033034
    - 0.3781141273993558
    - -0.15319574774435912
    - -0.7304766912200071
    - -0.03537010680841383
    - -0.5399857717514626
    - -1.7303292222459512
    - -0.900678003572589
    - 0.06698170025523369
    - -1.4246912763214008
    - -1.9678444645657407
    - 0.9491274763539669
    - 2.2531986670312123
    - -0.6335453532456601
    - -0.8488757512956605
    - 4.42549419934371
    - 5.89052692634941
    - -1.1769223359244998
    - -6.118557975672569
    - -0.9099145174893314
    - 5.590981400516597
    - 3.7399072150198123
    - -1.1760281262442347
    - -1.2233466771264425
    - 0.4632761633352363
    - -0.8357945137853058
    - -1.7354276641803774
    - 0.3694566606657035
    - 1.3397016750221864
    - -0.4077125059103795
    - -0.7802709499389544
    - 0.5510599799489229
    - -0.11135282003724682
    - -0.9302950293613574
    - 2.5726258980740133
    - 6.911115803765056
    - 5.648471359138749
    - 1.2543507786586825
    - -0.12892370972514294
    - 0.10035621960076731
    - -1.720313694541763
    - -2.88151374641849
    - -1.0424494893055483
    - -0.012980849997164671
    - -0.7533911594848302
    - 1.2349574911958774
    - 3.4246174300775185
    - -3.2273860929419427
    - -15.619755494687931
    - -18.373457819137705
    - -8.192123452093762
    - 0.4837698267807286
    - -0.5933184199355744
    - -3.2534335158635166
    - -1.2567844192265056
    - 0.39770337727431365
    - -1.0924044591207074
    - -1.1120084093613292
    - 1.0768782469167444
    - 0.8944480360351054
    - -1.1988098902083304
    - -0.9033580597855289
    - 0.7149855394414182
    - 0.35134838564901044
    - -0.2888689620729977
    - 0.5315658581747498
    - 0.10392400582570596
    - -1.380929160998615
    - 0.4683658078952163
    - 3.616995976727133
    - 1.0477482325788607
    - -4.53527096258746
    - -3.407538959659515
    - 2.7244294248828425
    - 2.9805316474409125
    - -2.2455324386675373
    - -2.4737558732061276
    - 2.5114788437709987
    - 3.2905462603096414
    - -0.4816256218124209
    - -1.1588071580025943
    - 0.7160183374580753
    - -0.8276539480482216
    - -3.518508520010603
    - -2.031587646514983
    - 0.3084321988675331
    - -0.9514149530431932
    - -1.3805069380697195
    - 2.7351299981888086
    - 5.650213674159998
    - 3.0854713492401613
    - 0.08125112272311925
    - 0.44616160390791637
    - 0.795499196644448
    - -0.30474427273046
    - 0.03698113989693273
    - 0.847067191101122
    - -0.7773603162757574
    - -1.6817722557584247
    - 1.3335581004304111
    - 3.429292713798456
    - 1.1140004203032947
    - -0.11196705972704325
    - 1.669620800542675
    - -1.5459745062435566
    - -10.628717022817206
    - -13.019548920424382
    - -4.608135799981429
    - 0.9987745986569102
    - -4.08620218362619
    - -9.092254852246839
    - -5.193304677264411
    - 0.5548943512889513
    - 0.7979468055013663
    - -0.7633036574743648
    - -0.2794373972964279
    - -0.02370036507270195
    - -0.39950603020558656
    - 0.7069281544694236
    - 1.3287114499906998
    - -0.35731279071941924
    - -0.3210780763354758
    - 3.0269131580341173
    - 3.811363169900827
    - 0.16246817762655644
    - -1.2826716352675553
    - 1.3824984674095542
    - 1.88809206561848
    - -0.5334043448226815
    - -0.04584595096226781
    - 2.048783612365486
    - -0.3257578322839022
    - -3.7320360923325637
    - -1.2201437439089198
    - 2.267411995244068
    - -1.2371634703047265
    - -6.137147903503165
    - -3.6219907600306933
    - 1.4274138796006441
    - 0.9793414574936496
    - -0.8069798650997434
    - 1.6789745500949622
    - 3.140831633387529
    - -0.7292894254628187
    - -3.5679352376259033
    - -1.224638387808959
    - 0.6482077527664565
    - -0.8919472298738417
    - -1.1491317644716301
    - 0.8559202370581227
    - 0.8053284988501218
    - -0.7982871710556032
    - -0.2738817316312619
    - 0.7409061453967253
    - -0.28670898308369164
    - -0.7626859845828353
    - 0.1457708953887647
    - -0.7497780480593573
    - -0.9833151546523992
    - 4.534697444726477
    - 8.840251709452692
    - 0.6457278578607769
    - -13.066490503366513
    - -14.455607594624148
    - -3.6731355733483966
    - 3.0425333386632287
    - 1.149978372760089
    - 0.08597216457235961
    - 2.1360712046984442
    - 1.5419421435906335
    - -0.4940581768397459
    - 0.8383033154233619
    - 2.533959861674008
    - 0.6497951105420776
    - -0.930997994074145
    - 0.5288413263621765
    - 0.7867928627032733
    - -1.2854178838143304
    - -1.20840037307949
    - 0.6161935679096529
    - 0.09354255845869164
    - -0.2617414794009898
    - 3.4237424542735377
    - 6.182458676882901
    positive_zeros:
    - '0.51355757356015184934153822588'
    - '1.424421281759182472829784917064'
    - '2.51083621374953457295095315532'
    - '3.51167500929862941615904560789'
    - '4.77509651432944974291142701503'
    - '5.844905873102684164628994546757'
    - '6.6634086673351387183830908483'
    - '7.55045653926556580201252118201'
    - '7.85550675976852486117077070901'
    - '8.44411331395764010137293874329'
    - '9.59195230266282311953612353906'
    - '10.663102812814610113698715956196'
    - '11.08067990372985607651175146979'
    - '12.056391733215122985408496683815'
    - '12.871377091479532782910602552982'
    - '14.17866721927458039550584604128'
    - '14.41723787836307839808712353605'
    - '15.15557232470950957807115424646'
    - '16.0324054354005307918465907112'
    - '16.98308324495111575705339176087'
    - '17.74039419916142472951403940770'
    - '18.18328431615350547781076223931'
    - '18.92472804673151525789474058406'
    - '19.71718309105473355885985281283'
    - '20.09965664227761587593027862587'
    - '20.88585222569957116481043136935'
    - '22.398774952350817516465637929311'
    - '23.0422855205320407513039604963'
    - '23.71363118627622614263342874064'
    - '24.31647006456628927522052862194'
    - '24.81265773381599354926158280658'
    - '25.74456000461876505030076603074'
    - '26.54544239624687400022868137317'
    - '26.760455016871815560288816367457'
    - '27.830784658437548105022812186420'
    - '28.25402167815991441025619632078'
    - '29.433322969605494956703466425275'
    - '29.91603984655577377825414407987'
    - '30.62447216476120021414671443372'
    - '31.179189963443203487690901206549'
    - '32.24976811825032194660611032710'
    - '32.80355780219267597283983673443'
    - '33.90813920970571770173135466417'
    - '34.35206514251915490767347049448'
    - '34.990519410018289480697351736176'
    - '35.47600833620822367779720924722'
    - '36.26325721295983823131761757319'
    - '36.950351903414986218202321238768'
    - '37.42360578361717459855190151834'
    - '37.9777908134787047959971418821'
    - '39.20451141530378604309960895693'
    - '39.57177590935644262006700764477'
    - '40.74238897749806216151291511682'
    - '41.35950507775647497797921557024'
    - '42.05675125362278704939038688252'
    - '42.6641581291205499167412435043'
    - '42.978803584242145371676375762752'
    - '43.77629023644700822520388346773'
    - '44.3670902342294741222036333653'
    - '45.512019397972531830139721535554'
    - '46.091472849986028163720853827753'
    - '46.46384456296776959345664444486'
    - '47.02011171062417127689967948563'
    - '47.636307651302609861186117339964'
    - '48.435526678684482459407642989107'
    - '49.467252164588272592970500425221'
    - '50.09730578022116160007764906104'
    - '50.64482052960612938792323914330'
    - '51.54723533379504863722787032281'
    - '52.3609830131747846651173350445'
    - '52.57156996909106080459482599363'
    - '53.34341452752982223867398439736'
    - '54.03717709406248426250972131964'
    - '54.46328373524786356517780537184'
    - '54.871625269812909133770716321247'
    - '55.87959220983898123648735292570'
    - '56.652145706323377463914879315229'
    - '57.16989009644566413668602303917'
    - '58.14861360678467503471032265533'
    - '58.87992117025230889907037363286'
    - '59.28465226154851228566757729254'
    - '59.85115041572375429083288521730'
    - '60.637034507377425291410581712796'
    - '61.55335342809949735302894721531'
    - '61.81664278735758827536243759613'
    - '62.822887059050549078007609874468'
    - '63.1240007037523220673335748027'
    - '63.70517330303256689077530724385'
    - '64.66333453237337310944253457734'
    - '65.11981013932179450566376336050'
    - '65.55542553870975081208056764145'
    - '66.42497903771540808602705459884'
    - '66.66046602344607594522773943709'
    - '68.26553966008157066019075315947'
    - '68.84842479401235461384482179655'
    - '69.32075034248081589494449032459'
    - '69.77251476704026549698218184547'
    - '70.501545503731791858637811395856'
    - '70.89176354963192143291915850743'
    - '71.67652198731936752137178864685'
    - '72.297281713281513107821032049994'
    - '72.76619372673448908097174999182'
    - '73.70661798280244076479279652278'
    - '74.22508512029857399896827085027'
    - '74.8015641137596914155107485015'
    - '75.43704413013120040544322184213'
    - '76.388714668451994813600523995789'
    - '76.801075204014172811342059252734'
    - '77.68366076664019333779376734279'
    - '78.23026298757798398444077453631'
    - '78.70488751624739207475645216126'
    - '79.540913489195331323030986865103'
    - '80.200220681463799285145473734469'
    - '81.06048737204165870114746213910'
    - '81.30854410907680921630619662278'
    - '81.95734958091507886221205008679'
    - '82.251992607196122139270592987598'
    - '82.92828787694011752243956327575'
    - '83.7382885939613997487875457825'
    - '84.370279802505462049613022991363'
    - '85.46917893575788822472141391309'
    - '85.913999495931822072692145054705'
    - '86.54295145109741827049821824397'
    - '87.13744200680242589941557379506'
    - '88.13765234018736920383341826415'
    - '88.38247000706760682062165816355'
    - '88.809917572317056316817679646926'
    - '89.42578902614352598532774314056'
    - '90.1539023502812695972085798695'
    - '91.003626783092510834618261004127'
    - '91.38119475868107505069294142560'
    - '92.250059738731940506070165143576'
    - '92.8237026554693149117661917881'
    - '92.98793731827264992399835890409'
    - '93.96930454762644215744030231917'
    - '94.66150664182438933489160974512'
    - '95.13725357370716542138288735640'
    - '96.31209307016049953782670322789'
    - '96.65518735699139520400351159479'
    - '97.48525728636301330683779337452'
    - '97.84682363619415486534358529449'
    - '98.531453745779050993550924352508'
    - '98.818171631337558898548488150187'
    - '99.596999140357544268590782001823'
    - '100.28292334242561101773072386156'
    - '100.988979684978185509951306489477'
    - '101.1497254028305205877658236271'
    - '101.858042732365893692963398099748'
    - '102.80463216661259033731642163328'
    - '103.78011082050145335382940416051'
    - '104.1905550327566720719178461974'
    - '104.88697067237268320220875639'
    - '105.36841718230276082489260876945'
    - '105.819750087658925320441945047972'
    - '106.31984313824838160350022939815'
    - '107.34562310528929389113062345823'
    - '108.00153003134589129304393446598'
    - '108.40144929155131585396178959892'
    - '108.9388917636255234325268440189'
    - '109.61049761481193831869524102360'
    - '110.300370380492470095148505872999'
    - '110.57921832221159090788807150130'
    - '111.27802986717122342358190443718'
    - '112.031674875835391922789578080714'
    - '112.66802142963541682227006199269'
    - '113.6329293409625154441086243974'
    - '114.17131260718521447834430625046'
    - '114.75965660697993184009309066078'
    - '115.333818549600126270874878023170'
    - '116.158512509390215573462625693181'
    - '116.32285108979843197038986474160'
    - '117.09626772537435196657616905678'
    - '117.47187106695530800214918339658'
    - '117.97657217289818739080818430989'
    - '118.731351712614678471141574108'
    - '119.56589478794934216500239284329'
    - '120.38392332334757182602251622560'
    - '120.7090168248876690871181452539'
    - '121.054149483137593635135821058783'
    - '122.02844744436454760059728614136'
    - '122.84306095909461295156127909664'
    - '123.27504849006546521198849547517'
    - '123.87175572824168797982863609544'
    - '124.510017458456129025278095629390'
    - '125.045096312750383608133051643871'
    - '125.73535136824256567961964726552'
    - '126.31641281551211653459914226024'
    - '127.05573381997282267645026833744'
    - '127.48824762963359971470161094520'
    - '127.92462129634118355373844721152'
    - '128.433525783176715628715434138340'
    - '129.05761916055789848635614100263'
    - '129.65792044539712841600871364459'
    - '130.65687088019173023450854773417'
    - '131.336181445003280430401316740752'
    - '132.132541368378306593981612855122'
    - '132.70554311067503557279243420410'
    - '132.976958793684727865125879479141'
    - '133.43125283412799290751883792570'
    - '134.4265542716597243386502971148'
    - '134.52916933828364568962097932049'
    - '135.353597155094698292382999613820'
    - '136.069846248741426664716699144'
    - '136.61388127537483560230772179038'
    - '137.16157406651910559012952356812'
    - '137.7115336825810145084389112234'
    - '138.22472589730954394110940557'
    - '139.18309660540961385249206152498'
    - '139.71802358284587452839983346323'
    - '140.24963121104118985904161823713'
    - '140.757449094013677596688844268351'
    - '141.44016428011780119890204648395'
    - '142.36899012999266207697368604257'
    - '143.025889646712656071974763713281'
    - '143.39722009995309294048470933875'
    - '144.090035720032427966944098375020'
    - '144.1918431579212335725616654898'
    - '145.21150109236577774218082756727'
    - '145.35365562031492087081787987750'
    - '146.163758412374791588207927486458'
    - '146.81415646380268096625007756172'
    - '147.254412947251315051359040215116'
    - '148.08217327641216247156476534479'
    - '148.784098098046401955341110472561'
    - '149.59146153032351477305373349787'
    - '150.17838656482744194492963011482'
    - '150.49388471505132602681615826732'
    - '151.20389903062627377724199598612'
    - '151.808344252920246346186411354537'
    - '152.357661437033471956073503512578'
    - '152.79156990551151207997932157575'
    - '153.2574338402990429513021983797'
    - '154.549278292273786812897183911894'
    - '154.771984688321164399724306148712'
    - '155.03722611047524955076088737217'
    - '156.1641673078110709161895937629'
    - '156.239599215416267319982208594618'
    - '156.7515825869970948946689489389'
    - '157.40270717842059349876582095455'
    - '158.71383917945491489798157567177'
    - '159.01233845409987399337365256926'
    - '159.8399471761294540058100769967'
    - '160.12309562028275541767935712124'
    - '160.78213351286778173980343989606'
    - '161.37644224833516397153431005670'
    - '162.02719942636368357839219275172'
    - '162.59988262097776736443622394070'
    - '162.95125949470452111486950780'
    - '163.45710875225995547613061026939'
    - '164.02132728027636191122580983614'
    - '164.74220884245893631326050795688'
    - '165.48042842090350103652407048263'
    - '166.11453147057508598458379096982'
    - '166.72084206396767747289426100856'
    - '167.45664035455812140083407819056'
    - '167.981777005287966999395536537301'
    - '168.35112872019819650232806763523'
    - '169.29233746244070741813995805604'
    - '169.538477368149539363215272934714'
    - '170.13457461935386192765307268229'
    - '171.27430812051248538507856447622'
    - '171.42602419684842999875436634368'
    - '172.0936812334865190870119721910'
    - '172.490624680590757271304000810918'
    - '173.01643100415079348332455106211'
    - '173.6406417168162408095155675525'
    - '174.52124335375480499543325481075'
    - '174.71572885008154768859069941086'
    - '175.23892036337708192515471274395'
    - '176.433750540604386547646685982605'
    - '176.68408302036125907313151864334'
    - '177.76581449380198583091749157509'
    - '178.25244428786771635677621248427'
    - '178.87488669326499250393479894432'
    - '179.04511099308843293100496169839'
    - '179.537530397272633656117685385876'
    - '180.25332236067031390320796418024'
    - '180.66548790516778129130582787688'
    - '181.5761485391819048892313550347'
    - '182.044125586502725590118088498906'
    - '182.73461136527106833012040119802'
    - '183.13083438221129481092581044357'
    - '183.72660016637258258096669436144'
    - '184.45309012967182544604166948636'
    - '184.93493318822996944355385120039'
    - '185.823328299615084068623549603641'
    - '186.363414434480325077579439856043'
    - '186.716957794814241091036466982435'
    - '187.45373509243833507570400558255'
    - '188.253908265408242755381223618940'
    - '188.60754507827480729610071681865'
    - '189.24080276263556589179548417632'
    - '189.82810551587225207825958873116'
    - '190.3688617712092712320820150406'
    - '190.87517719983589273846167400405'
    - '191.490540981828354180849077848495'
    - '191.71541423271289513317285302258'
    - '192.27580648758869354539050126742'
    - '193.13925965726686042352438589447'
    - '194.1780411950196558608551964337'
    - '194.85089733396315078763292840858'
    - '194.976655205075708324735091332551'
    - '195.82405639484746917047954816047'
    - '196.14017677264508381147996882882'
    - '196.95158301812190233652917425462'
    - '197.41171018089574479409815844168'
    - '197.93866504974411592215299638129'
    - '198.62395990991886915799376511603'
    - '199.08232744610497406288432265880'
    - '199.415691201030798037135576263639'
    prelabel: 1-1441-1441.1121-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.691975866344493
    root_angle: -0.4968446651986302
    root_number: 0.00991261428897008562431011727526-0.999950868832043220643276094530*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.251577667401'
      prec: 50
    spectral_label: r0-0
    st_group: mu(10)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 0.732413385874622653356938330208-0.161818253557478867777542751401*I
    z1:
      __RealLiteral__: 0
      data: '0.51355757356'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '1.42442128176'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '2.51083621375'
      prec: 44
- - algebraic: true
    analytic_conductor: 6.691975866344493
    bad_primes:
    - 11
    - 131
    central_character: '1441.1121'
    conductor: 1441
    conductor_radical: 1441
    degree: 1
    id: 383408
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/1441/1121
    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: 1-1441-1441.1121-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: 1-1441-1441.1121-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 6.691975866344493
    root_angle: -0.2484223325993151
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '0.51355757356'
      prec: 44
- - Lhash: dirichlet_L_1441.1121
    Lhash_array:
    - dirichlet_L_1441.1121
    id: 2105074
    label: 1-1441-1441.1121-r0-0-0
    type: DIR
    url: Character/Dirichlet/1441/1121
label_cols:
- label
- label
- label
labels:
- 1-1441-1441.1121-r0-0-0
- 1-1441-1441.1121-r0-0-0
- 1-1441-1441.1121-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T07:28:35.659211'