data:
- - Lhash: dirichlet_L_100.3
    a10:
    - 1.0
    - -2.8163065144692913e-30
    a2:
    - 1.0
    - -2.8163065144692913e-30
    a3:
    - 0.9510565162951535
    - -0.30901699437494745
    a4:
    - 1.0
    - -2.8163065144692913e-30
    a5:
    - 1.0
    - -2.8163065144692913e-30
    a6:
    - 1.0
    - -2.8163065144692913e-30
    a7:
    - -5.8869658587496495e-30
    - 1.0
    a8:
    - 1.0
    - -2.8163065144692913e-30
    a9:
    - 0.8090169943749475
    - -0.5877852522924731
    algebraic: true
    analytic_conductor: 0.4643980476297358
    analytic_normalization: 0
    bad_lfactors:
    - - 2
      - - 1
    - - 5
      - - 1
    bad_primes:
    - 2
    - 5
    central_character: '100.3'
    coeff_info:
    - x^20 - 1
    - 0.951056516295154 + 0.309016994374947*I
    - \\zeta_{20}
    conductor: 100
    conductor_radical: 10
    conjugate: dirichlet_L_100.67
    degree: 1
    dirichlet_coefficients:
    - a^0
    - 0
    - a^19
    - 0
    - 0
    - 0
    - a^25
    - 0
    - a^18
    - 0
    - a^22
    - 0
    - a^13
    - 0
    - 0
    - 0
    - a^11
    - 0
    - a^16
    - 0
    - a^4
    - 0
    - a^27
    - 0
    - 0
    - 0
    - a^17
    - 0
    - a^14
    - 0
    - a^26
    - 0
    - a^1
    - 0
    - 0
    - 0
    - a^3
    - 0
    - a^12
    - 0
    - a^8
    - 0
    - a^15
    - 0
    - 0
    - 0
    - a^29
    - 0
    - a^10
    - 0
    - a^10
    - 0
    - a^9
    - 0
    - 0
    - 0
    - a^15
    - 0
    - a^28
    - 0
    - a^12
    - 0
    - a^23
    - 0
    - 0
    - 0
    - a^21
    - 0
    - a^6
    - 0
    - a^14
    - 0
    - a^17
    - 0
    - 0
    - 0
    - a^7
    - 0
    - a^24
    - 0
    - a^16
    - 0
    - a^11
    - 0
    - 0
    - 0
    - a^13
    - 0
    - a^2
    - 0
    - a^18
    - 0
    - a^5
    - 0
    - 0
    - 0
    - a^19
    - 0
    - a^0
    - 0
    euler_factors:
    - - 0
    - - 1
      - a^19
    - - 0
    - - 1
      - a^25
    - - 1
      - a^22
    - - 1
      - a^13
    - - 1
      - a^11
    - - 1
      - a^16
    - - 1
      - a^27
    - - 1
      - a^14
    - - 1
      - a^26
    - - 1
      - a^3
    - - 1
      - a^8
    - - 1
      - a^15
    - - 1
      - a^29
    - - 1
      - a^9
    - - 1
      - a^28
    - - 1
      - a^12
    - - 1
      - a^21
    - - 1
      - a^14
    - - 1
      - a^17
    - - 1
      - a^24
    - - 1
      - a^11
    - - 1
      - a^2
    - - 1
      - a^19
    - - 1
      - a^0
    gamma_factors:
    - - 0
    - []
    id: 1804
    index: 0
    label: 1-10e2-100.3-r0-0-0
    leading_term: 1.34401053005672417500908944989-0.0422372324826280081709932777600*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/100/3
    plot_delta:
      __RealLiteral__: 0
      data: '0.3125'
      prec: 20
    plot_values:
    - 1.344674045525959
    - 1.5196984522033088
    - 1.8079278280751105
    - 1.8835203053590526
    - 1.595318086927002
    - 0.9595268556270133
    - 0.1405692144106615
    - -0.5925281983193835
    - -0.9533619604446707
    - -0.7539534069503611
    - -0.007079646276643606
    - 1.0361698553749292
    - 1.9486113590197345
    - 2.283967730432772
    - 1.774885139321734
    - 0.4846227015844892
    - -1.171025801403572
    - -2.5662614259139356
    - -3.1292065788887418
    - -2.613562346658065
    - -1.2413421454359213
    - 0.3729859669796859
    - 1.5026988232878078
    - 1.666759825903743
    - 0.8807312675895131
    - -0.34590855577091656
    - -1.285468665786704
    - -1.4057621985070672
    - -0.6928858096678698
    - 0.31490401257481965
    - 0.8267792749428867
    - 0.2794471481384782
    - -1.2804270497455819
    - -3.156309557980098
    - -4.359976474768675
    - -4.180343370290126
    - -2.6272879212708506
    - -0.465762978129995
    - 1.2076716321280452
    - 1.6069890459099792
    - 0.7242046771439361
    - -0.6807250522444297
    - -1.5757957152576167
    - -1.3284299970632
    - -0.1125022891573944
    - 1.2292301179944762
    - 1.787476422149043
    - 1.248737751678439
    - 0.15139552507553955
    - -0.4677536963932408
    - 0.1832216480463812
    - 2.030894743864763
    - 4.0955772404160635
    - 5.098968513833067
    - 4.327331752681167
    - 2.1507578492537154
    - -0.18600579444053383
    - -1.3811271132760359
    - -0.9400670861156972
    - 0.5262369553500448
    - 1.787039695241798
    - 1.909934962510568
    - 0.934584075617502
    - -0.20251267812062163
    - -0.4374727388579658
    - 0.5464774105273886
    - 2.026084624090254
    - 2.7797793295850677
    - 2.0673319766441556
    - 0.28454455949687313
    - -1.2504385381919363
    - -1.2618427085022434
    - 0.4862326351237323
    - 2.9394849695726846
    - 4.478310310874826
    - 4.091098347081845
    - 2.1026389445574507
    - -0.1074329069595357
    - -1.1769724581203338
    - -0.7795261102035641
    - 0.21575516006585238
    - 0.5558941711150935
    - -0.2918929382134392
    - -1.6692899320100536
    - -2.295741277949562
    - -1.4114867631599566
    - 0.47558595907425544
    - 1.9082587200004428
    - 1.6496188265241594
    - -0.2483146878611448
    - -2.3901858314767397
    - -3.0946416879296645
    - -1.7298082431516801
    - 0.7680875185040619
    - 2.6351846387614906
    - 2.6806097122852277
    - 1.1921722278716418
    - -0.395432814598733
    - -0.765762605640757
    - 0.17775681280228
    - 1.3211931697888475
    - 1.4327612659661866
    - 0.3513864548998172
    - -0.8132064266415926
    - -0.6820136782035231
    - 1.0642307318470057
    - 3.23781598909545
    - 4.043969420206374
    - 2.5993457423021913
    - -0.24836992249978287
    - -2.5512209808592807
    - -2.8395071081264036
    - -1.301665513654364
    - 0.45150978960745225
    - 0.8212777999087376
    - -0.41531118921175053
    - -2.0077685650753785
    - -2.4514294988452576
    - -1.3855058287746502
    - 0.11956963556386921
    - 0.6406206001129102
    - -0.1777662354308129
    - -1.222655238376903
    - -0.9559154692914457
    - 1.041009147169602
    - 3.483719741201001
    - 4.38333531309834
    - 2.786443582200638
    - -0.313725498081516
    - -2.7575439965904587
    - -3.0261598256191533
    - -1.4649038412201019
    - 0.16294631269365473
    - 0.34925318445696385
    - -0.8204641809713747
    - -1.885713793054828
    - -1.5270863134960697
    - 0.10751040502096461
    - 1.5560740326137514
    - 1.5225318545015578
    - 0.22388391447559328
    - -0.7546277655536937
    - -0.015516619420473186
    - 2.1698571966648594
    - 3.9348724493868508
    - 3.4683043266351596
    - 0.7299696396448424
    - -2.4028890652669963
    - -3.743931207343083
    - -2.6872217516589507
    - -0.6288561951948501
    - 0.4374573249447314
    - -0.22169967413582806
    - -1.541623843428927
    - -1.8984247729603192
    - -0.8348441800444935
    - 0.47598851524470176
    - 0.4927238146662369
    - -0.9991246998353631
    - -2.5211771642226664
    - -2.311953119471788
    - -0.14906498031112034
    - 2.264637650738874
    - 2.8278245188109774
    - 1.0532003480515058
    - -1.4006491410592186
    - -2.241111412820605
    - -0.667290404389856
    - 1.932329593451586
    - 3.3588949495993248
    - 2.6770751300467315
    - 0.9510610414101889
    - -0.01569092797457277
    - 0.4171337150331449
    - 1.1520432693929417
    - 0.6735518070312898
    - -1.155822748660283
    - -2.7614215991314652
    - -2.4164076449283396
    - -0.12602789510072884
    - 2.1538999635415914
    - 2.3064678986037475
    - 0.12473568586087723
    - -2.4227220823437072
    - -3.051352141759901
    - -1.3307741188270108
    - 0.9757494123897978
    - 1.7082696870361285
    - 0.4077651582329485
    - -1.38526667539644
    - -1.8540839045836777
    - -0.7986464701664332
    - 0.2796338068193407
    - -0.06394269094699498
    - -1.5478138701486943
    - -2.4236068331865215
    - -1.4340622197941304
    - 0.6288139164393437
    - 1.5204198163229672
    - -0.1991057177686259
    - -3.55121362162981
    - -5.9030440857959166
    - -5.424980763630557
    - -2.7895392826291747
    - -0.4072918300952081
    - -0.010900985470516126
    - -1.0704800704929895
    - -1.6093335810620621
    - -0.45833160985814236
    - 1.4879991871976914
    - 2.32089023167375
    - 1.270036188929196
    - -0.43116501879145974
    - -0.9406343681663522
    - 0.06241119948390478
    - 0.8981734442094059
    - -0.31113096981342636
    - -3.437382190360247
    - -6.161910890589896
    - -6.147129363398366
    - -3.376432899859267
    - -0.2215502582703519
    - 0.8628082871551301
    - -0.35578779255080023
    - -1.9278112115492654
    - -1.953875255932887
    - -0.5615188262153434
    - 0.4561607430143133
    - -0.17348769890087332
    - -1.6903548412568652
    - -2.16808101007544
    - -0.7775332729869713
    - 1.1365612557220461
    - 1.4643528640606365
    - -0.26304961005354943
    - -2.1590681826595173
    - -1.872681203538839
    - 0.8644097627270246
    - 3.791252147772387
    - 4.332381683953704
    - 2.1760287158370657
    - -0.4929030582963445
    - -1.3070878988977508
    - -0.07105275351066145
    - 1.3206265790893685
    - 1.1674909300116394
    - -0.17084392437565016
    - -0.8857666362561807
    - -0.017879501562952246
    - 1.2704789765166848
    - 0.9841274577613366
    - -1.2798941479398451
    - -3.584719249093744
    - -3.5855450446411137
    - -1.1084501409527898
    - 1.4979641240099622
    - 1.7387879120315852
    - -0.431933268213725
    - -2.6004694259960472
    - -2.476608241769519
    - -0.26292530783950935
    - 1.722579744169607
    - 1.651863083628939
    - 0.08092923698870089
    - -0.9121761923483273
    - -0.23170903547711663
    - 1.0310833098779284
    - 1.067918593430584
    - -0.27459148468555833
    - -1.0876610363041397
    - 0.43244915597281325
    - 3.6782956025415037
    - 5.9270595044133545
    - 5.101011559553643
    - 2.013924395487914
    - -0.4177089517905557
    - -0.19834038734978116
    - 1.7684396040679113
    - 2.8627356991119997
    - 1.69496093550645
    - -0.48792504264459446
    - -1.4130842288893661
    - -0.44143804054843405
    - 0.8130803797413669
    - 0.5446440546074786
    - -1.0123893153352068
    - -1.8697178879019656
    - -0.7772023195957123
    - 1.0626478586269597
    - 1.2141131375901641
    - -1.113645858827488
    - -3.8607505747296553
    - -4.12753202065084
    - -1.2844181692790935
    - 2.2745376539452797
    - 3.6068390857487573
    - 2.1961643696023603
    - 0.17940329675851197
    - -0.2737705302015061
    - 0.6603782177618619
    - 0.9962715250571931
    - -0.4099045372439041
    - -2.343753822074558
    - -2.6729932890214103
    - -0.9844451077640185
    - 0.8153945100925327
    - 0.7548334734002503
    - -0.7380744042915972
    - -1.1771626871105243
    - 1.069480609468469
    - 4.632888176765949
    - 6.3531520331083575
    - 4.613173177748613
    - 1.0747583259134341
    - -1.1324786627639138
    - -0.7014484471508159
    - 0.7720323310321291
    - 0.9800530805986567
    - -0.3477943976962044
    - -1.3586356502092298
    - -0.5948665815425037
    - 1.0652390857270686
    - 1.4654012384478863
    - -0.058373422304035937
    - -1.6457003889745891
    - -1.030201416811643
    - 1.6255215254839042
    - 3.6275239864759614
    - 2.6899666891336853
    - -0.41303836349906486
    - -2.6008031291429425
    - -1.856232275830227
    - 0.6210085073885043
    - 1.902862600959076
    - 0.6669865880613963
    - -1.4905474704576838
    - -2.151570747267448
    - -0.9365949845574397
    - 0.29556576006136803
    - -2.642207358879045e-05
    - -1.0252065623206907
    - -0.7119713473859943
    - 1.418760409133498
    - 3.2449645874506734
    - 2.343763146725864
    - -1.0182733807670463
    - -3.8524395364792436
    - -3.616854413633203
    - -0.9977292401720288
    - 0.9311111297137147
    - 0.20239275157416514
    - -1.9493899089365185
    - -2.7460458010052107
    - -1.1907784674237982
    - 0.9039705173397846
    - 1.2736247513721701
    - -0.059751538259283275
    - -1.0176187997114274
    - -0.2628539538596864
    - 1.0325612814299063
    - 0.7372229469687308
    - -1.2900917201124489
    - -2.6425712517587208
    - -1.127026805865285
    - 2.3882671864885423
    - 4.587234168273367
    - 3.272091007112127
    - -0.21208046060714172
    - -2.5266951028624636
    - -2.0358852101284293
    - -0.34287974278810107
    - -0.020692919110864957
    - -1.4401238474276594
    - -2.533117579284159
    - -1.60146791792638
    - 0.46402213314223595
    - 1.3477943944134296
    - 0.331072170825087
    - -0.7305470355530449
    - 0.19194042703566327
    - 2.5098761153494626
    - 3.4606790853441742
    - 1.4513512691147419
    - -1.7398391118325136
    - -2.736705173407182
    - -0.3716263795537247
    - 2.9528116075368613
    - 3.9680989513308442
    - 2.105376341532465
    - -0.22722112807814018
    - -0.7628025668136469
    - 0.04715861538873736
    - 0.05847589510785118
    - -1.4703606329575911
    - -2.783508126090163
    - -1.9482812677639103
    - 0.43746258599036414
    - 1.7509443884307383
    - 0.5863138856481145
    - -1.336551905614338
    - -1.1563496109865723
    - 1.5411941615102451
    - 3.964259469680532
    - 3.270097740747084
    - -0.08073659651177913
    - -2.803597761307075
    - -2.5218920515774834
    - -0.27758908027195006
    - 1.064644442915827
    - 0.3558488481417397
    - -0.7568726852222307
    - -0.34335541904274614
    - 1.1278525814805758
    - 1.4543218539455873
    - -0.19852238184835624
    - -1.9053112080564327
    - -1.2985057934388982
    - 1.2442733252395002
    - 2.705304876833339
    - 0.9584955838669862
    - -2.5262006818376594
    - -4.219935365939001
    - -2.569189887322556
    - 0.3144699899243466
    - 1.2978097411931422
    - -0.09359366469353167
    - -1.4172394039305427
    - -0.594582334330102
    - 1.5061608031611438
    - 2.3587034845114396
    - 1.098723034808461
    - -0.4920218951414391
    - -0.5594529009051739
    - 0.17409090302975178
    - -0.6869138858908488
    - -3.7889706229673825
    - -6.5774459782869155
    - -5.983532524305174
    - -2.1368055453615784
    - 1.524785691602052
    - 2.050437799009304
    - 0.15470628399830558
    - -1.0008057234311656
    - 0.2130842993228517
    - 2.0977947752499118
    - 2.0681658184993132
    - 0.03136100283842449
    - -1.6183401221031946
    - -1.219215587573539
    - 0.03697827534112866
    - -0.1411480255010539
    - -1.8992157130553167
    - -2.900363370099272
    - -1.4863875618470264
    - 0.7832743991018754
    - 0.7362692856604491
    - -2.440095371449342
    - -5.855859565648632
    - -6.0839454639405535
    - -3.08158697074169
    - -0.10591918921913628
    - 0.193154902567473
    - -1.3524261940297606
    - -1.9752654431009025
    - -0.6879662256068845
    - 0.6675023013034714
    - 0.1999286638561616
    - -1.2978456159926641
    - -1.3743930181312185
    - 0.6677286331280164
    - 2.609075610036818
    - 2.122689301784983
    - -0.0426243436441332
    - -0.7973169482902065
    - 1.3492803503842077
    - 4.13878053989816
    - 4.103734940823101
    - 0.7693171672338475
    - -2.701136726681617
    - -3.2188909461908963
    - -1.2190316183398482
    - 0.31580416999233835
    - -0.2515477786233412
    - -1.4669986789362528
    - -1.2106359488339011
    - 0.20264169538330906
    - 0.4881489074308983
    - -1.2551568715571175
    - -2.9632822455237258
    - -2.153019588846916
    - 0.6416157574004183
    - 2.200436621362327
    - 0.5697807217301124
    - -2.3453764148684786
    - -2.9874805547194034
    - -0.496861116788186
    - 2.2492253811240728
    - 2.199514605407551
    - -0.2263474023288311
    - -1.9278321238715475
    - -1.1261620198405753
    - 0.64311298287438
    - 0.9269365609848659
    - -0.288397827741716
    - -0.7890343261689255
    - 0.5119934826296155
    - 1.8098978683918623
    - 0.8177312079675393
    - -1.816787920750945
    - -2.855054043787278
    - -0.4728393331767822
    - 3.163207328679178
    - 4.251152058974016
    - 1.855719779633328
    - -1.069129682719866
    - -1.3823472570122441
    - 0.5478688658044031
    - 1.7366062012228063
    - 0.6478747562389486
    - -0.9626866355138325
    - -0.6746724409875684
    - 1.2213567670570187
    - 2.1707438053802797
    - 0.9109794667162938
    - -0.8145863069830891
    - -0.7996596395108162
    - 0.3031537900192557
    - -0.4066361278311023
    - -4.06333806723129
    - -7.918060171271843
    - -8.207679027242762
    - -4.617557958047325
    - -0.703291259995056
    - 0.29894872826080915
    - -0.9966237670685381
    - -1.5481614695726995
    - -0.10853259561170539
    - 1.3508851893826328
    - 0.6511900229238148
    - -1.4534168087033517
    - -2.3031639159859454
    - -1.0238705540946227
    - 0.28424693412622504
    - -0.43174306409856605
    - -2.102454224982907
    - -1.7927000267042283
    - 1.188643505237896
    - 3.8764517122682447
    - 3.1187654619274134
    - -0.38575615561511556
    - -2.759845592525819
    - -1.5977025491325372
    - 1.2824718303927618
    - 2.368734352880726
    - 0.826416477529027
    - -0.912080027046078
    - -0.7603015337665072
    - 0.2981696271761327
    - -0.027693814688114056
    - -1.7753875051528714
    - -2.498410410086823
    - -0.7862956887999457
    - 1.3965797077199573
    - 1.0404318054562212
    - -1.8322035101900396
    - -3.895010548449715
    - -2.6886836663816753
    - 0.13658397822305818
    - 0.8434708192147207
    - -1.6342697906109764
    - -4.347162538726641
    - -4.086508815033934
    - -1.2973660828062599
    - 0.830087303590137
    - 0.593804415557197
    - -0.4036945730032682
    - -0.036529047016369005
    - 1.121305998382247
    - 0.7203881406221381
    - -1.6567403020331846
    - -3.40197584915149
    - -2.241771004819128
    - 0.4262346452832642
    - 0.9913259621960319
    - -1.726277756481757
    - -4.736935529133532
    - -4.502423578099718
    - -1.312739092533131
    - 1.2285244269914934
    - 0.8374419400577846
    - -0.8046689083933928
    - -0.6819288409013209
    - 1.4240628705610225
    - 2.8635199968058576
    - 1.9442380707397262
    - 0.20438051918779923
    - 0.03373310500670504
    - 1.1426820285849386
    - 1.0032884113760658
    - -1.2500382863863855
    - -3.024119224367912
    - -1.4420222553059296
    - 2.5635543646992716
    - 4.8972776665688835
    - 3.184554676375926
    - -0.348500267614016
    - -1.7338891223816704
    - -0.10065666499005431
    - 1.737288645308203
    - 1.3872036373095236
    - -0.04398015051224432
    - 0.09152349799295575
    - 2.0065676131662644
    - 3.138243699155762
    - 1.834807798703778
    - -0.24306241934341818
    - -0.487589695450488
    - 0.8413465109527514
    - 0.8671299689507534
    - -1.6973818084049546
    - -4.210155773906023
    - -3.174965523604381
    - 1.101211668527444
    - 4.507003037163234
    - 3.9821556024246
    - 0.9967020588274474
    - -0.7228845722798992
    - 0.022288833994362545
    - 0.9421717700257591
    - -0.003105634900699474
    - -1.646145603674313
    - -1.5064781330013446
    - 0.38418914773845786
    - 1.3451079857293662
    - -0.11511386147942373
    - -1.9883409335520632
    - -1.4770677460194865
    - 0.9021719710176396
    - 1.6718203626386887
    - -0.9603655075824169
    - -4.391710299671141
    positive_zeros:
    - '1.92875516039207501279766894184'
    - '3.12731275590550216267690687717'
    - '4.78122236343968103402597778414'
    - '6.486745264046017039204599190286'
    - '7.72496915799651067854093639661'
    - '8.9599053431575930350993413611'
    - '9.75801724716987796765338642782'
    - '11.63430814477296189633952558976'
    - '12.66072538095144967204631890456'
    - '13.77418575163566803571514704779'
    - '15.04754098801139674736431781707'
    - '15.57927278528974942963367523898'
    - '17.47084500326566153824703174831'
    - '18.33403930378635978831524393316'
    - '19.618994905522756081943140306782'
    - '20.17833602930944671870716442538'
    - '21.60956514299968542264095553538'
    - '22.43299828841005229064069633119'
    - '24.04425117619190345683261722894'
    - '24.926905513336786189766507102135'
    - '25.5507053556061478000642747737'
    - '26.79957802453597471593944286939'
    - '27.77885428002611447113362234848'
    - '28.96838168445643838330924738523'
    - '30.21787230497937245022156172844'
    - '30.89363494283042729277376522933'
    - '31.95487171018073715644193535863'
    - '32.65053841743317423563684715114'
    - '34.03609056993939967555561719915'
    - '35.21570099524329537661130335128'
    - '35.85793689955003682191880938446'
    - '37.15760386143749024755556524328'
    - '37.7654125752816169308597979247'
    - '38.61293773414800282467291833408'
    - '39.96910037058004515198336737424'
    - '41.20601655308599160994387768624'
    - '41.68208193202731168468018260631'
    - '42.79420344801127402110389761443'
    - '43.79939378698263385940835956576'
    - '44.37788085893390969590914220246'
    - '45.692636053435677828459755891095'
    - '46.99975892569042210001857348430'
    - '47.44230744614981113083261107341'
    - '48.61674585944560771423581817995'
    - '49.19258009389496216753431805085'
    - '50.32983898833224891348941908445'
    - '51.376666034804164295179884693479'
    - '52.268487739288398648405260195232'
    - '53.731144677412127577117811045781'
    - '53.85699092227234112067529424174'
    - '54.820074580441594684403612864301'
    - '55.95205600007551655572081316812'
    - '56.88886056387867603096111291879'
    - '57.98124106043524108281439357419'
    - '58.81560924727276563405566861621'
    - '59.88564560361538674609669734936'
    - '60.294205741065368113105862094369'
    - '61.46525035652714195693803177114'
    - '62.16559302466244608509385425709'
    - '63.86818515064824372613396213905'
    - '64.05675391211292902879634343306'
    - '65.07384346016939590953138957043'
    - '66.16089764704149567529029047258'
    - '66.860058993465581195211790139916'
    - '67.45701975964812016063202395623'
    - '69.092897030221673789168596066015'
    - '69.62412931583076158076958946879'
    - '70.75024980453015491962220248580'
    - '71.20808568100552105357551240798'
    - '72.30436809501975636350901685139'
    - '73.08833090806420188530708105022'
    - '73.979951017387130617330014880836'
    - '75.24307053765762784394850539866'
    - '75.95050793570962827085603869956'
    - '76.83619884318123784867260635455'
    - '77.50391687020866497371723974351'
    - '78.284079462280442064627026588103'
    - '79.49021183917373216301690522361'
    - '80.2616933413466538022964924875'
    - '81.282550106205824313104674284351'
    - '82.20319723909501876355161696585'
    - '82.866319621720643914972654476232'
    - '83.69357282493886267155792431244'
    - '84.32205102729096516737178203748'
    - '85.855358981295394760249188392281'
    - '86.28896171822349612538082483442'
    - '87.4245262569086446396053978099'
    - '88.21673728436859204122493164917'
    - '88.871566753870918896483446969609'
    - '89.81119793241355826567289891298'
    - '90.50439908421022907859138737464'
    - '91.66740358806601195716879912644'
    - '92.85516267270783923363032334629'
    - '93.24041240099889379087568243883'
    - '93.99712443047501160937497764190'
    - '95.14636658119213769166189018954'
    - '95.79134727332997999700280385875'
    - '96.45341426740254930221467000910'
    - '97.92408278838794383017401699404'
    - '98.579623046596917562788041330574'
    - '99.30562119236396511632560626437'
    - '100.110323299119385383659218040249'
    - '100.92841841896144678223989125095'
    - '101.69865386713836814399627568635'
    - '102.77275893117943087353876194079'
    - '103.67159181079265676889785051460'
    - '104.467677756867105693841924390609'
    - '105.51572645799736851658688430633'
    - '105.93749165192905401005039169706'
    - '106.688337347339157399017878054'
    - '107.727002316461165043146633629823'
    - '108.87080763103774783312138297611'
    - '109.40721490612658123229186050989'
    - '110.474289985763105080864002064471'
    - '111.23790392791679564613134203923'
    - '111.93172977433888883721541510773'
    - '112.6308063010167191817243226482'
    - '113.54482256216905944509890512435'
    - '114.66839496046531674028792599894'
    - '115.7290299970417111690609955080'
    - '115.92854281983197445669633271546'
    - '117.11342469246028365464096905910'
    - '117.883112351827063152005048494162'
    - '118.40590225265329423880750015022'
    - '119.51122745464615023621212409133'
    - '120.345626094077898622095625210267'
    - '121.52191564205025030180658434960'
    - '122.16850012643010375128939657449'
    - '122.51969376298724042894989697885'
    - '123.692953792284663610862177610261'
    - '124.461028796248496294912890412713'
    - '125.15622550122497431774061075036'
    - '126.243099873980308724150203785644'
    - '127.22775534135694878165059965252'
    - '127.89455138014258166855062161600'
    - '128.5150007103892768657379239784'
    - '129.34621254613741647784983778563'
    - '130.168976535751112360102968982530'
    - '131.02600365447095668450822529731'
    - '132.14745734925739469021277757892'
    - '132.79686160415126765192121932805'
    - '133.52919428443385158859094742498'
    - '134.567373059171823182215153200728'
    - '135.212457797933523132566163577858'
    - '135.48990251908469467627453001899'
    - '137.03396490835737531197468237949'
    - '137.836457288710857005630174228305'
    - '138.404123915014011668081654859565'
    - '139.37925577336646261008729047680'
    - '140.29909693463172815845084646997'
    - '140.584626235128328605197466106541'
    - '141.75177657280062404426909944534'
    - '142.28558698907299580604543157690'
    - '143.76921645016896612801675626696'
    - '144.112864977236226913484633303199'
    - '145.12647852764362380811630025098'
    - '145.66859076396911718567489707053'
    - '146.478422349529239958709478010285'
    - '147.49333780650554507673203799653'
    - '147.97222939083895879283153409552'
    - '149.1215322543160880683880266856'
    - '150.20268903594927731119776567820'
    - '150.561019345712972600183340225535'
    - '151.51453792036715409375302821482'
    - '151.99528828373578078731459872057'
    - '153.05536154296522759815930035494'
    - '153.80950780276553221903709342473'
    - '154.7348074519614114570732967035'
    - '155.598218323683429694049960888670'
    - '156.436789387950965306928562501901'
    - '157.119501357114071834922622242598'
    - '157.71978630294027063519441745632'
    - '158.539898246259163102456627887847'
    - '159.41449461134215454058513596672'
    - '160.49029657212321724130900911751'
    - '161.17037303548368984377763993295'
    - '161.98284002751989293879892524686'
    - '162.62233005371698478363742487576'
    - '163.581914933998002087798254604069'
    - '164.274306586097214843120317635380'
    - '164.62346244756190234611459066109'
    - '166.351595462854317149362139374616'
    - '166.662134342256081152104754017232'
    - '167.517469125286593867946139624852'
    - '168.22619773931829815546223968759'
    - '169.26542719173372410110315644192'
    - '169.59365476558052612524194493670'
    - '170.51824859892603541708477608450'
    - '171.52984549568863336665363404198'
    - '172.35752077721640889368980723776'
    - '173.24725662329564989665693864741'
    - '173.957255535725242602546860326492'
    - '174.36832969408526515950759686236'
    - '175.40913293290521684588157067646'
    - '176.06772253489544710219086894493'
    - '177.16952497109095696705196138369'
    - '177.64243021692413805903914263375'
    - '178.90113819635974516008006982107'
    - '179.53649531856554618109203648328'
    - '180.01006778305119163842387819903'
    - '180.737768508860525881151818304458'
    - '181.81851031104949590829702210685'
    - '182.33630064530808917006292798214'
    - '183.563430267490669325415491201532'
    - '184.21140757987192202614736482350'
    - '184.80664471319089477105191692584'
    - '186.000819157955893539916453113657'
    - '186.23637819403419503531793672487'
    - '187.03695791589459070261760329494'
    - '187.93200894413697721559377337690'
    - '189.027563308135933265034137527699'
    - '189.70093494255423036138630097139'
    - '190.61162697615585422208953508504'
    - '190.91412825800409309413173745980'
    - '192.14000046740602321866029200239'
    - '192.62612762458909318290446212167'
    - '193.26031842911881068448783756462'
    - '194.30176753661569033168030737168'
    - '195.43663487257105259956258495133'
    - '195.93235303312001141500279641256'
    - '196.56194148254072890557949472641'
    - '197.44007934850262253394421905426'
    - '198.108761000710740308027537729670'
    - '198.946166923731176568495286308489'
    - '199.60371921034438114836203470598'
    prelabel: 1-10e2-100.3-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4643980476297358
    root_angle: -0.02
    root_number: 0.998026728428271561952336806863-0.0627905195293133760761782245655*I
    self_dual: false
    sign_arg:
      __RealLiteral__: 0
      data: '-0.01'
      prec: 17
    spectral_label: r0-0
    st_group: mu(20)
    symmetry_type: unitary
    types:
    - DIR
    values:
    - - 1
      - 1.33251955386308079420344654739-0.0396354250696559059459530084148*I
    z1:
      __RealLiteral__: 0
      data: '1.92875516039'
      prec: 44
    z2:
      __RealLiteral__: 0
      data: '3.12731275591'
      prec: 44
    z3:
      __RealLiteral__: 0
      data: '4.78122236344'
      prec: 44
- - algebraic: true
    analytic_conductor: 0.4643980476297358
    bad_primes:
    - 2
    - 5
    central_character: '100.3'
    conductor: 100
    conductor_radical: 10
    degree: 1
    id: 1804
    index: 0
    instance_types:
    - DIR
    instance_urls:
    - Character/Dirichlet/100/3
    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: 1-10e2-100.3-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: 1-10e2-100.3-r0-0
    primitive: true
    rational: false
    root_analytic_conductor: 0.4643980476297358
    root_angle: -0.01
    self_dual: false
    spectral_label: r0-0
    z1:
      __RealLiteral__: 0
      data: '1.92875516039'
      prec: 44
- - Lhash: dirichlet_L_100.3
    Lhash_array:
    - dirichlet_L_100.3
    id: 1783215
    label: 1-10e2-100.3-r0-0-0
    type: DIR
    url: Character/Dirichlet/100/3
label_cols:
- label
- label
- label
labels:
- 1-10e2-100.3-r0-0-0
- 1-10e2-100.3-r0-0-0
- 1-10e2-100.3-r0-0-0
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T01:47:31.850233'