data:
- - Lhash: 824017027638932342642791027876,1487618145301975064296925291260
    a10: 0
    a2: 0
    a3: 0
    a4: 0
    a5: -2
    a6: 0
    a7: 0
    a8: 0
    a9: 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 167.334019432485
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
    - - 5
      - - 1
        - 2
        - 5
    bad_primes:
    - 2
    - 3
    - 5
    central_character: '1620.1'
    coefficient_field: 1.1.1.1
    conductor: 2624400
    conductor_radical: 30
    degree: 4
    euler_factors:
    - - 1
    - - 1
    - - 1
      - 2
      - 5
    - - 1
      - 0
      - -10
      - 0
      - 49
    - - 1
      - -2
      - 23
      - -22
      - 121
    - - 1
      - 0
      - -26
      - 0
      - 169
    - - 1
      - 0
      - -30
      - 0
      - 289
    - - 1
      - -6
      - 47
      - -114
      - 361
    - - 1
      - 0
      - -30
      - 0
      - 529
    - - 1
      - -6
      - 67
      - -174
      - 841
    - - 1
      - -2
      - 63
      - -62
      - 961
    - - 1
      - 0
      - 26
      - 0
      - 1369
    - - 1
      - -2
      - 83
      - -82
      - 1681
    - - 1
      - 0
      - 14
      - 0
      - 1849
    - - 1
      - 0
      - 6
      - 0
      - 2209
    - - 1
      - 0
      - -70
      - 0
      - 2809
    - - 1
      - -26
      - 287
      - -1534
      - 3481
    - - 1
      - 20
      - 222
      - 1220
      - 3721
    - - 1
      - 0
      - -70
      - 0
      - 4489
    - - 1
      - -18
      - 223
      - -1278
      - 5041
    - - 1
      - 0
      - 50
      - 0
      - 5329
    - - 1
      - 0
      - 158
      - 0
      - 6241
    - - 1
      - 0
      - -66
      - 0
      - 6889
    - - 1
      - 26
      - 347
      - 2314
      - 7921
    - - 1
      - 0
      - -94
      - 0
      - 9409
    - - 1
      - 2
      - 203
      - 202
      - 10201
    - - 1
      - 0
      - -190
      - 0
      - 10609
    - - 1
      - 0
      - -70
      - 0
      - 11449
    - - 1
      - -34
      - 507
      - -3706
      - 11881
    - - 1
      - 0
      - -190
      - 0
      - 12769
    euler_factors_factorization:
    - - 1
    - - 1
    - - - - 1
          - 2
          - 5
        - 1
    - - - - 1
          - 0
          - -10
          - 0
          - 49
        - 1
    - - - - 1
          - -1
          - 11
        - 2
    - - - - 1
          - 0
          - -13
        - 2
    - - - - 1
          - -8
          - 17
        - 1
      - - - 1
          - 8
          - 17
        - 1
    - - - - 1
          - -3
          - 19
        - 2
    - - - - 1
          - 0
          - -30
          - 0
          - 529
        - 1
    - - - - 1
          - -3
          - 29
        - 2
    - - - - 1
          - -1
          - 31
        - 2
    - - - - 1
          - 0
          - 26
          - 0
          - 1369
        - 1
    - - - - 1
          - -1
          - 41
        - 2
    - - - - 1
          - 0
          - 14
          - 0
          - 1849
        - 1
    - - - - 1
          - 0
          - 6
          - 0
          - 2209
        - 1
    - - - - 1
          - 0
          - -70
          - 0
          - 2809
        - 1
    - - - - 1
          - -13
          - 59
        - 2
    - - - - 1
          - 10
          - 61
        - 2
    - - - - 1
          - 0
          - -70
          - 0
          - 4489
        - 1
    - - - - 1
          - -9
          - 71
        - 2
    - - - - 1
          - 0
          - 50
          - 0
          - 5329
        - 1
    - - - - 1
          - 0
          - 79
        - 2
    - - - - 1
          - 0
          - -66
          - 0
          - 6889
        - 1
    - - - - 1
          - 13
          - 89
        - 2
    - - - - 1
          - 0
          - -94
          - 0
          - 9409
        - 1
    - - - - 1
          - 1
          - 101
        - 2
    - - - - 1
          - 0
          - -190
          - 0
          - 10609
        - 1
    - - - - 1
          - 0
          - -70
          - 0
          - 11449
        - 1
    - - - - 1
          - -17
          - 109
        - 2
    - - - - 1
          - 0
          - -190
          - 0
          - 12769
        - 1
    gamma_factors:
    - []
    - - 0
      - 0
    group: GL2
    id: 23257569
    index: 7
    label: 4-1620e2-1.1-c1e2-0-7
    leading_term: '2.08411411150895714561027422567863161630007394023541576621792851555723157551314323897278919'
    load_key: CMFs-workshop
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/1620/2/d/a
    plot_delta:
      __RealLiteral__: 0
      data: '0.029296875'
      prec: 37
    plot_values:
    - 2.084114111508957
    - 2.07810579528133
    - 2.064919536583495
    - 2.0412481129338373
    - 2.0073304655068624
    - 1.9640637184546448
    - 1.911401361540013
    - 1.849163642217731
    - 1.7774512183137203
    - 1.696461206214827
    - 1.6063823940629118
    - 1.5074686240523592
    - 1.4000809218119525
    - 1.2846828975172297
    - 1.1618545363054693
    - 1.0322960709600704
    - 0.8968556914694547
    - 0.7565180066759538
    - 0.6124308934354826
    - 0.46588435896779595
    - 0.31833568213320185
    - 0.17137765548119036
    - 0.026757483033234403
    - -0.11366397632879548
    - -0.24790290123037487
    - -0.37390040504146976
    - -0.48952570763597814
    - -0.5926284745964948
    - -0.6810562718059046
    - -0.7527080113348112
    - -0.8055661516705112
    - -0.8377473586604197
    - -0.8475483166711829
    - -0.8334893656215723
    - -0.7943710594085226
    - -0.7293064809182148
    - -0.6377839618886172
    - -0.519684094133091
    - -0.375342479709287
    - -0.2055482128157632
    - -0.011599346350746515
    - 0.2047191547319606
    - 0.4410951796582879
    - 0.6947323679338172
    - 0.9623329825411596
    - 1.2401599223732023
    - 1.524049674766686
    - 1.8094894201483132
    - 2.0916652611436346
    - 2.3655480658811077
    - 2.625979565804811
    - 2.8677584632666187
    - 3.0857637011351318
    - 3.2750307237127605
    - 3.430907499257519
    - 3.5491099470008405
    - 3.625902483949769
    - 3.6581217573578857
    - 3.643370004031917
    - 3.579997528963229
    - 3.4672944537556676
    - 3.3054249241632045
    - 3.095601309838475
    - 2.839966837180213
    - 2.541736335332315
    - 2.2050286548249423
    - 1.834959852273562
    - 1.4374319957453885
    - 1.0191682790584884
    - 0.5874701237835647
    - 0.15018893435508732
    - -0.2845318173555552
    - -0.7083470479074144
    - -1.1129627014988068
    - -1.4902802288179506
    - -1.8326218113098196
    - -2.132913806968029
    - -2.3848628091397512
    - -2.583157164779157
    - -2.723575005360387
    - -2.8031789749656277
    - -2.8203427547612874
    - -2.7749127504511137
    - -2.6681471953290608
    - -2.5028202059045936
    - -2.2830766576482824
    - -2.0144588520664355
    - -1.7036900978796223
    - -1.3586119694423737
    - -0.9879187763505113
    - -0.6010033423971111
    - -0.20767210845611847
    - 0.18209154182712728
    - 0.5583970610249186
    - 0.9117459355803066
    - 1.2332508494130545
    - 1.5149682296341738
    - 1.7500345384278437
    - 1.9329968040601624
    - 2.059841304208251
    - 2.1282847190819187
    - 2.137681725854867
    - 2.0892422645664555
    - 1.98581845308514
    - 1.832021221348851
    - 1.633901899101818
    - 1.3989535190947877
    - 1.1357165335591384
    - 0.8536651085080377
    - 0.562777715956755
    - 0.2733248793357268
    - -0.0045479175191113835
    - -0.2610995228353103
    - -0.4873496723185284
    - -0.6753821011107444
    - -0.8185980967345107
    - -0.911993827765962
    - -0.9522804527316252
    - -0.9380863774351916
    - -0.8699305968030333
    - -0.7503081095361788
    - -0.5835233565436485
    - -0.3756312051606987
    - -0.13415794685883667
    - 0.13211048145788298
    - 0.4134744186369183
    - 0.6996715403033673
    - 0.9802314918287316
    - 1.2449315123895708
    - 1.4840965360061449
    - 1.6891073160045333
    - 1.8525866779299274
    - 1.968897639300971
    - 2.0341694539828743
    - 2.046721864906527
    - 2.0069052509629897
    - 1.917395816440726
    - 1.7828499286952064
    - 1.6100331621116344
    - 1.4073161834487355
    - 1.1846259933469103
    - 0.9528353400178287
    - 0.7235537410002364
    - 0.5084803390631414
    - 0.31908092849106645
    - 0.16598211110606081
    - 0.05860390392299728
    - 0.0046690535388128375
    - 0.009874640684684733
    - 0.07757429015241031
    - 0.20857349111951745
    - 0.4010159767568553
    - 0.6503750346376151
    - 0.9495421349316933
    - 1.289061267523204
    - 1.6573829673061409
    - 2.0413538327480776
    - 2.4265681009062705
    - 2.798084977910003
    - 3.1407883057302897
    - 3.4402663375497404
    - 3.6830821119082273
    - 3.857720227330707
    - 3.9546786249356014
    - 3.96737030807433
    - 3.8919711341861367
    - 3.7281649860065285
    - 3.4787189949993382
    - 3.1499794719669727
    - 2.751190420102653
    - 2.294682630398794
    - 1.7949963889830687
    - 1.2687526818305896
    - 0.7336790329514994
    - 0.20820259823262888
    - -0.28949789038869533
    - -0.7420905970865199
    - -1.1338845841583836
    - -1.45149883122029
    - -1.6843904696853826
    - -1.8254577757129602
    - -1.8712269830941743
    - -1.8222598058574042
    - -1.6829741427473968
    - -1.4617565376282062
    - -1.1704501199769188
    - -0.824121044258509
    - -0.4403025143048465
    - -0.03842416896935094
    - 0.36105574919344396
    - 0.7374878045010637
    - 1.0708562849889056
    - 1.3427612471210895
    - 1.5370486343920022
    - 1.640781965828312
    - 1.6445551150148103
    - 1.5432917196265488
    - 1.3361700789877415
    - 1.027109866515731
    - 0.6243051951990257
    - 0.14030570597277967
    - -0.4087760999942034
    - -1.0036161287427632
    - -1.622669851363738
    - -2.2429088114721765
    - -2.8408422016214825
    - -3.3935229902001383
    - -3.879419644107228
    - -4.279525733897291
    - -4.577921467420725
    - -4.762798019270472
    - -4.8265984094550936
    - -4.76677831476412
    - -4.585487807601883
    - -4.289933340084669
    - -3.8916436749102385
    - -3.4063663089398704
    - -2.853037914984536
    - -2.253230826629774
    - -1.6300060464482469
    - -1.0070066156317536
    - -0.40739828735985956
    - 0.147228637238165
    - 0.6376356753568405
    - 1.0480286965283563
    - 1.3664021267943582
    - 1.5854298895197196
    - 1.7023031600006793
    - 1.7192625217738389
    - 1.6429454625142907
    - 1.484472428860481
    - 1.2584095577877579
    - 0.9824095317874949
    - 0.6759660454203875
    - 0.35970013708067483
    - 0.05412141463981838
    - -0.22127578584685337
    - -0.449031691242178
    - -0.6146082223082674
    - -0.7070198223952435
    - -0.7194949144266128
    - -0.6496269474618904
    - -0.4996410731933847
    - -0.2760711609557995
    - 0.010462563268313567
    - 0.3459471453710378
    - 0.713687003512865
    - 1.0951861662556304
    - 1.4712475414831678
    - 1.82281842112615
    - 2.1323013227383614
    - 2.384139133723425
    - 2.5661160067810385
    - 2.6695060606009196
    - 2.690144111787838
    - 2.6280466444056954
    - 2.4880797028966337
    - 2.2790663565470926
    - 2.0139642019163055
    - 1.7085784270554663
    - 1.381267188697467
    - 1.0514617254240488
    - 0.7390225116732669
    - 0.4628098008045658
    - 0.2398945077315626
    - 0.0844141370099853
    - 0.006881626639463444
    - 0.013503219040815475
    - 0.10581612045776585
    - 0.28054752517755377
    - 0.5297487778902336
    - 0.8411581681958193
    - 1.1988972161488933
    - 1.5841885092675396
    - 1.9765595604579564
    - 2.3546850601419567
    - 2.6979310447848093
    - 2.9870571435786797
    - 3.2058535120497584
    - 3.3414618310244193
    - 3.3858284951509896
    - 3.335480029151214
    - 3.1925467931121867
    - 2.963943999707405
    - 2.661806347758409
    - 2.3021558048036557
    - 1.904712374156687
    - 1.4912460194643262
    - 1.0848662480878564
    - 0.7083317519445635
    - 0.3830417939224473
    - 0.1275949516645444
    - -0.04321889713635935
    - -0.11936600616695746
    - -0.09626468855617437
    - 0.024902710462179643
    - 0.23706161616170598
    - 0.5275718304150995
    - 0.8788078812496388
    - 1.268983179052746
    - 1.673428943137934
    - 2.0656573806292644
    - 2.4191744013571146
    - 2.7084600795339355
    - 2.911025577862136
    - 3.007996801403656
    - 2.98605985154705
    - 2.837413600476535
    - 2.5612572106523066
    - 2.1630144394898525
    - 1.655101676926343
    - 1.0554926841261185
    - 0.387649662815151
    - -0.3213442977799575
    - -1.0416358008636324
    - -1.742558442270817
    - -2.3940460451258176
    - -2.9682928615554305
    - -3.4413929479689322
    - -3.7943558532641015
    - -4.014591981288159
    - -4.096053886767762
    - -4.040229478788502
    - -3.8553512426341463
    - -3.556679346377069
    - -3.1649113609466286
    - -2.7057101191022013
    - -2.207612907863173
    - -1.7009457568214759
    - -1.2156357806648137
    - -0.7798114247564989
    - -0.4179396467013987
    - -0.1495028114343434
    - 0.01219226947162128
    - 0.060869110520123615
    - -0.0023940185746468305
    - -0.16907682438827157
    - -0.4237569553068116
    - -0.7449216917145438
    - -1.1061731932308028
    - -1.477864069581454
    - -1.8286171175879136
    - -2.1275109677365682
    - -2.3454932284477144
    - -2.4576978024328278
    - -2.4443594845735976
    - -2.2927892778602263
    - -1.99752226834613
    - -1.5615268846572865
    - -0.9955091884428057
    - -0.3180781741600075
    - 0.4456552475530969
    - 1.2650230714840052
    - 2.1055797648615884
    - 2.9309929661598706
    - 3.7047585436168484
    - 4.3926761639441505
    - 4.964042295302716
    - 5.3942320530762675
    - 5.6650062173200055
    - 5.7667102505338335
    - 5.697513942306597
    - 5.464838365606152
    - 5.083577470395068
    - 4.576551472648475
    - 3.97198541388088
    - 3.3030195900134314
    - 2.604887557530749
    - 1.9137363169562491
    - 1.2640149441351145
    - 0.6870168938795054
    - 0.2089425094346738
    - -0.1503648634805604
    - -0.37837419145267714
    - -0.4705200831190253
    - -0.4300943222759626
    - -0.2680274420718116
    - -0.0018803238660419766
    - 0.34528930079311093
    - 0.7464652826523638
    - 1.1725384722407814
    - 1.5938879425737777
    - 1.9826162491924064
    - 2.313685912020094
    - 2.567075656143535
    - 2.7281014894537363
    - 2.789072188234872
    - 2.748629806075268
    - 2.612616892859823
    - 2.392514903168517
    - 2.1054429030632935
    - 1.77199389040196
    - 1.4155120128909249
    - 1.0597712115620288
    - 0.7278664857458477
    - 0.4402104908702762
    - 0.2134746550896868
    - 0.05928970371183498
    - -0.01634281145797864
    - -0.013447686942881882
    - 0.06209813990203714
    - 0.19903168903761811
    - 0.3817239373366394
    - 0.5912443067872147
    - 0.8070737806755758
    - 1.008347550972063
    - 1.1759087338516532
    - 1.293265371110841
    - 1.3485230641831345
    - 1.3346732492945654
    - 1.250956812976477
    - 1.1022855475380908
    - 0.8997259934366117
    - 0.6590972171587823
    - 0.4004924116421959
    - 0.14632966003586478
    - -0.07990955337263428
    - -0.2557375030392307
    - -0.36129951597372156
    - -0.3810545956273728
    - -0.3052586859501181
    - -0.1308718132403112
    - 0.13764076426810612
    - 0.4883708915660158
    - 0.9022262675358742
    - 1.3538945237242115
    - 1.813283452882925
    - 2.2470619945290866
    - 2.621101738401345
    - 2.9020897711247984
    - 3.0605206725254726
    - 3.071825270570468
    - 2.9192945810090856
    - 2.5942668040072943
    - 2.09834720805581
    - 1.4424240094184093
    - 0.6476911977878872
    - -0.25643238470896457
    - -1.2326980075443668
    - -2.238828421658591
    - -3.2292154899297385
    - -4.157845089972718
    - -4.980867006685365
    - -5.658969013981278
    - -6.160175140031902
    - -6.4610867994854715
    - -6.549210860121876
    - -6.422730739987941
    - -6.091787069850299
    - -5.576782202729159
    - -4.908305622747054
    - -4.124327208750095
    - -3.26880975358652
    - -2.388419837352831
    - -1.530211360449912
    - -0.7386059919345674
    - -0.05277556076264097
    - 0.49541819550111155
    - 0.8836331074438828
    - 1.0996931200618059
    - 1.1427847502988768
    - 1.0225864772998008
    - 0.7591122255966729
    - 0.380598128208409
    - -0.07798950205921916
    - -0.5777276712113004
    - -1.078190429952052
    - -1.5401429160022835
    - -1.9283222612682431
    - -2.2133476125196867
    - -2.374099050019001
    - -2.3983586159344688
    - -2.2841564380968524
    - -2.039005018224898
    - -1.679848737037587
    - -1.2311373062243638
    - -0.7233804027003472
    - -0.19062451205357564
    - 0.33201890676981566
    - 0.8107612030102862
    - 1.215997770224871
    - 1.5238569131046644
    - 1.7187165585465172
    - 1.793428545666497
    - 1.7508599918219903
    - 1.602656675411507
    - 1.3694554362322362
    - 1.0784369861205418
    - 0.7622333317511545
    - 0.4558392911335363
    - 0.1946148837299944
    - 0.011288421098556984
    - -0.06627491818188881
    - -0.01728289990652979
    - 0.1702803997999502
    - 0.4986977201694726
    - 0.9599895201735779
    - 1.5363154013110152
    - 2.20096345992688
    - 2.919831773331765
    - 3.6539152282274983
    - 4.361231407017106
    - 5.000267551161722
    - 5.531775969823622
    - 5.922871884072086
    - 6.147268204026435
    - 6.187751784606092
    - 6.037401665461433
    - 5.704883844916153
    - 5.205366177384695
    - 4.551668604269569
    - 3.7753020591534607
    positive_zeros:
    - '0.65003481834077567201944889585487'
    - '1.17352379672611871956514233765983'
    - '2.06085513851116566833499558607872'
    - '2.68154440202702238267960927532598'
    - '3.25145784805764919485272193723211'
    - '3.61855226745933147483145720660814'
    - '4.31476067243051768989509818280510'
    - '4.32295660090599444010286213009929'
    - '5.10965468354132988261159119785664'
    - '5.51059894091704824499375695885040'
    - '5.86716026524831793682116781716208'
    - '6.49583072588978968921695620220483'
    - '6.89022073050100050132739702632597'
    - '7.14745750364661776362062473861558'
    - '7.80141195827052797798254659886934'
    - '7.80934416010358008910074318894671'
    - '8.545600757907975704833084053318735'
    - '8.638053333556294759308635496698615'
    - '9.156776869237081681227048108457177'
    - '9.752663051235749526247372434374780'
    prelabel: 4-1620e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.596632470443349
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1e2-0
    trace_hash: 373170168199359213
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '0.65003481834077567201944889585'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.17352379672611871956514233766'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '2.06085513851116566833499558608'
      prec: 103
- - algebraic: true
    analytic_conductor: 167.334019432485
    bad_primes:
    - 2
    - 3
    - 5
    central_character: '1.1'
    conductor: 2624400
    conductor_radical: 30
    degree: 4
    dirichlet_coefficients:
    - 1
    - 0
    - 0
    - 0
    - -2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 6
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1
    - 0
    - 0
    - 0
    - 6
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 10
    - 0
    - 0
    - 0
    - 0
    - 0
    - -4
    - 0
    - 0
    - 0
    - 26
    - 0
    - -20
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 18
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - -26
    - 0
    - 0
    - 0
    - 0
    - 0
    - -12
    - 0
    - 0
    - 0
    - 0
    - 0
    euler11:
    - 1
    - -2
    - 23
    - -22
    - 121
    euler13:
    - 1
    - 0
    - -26
    - 0
    - 169
    euler17:
    - 1
    - 0
    - -30
    - 0
    - 289
    euler19:
    - 1
    - -6
    - 47
    - -114
    - 361
    euler2:
    - 1
    - 0
    - 0
    - 0
    - 0
    euler23:
    - 1
    - 0
    - -30
    - 0
    - 529
    euler29:
    - 1
    - -6
    - 67
    - -174
    - 841
    euler3:
    - 1
    - 0
    - 0
    - 0
    - 0
    euler31:
    - 1
    - -2
    - 63
    - -62
    - 961
    euler37:
    - 1
    - 0
    - 26
    - 0
    - 1369
    euler41:
    - 1
    - -2
    - 83
    - -82
    - 1681
    euler43:
    - 1
    - 0
    - 14
    - 0
    - 1849
    euler47:
    - 1
    - 0
    - 6
    - 0
    - 2209
    euler5:
    - 1
    - 2
    - 5
    - 0
    - 0
    euler53:
    - 1
    - 0
    - -70
    - 0
    - 2809
    euler59:
    - 1
    - -26
    - 287
    - -1534
    - 3481
    euler61:
    - 1
    - 20
    - 222
    - 1220
    - 3721
    euler67:
    - 1
    - 0
    - -70
    - 0
    - 4489
    euler7:
    - 1
    - 0
    - -10
    - 0
    - 49
    euler71:
    - 1
    - -18
    - 223
    - -1278
    - 5041
    euler73:
    - 1
    - 0
    - 50
    - 0
    - 5329
    euler79:
    - 1
    - 0
    - 158
    - 0
    - 6241
    euler83:
    - 1
    - 0
    - -66
    - 0
    - 6889
    euler89:
    - 1
    - 26
    - 347
    - 2314
    - 7921
    euler97:
    - 1
    - 0
    - -94
    - 0
    - 9409
    euler_factors:
    - - 1
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 0
      - 0
      - 0
      - 0
    - - 1
      - 2
      - 5
      - 0
      - 0
    - - 1
      - 0
      - -10
      - 0
      - 49
    - - 1
      - -2
      - 23
      - -22
      - 121
    - - 1
      - 0
      - -26
      - 0
      - 169
    - - 1
      - 0
      - -30
      - 0
      - 289
    - - 1
      - -6
      - 47
      - -114
      - 361
    - - 1
      - 0
      - -30
      - 0
      - 529
    - - 1
      - -6
      - 67
      - -174
      - 841
    - - 1
      - -2
      - 63
      - -62
      - 961
    - - 1
      - 0
      - 26
      - 0
      - 1369
    - - 1
      - -2
      - 83
      - -82
      - 1681
    - - 1
      - 0
      - 14
      - 0
      - 1849
    - - 1
      - 0
      - 6
      - 0
      - 2209
    - - 1
      - 0
      - -70
      - 0
      - 2809
    - - 1
      - -26
      - 287
      - -1534
      - 3481
    - - 1
      - 20
      - 222
      - 1220
      - 3721
    - - 1
      - 0
      - -70
      - 0
      - 4489
    - - 1
      - -18
      - 223
      - -1278
      - 5041
    - - 1
      - 0
      - 50
      - 0
      - 5329
    - - 1
      - 0
      - 158
      - 0
      - 6241
    - - 1
      - 0
      - -66
      - 0
      - 6889
    - - 1
      - 26
      - 347
      - 2314
      - 7921
    - - 1
      - 0
      - -94
      - 0
      - 9409
    id: 23257569
    index: 7
    instance_types:
    - CMF
    instance_urls:
    - ModularForm/GL2/Q/holomorphic/1620/2/d/a
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: true
    is_instance_DIR: false
    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: 4-1620e2-1.1-c1e2-0-7
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    - 1
    order_of_vanishing: 0
    prelabel: 4-1620e2-1.1-c1e2-0
    primitive: false
    rational: true
    root_analytic_conductor: 3.596632470443349
    root_angle: 0.0
    self_dual: true
    spectral_label: c1e2-0
    trace_hash: 373170168199359213
    z1:
      __RealLiteral__: 0
      data: '0.65003481834077567201944889585'
      prec: 103
- - Lhash: 824017027638932342642791027876,1487618145301975064296925291260
    Lhash_array:
    - '824017027638932342642791027876'
    - '1487618145301975064296925291260'
    id: 23620474
    label: 4-1620e2-1.1-c1e2-0-7
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/1620/2/d/a
label_cols:
- label
- label
- label
labels:
- 4-1620e2-1.1-c1e2-0-7
- 4-1620e2-1.1-c1e2-0-7
- 4-1620e2-1.1-c1e2-0-7
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T07:00:18.978989'