Non-zero values of function T_{r,k}

Last revised: 06/07/13

Below we show all non-zero values of the function T_{r,k} for r≤106. We will not extend the table to larger values of the half-gap size r. Double-checking of the displayed results has been completedi in the following way :
Three programs were available which were developed independently. One by Tomás Oliveira e Silva (estimate) and two by Herzog ( trk_e and trk_2011 ). Double-checking means that a particular value of T_{r,k} has been obtained by at least two of the above mentioned programs.

Color code scheme

The color of an entry reflects which programs have been used to compute/double-check its value.
  1. estimate, trk_e
  2. trk_2011, estimate
  3. trk_2011, trk_e

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T_{ 2, 1} = 1

T_{ 3, 1} = 2
T_{ 3, 2} = 2

T_{ 4, 1} = 1
T_{ 4, 2} = 2
T_{ 4, 3} = 1

T_{ 5, 1} = 4
T_{ 5, 2} = 6
T_{ 5, 3} = 2

T_{ 6, 1} = 6
T_{ 6, 2} = 14
T_{ 6, 3} = 10
T_{ 6, 4} = 2

T_{ 7, 1} = 18
T_{ 7, 2} = 40
T_{ 7, 3} = 28
T_{ 7, 4} = 6

T_{ 8, 1} = 15
T_{ 8, 2} = 40
T_{ 8, 3} = 36
T_{ 8, 4} = 12
T_{ 8, 5} = 1

T_{ 9, 1} = 30
T_{ 9, 2} = 92
T_{ 9, 3} = 100
T_{ 9, 4} = 44
T_{ 9, 5} = 6
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T_{10, 1} = 20
T_{10, 2} = 78
T_{10, 3} = 116
T_{10, 4} = 80
T_{10, 5} = 24
T_{10, 6} = 2

T_{11, 1} = 150
T_{11, 2} = 504
T_{11, 3} = 632
T_{11, 4} = 350
T_{11, 5} = 72
T_{12, 1} = 270
T_{12, 2} = 1088
T_{12, 3} = 1738
T_{12, 4} = 1376
T_{12, 5} = 540
T_{12, 6} = 84

T_{13, 1} = 1620
T_{13, 2} = 6688
T_{13, 3} = 11090
T_{13, 4} = 9378
T_{13, 5} = 4224
T_{13, 6} = 952
T_{13, 7} = 84
T_{14, 1} = 1782
T_{14, 2} = 7400
T_{14, 3} = 12312
T_{14, 4} = 10400
T_{14, 5} = 4634
T_{14, 6} = 1008
T_{14, 7} = 80

T_{15, 1} = 3960
T_{15, 2} = 19312
T_{15, 3} = 38958
T_{15, 4} = 41768
T_{15, 5} = 25376
T_{15, 6} = 8570
T_{15, 7} = 1446
T_{15, 8} = 90

T_{16, 1} = 1485
T_{16, 2} = 8128
T_{16, 3} = 18833
T_{16, 4} = 23992
T_{16, 5} = 18255
T_{16, 6} = 8428
T_{16, 7} = 2287
T_{16, 8} = 332
T_{16, 9} = 20

T_{17, 1} = 23760
T_{17, 2} = 122400
T_{17, 3} = 265734
T_{17, 4} = 315120
T_{17, 5} = 220944
T_{17, 6} = 92466
T_{17, 7} = 22120
T_{17, 8} = 2700
T_{17, 9} = 128

T_{18, 1} = 44550
T_{18, 2} = 248688
T_{18, 3} = 592204
T_{18, 4} = 783298
T_{18, 5} = 627720
T_{18, 6} = 311962
T_{18, 7} = 94618
T_{18, 8} = 16604
T_{18, 9} = 1516
T_{18,10} = 56

T_{19, 1} = 400950
T_{19, 2} = 2239104
T_{19, 3} = 5333232
T_{19, 4} = 7045200
T_{19, 5} = 5612012
T_{19, 6} = 2737436
T_{19, 7} = 788592
T_{19, 8} = 120186
T_{19, 9} = 7140
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T_{20, 1} = 504900
T_{20, 2} = 2915840
T_{20, 3} = 7236810
T_{20, 4} = 10062640
T_{20, 5} = 8559382
T_{20, 6} = 4558512
T_{20, 7} = 1490236
T_{20, 8} = 279200
T_{20, 9} = 25632
T_{20,10} = 768

T_{21, 1} = 908820
T_{21, 2} = 5777920
T_{21, 3} = 16006998
T_{21, 4} = 25293628
T_{21, 5} = 25040302
T_{21, 6} = 16042408
T_{21, 7} = 6621546
T_{21, 8} = 1691666
T_{21, 9} = 243872
T_{21,10} = 16210
T_{21,11} = 294

T_{22, 1} = 420750
T_{22, 2} = 2834496
T_{22, 3} = 8400816
T_{22, 4} = 14384852
T_{22, 5} = 15706264
T_{22, 6} = 11377586
T_{22, 7} = 5507072
T_{22, 8} = 1745434
T_{22, 9} = 342926
T_{22,10} = 37092
T_{22,11} = 1632

T_{23, 1} = 8330850
T_{23, 2} = 55372800
T_{23, 3} = 161805900
T_{23, 4} = 272787560
T_{23, 5} = 292530312
T_{23, 6} = 207276852
T_{23, 7} = 97483328
T_{23, 8} = 29693850
T_{23, 9} = 5502392
T_{23,10} = 541736
T_{23,11} = 20016

T_{24, 1} = 15904350
T_{24, 2} = 110218240
T_{24, 3} = 337714368
T_{24, 4} = 601500212
T_{24, 5} = 688462352
T_{24, 6} = 528267460
T_{24, 7} = 274911048
T_{24, 8} = 95882496
T_{24, 9} = 21589178
T_{24,10} = 2909644
T_{24,11} = 201728
T_{24,12} = 4972

T_{25, 1} = 10602900
T_{25, 2} = 78453760
T_{25, 3} = 259208326
T_{25, 4} = 503845272
T_{25, 5} = 638819850
T_{25, 6} = 553348174
T_{25, 7} = 333200948
T_{25, 8} = 139061136
T_{25, 9} = 39323050
T_{25,10} = 7178822
T_{25,11} = 771934
T_{25,12} = 40444
T_{25,13} = 600

T_{26, 1} = 8675100
T_{26, 2} = 65815552
T_{26, 3} = 222480280
T_{26, 4} = 441115188
T_{26, 5} = 568043690
T_{26, 6} = 496665190
T_{26, 7} = 299126614
T_{26, 8} = 123115352
T_{26, 9} = 33552948
T_{26,10} = 5667978
T_{26,11} = 519164
T_{26,12} = 18536

T_{27, 1} = 15904350
T_{27, 2} = 125480960
T_{27, 3} = 445109722
T_{27, 4} = 936691472
T_{27, 5} = 1299110200
T_{27, 6} = 1247084166
T_{27, 7} = 846351674
T_{27, 8} = 407142718
T_{27, 9} = 136899012
T_{27,10} = 31105922
T_{27,11} = 4478894
T_{27,12} = 360574
T_{27,13} = 11960

T_{28, 1} = 9542610
T_{28, 2} = 79116800
T_{28, 3} = 296040342
T_{28, 4} = 660329424
T_{28, 5} = 976836268
T_{28, 6} = 1008786990
T_{28, 7} = 745507958
T_{28, 8} = 397603418
T_{28, 9} = 152405984
T_{28,10} = 41308490
T_{28,11} = 7673250
T_{28,12} = 923930
T_{28,13} = 64608
T_{28,14} = 1968

T_{29, 1} = 222660900
T_{29, 2} = 1776107520
T_{29, 3} = 6375729282
T_{29, 4} = 13593395200
T_{29, 5} = 19128593472
T_{29, 6} = 18668443948
T_{29, 7} = 12918700344
T_{29, 8} = 6366803478
T_{29, 9} = 2211452320
T_{29,10} = 527416896
T_{29,11} = 82484676
T_{29,12} = 7844956
T_{29,13} = 399104
T_{29,14} = 8100
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T_{30, 1} = 572556600
T_{30, 2} = 4908898560
T_{30, 3} = 19058897448
T_{30, 4} = 44275879872
T_{30, 5} = 68497116236
T_{30, 6} = 74303160400
T_{30, 7} = 57941831774
T_{30, 8} = 32750959046
T_{30, 9} = 13353970000
T_{30,10} = 3859063126
T_{30,11} = 764861984
T_{30,12} = 98561550
T_{30,13} = 7586778
T_{30,14} = 302746
T_{30,15} = 4480

T_{31, 1} = 6441261750
T_{31, 2} = 56911196160
T_{31, 3} = 228830896980
T_{31, 4} = 553838648256
T_{31, 5} = 899233690940
T_{31, 6} = 1033124953150
T_{31, 7} = 863141800752
T_{31, 8} = 530478526848
T_{31, 9} = 239751903028
T_{31,10} = 78777761916
T_{31,11} = 18369533720
T_{31,12} = 2915154534
T_{31,13} = 293137524
T_{31,14} = 16351382
T_{31,15} = 367552

T_{32, 1} = 6226553025
T_{32, 2} = 54069370880
T_{32, 3} = 213249174660
T_{32, 4} = 505037201552
T_{32, 5} = 799957727050
T_{32, 6} = 893157886368
T_{32, 7} = 721531916562
T_{32, 8} = 425908066056
T_{32, 9} = 183169043337
T_{32,10} = 56517842560
T_{32,11} = 12135950902
T_{32,12} = 1721143800
T_{32,13} = 147584208
T_{32,14} = 6550848
T_{32,15} = 112320

T_{33, 1} = 13836784500
T_{33, 2} = 127085826560
T_{33, 3} = 532897145178
T_{33, 4} = 1350034178880
T_{33, 5} = 2304270553388
T_{33, 6} = 2797174955788
T_{33, 7} = 2484362101368
T_{33, 8} = 1635525293974
T_{33, 9} = 799505921412
T_{33,10} = 287863227268
T_{33,11} = 74936047534
T_{33,12} = 13668343964
T_{33,13} = 1663472704
T_{33,14} = 125284200
T_{33,15} = 5175900
T_{33,16} = 91350

T_{34, 1} = 6641656560
T_{34, 2} = 63757824000
T_{34, 3} = 280475561070
T_{34, 4} = 748667274256
T_{34, 5} = 1353200542126
T_{34, 6} = 1749907156172
T_{34, 7} = 1667427651782
T_{34, 8} = 1187717946838
T_{34, 9} = 634711470646
T_{34,10} = 253000600276
T_{34,11} = 74055977086
T_{34,12} = 15480295878
T_{34,13} = 2207599238
T_{34,14} = 199031808
T_{34,15} = 9862880
T_{34,16} = 192160

T_{35, 1} = 9962484840
T_{35, 2} = 96876953600
T_{35, 3} = 432135635850
T_{35, 4} = 1171099054240
T_{35, 5} = 2152382571534
T_{35, 6} = 2835785493016
T_{35, 7} = 2759909244350
T_{35, 8} = 2014530552238
T_{35, 9} = 1108039672762
T_{35,10} = 457350869200
T_{35,11} = 139837955468
T_{35,12} = 30944771326
T_{35,13} = 4778251840
T_{35,14} = 487520528
T_{35,15} = 30442852
T_{35,16} = 1064164
T_{35,17} = 18816

T_{36, 1} = 12453106050
T_{36, 2} = 127682379776
T_{36, 3} = 602742218688
T_{36, 4} = 1735887448560
T_{36, 5} = 3406772065718
T_{36, 6} = 4819501425908
T_{36, 7} = 5069438616922
T_{36, 8} = 4030491923108
T_{36, 9} = 2437709247970
T_{36,10} = 1119602041980
T_{36,11} = 386741167836
T_{36,12} = 98639132388
T_{36,13} = 18033434580
T_{36,14} = 2257761370
T_{36,15} = 180216916
T_{36,16} = 8118406
T_{36,17} = 156816

T_{37, 1} = 224155908900
T_{37, 2} = 2258481971200
T_{37, 3} = 10485155702790
T_{37, 4} = 29727848617632
T_{37, 5} = 57509346598784
T_{37, 6} = 80322576915068
T_{37, 7} = 83574029162340
T_{37, 8} = 65878208525724
T_{37, 9} = 39608684408832
T_{37,10} = 18136932095412
T_{37,11} = 6264191334804
T_{37,12} = 1600844158000
T_{37,13} = 293085317616
T_{37,14} = 36456896856
T_{37,15} = 2811462016
T_{37,16} = 112121310
T_{37,17} = 1405120

T_{38, 1} = 230748729750
T_{38, 2} = 2411472967680
T_{38, 3} = 11646227156256
T_{38, 4} = 34464227113728
T_{38, 5} = 69858296785638
T_{38, 6} = 102699532806420
T_{38, 7} = 113090240638294
T_{38, 8} = 94980077296328
T_{38, 9} = 61362749906514
T_{38,10} = 30530722672060
T_{38,11} = 11633891012650
T_{38,12} = 3353415754800
T_{38,13} = 716559419004
T_{38,14} = 110184341212
T_{38,15} = 11696423466
T_{38,16} = 810181320
T_{38,17} = 33751448
T_{38,18} = 689472

T_{39, 1} = 475482231000
T_{39, 2} = 5056905641984
T_{39, 3} = 24879391641270
T_{39, 4} = 75091338143520
T_{39, 5} = 155456237650394
T_{39, 6} = 233797081544148
T_{39, 7} = 263891934090706
T_{39, 8} = 227713534939218
T_{39, 9} = 151586934803914
T_{39,10} = 77985040623608
T_{39,11} = 30856603351642
T_{39,12} = 9281105407498
T_{39,13} = 2080266780954
T_{39,14} = 336823629344
T_{39,15} = 37538402896
T_{39,16} = 2661185116
T_{39,17} = 103715324
T_{39,18} = 1553664
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T_{40, 1} = 290572474500
T_{40, 2} = 3217574563840
T_{40, 3} = 16522527381660
T_{40, 4} = 52193608424640
T_{40, 5} = 113443073296082
T_{40, 6} = 179758677356140
T_{40, 7} = 214648689734852
T_{40, 8} = 196882550453606
T_{40, 9} = 140103047047410
T_{40,10} = 77578889838382
T_{40,11} = 33324688737756
T_{40,12} = 11005560653696
T_{40,13} = 2751585740978
T_{40,14} = 509022041328
T_{40,15} = 67502090428
T_{40,16} = 6157496700
T_{40,17} = 367520194
T_{40,18} = 13442632
T_{40,19} = 247104

T_{41, 1} = 8717174235000
T_{41, 2} = 95681838120960
T_{41, 3} = 487113052565106
T_{41, 4} = 1525850855944192
T_{41, 5} = 3289438770811056
T_{41, 6} = 5171436235308420
T_{41, 7} = 6128844426141488
T_{41, 8} = 5581656225549888
T_{41, 9} = 3945575974799680
T_{41,10} = 2171379563508894
T_{41,11} = 927506301661440
T_{41,12} = 304733719269234
T_{41,13} = 75810269580360
T_{41,14} = 13946598106740
T_{41,15} = 1834787555380
T_{41,16} = 164967003550
T_{41,17} = 9574497744
T_{41,18} = 335025360
T_{41,19} = 5989984

T_{42, 1} = 20398187709900
T_{42, 2} = 230390073446400
T_{42, 3} = 1210316260423734
T_{42, 4} = 3924806790507264
T_{42, 5} = 8792111102109134
T_{42, 6} = 14426247529891712
T_{42, 7} = 17936724046096796
T_{42, 8} = 17244030430155484
T_{42, 9} = 12964306839942670
T_{42,10} = 7658268281875910
T_{42,11} = 3551888385697250
T_{42,12} = 1285848587533260
T_{42,13} = 359334197792348
T_{42,14} = 76224727448216
T_{42,15} = 11996736993974
T_{42,16} = 1361951109740
T_{42,17} = 108309173442
T_{42,18} = 5903754918
T_{42,19} = 213896296
T_{42,20} = 4112640

T_{43, 1} = 356968284923250
T_{43, 2} = 4072898572288000
T_{43, 3} = 21633731461881000
T_{43, 4} = 71005296100137984
T_{43, 5} = 161183359278762180
T_{43, 6} = 268368111134480008
T_{43, 7} = 339128859159088416
T_{43, 8} = 331982345586920210
T_{43, 9} = 254699894371280936
T_{43,10} = 153929109487740906
T_{43,11} = 73255234405634944
T_{43,12} = 27301794662074920
T_{43,13} = 7881540452637900
T_{43,14} = 1732002769340138
T_{43,15} = 282440262314448
T_{43,16} = 32954135285214
T_{43,17} = 2611402346748
T_{43,18} = 130185778650
T_{43,19} = 3594920208
T_{43,20} = 39744000

T_{44, 1} = 387187822271250
T_{44, 2} = 4463881633792000
T_{44, 3} = 23980004976526326
T_{44, 4} = 79682286267592704
T_{44, 5} = 183337657035704452
T_{44, 6} = 309817175019838848
T_{44, 7} = 397975852337067900
T_{44, 8} = 396744615775804984
T_{44, 9} = 310638281093588580
T_{44,10} = 192078091670055360
T_{44,11} = 93809745627849172
T_{44,12} = 36012562653889860
T_{44,13} = 10756775161928664
T_{44,14} = 2459325567403600
T_{44,15} = 420017369979996
T_{44,16} = 51713879906052
T_{44,17} = 4355828888200
T_{44,18} = 231451257312
T_{44,19} = 6743643240
T_{44,20} = 77907060

T_{45, 1} = 929250773451000
T_{45, 2} = 11103863001907200
T_{45, 3} = 61990862057937216
T_{45, 4} = 214714768952209920
T_{45, 5} = 516705475463371688
T_{45, 6} = 916762024826645872
T_{45, 7} = 1241878510848564212
T_{45, 8} = 1312251497360173406
T_{45, 9} = 1095557303258607490
T_{45,10} = 727454698640349046
T_{45,11} = 384794778177376044
T_{45,12} = 161673354562318272
T_{45,13} = 53553420048545308
T_{45,14} = 13811411868027004
T_{45,15} = 2722369321597070
T_{45,16} = 399596251105906
T_{45,17} = 42156863760386
T_{45,18} = 3049822524742
T_{45,19} = 142329327510
T_{45,20} = 3904669788
T_{45,21} = 47393280

T_{46, 1} = 365062803855750
T_{46, 2} = 4497676255887360
T_{46, 3} = 25943414144042700
T_{46, 4} = 93060625575511296
T_{46, 5} = 232545041481394696
T_{46, 6} = 429736002403280400
T_{46, 7} = 608459037974968772
T_{46, 8} = 674776278188887384
T_{46, 9} = 594129179154767542
T_{46,10} = 418501104993713916
T_{46,11} = 236525621094613078
T_{46,12} = 107136635186126094
T_{46,13} = 38700384029637332
T_{46,14} = 11048983115220804
T_{46,15} = 2460206249137560
T_{46,16} = 419457931647292
T_{46,17} = 53441623663262
T_{46,18} = 4926173122432
T_{46,19} = 313672520592
T_{46,20} = 12656289426
T_{46,21} = 251085120

T_{47, 1} = 16029575842029750
T_{47, 2} = 195779421831168000
T_{47, 3} = 1120457650667669028
T_{47, 4} = 3991788817584733184
T_{47, 5} = 9919300906421185944
T_{47, 6} = 18255879107466773040
T_{47, 7} = 25790168494984542000
T_{47, 8} = 28600222742606378136
T_{47, 9} = 25249269222627530564
T_{47,10} = 17891422331281694028
T_{47,11} = 10212480732408720480
T_{47,12} = 4694427777622581670
T_{47,13} = 1730875198672866820
T_{47,14} = 507905788106783286
T_{47,15} = 117187939674022080
T_{47,16} = 20899315425847768
T_{47,17} = 2814864559039080
T_{47,18} = 277703714986434
T_{47,19} = 19289475752904
T_{47,20} = 894595077540
T_{47,21} = 25225225168
T_{47,22} = 322560000

T_{48, 1} = 31362213603971250
T_{48, 2} = 390603330971238400
T_{48, 3} = 2281569526378818990
T_{48, 4} = 8304439726783567872
T_{48, 5} = 21106895683478405972
T_{48, 6} = 39784878897063956288
T_{48, 7} = 57651231507074162846
T_{48, 8} = 65698299730393550706
T_{48, 9} = 59733752404638457140
T_{48,10} = 43710156171765100334
T_{48,11} = 25854030412569009884
T_{48,12} = 12370262181918895310
T_{48,13} = 4775882375226905970
T_{48,14} = 1479545686404101018
T_{48,15} = 364608354978947098
T_{48,16} = 70626699392871458
T_{48,17} = 10589803178839244
T_{48,18} = 1205593025527458
T_{48,19} = 101585531894986
T_{48,20} = 6080541341184
T_{48,21} = 236137037892
T_{48,22} = 4536301100

T_{49, 1} = 18817328162382750
T_{49, 2} = 240180048396288000
T_{49, 3} = 1439357594534951364
T_{49, 4} = 5381358541502828544
T_{49, 5} = 14066734732797946074
T_{49, 6} = 27304983980097161728
T_{49, 7} = 40801738006023714396
T_{49, 8} = 48015204986631081624
T_{49, 9} = 45145311850510119292
T_{49,10} = 34209049141837962568
T_{49,11} = 20979580831996603478
T_{49,12} = 10417947402745994070
T_{49,13} = 4176190677559491992
T_{49,14} = 1342524240747948450
T_{49,15} = 342458374352027652
T_{49,16} = 68257074785732032
T_{49,17} = 10402283276165848
T_{49,18} = 1175675730676662
T_{49,19} = 94261569774990
T_{49,20} = 5000891056854
T_{49,21} = 154605823776
T_{49,22} = 2022271080
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T_{50, 1} = 20908142402647500
T_{50, 2} = 269986905010995200
T_{50, 3} = 1637925447477541482
T_{50, 4} = 6203859307904275968
T_{50, 5} = 16443770980946288916
T_{50, 6} = 32401875186240467648
T_{50, 7} = 49218000545241169758
T_{50, 8} = 58977867831770861780
T_{50, 9} = 56589514043998565718
T_{50,10} = 43882786680849458778
T_{50,11} = 27641586217377023832
T_{50,12} = 14166137706398208960
T_{50,13} = 5898728359864927632
T_{50,14} = 1987218426812417014
T_{50,15} = 537817605465074254
T_{50,16} = 115756389393901674
T_{50,17} = 19551140647847750
T_{50,18} = 2547429044512502
T_{50,19} = 250575776107190
T_{50,20} = 18082691967140
T_{50,21} = 916246161856
T_{50,22} = 29805089200
T_{50,23} = 478800000

T_{51, 1} = 33453027844236000
T_{51, 2} = 445992030175232000
T_{51, 3} = 2797323861604767588
T_{51, 4} = 10969670320547582080
T_{51, 5} = 30147240680953267488
T_{51, 6} = 61682962852777161376
T_{51, 7} = 97429493462536287676
T_{51, 8} = 121566831391720214630
T_{51, 9} = 121602354476728926416
T_{51,10} = 98397260065096563882
T_{51,11} = 64706038485115531190
T_{51,12} = 34612336471090121472
T_{51,13} = 15023176039766205832
T_{51,14} = 5259623091476247292
T_{51,15} = 1470858230270363544
T_{51,16} = 323898918458896000
T_{51,17} = 55054809577972878
T_{51,18} = 7026751741702566
T_{51,19} = 648144944833228
T_{51,20} = 40921090915446
T_{51,21} = 1630237838468
T_{51,22} = 35721801064
T_{51,23} = 316207500

T_{52, 1} = 17106661965802500
T_{52, 2} = 232653199089991680
T_{52, 3} = 1491196259692236780
T_{52, 4} = 5987352471023545344
T_{52, 5} = 16883748451977703868
T_{52, 6} = 35530519971612962528
T_{52, 7} = 57875527424376271584
T_{52, 8} = 74692157781263362380
T_{52, 9} = 77534725709559497680
T_{52,10} = 65349388240135678248
T_{52,11} = 44947759058581430130
T_{52,12} = 25264332277966652726
T_{52,13} = 11581938364739409704
T_{52,14} = 4306858613099510108
T_{52,15} = 1287005173310032662
T_{52,16} = 304712418201224666
T_{52,17} = 55997473138851278
T_{52,18} = 7753734549425136
T_{52,19} = 774095081864864
T_{52,20} = 52016412037832
T_{52,21} = 2090044171878
T_{52,22} = 39252418280
T_{52,23} = 139536000

T_{53, 1} = 815417553703252500
T_{53, 2} = 10998467421221683200
T_{53, 3} = 69905601477741961350
T_{53, 4} = 278299667147111409408
T_{53, 5} = 778026968530043837952
T_{53, 6} = 1623014143056568613728
T_{53, 7} = 2620332419380620047900
T_{53, 8} = 3351350682999245322720
T_{53, 9} = 3447164997480115098000
T_{53,10} = 2878442304835702363384
T_{53,11} = 1961061997045801746684
T_{53,12} = 1091587523777858203682
T_{53,13} = 495424251880652905520
T_{53,14} = 182327394788403868848
T_{53,15} = 53899642514570903340
T_{53,16} = 12618353073414143422
T_{53,17} = 2291832037931727168
T_{53,18} = 313561705291512440
T_{53,19} = 30954088076371872
T_{53,20} = 2065329111857022
T_{53,21} = 83862457719744
T_{53,22} = 1731144105936
T_{53,23} = 13357512000

T_{54, 1} = 1599472893802533750
T_{54, 2} = 21991649479819264000
T_{54, 3} = 142626523034655502866
T_{54, 4} = 580036631545341333504
T_{54, 5} = 1658652301960146737362
T_{54, 6} = 3544494182017953412560
T_{54, 7} = 5872536115528820726710
T_{54, 8} = 7723875038089850364912
T_{54, 9} = 8190561778382114339450
T_{54,10} = 7072420294899642019162
T_{54,11} = 5001306191380748104878
T_{54,12} = 2902990141588202769510
T_{54,13} = 1381931186093641374998
T_{54,14} = 537397608663995799112
T_{54,15} = 169474880995519061222
T_{54,16} = 42857145631135857734
T_{54,17} = 8549758257882457376
T_{54,18} = 1314527806529199470
T_{54,19} = 150608278059260714
T_{54,20} = 12226724160736744
T_{54,21} = 648869444000454
T_{54,22} = 19462831229776
T_{54,23} = 234627886704

T_{55, 1} = 1184794736150025000
T_{55, 2} = 16859671669800960000
T_{55, 3} = 113402284046134888374
T_{55, 4} = 479392457805790470144
T_{55, 5} = 1428494592766413777574
T_{55, 6} = 3189625825866809747296
T_{55, 7} = 5538154844652822968774
T_{55, 8} = 7658726745848271141284
T_{55, 9} = 8570498175790734960094
T_{55,10} = 7841767030108829207254
T_{55,11} = 5903388996261958758904
T_{55,12} = 3667314316625188105690
T_{55,13} = 1880008791392177707080
T_{55,14} = 793072342272734288602
T_{55,15} = 273708728311875469998
T_{55,16} = 76575512538913594328
T_{55,17} = 17135473474146656486
T_{55,18} = 3009387016149433986
T_{55,19} = 403835051230427806
T_{55,20} = 39837681078866066
T_{55,21} = 2726178673625610
T_{55,22} = 117941760127526
T_{55,23} = 2736937010836
T_{55,24} = 23930334360

T_{56, 1} = 959683736281520250
T_{56, 2} = 13712728208506880000
T_{56, 3} = 92587655462342220342
T_{56, 4} = 392749937183022833664
T_{56, 5} = 1173814675779951688186
T_{56, 6} = 2627350921554179201408
T_{56, 7} = 4569972355364292790198
T_{56, 8} = 6326005067393790776552
T_{56, 9} = 7079248026479175420208
T_{56,10} = 6469936935675976587804
T_{56,11} = 4858273685108037737078
T_{56,12} = 3005227223951082261618
T_{56,13} = 1530802080720006934418
T_{56,14} = 639968956219274996508
T_{56,15} = 218163185152633476740
T_{56,16} = 60032562455056615200
T_{56,17} = 13140006983713488160
T_{56,18} = 2240666170044945346
T_{56,19} = 289006999279481600
T_{56,20} = 27012221271226360
T_{56,21} = 1714524808651300
T_{56,22} = 66591102390988
T_{56,23} = 1322469364568
T_{56,24} = 9684057600

T_{57, 1} = 1693559534614447500
T_{57, 2} = 24820686660231168000
T_{57, 3} = 172249764562704048258
T_{57, 4} = 752738537844280452096
T_{57, 5} = 2323706006675990642724
T_{57, 6} = 5387995536387560638664
T_{57, 7} = 9740675971910079247190
T_{57, 8} = 14067034929046878452412
T_{57, 9} = 16493578453177235470190
T_{57,10} = 15871158019053011191528
T_{57,11} = 12618891715031282053286
T_{57,12} = 8319415048829092336976
T_{57,13} = 4551431985429323602396
T_{57,14} = 2062345333600700896100
T_{57,15} = 770411166270122757832
T_{57,16} = 235449677832936957046
T_{57,17} = 58204791944419087480
T_{57,18} = 11452679709729558144
T_{57,19} = 1753354574235875870
T_{57,20} = 202146900540214218
T_{57,21} = 16714958004206550
T_{57,22} = 916831645375644
T_{57,23} = 29020363294148
T_{57,24} = 392766537524
T_{57,25} = 999044928

T_{58, 1} = 829356315305017500
T_{58, 2} = 12409605238947840000
T_{58, 3} = 88012198372871837610
T_{58, 4} = 393511883415186714624
T_{58, 5} = 1244451367329186619270
T_{58, 6} = 2960319644592062328800
T_{58, 7} = 5499733872103779701326
T_{58, 8} = 8177844749093366860440
T_{58, 9} = 9895084053760530032854
T_{58,10} = 9852377381762223754256
T_{58,11} = 8131260757584985991312
T_{58,12} = 5585750374867714536664
T_{58,13} = 3198749472227896796438
T_{58,14} = 1525703022165989067166
T_{58,15} = 604114564640392659248
T_{58,16} = 197410942388163479300
T_{58,17} = 52767925943791100188
T_{58,18} = 11393498650014021544
T_{58,19} = 1952832182643434570
T_{58,20} = 259337429103507490
T_{58,21} = 25778963560224038
T_{58,22} = 1821945998015764
T_{58,23} = 84296718610654
T_{58,24} = 2195359656472
T_{58,25} = 22467757512

T_{59, 1} = 46384713920273478750
T_{59, 2} = 681180051982123008000
T_{59, 3} = 4738266671517265708584
T_{59, 4} = 20762994178969867376640
T_{59, 5} = 64302051774822018235488
T_{59, 6} = 149668706158436535119008
T_{59, 7} = 271816205998489923325360
T_{59, 8} = 394699313317995397061760
T_{59, 9} = 465842820434833656063900
T_{59,10} = 451839073678985754119442
T_{59,11} = 362716202894368533864576
T_{59,12} = 241929256048155175573470
T_{59,13} = 134236459361518162043984
T_{59,14} = 61878135773787262244730
T_{59,15} = 23604857677051312142976
T_{59,16} = 7402215107872635982846
T_{59,17} = 1889263827482596431804
T_{59,18} = 386977489985540873228
T_{59,19} = 62382328324809182400
T_{59,20} = 7701822120100332510
T_{59,21} = 700515452849311748
T_{59,22} = 44310648175660124
T_{59,23} = 1779524312252472
T_{59,24} = 38691099997200
T_{59,25} = 323955306976
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T_{60, 1} = 121559939928992565000
T_{60, 2} = 1842791168403046400000
T_{60, 3} = 13251192626877535865232
T_{60, 4} = 60120149862456082280448
T_{60, 5} = 193100115326644768426050
T_{60, 6} = 467003757531892097439680
T_{60, 7} = 883050949240082662516760
T_{60, 8} = 1338106833191830983852644
T_{60, 9} = 1652333656803286333838258
T_{60,10} = 1681717813884577438699078
T_{60,11} = 1421414585715742397221170
T_{60,12} = 1002185282912455416567124
T_{60,13} = 590572618054651960858606
T_{60,14} = 290755449375773214653056
T_{60,15} = 119276704995130069143352
T_{60,16} = 40565565192200362211424
T_{60,17} = 11348839754355911479646
T_{60,18} = 2582986309781505597484
T_{60,19} = 470985585196795618826
T_{60,20} = 67363083401090669050
T_{60,21} = 7336922561625575824
T_{60,22} = 583112370621265630
T_{60,23} = 31705508149667576
T_{60,24} = 1063095915085094
T_{60,25} = 18394436530972
T_{60,26} = 123864586560

T_{61, 1} = 2735098648402332712500
T_{61, 2} = 41866367212459130880000
T_{61, 3} = 304317275035227706007910
T_{61, 4} = 1397326150139499051466752
T_{61, 5} = 4548250783578496148584640
T_{61, 6} = 11163666513916025569574400
T_{61, 7} = 21458997216311932266903864
T_{61, 8} = 33116782841428817340211068
T_{61, 9} = 41733412020833876118676056
T_{61,10} = 43449036763562743495820844
T_{61,11} = 37665278883343127642143800
T_{61,12} = 27320273910957818321812624
T_{61,13} = 16621136665712289766605888
T_{61,14} = 8483271530761812192027230
T_{61,15} = 3625548653874657295893460
T_{61,16} = 1292204081376385398288180
T_{61,17} = 381624672563084171873432
T_{61,18} = 92527004799550978072398
T_{61,19} = 18183401935510214048940
T_{61,20} = 2846196073837363663940
T_{61,21} = 346374744132880984960
T_{61,22} = 31665363014275482024
T_{61,23} = 2065229694057101948
T_{61,24} = 88307758456748862
T_{61,25} = 2107871312421240
T_{61,26} = 18580339890000

T_{62, 1} = 2782255521650648793750
T_{62, 2} = 42506854071738040320000
T_{62, 3} = 308219352480428564068740
T_{62, 4} = 1410955131479905939931136
T_{62, 5} = 4575648816338274412194490
T_{62, 6} = 11181029431033261849464576
T_{62, 7} = 21378713407128058530571720
T_{62, 8} = 32786657547190443391112800
T_{62, 9} = 41013714499377556027168998
T_{62,10} = 42332011604221689670352700
T_{62,11} = 36327384119432808887575944
T_{62,12} = 26039788731755739309050880
T_{62,13} = 15624224586941070459678686
T_{62,14} = 7846057378225857382842664
T_{62,15} = 3289837891801289113191960
T_{62,16} = 1146429305955177651825968
T_{62,17} = 329634313868880576038532
T_{62,18} = 77403017597165225789040
T_{62,19} = 14633737991630947457478
T_{62,20} = 2184553533756865336160
T_{62,21} = 250614699534668013714
T_{62,22} = 21249461026917082036
T_{62,23} = 1254736608796553160
T_{62,24} = 46682007418970496
T_{62,25} = 894775876979880
T_{62,26} = 4797846206208

T_{63, 1} = 6454832810229505201500
T_{63, 2} = 101479745604449730560000
T_{63, 3} = 758359529896942619426430
T_{63, 4} = 3583862405128548619517952
T_{63, 5} = 12020350680572034225963516
T_{63, 6} = 30441301838748972952341312
T_{63, 7} = 60460554340478638936865400
T_{63, 8} = 96562385079408348724102448
T_{63, 9} = 126157179078124424405177800
T_{63,10} = 136440419097769533814257566
T_{63,11} = 123145962884612610065808818
T_{63,12} = 93239658831338377072545920
T_{63,13} = 59388805480251833797951586
T_{63,14} = 31844914813082050394866382
T_{63,15} = 14356787307337642997773298
T_{63,16} = 5424281586364821880425072
T_{63,17} = 1708253818431542113132864
T_{63,18} = 444921590320931934048288
T_{63,19} = 94808007141796298131854
T_{63,20} = 16289193840160052140508
T_{63,21} = 2212476722708180418418
T_{63,22} = 231206335119245971824
T_{63,23} = 17885328921867862932
T_{63,24} = 966286403472221448
T_{63,25} = 33110954699554528
T_{63,26} = 595888229937052
T_{63,27} = 3326409671040

T_{64, 1} = 2689513670928960500625
T_{64, 2} = 43177833345455226880000
T_{64, 3} = 329689835733621529757745
T_{64, 4} = 1592939415925724366241792
T_{64, 5} = 5465931244308064600331668
T_{64, 6} = 14171131688640743533408512
T_{64, 7} = 28834815910410635247798180
T_{64, 8} = 47215130740390443744367176
T_{64, 9} = 63292669214262524867821641
T_{64,10} = 70292540991806725613305652
T_{64,11} = 65205616129239317245202789
T_{64,12} = 50787451060035369572768656
T_{64,13} = 33309135225983918652216886
T_{64,14} = 18409235736997835646559960
T_{64,15} = 8563442100194093954615362
T_{64,16} = 3342077285421926452294482
T_{64,17} = 1088514464572527981679868
T_{64,18} = 293593565515446717727920
T_{64,19} = 64883565054782942543074
T_{64,20} = 11581742339715310797890
T_{64,21} = 1637896596817616456928
T_{64,22} = 178746935978137889650
T_{64,23} = 14506248091842030276
T_{64,24} = 828847328685950690
T_{64,25} = 30539606179246778
T_{64,26} = 616812542484936
T_{64,27} = 4573930475520

T_{65, 1} = 3912019884987578910000
T_{65, 2} = 63396729426647239884800
T_{65, 3} = 488966528537233679131650
T_{65, 4} = 2388126112323226458882048
T_{65, 5} = 8290028242502568839494482
T_{65, 6} = 21762953906488938098002432
T_{65, 7} = 44883300933618626588007632
T_{65, 8} = 74574438531445856410156664
T_{65, 9} = 101567685440074061934275734
T_{65,10} = 114772151436077005725020900
T_{65,11} = 108509409528733859273559034
T_{65,12} = 86307068475122453870023348
T_{65,13} = 57938571377739243399466068
T_{65,14} = 32866911381781216291773514
T_{65,15} = 15745255731093162528423386
T_{65,16} = 6354632259298654233890614
T_{65,17} = 2151398768742144543573736
T_{65,18} = 607140998534623384439776
T_{65,19} = 141582334785652600899134
T_{65,20} = 26966502580161499543474
T_{65,21} = 4130915207478783560456
T_{65,22} = 498599913983536071074
T_{65,23} = 46107423771812869346
T_{65,24} = 3139208699087455892
T_{65,25} = 148182381362523522
T_{65,26} = 4391291710106020
T_{65,27} = 67965746162800
T_{65,28} = 381125606400

T_{66, 1} = 5976697046508801112500
T_{66, 2} = 99290205353674906009600
T_{66, 3} = 786071269018398156210360
T_{66, 4} = 3946265891481883654379520
T_{66, 5} = 14101876882581289510601094
T_{66, 6} = 38169996997029035983814496
T_{66, 7} = 81304366450967849026233180
T_{66, 8} = 139778154703497676010162362
T_{66, 9} = 197369019136330612168503430
T_{66,10} = 231713394286767208179780484
T_{66,11} = 228117424819816742486722560
T_{66,12} = 189396744159428689927769692
T_{66,13} = 133065771299346591009968750
T_{66,14} = 79222994211382829474025272
T_{66,15} = 39952717360943418634736936
T_{66,16} = 17029249348819004143779422
T_{66,17} = 6109934108602253856258704
T_{66,18} = 1834083297741309084036316
T_{66,19} = 456731366665697417375258
T_{66,20} = 93286521633784678044604
T_{66,21} = 15393335374392507075194
T_{66,22} = 2011207977999002982154
T_{66,23} = 202448502938359106554
T_{66,24} = 15107265417450277344
T_{66,25} = 788917865567850360
T_{66,26} = 26188483033846586
T_{66,27} = 454667771497168
T_{66,28} = 2229744344184

T_{67, 1} = 177507902281311393041250
T_{67, 2} = 2934140305335753113600000
T_{67, 3} = 23120202849068433769784640
T_{67, 4} = 115569965705282114537226240
T_{67, 5} = 411415863613916659138736572
T_{67, 6} = 1110040022794347524254469248
T_{67, 7} = 2358678868482764165504364600
T_{67, 8} = 4048815941789210643539213364
T_{67, 9} = 5714497888460773543833561556
T_{67,10} = 6714788353556968050099915672
T_{67,11} = 6626816663821679497801749232
T_{67,12} = 5525838195114432664901708320
T_{67,13} = 3907853239525834913586924912
T_{67,14} = 2348098848187728986018375462
T_{67,15} = 1198845842948568207547112400
T_{67,16} = 519245473276873482553642176
T_{67,17} = 190141845715255914153054000
T_{67,18} = 58557081926086716913441830
T_{67,19} = 15052781546911859564415072
T_{67,20} = 3197106999693046789111158
T_{67,21} = 553440640537384318563224
T_{67,22} = 76669222909551515245890
T_{67,23} = 8291570002948969786280
T_{67,24} = 676254662528716729670
T_{67,25} = 39556423172570471664
T_{67,26} = 1534591259041241588
T_{67,27} = 34431525297050400
T_{67,28} = 327215454658560

T_{68, 1} = 186472947851074594710000
T_{68, 2} = 3141831719985159864320000
T_{68, 3} = 25259103506412258726801096
T_{68, 4} = 128954425624546160622993408
T_{68, 5} = 469353387288165475616574430
T_{68, 6} = 1296199516372068062155004160
T_{68, 7} = 2822471078167995183782874702
T_{68, 8} = 4971177427271631355641990648
T_{68, 9} = 7208705827088424371111270430
T_{68,10} = 8715199866516799848059394240
T_{68,11} = 8863025014408198201495753210
T_{68,12} = 7628386877491427457349688928
T_{68,13} = 5578662660614820256180469088
T_{68,14} = 3473442165090667268258071832
T_{68,15} = 1841944396004714898845507514
T_{68,16} = 830874891251715849168044500
T_{68,17} = 317898779154852925939932596
T_{68,18} = 102691533911057385585597408
T_{68,19} = 27824229313563528726640468
T_{68,20} = 6267579448164981400912976
T_{68,21} = 1160008799694767332928280
T_{68,22} = 173689145293033034053928
T_{68,23} = 20608612808598906381540
T_{68,24} = 1883593860154046423712
T_{68,25} = 127336879745643358266
T_{68,26} = 5979193793336115360
T_{68,27} = 174479755893847560
T_{68,28} = 2454993810416256
T_{68,29} = 4459536000000

T_{69, 1} = 366286147564610811037500
T_{69, 2} = 6211310944496555078451200
T_{69, 3} = 50262362124461098485940080
T_{69, 4} = 258298936132928392150941696
T_{69, 5} = 946441951280640594245603678
T_{69, 6} = 2631668353319522416845904128
T_{69, 7} = 5770657980444642802688944674
T_{69, 8} = 10237154682060217094463545952
T_{69, 9} = 14955771352580870491128404702
T_{69,10} = 18221809610387449589332698992
T_{69,11} = 18681799474696052531694348314
T_{69,12} = 16217617219451753673969607406
T_{69,13} = 11968510037633146245939975676
T_{69,14} = 7525180991636531242427667566
T_{69,15} = 4033090229600314325382330486
T_{69,16} = 1840531143434228708049557332
T_{69,17} = 713331738079914442663183672
T_{69,18} = 233787519610806718870527864
T_{69,19} = 64397321255737263529777340
T_{69,20} = 14785183861867972514695022
T_{69,21} = 2798603021932905175551048
T_{69,22} = 430498670540718539274460
T_{69,23} = 52804363130808404955190
T_{69,24} = 5033822296558256420134
T_{69,25} = 359786341021827724360
T_{69,26} = 18275562895189599412
T_{69,27} = 604380014074491416
T_{69,28} = 10997597613113760
T_{69,29} = 70977249747200
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T_{70, 1} = 279709421776611892065000
T_{70, 2} = 4869509409162028646400000
T_{70, 3} = 40503650707844852164019460
T_{70, 4} = 214241085140270675435126784
T_{70, 5} = 809158566297597044434935048
T_{70, 6} = 2322835929022925774102255872
T_{70, 7} = 5267611263907620653616385278
T_{70, 8} = 9682684669356768463044866992
T_{70, 9} = 14688072641554868414610825638
T_{70,10} = 18624935591824585563373401178
T_{70,11} = 19924537924326410631891061358
T_{70,12} = 18099678505081196084473241764
T_{70,13} = 14022870644230155620056438690
T_{70,14} = 9289735942304939688755161926
T_{70,15} = 5267472802362082144097997860
T_{70,16} = 2555225364056544945620288202
T_{70,17} = 1058413225481235723850162666
T_{70,18} = 373084304404941916275862826
T_{70,19} = 111355632480509177600097500
T_{70,20} = 27951584439695825619773752
T_{70,21} = 5847741039793201159145450
T_{70,22} = 1007861341502130175942246
T_{70,23} = 140961969277986814223944
T_{70,24} = 15687003747834048459764
T_{70,25} = 1352908393163391859758
T_{70,26} = 87154487109704079878
T_{70,27} = 3967515596517832006
T_{70,28} = 116089359509182412
T_{70,29} = 1783629820089576
T_{70,30} = 7053133086720
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T_{71, 1} = 12237287202726770277843750
T_{71, 2} = 211603378570551248289792000
T_{71, 3} = 1748268935806983652580377860
T_{71, 4} = 9185564685986521837738426368
T_{71, 5} = 34461335424389827975353670668
T_{71, 6} = 98267885486600144753545086720
T_{71, 7} = 221356549444952490429060012032
T_{71, 8} = 404148957140985481573213479120
T_{71, 9} = 608902864193824051579481470252
T_{71,10} = 766785011384023467310254844656
T_{71,11} = 814529361726695718530473199280
T_{71,12} = 734610367630207336472148192112
T_{71,13} = 564937885762215361812127420000
T_{71,14} = 371392962979297614487928470584
T_{71,15} = 208912090314950154630405328960
T_{71,16} = 100497772925323835419862938500
T_{71,17} = 41261665596558104840379313428
T_{71,18} = 14408323223367513056462399176
T_{71,19} = 4257155831023190303507722696
T_{71,20} = 1056837742202642430575673030
T_{71,21} = 218394074132127789958732900
T_{71,22} = 37114909947171768400697610
T_{71,23} = 5105628810459027581196000
T_{71,24} = 556712574875356287510366
T_{71,25} = 46761063839640254388620
T_{71,26} = 2904420076817658257700
T_{71,27} = 125176658452128790936
T_{71,28} = 3335833585859612160
T_{71,29} = 41370684656499072
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T_{72, 1} = 24124937628232775690606250
T_{72, 2} = 423932235291245143916544000
T_{72, 3} = 3561892818748041338708398650
T_{72, 4} = 19046627334706069134856323072
T_{72, 5} = 72788863317120084209718436750
T_{72, 6} = 211637360584262269565858917376
T_{72, 7} = 486633298314789185625397430540
T_{72, 8} = 908076876848709089525073623728
T_{72, 9} = 1400284569027662546248744405504
T_{72,10} = 1807712040405846114094613602442
T_{72,11} = 1972194414012504748131898835776
T_{72,12} = 1830650654169878109526140616418
T_{72,13} = 1452490838373837408576715197866
T_{72,14} = 987958052076608415286532540566
T_{72,15} = 576890184803936423003688865814
T_{72,16} = 289197068021190508211053969572
T_{72,17} = 124304025593583052898591973976
T_{72,18} = 45691399282529034008539612290
T_{72,19} = 14305354319262867178180017958
T_{72,20} = 3793667639037184258313977454
T_{72,21} = 845899126990663418899728240
T_{72,22} = 157087408744184196157162176
T_{72,23} = 24000362006652020893613056
T_{72,24} = 2969597809618442267501188
T_{72,25} = 291474478794074508359556
T_{72,26} = 22069443356494058912018
T_{72,27} = 1238799661250781656848
T_{72,28} = 48460348327389226148
T_{72,29} = 1180737570907959932
T_{72,30} = 13552108552007280
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T_{73, 1} = 868497754616379924861825000
T_{73, 2} = 15358673565095538951454720000
T_{73, 3} = 129938900822432882187022149750
T_{73, 4} = 700076976806017232164324048896
T_{73, 5} = 2697459836045701377305172865496
T_{73, 6} = 7913443374230079870225687277568
T_{73, 7} = 18374281132866745600730452478616
T_{73, 8} = 34654099728999928364182331214320
T_{73, 9} = 54063094608166568711044337166080
T_{73,10} = 70687533780507452141420554493880
T_{73,11} = 78203013227657214229231810381500
T_{73,12} = 73711404696468182191148254077940
T_{73,13} = 59479708243107588726931992975480
T_{73,14} = 41217412595706850052025450021822
T_{73,15} = 24569181592685517257178974799252
T_{73,16} = 12602204744110125598551543476580
T_{73,17} = 5557179001195645749807600319552
T_{73,18} = 2102246137467255997144189362430
T_{73,19} = 679903284478017834347602438656
T_{73,20} = 187092792162305749118535598252
T_{73,21} = 43526026551660094123820706360
T_{73,22} = 8491168268417663359854957090
T_{73,23} = 1374649036063661215335609100
T_{73,24} = 182250586611902834164928712
T_{73,25} = 19452687246841618869406656
T_{73,26} = 1634150224421871289288744
T_{73,27} = 104707048748441756520508
T_{73,28} = 4884466894535264934960
T_{73,29} = 153756332578234253560
T_{73,30} = 2832422314536475600
T_{73,31} = 21613179630344400
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T_{74, 1} = 880904865396613923788422500
T_{74, 2} = 15454047063544457854976000000
T_{74, 3} = 129691439242184975182545782880
T_{74, 4} = 693028366331369172040816459776
T_{74, 5} = 2648109835404328571245077960654
T_{74, 6} = 7702952123818089650301356362752
T_{74, 7} = 17731225339279098785719112286690
T_{74, 8} = 33146341073976013931153374726656
T_{74, 9} = 51243515001676445313409596889200
T_{74,10} = 66378809517958470003177494685292
T_{74,11} = 72733734355266948149788646762284
T_{74,12} = 67878758736061334229690233768520
T_{74,13} = 54212313370343127668504997165990
T_{74,14} = 37167463777966778055589821415100
T_{74,15} = 21909227632388975037393940930818
T_{74,16} = 11107430392593703175512480903872
T_{74,17} = 4838393409822826963108685316510
T_{74,18} = 1806874459163582969916041159484
T_{74,19} = 576462483331000381029612899760
T_{74,20} = 156350464333244243041028046608
T_{74,21} = 35817376033439663458180285860
T_{74,22} = 6872681966731090807486794800
T_{74,23} = 1092873171070884838093596480
T_{74,24} = 142069579145944162234795776
T_{74,25} = 14832035906272646380161288
T_{74,26} = 1214079731146860772778480
T_{74,27} = 75286478904520747745250
T_{74,28} = 3351197141906693096512
T_{74,29} = 97176149704325886872
T_{74,30} = 1473802804590452280
T_{74,31} = 4680345790022400
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T_{75, 1} = 2283827428806036098710725000
T_{75, 2} = 41165096381883633568317440000
T_{75, 3} = 355239039580566188967642634920
T_{75, 4} = 1953791269178543905967801303040
T_{75, 5} = 7691384573458872133053582581438
T_{75, 6} = 23073967708717079256826490278912
T_{75, 7} = 54839174681414113912564787922612
T_{75, 8} = 105975421016720078509398170374280
T_{75, 9} = 169590362493117507062980773845856
T_{75,10} = 227725089349362854093006906364264
T_{75,11} = 259072595075370196199094729209516
T_{75,12} = 251464163630749315056164739485670
T_{75,13} = 209279925421740602324837405592150
T_{75,14} = 149831324230571960033955165666960
T_{75,15} = 92450280635281099750471106943556
T_{75,16} = 49192405273105546644225369906848
T_{75,17} = 22558449067057838860711866167726
T_{75,18} = 8899706517198229578233777168330
T_{75,19} = 3011762017262244557486901454172
T_{75,20} = 870621260029663555546682961336
T_{75,21} = 213795955585803296184614156980
T_{75,22} = 44286052483591879615723025008
T_{75,23} = 7669985166221464670390836018
T_{75,24} = 1098515682504641219539880650
T_{75,25} = 128328479441770197849821392
T_{75,26} = 12014286272417480799860648
T_{75,27} = 880451288337436933708392
T_{75,28} = 48815198934361151208418
T_{75,29} = 1936884905966532923276
T_{75,30} = 49376003005958478548
T_{75,31} = 611341852804541184
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T_{76, 1} = 906813832025926098017493750
T_{76, 2} = 16765198791887741675110400000
T_{76, 3} = 148557266536399404823574563590
T_{76, 4} = 839936042437021820206665891840
T_{76, 5} = 3403327564896558619807739547178
T_{76, 6} = 10522702704498998135849645690880
T_{76, 7} = 25811791931354629198676882903302
T_{76, 8} = 51560458753287306089839458006144
T_{76, 9} = 85429807251483331828185932363734
T_{76,10} = 118982498128203644133051092865700
T_{76,11} = 140664848201657561667676145689348
T_{76,12} = 142176276750062440078139010215798
T_{76,13} = 123490921840074099728521843665972
T_{76,14} = 92495192501311428368626981410132
T_{76,15} = 59865970217151980877165208669030
T_{76,16} = 33510228198433465379105270451396
T_{76,17} = 16216991477457452444420818500024
T_{76,18} = 6775400347231779194452053289784
T_{76,19} = 2437611271005267636579156471120
T_{76,20} = 752406198020068801929305112894
T_{76,21} = 198272450692502224286037878706
T_{76,22} = 44328690906616090441982246070
T_{76,23} = 8344167110054278375532052184
T_{76,24} = 1310175386997333767755503914
T_{76,25} = 169720527709296142384234226
T_{76,26} = 17903783454397946222133396
T_{76,27} = 1514368074454756286067448
T_{76,28} = 100733017733980911561200
T_{76,29} = 5126107398324385001872
T_{76,30} = 190219901124066857064
T_{76,31} = 4646711079398053248
T_{76,32} = 56494783786186368
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T_{77, 1} = 1141913714403018049355362500
T_{77, 2} = 21151273523481167056076800000
T_{77, 3} = 187795551114052074072418304430
T_{77, 4} = 1064047271414625651676758147072
T_{77, 5} = 4321277814947158202470736046898
T_{77, 6} = 13394082101389536764121547649280
T_{77, 7} = 32944314184397123795897226258036
T_{77, 8} = 66004674973795026522752029462560
T_{77, 9} = 109725051346471615730802300054656
T_{77,10} = 153387508609125038278215458514684
T_{77,11} = 182100456162271632603006907408352
T_{77,12} = 184936732619621665057587275065832
T_{77,13} = 161513121994802191100482342421644
T_{77,14} = 121742232482491429267788339554948
T_{77,15} = 79379001081036605542794603853862
T_{77,16} = 44818859487968037537810286818850
T_{77,17} = 21912324778491172412812942018792
T_{77,18} = 9266473172318042275088734797318
T_{77,19} = 3382309320292390627339931437910
T_{77,20} = 1062175062585312141891842273724
T_{77,21} = 285747297682542094462543545668
T_{77,22} = 65486562071902715179670869462
T_{77,23} = 12696338361022937498823783016
T_{77,24} = 2064528850362112574570540204
T_{77,25} = 278591192621767971653973636
T_{77,26} = 30787002902664653029633456
T_{77,27} = 2739341234256548855846284
T_{77,28} = 191791492300602864461898
T_{77,29} = 10214817388638320733252
T_{77,30} = 391275064373729060916
T_{77,31} = 9661966204494439888
T_{77,32} = 115997681239326720
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T_{78, 1} = 1868586078114029535308775000
T_{78, 2} = 35277896711937005979697152000
T_{78, 3} = 319537513773604965721848368724
T_{78, 4} = 1848778333165107018478707277824
T_{78, 5} = 7674979056758661309261435912852
T_{78, 6} = 24345229699962100546428146533888
T_{78, 7} = 61356164280160217745555629193598
T_{78, 8} = 126131036036002401701762983864784
T_{78, 9} = 215463531729647802253582229846478
T_{78,10} = 310024504027157500817790892809416
T_{78,11} = 379531274810331152305296264330552
T_{78,12} = 398261517242735551014372768820462
T_{78,13} = 360195102121464115251192453638840
T_{78,14} = 281867564421261484158950928295656
T_{78,15} = 191338688123599377331089892788648
T_{78,16} = 112829441383905520332749096695784
T_{78,17} = 57818019352427996065645908728916
T_{78,18} = 25731206886125016891777005617986
T_{78,19} = 9929703634235245800881867290830
T_{78,20} = 3314369082584141671868188286474
T_{78,21} = 953531766686669334729984832014
T_{78,22} = 235377974870123814116379540802
T_{78,23} = 49570693142478195419708823624
T_{78,24} = 8844927719472577110347692626
T_{78,25} = 1325943720617941840862980732
T_{78,26} = 165316575840028736885338776
T_{78,27} = 16931785840748901956843734
T_{78,28} = 1402599690088018981218150
T_{78,29} = 92035400180276055457290
T_{78,30} = 4637555542834486135620
T_{78,31} = 170190498238135512984
T_{78,32} = 4089389185259730432
T_{78,33} = 48642991215112800
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T_{79, 1} = 66801952292576555887288706250
T_{79, 2} = 1257439955858810805524889600000
T_{79, 3} = 11353183834596058921609997538300
T_{79, 4} = 65461666633648906371204317184000
T_{79, 5} = 270752692529937774296039767098396
T_{79, 6} = 855423079772450180810845517733888
T_{79, 7} = 2146670374752806364148028806182096
T_{79, 8} = 4392658508893677068292865165846016
T_{79, 9} = 7466630898706000980523717551470120
T_{79,10} = 10686304360084216384526772109765896
T_{79,11} = 13007151591863757029525471003625552
T_{79,12} = 13564861248995660334085563143078288
T_{79,13} = 12186893295864384104950291434179160
T_{79,14} = 9468721102319833794052530099719810
T_{79,15} = 6378396306057650727766723827152384
T_{79,16} = 3730417152299538439061372134912470
T_{79,17} = 1894905336340512627387615318129752
T_{79,18} = 835504599260388303938246808354450
T_{79,19} = 319299414134717521222363374287040
T_{79,20} = 105515235998939949620345056502056
T_{79,21} = 30054750870942360416583550594844
T_{79,22} = 7349393949762936107771207636538
T_{79,23} = 1535536826977233996188446946864
T_{79,24} = 272636643760582206889316279340
T_{79,25} = 40893859654113848804593392636
T_{79,26} = 5149995023086877585278362916
T_{79,27} = 541158411597490714218415328
T_{79,28} = 47138111903181960225307086
T_{79,29} = 3375472466023073270950000
T_{79,30} = 195901520010682893973384
T_{79,31} = 8956474159833401703552
T_{79,32} = 304585793488526121920
T_{79,33} = 6850546021499764608
T_{79,34} = 76035320524800000
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T_{80, 1} = 87927356009032389800362912500
T_{80, 2} = 1676895274932518349250232320000
T_{80, 3} = 15353169439283197691829546757500
T_{80, 4} = 89854438805391857679826973097984
T_{80, 5} = 377610775855508084073504739648376
T_{80, 6} = 1213556490909057251678692717099008
T_{80, 7} = 3101608588831827757320360523396686
T_{80, 8} = 6472620411447924784105722907645440
T_{80, 9} = 11237193996081927243697545576649236
T_{80,10} = 16453588075618613839579414263194656
T_{80,11} = 20526510739378911196067204474654336
T_{80,12} = 21985745108780822785840068174891768
T_{80,13} = 20333522331250125131478283101395740
T_{80,14} = 16305368884504928601591077134947840
T_{80,15} = 11369502622151166246607080501000174
T_{80,16} = 6905846704994607877335475173596196
T_{80,17} = 3656866153823805131703714082227224
T_{80,18} = 1688052410675065015163565551289360
T_{80,19} = 678661084518910531977326979032504
T_{80,20} = 237226090552193464367362844680260
T_{80,21} = 71913898922418423131794672515186
T_{80,22} = 18842462503349154106907344518784
T_{80,23} = 4248969875368830267794058877110
T_{80,24} = 820303433970508476924656854320
T_{80,25} = 134726784719842115155453359240
T_{80,26} = 18680724843734666958193440232
T_{80,27} = 2166401586735156571381380288
T_{80,28} = 207697248023118730153656400
T_{80,29} = 16213622894653504928806492
T_{80,30} = 1009058114357740129975776
T_{80,31} = 48480782901198268743044
T_{80,32} = 1702282669071868507504
T_{80,33} = 39199160087375158080
T_{80,34} = 447305967577497600
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T_{81, 1} = 131891034013548584700544368750
T_{81, 2} = 2553627158270557148728524800000
T_{81, 3} = 23746343255569663695187046251650
T_{81, 4} = 141213528051762233380062192205824
T_{81, 5} = 603272531305640553205908942136208
T_{81, 6} = 1971780017480597823956058649520640
T_{81, 7} = 5127586955770900475017897240637520
T_{81, 8} = 10892609766092838961482553224384128
T_{81, 9} = 19258904510305121605359280825263880
T_{81,10} = 28730805657528711800790596132584260
T_{81,11} = 36534206727328917352349599843274274
T_{81,12} = 39902059622334746023379623556390764
T_{81,13} = 37643664419641290395678834899492426
T_{81,14} = 30801218882032308930270296241016270
T_{81,15} = 21919943446679216930990951094777816
T_{81,16} = 13590619261520167912743949377660604
T_{81,17} = 7346322984497235132347600000804158
T_{81,18} = 3461296993500318996592390727827370
T_{81,19} = 1419966597768682667628485974740702
T_{81,20} = 506239331497027321406627424859958
T_{81,21} = 156415254626476067188374953140340
T_{81,22} = 41734221999365013529416609653682
T_{81,23} = 9573591010802035649573587727254
T_{81,24} = 1878192761465701630390737922798
T_{81,25} = 313212869444354869090360193332
T_{81,26} = 44092964147115380851820076376
T_{81,27} = 5199521236744927588099694892
T_{81,28} = 509121094371675750789930916
T_{81,29} = 40967588760098156141694890
T_{81,30} = 2672420034995855175504678
T_{81,31} = 138456246708996232919368
T_{81,32} = 5504790474860809557720
T_{81,33} = 157929583026910595552
T_{81,34} = 2900435850820675200
T_{81,35} = 25390610251776000
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T_{82, 1} = 67636427699255684461817625000
T_{82, 2} = 1316348242969969793056112640000
T_{82, 3} = 12303567333296566604779657894200
T_{82, 4} = 73535486538973588963245425295360
T_{82, 5} = 315701701755986036263585075923392
T_{82, 6} = 1036836460917223486601551545765888
T_{82, 7} = 2708858556261208282477310151269690
T_{82, 8} = 5780222654565389742509031130791040
T_{82, 9} = 10263201112632832555643812589911350
T_{82,10} = 15371429366511870117115602972497512
T_{82,11} = 19616866752407153493440839101537430
T_{82,12} = 21493232335295307993560920362792830
T_{82,13} = 20330261945380183300486212961853218
T_{82,14} = 16667662351392006471324454582486160
T_{82,15} = 11875154886671115192287889810172472
T_{82,16} = 7363318198932328747739323575999968
T_{82,17} = 3975155170577036040207691235925318
T_{82,18} = 1867327525224490809331929113678564
T_{82,19} = 762044953693871302104713218572400
T_{82,20} = 269462440284655497182180525785888
T_{82,21} = 82255346445970903613138037963010
T_{82,22} = 21569870562400106388350465712674
T_{82,23} = 4828647971635056375589359634420
T_{82,24} = 915554633486120324615381536838
T_{82,25} = 145607269307572886369860471722
T_{82,26} = 19189680116143724379361125380
T_{82,27} = 2064470412303640046052406700
T_{82,28} = 177916930163484843453828740
T_{82,29} = 11990493885719603273389050
T_{82,30} = 612126458204060155237574
T_{82,31} = 22629146893533066669232
T_{82,32} = 563647252741664636272
T_{82,33} = 8217337021917328224
T_{82,34} = 48166310870496000
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T_{83, 1} = 5407532394555491972722319118750
T_{83, 2} = 105586243273552582866496389120000
T_{83, 3} = 990880034353576575456501155070000
T_{83, 4} = 5951341675179052819525485708705792
T_{83, 5} = 25700473632555825204991428726795972
T_{83, 6} = 84994144545686708244443064233914368
T_{83, 7} = 223874463967146882919644620475449776
T_{83, 8} = 482271900525075163008196868847950400
T_{83, 9} = 865811426321785896976770808202575816
T_{83,10} = 1313400830569900289363067798521951024
T_{83,11} = 1700997935531552863874656236182611872
T_{83,12} = 1895531000439212344348154532702026740
T_{83,13} = 1828210129158239020712128749958620640
T_{83,14} = 1532744909219386361845641490897652004
T_{83,15} = 1120452006438687679037969710518417824
T_{83,16} = 715580236651775907841645078521207884
T_{83,17} = 399680212662879179541359769032313288
T_{83,18} = 195265023732291239700160791772340510
T_{83,19} = 83387970676815877313132432290198656
T_{83,20} = 31082017032929366818241449119948504
T_{83,21} = 10089044568277535426282084365317308
T_{83,22} = 2842965801991716098128891837873678
T_{83,23} = 692686323792287703160012504206960
T_{83,24} = 145208919357343984873692076865294
T_{83,25} = 26033362250548182141798844520980
T_{83,26} = 3962858929997771023071567501960
T_{83,27} = 507754109150035200860225954464
T_{83,28} = 54183177416125763602271471500
T_{83,29} = 4751836225372331790157279332
T_{83,30} = 336507979860019136580359828
T_{83,31} = 18767018833893145096783944
T_{83,32} = 793029945433708425444564
T_{83,33} = 23791091302656112388400
T_{83,34} = 447845528432134524384
T_{83,35} = 3910318270422220800
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T_{84, 1} = 12819808506116922432892912642500
T_{84, 2} = 252873455455552967188414464000000
T_{84, 3} = 2397664886913078914613692351361150
T_{84, 4} = 14551446911008047426492495048474624
T_{84, 5} = 63504144848200317105571419968741258
T_{84, 6} = 212254817137300802239441576374464512
T_{84, 7} = 565079394799569293447089669878826646
T_{84, 8} = 1230413756163562109229438831314800800
T_{84, 9} = 2232759996081062731281443060602739884
T_{84,10} = 3423463548731245969887127053422338396
T_{84,11} = 4481200142647288330799102573092237334
T_{84,12} = 5046555104608609227822098522353907360
T_{84,13} = 4918020443813335538852754507434992038
T_{84,14} = 4165153798185081076255547050818344302
T_{84,15} = 3074771086387862778246633831690568776
T_{84,16} = 1982235462304174616112264688949096220
T_{84,17} = 1117004634252284718049299800323069060
T_{84,18} = 550197900975928801777971340847384872
T_{84,19} = 236691617537234932501077074964380796
T_{84,20} = 88780532457264491797158016883953488
T_{84,21} = 28961812271502230294779025351043776
T_{84,22} = 8188942549944282726853398104952316
T_{84,23} = 1998224978346470793056980957725576
T_{84,24} = 418573269531979468918997372221936
T_{84,25} = 74792412247510269868953464695902
T_{84,26} = 11315876413976034894672643991552
T_{84,27} = 1437450528446651381284063295596
T_{84,28} = 151876687001158475192212807234
T_{84,29} = 13212693287521331463186676086
T_{84,30} = 936507717608857202551476380
T_{84,31} = 53484562317965473252184438
T_{84,32} = 2428191902714965579690282
T_{84,33} = 85706574417528483503368
T_{84,34} = 2245026309167647131432
T_{84,35} = 39242332492344926208
T_{84,36} = 343400111086032000
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T_{85, 1} = 7596923559180398478751355640000
T_{85, 2} = 153112262144846252992364544000000
T_{85, 3} = 1484381329121756976006391652545650
T_{85, 4} = 9217818353333424018261461555478528
T_{85, 5} = 41192648672473932325202120205065486
T_{85, 6} = 141097333491126645799018001670520832
T_{85, 7} = 385283849116430460039894454596729084
T_{85, 8} = 861229937213535217705395046465537760
T_{85, 9} = 1605886528896910862205294486647358990
T_{85,10} = 2532650804937748150421641281571472372
T_{85,11} = 3413488967927026399630825546947216604
T_{85,12} = 3962596463409718666692339376036287294
T_{85,13} = 3985411518210265091153768058213078146
T_{85,14} = 3487898541897975070086687285539331624
T_{85,15} = 2664317689204919327957998049064636772
T_{85,16} = 1779928050205843202437988182101602772
T_{85,17} = 1041018017118557879177257340482709166
T_{85,18} = 533108020609974423841048953003423252
T_{85,19} = 238875420810100403911460108578336174
T_{85,20} = 93512337223442690295271929099196144
T_{85,21} = 31907338601540233050215846196454402
T_{85,22} = 9459080286847426750546605655174002
T_{85,23} = 2426420669089428525628205670055066
T_{85,24} = 535855338937688992017497931443412
T_{85,25} = 101262836519819499998360584616014
T_{85,26} = 16257231499181230772242017390676
T_{85,27} = 2198817716837196410898927791154
T_{85,28} = 248123686001903087573185743912
T_{85,29} = 23101838021529251981892911614
T_{85,30} = 1751856230507507565620409546
T_{85,31} = 106499841803078915331552290
T_{85,32} = 5079656734453354656949460
T_{85,33} = 183708375606250283245976
T_{85,34} = 4736478276569298675996
T_{85,35} = 76975181778138315264
T_{85,36} = 584252253081649152
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T_{86, 1} = 5471869484318198599405511493750
T_{86, 2} = 111184460620523398949324718080000
T_{86, 3} = 1086848604831378770688783340746000
T_{86, 4} = 6806141710735196623620876548308992
T_{86, 5} = 30676741632031289958523800250288864
T_{86, 6} = 105998859380816926396630195383859200
T_{86, 7} = 292040133373173931692770065640235300
T_{86, 8} = 658807700909613943058700291758361664
T_{86, 9} = 1240065778695662144069350008657160288
T_{86,10} = 1974806136290528805354552787454576288
T_{86,11} = 2688532305321473373474298387972382920
T_{86,12} = 3153808410667573379115589503859523672
T_{86,13} = 3206751554467618149560964882132253844
T_{86,14} = 2838718967953592228653837447393615458
T_{86,15} = 2194715629371851301908583821368392192
T_{86,16} = 1485046584714184783625676194071029474
T_{86,17} = 880451499135956441684698708779665840
T_{86,18} = 457507304715773606000192795050213144
T_{86,19} = 208251706536577841326098576463051878
T_{86,20} = 82928417969690083098451996746971706
T_{86,21} = 28828506726089848491751379981609284
T_{86,22} = 8722984314849398943840932342111824
T_{86,23} = 2288595490761686507750493301902142
T_{86,24} = 518143990081699305379977401346634
T_{86,25} = 100635619664293369899728810171098
T_{86,26} = 16648041350645452315920214672432
T_{86,27} = 2325451100816301852014325545942
T_{86,28} = 271367769354733213007222210432
T_{86,29} = 26106339926047293726556283306
T_{86,30} = 2035358513854260911067675726
T_{86,31} = 125666616722428266113551680
T_{86,32} = 5944292229300422177070810
T_{86,33} = 204664710117784542186680
T_{86,34} = 4703797980736742655724
T_{86,35} = 61148018957002273296
T_{86,36} = 301195470333542400
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T_{87, 1} = 11078846857138081114845726975000
T_{87, 2} = 227637085320991346039717888000000
T_{87, 3} = 2251874763356511810651324058142820
T_{87, 4} = 14282569937291182718453248845348864
T_{87, 5} = 65255597886084239556441717152171126
T_{87, 6} = 228773807695712743612374417505959936
T_{87, 7} = 640117120295191187835882697489385646
T_{87, 8} = 1467999599694376422203855664905927200
T_{87, 9} = 2812067999812071503587018145931287568
T_{87,10} = 4562567840703451717793195796728058776
T_{87,11} = 6336098838661073857677547594671279384
T_{87,12} = 7591219602259080378154490828900960418
T_{87,13} = 7893872726816434327459739046127152692
T_{87,14} = 7156611386884363783944429512288332388
T_{87,15} = 5675042369920855054363840386193398268
T_{87,16} = 3944729203703566032439032066001748980
T_{87,17} = 2406493356824616818498655580687043324
T_{87,18} = 1288933750140123613171295793551745550
T_{87,19} = 605843340724085425947469701712050832
T_{87,20} = 249593537584251384465946756805727498
T_{87,21} = 89941472829232437178335043839980000
T_{87,22} = 28267558472332093567678270604872772
T_{87,23} = 7719339433382826958195934392316814
T_{87,24} = 1822958121887490699601680538306082
T_{87,25} = 370127604029106425908863939018564
T_{87,26} = 64157642310786819502207471832794
T_{87,27} = 9414550243640617502262941554906
T_{87,28} = 1157741414336617914767223268792
T_{87,29} = 117867274644487962379282513816
T_{87,30} = 9787251972716686183630177212
T_{87,31} = 650373319487815914050144842
T_{87,32} = 33701502157070485297837990
T_{87,33} = 1309455869634455370333840
T_{87,34} = 35652652838196929096096
T_{87,35} = 593474736120126902640
T_{87,36} = 4238046396116679168
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T_{88, 1} = 5935096530609686311524496593750
T_{88, 2} = 123777487087778274694135808000000
T_{88, 3} = 1243489011773844215738441444407200
T_{88, 4} = 8014072364415530935083463094304768
T_{88, 5} = 37229054538179878124955933267581792
T_{88, 6} = 132793209813251482918465837471596544
T_{88, 7} = 378306896411278832159488201616586688
T_{88, 8} = 884016146126016346911021318242132992
T_{88, 9} = 1726914107241778846384858574642601316
T_{88,10} = 2859936008766057257699836644779632056
T_{88,11} = 4057852686693608527225641497123654634
T_{88,12} = 4972522530056971819052291691026834670
T_{88,13} = 5294842774211255621891560391880232996
T_{88,14} = 4921805564766468170625182891265389864
T_{88,15} = 4007313137318021618054232385943446596
T_{88,16} = 2864489253249008073119594148327310248
T_{88,17} = 1800178359714634030178469846509888992
T_{88,18} = 995192274624104480166073449221522338
T_{88,19} = 483874875765809277776174233607415756
T_{88,20} = 206718881338375325019447791010174710
T_{88,21} = 77466169810267155116039215250633184
T_{88,22} = 25401805960130454096399365308161076
T_{88,23} = 7264941699738970755642819531928426
T_{88,24} = 1804878114586514704549010263327228
T_{88,25} = 387576109249326964502025138662748
T_{88,26} = 71512630668897429842038302249908
T_{88,27} = 11258563999204494077136852925530
T_{88,28} = 1499992746063502164526519907968
T_{88,29} = 167496501844004766314497176544
T_{88,30} = 15495872652049797424407003274
T_{88,31} = 1170769764729559238681007000
T_{88,32} = 70862413276812568852261542
T_{88,33} = 3340302390912562616168966
T_{88,34} = 117181041387705982402096
T_{88,35} = 2826687706745726836608
T_{88,36} = 40250983037622111864
T_{88,37} = 232989961185273600
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T_{89, 1} = 470059645224287155872740130225000
T_{89, 2} = 9684752537213483541525744844800000
T_{89, 3} = 96101861795380045045647946752808950
T_{89, 4} = 611653347740944752147675191452631040
T_{89, 5} = 2805521811014194366286657303642715576
T_{89, 6} = 9878761096533359143768227870512971776
T_{89, 7} = 27776629229597541434409178399721151724
T_{89, 8} = 64049583048928851871191981001270268160
T_{89, 9} = 123440746087586699321768569488736474240
T_{89,10} = 201644181418178212159175304580964111344
T_{89,11} = 282147711915385924270391182408949348016
T_{89,12} = 340892208522968675671014295159328047808
T_{89,13} = 357818724044391282582198826973701754432
T_{89,14} = 327804424273792584370596449574253501050
T_{89,15} = 262988304077015460521112715508562058228
T_{89,16} = 185198732859514654036772786515617544582
T_{89,17} = 114638867940863597236413623848627196976
T_{89,18} = 62412286631739492236381414821577219688
T_{89,19} = 29879077482966255569839917899627379520
T_{89,20} = 12566409891701984482832947760633622258
T_{89,21} = 4635156343051687806152444144680883912
T_{89,22} = 1495732290740054068950775687353587192
T_{89,23} = 420874727435968628935056911029965396
T_{89,24} = 102837267024871447008722376745887100
T_{89,25} = 21707453501591480777232594779249024
T_{89,26} = 3933703925321379635800733803180632
T_{89,27} = 607333555186380394512945559756380
T_{89,28} = 79155112422354742981176938597182
T_{89,29} = 8610733224753236564397058027440
T_{89,30} = 770795294559165012625247890932
T_{89,31} = 55735264812193730157437765724
T_{89,32} = 3173395969588781616260385588
T_{89,33} = 136980479612039592864088880
T_{89,34} = 4213453766244215326063120
T_{89,35} = 82228500199287570943296
T_{89,36} = 764143044971079950208
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T_{90, 1} = 1239248155591302501846314888775000
T_{90, 2} = 26049162747810392768063209472000000
T_{90, 3} = 263879438987634224028395542196743800
T_{90, 4} = 1715673513544911315553781453895106560
T_{90, 5} = 8044624153441816758261527489708341798
T_{90, 6} = 28979238774149134343002485005025206272
T_{90, 7} = 83427753189759633586357243079041354158
T_{90, 8} = 197140172130902822653680774371261329952
T_{90, 9} = 389723512932149810608288077344105068156
T_{90,10} = 653684132084554126385448955614350745876
T_{90,11} = 940210894992642990421462163148772522426
T_{90,12} = 1169113097554001175086210168751139760344
T_{90,13} = 1264633093906532626240530107825677641288
T_{90,14} = 1195646802542428428116752044214250129782
T_{90,15} = 991508100727953733218286846239725620600
T_{90,16} = 722976067807391750595737755375706261698
T_{90,17} = 464277818283747031852591222623147493858
T_{90,18} = 262786395281018581618931354589949783030
T_{90,19} = 131105750735495315745380814578290198164
T_{90,20} = 57617048421072072787661566647442397398
T_{90,21} = 22274440850516382603353450719933399116
T_{90,22} = 7559682046434938452364438339812152988
T_{90,23} = 2246185500075678621340842244089345728
T_{90,24} = 582255035363881309748869551415819788
T_{90,25} = 131111841202690801598655123171885476
T_{90,26} = 25514989378150934854117741645374288
T_{90,27} = 4265104981729101586410417417934224
T_{90,28} = 608052457072385695387270875507552
T_{90,29} = 73312623453533329918450888782768
T_{90,30} = 7400823123743622251916105582694
T_{90,31} = 617772550227227168633379442786
T_{90,32} = 41941280314163440719953183894
T_{90,33} = 2261076415466278056344221734
T_{90,34} = 93183347540330134974806694
T_{90,35} = 2749289793537730955431200
T_{90,36} = 51211107793047154365076
T_{90,37} = 443459072858580715776
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T_{91, 1} = 608358185472093955451827309035000
T_{91, 2} = 13086451437702972650509303808000000
T_{91, 3} = 135772367731483486735030065250522500
T_{91, 4} = 904877939429128496003699851723800576
T_{91, 5} = 4353167907563179001609131361493954072
T_{91, 6} = 16104630992081578707541065166895513600
T_{91, 7} = 47663472904379173964894389984088627166
T_{91, 8} = 115914753269622873723185801463267272320
T_{91, 9} = 236112294211417185072324076827057634058
T_{91,10} = 408577492248428038466704526344670409520
T_{91,11} = 607102808109824059916435521368567526188
T_{91,12} = 781005413558321730551222683294212853506
T_{91,13} = 875390255590228185376682868172063245218
T_{91,14} = 859040074803269485072673356042430746358
T_{91,15} = 740755618785125634038730451960727143128
T_{91,16} = 562774332318552956671758466921061131696
T_{91,17} = 377364500317402881178645537878032700984
T_{91,18} = 223556806334445272534161653400457973294
T_{91,19} = 117041124050842184223418720946997796034
T_{91,20} = 54130879966171951473627828861046767532
T_{91,21} = 22093176566176119741616221008959354926
T_{91,22} = 7944185079746398879518541126946653782
T_{91,23} = 2510783723903996936441387885208128992
T_{91,24} = 695411071113393274266039581446853070
T_{91,25} = 168172208714732069470292213489938068
T_{91,26} = 35354946176635078591339276679972050
T_{91,27} = 6428632329575292084355370980529182
T_{91,28} = 1005138841023559685766143828396490
T_{91,29} = 134246165852294666988393680595038
T_{91,30} = 15201790453748911497516909396864
T_{91,31} = 1446908480714199184607556834468
T_{91,32} = 114528463938040274506923270330
T_{91,33} = 7430208039212819248524318504
T_{91,34} = 386391075671752396999948892
T_{91,35} = 15517116345176970450275342
T_{91,36} = 450607214151612332734696
T_{91,37} = 8346871775320579886880
T_{91,38} = 72910428568024140288
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T_{92, 1} = 486847489696583125725337992018750
T_{92, 2} = 10425918815892023621899257905152000
T_{92, 3} = 107671138309176112580871389116263750
T_{92, 4} = 714182485873332267478243770222772224
T_{92, 5} = 3418939380682813520283480766464542116
T_{92, 6} = 12584598622982679300843238903974850560
T_{92, 7} = 37052183518870592889841681545582996098
T_{92, 8} = 89628345069608942692236729589677814528
T_{92, 9} = 181570842010802380816571792092892676316
T_{92,10} = 312442352365061684614857167010473440224
T_{92,11} = 461614487182546300897831321220438488590
T_{92,12} = 590412698403244975273233985990606974326
T_{92,13} = 657903674276416807386108891625380712282
T_{92,14} = 641834007882794146760373078463979182426
T_{92,15} = 550227355308766620026257741174542923786
T_{92,16} = 415617058775810054740374046558563953058
T_{92,17} = 277125843662077013538799108188818679072
T_{92,18} = 163291946461109473378383401799173703722
T_{92,19} = 85060652993287383383536125611064107844
T_{92,20} = 39161674580406114758232611281020457142
T_{92,21} = 15921608550132400330506834360322528420
T_{92,22} = 5707792121227705849924647488514550674
T_{92,23} = 1800551738318816624151155004777765438
T_{92,24} = 498465001545045317556770171046362592
T_{92,25} = 120702920484741696588422469539129696
T_{92,26} = 25464367440412258376958922679607262
T_{92,27} = 4658608167115982921411815955073760
T_{92,28} = 735078144835285490888474729060518
T_{92,29} = 99409384426537864823732115294602
T_{92,30} = 11436947856128065454677002663180
T_{92,31} = 1109288693943828828379479032798
T_{92,32} = 89648780887621823110665725168
T_{92,33} = 5939259672847385253046184896
T_{92,34} = 314773693844414816803979768
T_{92,35} = 12835161490873184125800180
T_{92,36} = 376845577666039527793988
T_{92,37} = 7032627309727295926464
T_{92,38} = 61670756517793313280
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T_{93, 1} = 961485637958769182466968448187500
T_{93, 2} = 20957091785356805967780302028800000
T_{93, 3} = 220424242228746041673474787097010000
T_{93, 4} = 1490078386085886060530371816115404800
T_{93, 5} = 7275275823957449483521136438017809742
T_{93, 6} = 27333656231275051905888822186022086656
T_{93, 7} = 82213070975128442352092602123770670830
T_{93, 8} = 203347348338856534460762178061899746688
T_{93, 9} = 421633132580280831726512250632018758982
T_{93,10} = 743393959046349881574014847051786566464
T_{93,11} = 1126662356320257927036305106864972283816
T_{93,12} = 1480077481745183096687763828045893285208
T_{93,13} = 1696307895462976111927991616059865411034
T_{93,14} = 1704646993243501572326538465389751635782
T_{93,15} = 1507798440330292597171303406858207266846
T_{93,16} = 1177273422011605955005266765959571100090
T_{93,17} = 813058613051260272228624613325904322380
T_{93,18} = 497331882488467737275772088552239631318
T_{93,19} = 269610628049616127786459745645503599096
T_{93,20} = 129545009426691986909540618960027277492
T_{93,21} = 55141844429509955161568589826205390338
T_{93,22} = 20771704295425882797798219344702774102
T_{93,23} = 6913929953828703038731468827107084560
T_{93,24} = 2029352895895827271337840370412473298
T_{93,25} = 523939422774880651674221141146839062
T_{93,26} = 118633703727771338659913115006451600
T_{93,27} = 23477979290798183810542594799579398
T_{93,28} = 4045516110202266089444417546762182
T_{93,29} = 604339910202810959105174636886720
T_{93,30} = 77884967747637713566650536002352
T_{93,31} = 8608671508400576724937682878858
T_{93,32} = 809830499046444564790000426906
T_{93,33} = 64128538216125294812061247812
T_{93,34} = 4203327703314348399632825540
T_{93,35} = 222069118508891561645895598
T_{93,36} = 9064787366030095933672560
T_{93,37} = 266696736355139024532644
T_{93,38} = 4985469752532173367840
T_{93,39} = 43881832329854515200
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T_{94, 1} = 475045126309999292374420707363750
T_{94, 2} = 10527067371197165312661258240000000
T_{94, 3} = 112616432967827381472420623124966000
T_{94, 4} = 774655688608935605653035823268364288
T_{94, 5} = 3850415368264769804965525225443542666
T_{94, 6} = 14734202541171116529438914764466749440
T_{94, 7} = 45161111039764856788406425032388896540
T_{94, 8} = 113892168530474266184911898138858860608
T_{94, 9} = 240919628414621529772988287499103681906
T_{94,10} = 433614678828998922422049012835312178616
T_{94,11} = 671286305386930246985477249150280219448
T_{94,12} = 901418980883570588863579474340036880492
T_{94,13} = 1056802081484364491686187469428790633578
T_{94,14} = 1087201099149794115254427692144607471178
T_{94,15} = 985299839498699127642274254363127784844
T_{94,16} = 788935848766619940694118466406506060992
T_{94,17} = 559299782238213951289064976063833864810
T_{94,18} = 351544839054888955153038149336477048480
T_{94,19} = 196054027868290409627498915264007652572
T_{94,20} = 97029411849672465961117131982441909998
T_{94,21} = 42599507311015503781554605295437589466
T_{94,22} = 16576918696681543974877997339043605190
T_{94,23} = 5709846371055500756815931442218148572
T_{94,24} = 1737823504158734977132753348562131498
T_{94,25} = 466363768530954335300624803458685942
T_{94,26} = 110084920379417834501222276861793960
T_{94,27} = 22796693850982912977381378004119186
T_{94,28} = 4130275547381072331589346701244026
T_{94,29} = 652968628918855142229040589450082
T_{94,30} = 89846836075183051049472920217574
T_{94,31} = 10731970339535201306740300204096
T_{94,32} = 1109135830207636980172098568152
T_{94,33} = 98635146290457855155774112436
T_{94,34} = 7471303654230570807262387412
T_{94,35} = 473311221467818372389637286
T_{94,36} = 24328181377675899674520178
T_{94,37} = 967359146046520872250864
T_{94,38} = 27597884018072826381744
T_{94,39} = 495091155389512287936
T_{94,40} = 4112557435744665600
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T_{95, 1} = 656072552960101324506872588175000
T_{95, 2} = 14489948459573790117127310540800000
T_{95, 3} = 154464486867907911648516379129765200
T_{95, 4} = 1058566998594307303620000515849453568
T_{95, 5} = 5240883038419215494059998023618569616
T_{95, 6} = 19971152655327895848322236252425625600
T_{95, 7} = 60939578204523609997822918516062034284
T_{95, 8} = 152950302670834989801950211896926137344
T_{95, 9} = 321881620736291185028445149210502121898
T_{95,10} = 576131277751050615409249281644448822872
T_{95,11} = 886588117236779341461290803414975758668
T_{95,12} = 1182808106674305680933246241527657595304
T_{95,13} = 1376895393628098948405531759185321620312
T_{95,14} = 1405552789259540170442511562299663518640
T_{95,15} = 1263000195986893233485621171809299525524
T_{95,16} = 1001823381385748416422428760779648608236
T_{95,17} = 702851328620808632132121632579696453242
T_{95,18} = 436664328607722239303046823771570774660
T_{95,19} = 240367007669063153224324015261150799412
T_{95,20} = 117219070837108590762279280928636285710
T_{95,21} = 50606242988423548664077070584456644830
T_{95,22} = 19315865863325325925142848242722299336
T_{95,23} = 6505525342612559899283619074354176778
T_{95,24} = 1928342541364088350845366614886759906
T_{95,25} = 501417562065251886587947112638915042
T_{95,26} = 113916780791371064337090220519391882
T_{95,27} = 22503622648843621016035258570907370
T_{95,28} = 3843209685373793114432046313283526
T_{95,29} = 563562617656458719096491238299190
T_{95,30} = 70381232624423267862630166347020
T_{95,31} = 7412703435857297752031154359058
T_{95,32} = 650533383992728753054256297526
T_{95,33} = 46849746974432254268607500770
T_{95,34} = 2713356553675720116383642756
T_{95,35} = 122842649327393383562842204
T_{95,36} = 4166532179547644848170102
T_{95,37} = 98837550440895386904136
T_{95,38} = 1448242951947498751104
T_{95,39} = 9824019099048000000
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T_{96, 1} = 929436116693476876384736166581250
T_{96, 2} = 20945317981777210973866227138560000
T_{96, 3} = 227990324598871170229805438096475150
T_{96, 4} = 1596646238987211393129302304966574080
T_{96, 5} = 8084512704641947769528938739565890168
T_{96, 6} = 31534905623046661165893517323200765952
T_{96, 7} = 98589962928391278817814470015380043032
T_{96, 8} = 253783108834013771566243107571204148176
T_{96, 9} = 548344254279433924137428612387603636980
T_{96,10} = 1008843250159845391272616015934850687236
T_{96,11} = 1597747912304275571569658197002933171790
T_{96,12} = 2196680221909638741445187007028941476110
T_{96,13} = 2639064854316335845456347136258179231412
T_{96,14} = 2784694783941414675001104380903270980120
T_{96,15} = 2590964719004319028775934208169843076070
T_{96,16} = 2132029934214048241496155884134746968902
T_{96,17} = 1554914058417797436221459456444305588222
T_{96,18} = 1006516357851078436015466574434120545820
T_{96,19} = 578729168930291027572577959542961279460
T_{96,20} = 295630847632640049748605266813514728632
T_{96,21} = 134115699798619260288884386609646861980
T_{96,22} = 53984050801891988043662101635397468088
T_{96,23} = 19252037109205494408422688852939677042
T_{96,24} = 6070879103661336904683325286299417008
T_{96,25} = 1688471592908326161404351115481857864
T_{96,26} = 412919098557954729447381055632339286
T_{96,27} = 88465461522227039865919524870517030
T_{96,28} = 16533224773551842278290347232266574
T_{96,29} = 2681966940417170030743096210307314
T_{96,30} = 375444526443715575624483606164688
T_{96,31} = 45047544293540819978741984113562
T_{96,32} = 4594540191496428079917059435754
T_{96,33} = 394214074637179326458333899742
T_{96,34} = 28063192024707405255792081130
T_{96,35} = 1625933133045170937046405718
T_{96,36} = 74570634990832340278064866
T_{96,37} = 2597834319546731564132704
T_{96,38} = 64488424119502567808520
T_{96,39} = 1021704899644111411200
T_{96,40} = 7960097945124864000
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T_{97, 1} = 44612933601286890066467335995900000
T_{97, 2} = 1003647785052858123511293542400000000
T_{97, 3} = 10906686918056635511722678807910244450
T_{97, 4} = 76260131153672286248491635698086969344
T_{97, 5} = 385555194911087077322939549286259928704
T_{97, 6} = 1501758850161431963267023438078224097280
T_{97, 7} = 4688667708970701573935491919158381131180
T_{97, 8} = 12053660904088380081515818712336735110624
T_{97, 9} = 26012301601804763255878290290874358366080
T_{97,10} = 47801902154297494692810451667817453656868
T_{97,11} = 75621968580536089371907539490954228252972
T_{97,12} = 103858118206347495649634341377341020157690
T_{97,13} = 124641898662914495677366915651123947955704
T_{97,14} = 131379020321615768516210790576034056199470
T_{97,15} = 122101709185267899147221783487290700580524
T_{97,16} = 100350790287420134700812788345441503045846
T_{97,17} = 73084924940761636861627758197356196208800
T_{97,18} = 47230810849938837788066492038229031576968
T_{97,19} = 27102156912751938088485576622374339108060
T_{97,20} = 13809578383782958912222844000097298985232
T_{97,21} = 6244683647459093331375370933361000899392
T_{97,22} = 2503177607124790245141138398473372445700
T_{97,23} = 887897368492168758495555748701939158604
T_{97,24} = 278033492930969759271137462959421672212
T_{97,25} = 76628937463596341886987533520279631440
T_{97,26} = 18520840708935932591252046674888676026
T_{97,27} = 3908527997300681336135730597541163260
T_{97,28} = 716570200825217896739475921002580732
T_{97,29} = 113477352629490861268340440734306584
T_{97,30} = 15424553431231085654053397127335226
T_{97,31} = 1787405629375081857308807949471624
T_{97,32} = 175351985332830941895593791327220
T_{97,33} = 14463120727399290101019489630592
T_{97,34} = 995826236152342256667098424702
T_{97,35} = 56720007298990040725447006128
T_{97,36} = 2629729827578842997240467930
T_{97,37} = 95976855148010639084878440
T_{97,38} = 2577231755873616521193164
T_{97,39} = 44565345806802231973920
T_{97,40} = 362940518226567600000
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T_{98, 1} = 52977858651528181953929961495131250
T_{98, 2} = 1202656943896769881362627821568000000
T_{98, 3} = 13193444128838110959712274855296119000
T_{98, 4} = 93166912441345884603602298268658171904
T_{98, 5} = 475949984261849341626657590426238237110
T_{98, 6} = 1874207086116826947485183560640653148160
T_{98, 7} = 5919219665984185021903453436919844214454
T_{98, 8} = 15403266638711418693115294844341319138304
T_{98, 9} = 33671523501688376032667879286726090787314
T_{98,10} = 62728523113063327975648098559666799508624
T_{98,11} = 100690703229279000103057257524690599740940
T_{98,12} = 140454335717505542022946801255340495135640
T_{98,13} = 171394794628749927193550623113085326636560
T_{98,14} = 183927610217758965633254677471509732821808
T_{98,15} = 174281937362695705422833239026874179677238
T_{98,16} = 146275249328299896801735198835701744039520
T_{98,17} = 108995996235339711652144198084377139478992
T_{98,18} = 72223347159123633437006516710919779397496
T_{98,19} = 42600063321943241421690554277499400092778
T_{98,20} = 22377091500933537271605419643483268991456
T_{98,21} = 10467138779933222517756472466342612449200
T_{98,22} = 4357537808962920442500312589805378836616
T_{98,23} = 1612862518354361245830902136235277320630
T_{98,24} = 529971277239198658790558654037858597312
T_{98,25} = 154300095802428613794596821895383065730
T_{98,26} = 39710321036220623921617657310772714640
T_{98,27} = 9008027154165234412194936241886221452
T_{98,28} = 1795162792415189094764070387363686792
T_{98,29} = 313083226881785440177501049949621032
T_{98,30} = 47574102099829194977626950336637932
T_{98,31} = 6265832916332900820091554589659130
T_{98,32} = 710835958919261269803719611280768
T_{98,33} = 68920831119011853569351654324070
T_{98,34} = 5653275570317992873929542068168
T_{98,35} = 386932172836652261577970005236
T_{98,36} = 21679915547268480616103586360
T_{98,37} = 968084217463766723113040504
T_{98,38} = 33158437065383612556388128
T_{98,39} = 822818497793999006013480
T_{98,40} = 13398538229897671065600
T_{98,41} = 111361287644006400000
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T_{99, 1} = 98107145650978114729499928694687500
T_{99, 2} = 2248699806671995704627530710384640000
T_{99, 3} = 24914167299818202826662185797983096750
T_{99, 4} = 177732656478912482166603765729258897408
T_{99, 5} = 917501929204993549558105678083155169624
T_{99, 6} = 3651995102450396351948367632244157956096
T_{99, 7} = 11662047697174648238206369718591199670336
T_{99, 8} = 30694155455043169157713975960813900762624
T_{99, 9} = 67885448579191043584249851852350812493466
T_{99,10} = 127994765234687444198260643612529789222432
T_{99,11} = 208005629440473433985576459269227799387496
T_{99,12} = 293851164909297988805926681519081310134256
T_{99,13} = 363283987243715867316582152612592476820276
T_{99,14} = 395095816671548722893966430210643340975846
T_{99,15} = 379546029597257538340481654028939253602300
T_{99,16} = 323062329741231003281718629173111134751746
T_{99,17} = 244214067735633632215619264350132489133286
T_{99,18} = 164215653053329267067562162018905566440242
T_{99,19} = 98320132763067601991586447553173456496874
T_{99,20} = 52436060578039609098409420982668752374472
T_{99,21} = 24906956578513691446982638176944910826814
T_{99,22} = 10530190078279746302981723826144871163794
T_{99,23} = 3958074970944331488487514646535715454870
T_{99,24} = 1320567085005452430575259370573757701582
T_{99,25} = 390258816616672944672305643554816344184
T_{99,26} = 101891874122586684841786098558341889356
T_{99,27} = 23431089704306986829137545601367303124
T_{99,28} = 4729096979605118132551498425164319514
T_{99,29} = 834376522091241396890646007930016646
T_{99,30} = 128117795558277282903376329193591748
T_{99,31} = 17036286855392671409644711617319042
T_{99,32} = 1950984764271616498069687275223910
T_{99,33} = 191180976070460650084090857506922
T_{99,34} = 15901209945327184228709220757918
T_{99,35} = 1110045635078357549100999172252
T_{99,36} = 63948183075455478035840912080
T_{99,37} = 2959666592195133574695229552
T_{99,38} = 105370473082169860587966346
T_{99,39} = 2684292640502820953292584
T_{99,40} = 42897387259304878917924
T_{99,41} = 315937460494104422400
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T_{100, 1} = 58864287390586868837699957216812500
T_{100, 2} = 1370374038724660476339650822144000000
T_{100, 3} = 15428348449380845463676976115155212500
T_{100, 4} = 111898857329673700833326794445772816384
T_{100, 5} = 587600721858424372002093684633926166840
T_{100, 6} = 2380490151495191648256776684145064968192
T_{100, 7} = 7741570234419295635830577707901092373936
T_{100, 8} = 20763437399415360408157396992035179651328
T_{100, 9} = 46826952782513409916813549948725936546146
T_{100,10} = 90092662290837636001575602418477403025808
T_{100,11} = 149509842684035166619344333679373726589802
T_{100,12} = 215852611578805524100300528063174482576002
T_{100,13} = 272940813063308317767169578638282850085020
T_{100,14} = 303874889594863655725100382466965944128914
T_{100,15} = 299107167857055792834225641230000498883960
T_{100,16} = 261121060197973937057188979708641607468278
T_{100,17} = 202659782225541888173658491828451533554594
T_{100,18} = 140064259884847974100845260125524203585818
T_{100,19} = 86292674005975207312791056124045200437372
T_{100,20} = 47414735612150165389250197224986090812968
T_{100,21} = 23233882362585138799350509504420373132090
T_{100,22} = 10147469782724009712517053310279506359714
T_{100,23} = 3946123019472236703333507839465607692006
T_{100,24} = 1364292987316806403132436681638172246798
T_{100,25} = 418525581082449946489095437513823292066
T_{100,26} = 113654013032776834077915739788115299556
T_{100,27} = 27246207353285729593131300856992234290
T_{100,28} = 5748736943526955851809657062501120272
T_{100,29} = 1064168699935418163430718524942673556
T_{100,30} = 172300745518341371144282563879236176
T_{100,31} = 24336153655404910827512898513031580
T_{100,32} = 2992952465677237002788119409561974
T_{100,33} = 320234176798585189125821878186132
T_{100,34} = 29802647315684561933561445845176
T_{100,35} = 2409003869809958619543169164402
T_{100,36} = 168045924466952598690272247056
T_{100,37} = 9949650707541458279120992834
T_{100,38} = 484346927252302607920496180
T_{100,39} = 18414740989735773433114128
T_{100,40} = 505287775253277623296818
T_{100,41} = 8757450941327870659072
T_{100,42} = 70775035042973184000
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T_{101, 1} = 4414821554294015162827496791260937500
T_{101, 2} = 101993312932264753569988708663296000000
T_{101, 3} = 1139468257613193324232184426808282683250
T_{101, 4} = 8200451097466497712322855505056105496576
T_{101, 5} = 42727082270498471821773328265105225019648
T_{101, 6} = 171741970487117314357234735456950377103360
T_{101, 7} = 554127598488164372214279443682935928835044
T_{101, 8} = 1474463276829400462372432877747692662925824
T_{101, 9} = 3298909441980131085704744359800175693408496
T_{101,10} = 6296408499984210334383459098185921681360256
T_{101,11} = 10365635882854824182497569692921890377730860
T_{101,12} = 14845875617453199442920933038365659386372332
T_{101,13} = 18622875299130990841103087515780805493739552
T_{101,14} = 20569332843517768899154270154768230986959868
T_{101,15} = 20087669597058236776830071559586631927385528
T_{101,16} = 17400771958015526496766029677141326155701960
T_{101,17} = 13402483877192784980787476493817264072067592
T_{101,18} = 9194528401199211124484269985890262747409778
T_{101,19} = 5624532091997625585255707733044811391425344
T_{101,20} = 3069747272568518647475110119880683152601906
T_{101,21} = 1494872561104546587774192314367844695965920
T_{101,22} = 649246779790625087254846037786079387616982
T_{101,23} = 251269740228886098322326918541143550429572
T_{101,24} = 86541423943387101166271352266127432863774
T_{101,25} = 26479015959380187907638422561002039586648
T_{101,26} = 7181705342951186389841005308562637314950
T_{101,27} = 1722138249594944990714771325662200747232
T_{101,28} = 363997150751239340060808635812614192090
T_{101,29} = 67575272424407896052041892498094693840
T_{101,30} = 10974234103936644861914590680709528732
T_{101,31} = 1551669301594756026002118719724534500
T_{101,32} = 189928065888077028878857176769790088
T_{101,33} = 19981724113777302803925329791809760
T_{101,34} = 1789776372321374591076336586977536
T_{101,35} = 134683499358003052016138517688332
T_{101,36} = 8352343402503213626748931478900
T_{101,37} = 414786744155009194625347194112
T_{101,38} = 15788069063930794141475655264
T_{101,39} = 429248401240843300879437504
T_{101,40} = 7341915800715554717269632
T_{101,41} = 58482349709387433984000
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T_{102, 1} = 9324103122668960023891673223143100000
T_{102, 2} = 218077967697788482124463619440640000000
T_{102, 3} = 2467228586145211928402965829766118954500
T_{102, 4} = 17986183562153664230127275913069755105280
T_{102, 5} = 94958126808689462041171713211353426373268
T_{102, 6} = 386877227435156542934350732732351710956544
T_{102, 7} = 1265672788152591508099542934879089709214982
T_{102, 8} = 3415975494610920436014849191317681939905536
T_{102, 9} = 7754997125891100789044219877384307521903492
T_{102,10} = 15024604408089527031786585731239110137091712
T_{102,11} = 25117726471533795851631749035145555382952180 
T_{102,12} = 36546532020395109396768036433643290434218220
T_{102,13} = 46594047700230971105436772204337101208265986
T_{102,14} = 52328585473747761567908187055583424164337706
T_{102,15} = 51984949251571320481056178067132035041962142
T_{102,16} = 45828932223750701254196665668981120109823004
T_{102,17} = 35939270655147757876983576666834925990900140
T_{102,18} = 25113419951460085314816146649039320397427126
T_{102,19} = 15653706730167419997276008556692541177167946
T_{102,20} = 8708054878094673631008822026659002937040910
T_{102,21} = 4323148565442749341893760655632684631254698
T_{102,22} = 1914294179800664769888759879455621456991708
T_{102,23} = 755222347448311347469295778088817312873906
T_{102,24} = 265030767323471391982681306016229342125256
T_{102,25} = 82552545972512546218567259074388872791106
T_{102,26} = 22760327801862041706174852844822928286944
T_{102,27} = 5535568357728160450646949003203944906498
T_{102,28} = 1182748386946178137552457100031816605830
T_{102,29} = 220915424664641609416601344383094911478
T_{102,30} = 35859914582222281864159564851218717236
T_{102,31} = 5023411745020283690321944021342891664
T_{102,32} = 602217423840640834872067502136419912
T_{102,33} = 61161294274147763462984486897801034
T_{102,34} = 5197344345633973791773239677362512
T_{102,35} = 363842103347481894527381578754236
T_{102,36} = 20563982758243799745816724753160
T_{102,37} = 912869921010208970956283923830
T_{102,38} = 30569162991489304506914730910
T_{102,39} = 723140362803346305973988096
T_{102,40} = 10672776709968904056986896
T_{102,41} = 72106698536745126912000 
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T_{103, 1} = 445808680552609651142320625981529468750
T_{103, 2} = 10456721927696503798183609008914432000000
T_{103, 3} = 118669717318448975766483661547637928387500
T_{103, 4} = 868015142689929143513002758985639627063296
T_{103, 5} = 4599348581934131507872486382009712066044092
T_{103, 6} = 18812182195798497422543989023129240877793280
T_{103, 7} = 61805009046583617447010418252038535844057408
T_{103, 8} = 167570239872575832360890901683158653277776640
T_{103, 9} = 382294108292560016290245929420376272662841248
T_{103,10} = 744591384618908637503639699710876129499076672
T_{103,11} = 1251906688071711058042887236453044680752968848 
T_{103,12} = 1832762017728583026229006820669043207203259932
T_{103,13} = 2352154345737372776296549105130464585410507300
T_{103,14} = 2660569701810065622011160555863771160389006686
T_{103,15} = 2663534481052994185847410061607044524500365552
T_{103,16} = 2367735365323401918067086951270160594808509932
T_{103,17} = 1873568262955829533979561034744760820488353792
T_{103,18} = 1322019758102641032683596886842527179694395570
T_{103,19} = 832803477905882587153891553152618443155189496
T_{103,20} = 468645789230261227761547992135474622786011006
T_{103,21} = 235602381337666434564664845184207228195929100
T_{103,22} = 105771026051277675859502037143863603742125890
T_{103,23} = 42365750760549809473675326758865412208919040
T_{103,24} = 15119053961142978922592404248098775255794728
T_{103,25} = 4798281844258881193318708098263111539562508
T_{103,26} = 1351055833312528575549116238454382129754684
T_{103,27} = 336543232559708259264693670027030140724112
T_{103,28} = 73911689060813952622491750848251229913600
T_{103,29} = 14255353831092105246810464136123068292836
T_{103,30} = 2403693722884301695505141723697602220630
T_{103,31} = 352539578737637056000412900767775645856
T_{103,32} = 44718751216964097199677889666823989092
T_{103,33} = 4874709251034207914552859396574504040
T_{103,34} = 453327788807391517566782523303972864
T_{103,35} = 35651047683172216121566534069035904
T_{103,36} = 2343975189503162400593269543480740
T_{103,37} = 126722407056823571715604821329820
T_{103,38} = 5488396806037070557656068895240
T_{103,39} = 182407092892738506403983504128
T_{103,40} = 4322391906075044938462626048
T_{103,41} = 63760910501777847072405120
T_{103,42} = 426232319131812001536000 
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T_{104, 1} = 481568735142391173961223349990743062500
T_{104, 2} = 11292866363943260791811786177249280000000
T_{104, 3} = 128135511460882167613530476759595113152500
T_{104, 4} = 937132867156169752181368661005181921525760
T_{104, 5} = 4965226337033108647896640967046290209609018
T_{104, 6} = 20308448047411400065809733909330071120248832
T_{104, 7} = 66724229120350637004595617713680287578664690
T_{104, 8} = 180929037961254821871726943366640634571298816
T_{104, 9} = 412849241383961648319936530060100318684742380
T_{104,10} = 804317440234834123262383257545711239043534144
T_{104,11} = 1352796547594295139694753063388408764827514672 
T_{104,12} = 1981325531853571619690593705739834695651286340
T_{104,13} = 2544170404283509858843182943692499212470624360
T_{104,14} = 2879591212857832594602256575055165812813189136
T_{104,15} = 2884962365989674127175703067411260716384378676
T_{104,16} = 2566824073715471374593512271577961416468539108
T_{104,17} = 2033181469239384681893243016778277344295126660
T_{104,18} = 1436348353869825826591741611070357244337872832
T_{104,19} = 906071830952887735941713188580129783401722290
T_{104,20} = 510694402962385453729633819639334897991686372
T_{104,21} = 257223131582975819133456399706799212650325380
T_{104,22} = 115732363272701284248519947181507094691915840
T_{104,23} = 46477152305096017509533339155158995411691036
T_{104,24} = 16638401220284666634477984677426182703634228
T_{104,25} = 5300598560851785705575833409757187850374208
T_{104,26} = 1499483065114881574532881525636177243803632
T_{104,27} = 375693852786907178193045583610686971322500
T_{104,28} = 83116908514213135314123068999968924278240
T_{104,29} = 16181377379708617810407063164968162361650
T_{104,30} = 2761540361158073444139762580732167974832
T_{104,31} = 411411632157583277247449827164280350296
T_{104,32} = 53260921608619902019713092927059872160
T_{104,33} = 5961575556039177491675425204635773382
T_{104,34} = 573589477390570316844658516172048400
T_{104,35} = 47087849482563195740115838910517128
T_{104,36} = 3263550931842528558723592819087644
T_{104,37} = 187839875221069121060686632319350
T_{104,38} = 8742119340000262619908197790080
T_{104,39} = 314984295409847091225455703564
T_{104,40} = 8173292901525305338068368224
T_{104,41} = 133973220359154355160605440
T_{104,42} = 1020277930319336104416000 
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T_{105, 1} = 1412601623084347443619588493306179650000
T_{105, 2} = 33845225974457624177996288218890240000000
T_{105, 3} = 392594275663605899106904644657257721984750
T_{105, 4} = 2937110655241059526978655281559124546945024
T_{105, 5} = 15928744588945816244500876791400944026199540
T_{105, 6} = 66732561112899516077641116396484535366025216
T_{105, 7} = 224737911905792020900242739884234460284558194
T_{105, 8} = 625123011662249025595688557099313646564967680
T_{105, 9} = 1464425123897340699920068411094601087310685920
T_{105,10} = 2931560979838588247538646372662076334405681568
T_{105,11} = 5071102901723761399729029263345650704681263614  
T_{105,12} = 7646361045704071634760536749825107123429690772
T_{105,13} = 10118943693916353592348332597791914702256048608
T_{105,14} = 11816917321398157240912519162119777897278326224
T_{105,15} = 12230066190898432508697118689598132139514919442
T_{105,16} = 11255662323470364927403986648051506819238108588
T_{105,17} = 9235327038667671617821867027672807400197400032
T_{105,18} = 6768617789736293647127994143239858626985459082
T_{105,19} = 4436925861598469127317218525791056644007612914
T_{105,20} = 2603347567480293220252339358203391180055514152
T_{105,21} = 1367622625344692145434782289891581483889253756
T_{105,22} = 643125707172350477767731860939467462393924710
T_{105,23} = 270541991952061183341800645883767773350253102
T_{105,24} = 101695720993990542608391623235128960329573566
T_{105,25} = 34105698396361539227731132887774659171879222
T_{105,26} = 10184519303394823130649813504153584056233614
T_{105,27} = 2701345474584968823669678130190232563642628
T_{105,28} = 634576145586404478263377106512597256086152
T_{105,29} = 131580030047395152402960695168346758110470
T_{105,30} = 23990581212991095819927518725797623732714
T_{105,31} = 3829916643309772331457063108564595364708
T_{105,32} = 532860520265459317400126764237776246606
T_{105,33} = 64287933903764575802041368907294438670
T_{105,34} = 6689366041660694897646577823849429758
T_{105,35} = 596737433311152609284839485402909542
T_{105,36} = 45313956947522077461520360367073764
T_{105,37} = 2900952670264472727596110901752836
T_{105,38} = 154253454832361683078466668727706
T_{105,39} = 6645889467976266403279193681196
T_{105,40} = 222497623594557156081439250016
T_{105,41} = 5390675409139563037765600704
T_{105,42} = 83028224243001163228815744
T_{105,43} = 600826975391362549294080

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T_{106, 1} = 450093654414130312918006137573047437500
T_{106, 2} = 11002387942865877177224882564156620800000
T_{106, 3} = 130292657257354495666938079032740061037500
T_{106, 4} = 995814216284900738642854861397739800887296
T_{106, 5} = 5521206830075920471312455053393582603452610
T_{106, 6} = 23665486856201911686097989025613363179782144
T_{106, 7} = 81607459484001634294696556591182647488594058
T_{106, 8} = 232630871681578477127209650231688245272955648
T_{106, 9} = 559002448558843673537401200476429495273270020
T_{106,10} = 1148980453818310758394517106747034436514844224
T_{106,11} = 2042840895726968808163180681187879951433798220
T_{106,12} = 3169481671621923241398067801446270188241664864
T_{106,13} = 4321035365817367319356173048646513559459553640
T_{106,14} = 5205142168564355801661332146896762305973860710
T_{106,15} = 5564580535205250867220908609974603154790911946
T_{106,16} = 5297818544186606496995864436570854157195928976
T_{106,17} = 4504027571109109898983082109531861038585662456
T_{106,18} = 3426346049410018638647165453572477475723785236
T_{106,19} = 2335727216698959594046093112366721652544333656
T_{106,20} = 1428175987629794449839116381329982078374616692
T_{106,21} = 783628775903127971670731928690715685355499236
T_{106,22} = 385846080294163101966005063523608478622362136
T_{106,23} = 170417267206901287677033590683091257121402466
T_{106,24} = 67460548084365723465026286554705711809131184
T_{106,25} = 23904906691225781631272367773202318070930878
T_{106,26} = 7570307747244841761073928820255572144265898
T_{106,27} = 2138168687792351933487896668398524340530926
T_{106,28} = 537290876218413993508854196108012551130022
T_{106,29} = 119778647750600503946847982409256254365782
T_{106,30} = 23612752653914211352194470210119925723340
T_{106,31} = 4101550245484495663957008654563745210884
T_{106,32} = 625287753780194137508780286928184772034
T_{106,33} = 83314265072689008180328335696343904602
T_{106,34} = 9659133631465393705183992958010799484
T_{106,35} = 969786222596077577519620669666864444
T_{106,36} = 83868859863751997736317172216791600
T_{106,37} = 6204818871433044940008398315754316
T_{106,38} = 388718784967743073650963924994426
T_{106,39} = 20281021658976471894405569100314
T_{106,40} = 857104178555833709058085260402
T_{106,41} = 28034334252463648114915456800
T_{106,42} = 658551642502305411987351896
T_{106,43} = 9728797326723783054257280
T_{106,44} = 66521530474360583086080

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Zig Herzog; hgn@psu.edu