Current Betti Table Entry:
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0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(3,0,0) |
(8,1,0) |
(13,1,1) |
(17,3,1) |
(21,4,2) |
(25,4,4) |
(28,7,4) |
(31,9,5) |
(34,10,7) |
(37,10,10) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
· |
(19,14,0) |
(24,14,1) |
(28,15,2) |
(32,15,4) |
(35,17,5) |
(38,18,7) |
(41,18,10) |
(43,21,11) |
(45,23,13) |
(47,24,16) |
(49,24,20) |
(50,29,20) |
(51,33,21) |
(52,36,23) |
(53,38,26) |
(54,39,30) |
(55,39,35) |
(55,44,36) |
(55,48,38) |
(55,51,41) |
(55,53,45) |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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(55,55,55) |
\(\lambda=(38,36,31)\)
- Multiplicity: 999
- Dimension: 81
- Dominant: No
\(\lambda=(43,34,28)\)
- Multiplicity: 1464
- Dimension: 595
- Dominant: No
\(\lambda=(48,32,25)\)
- Multiplicity: 123
- Dimension: 1700
- Dominant: No
\(\lambda=(49,38,18)\)
- Multiplicity: 1
- Dimension: 4158
- Dominant: Yes
\(\lambda=(44,40,21)\)
- Multiplicity: 119
- Dimension: 1250
- Dominant: No
\(\lambda=(41,37,27)\)
- Multiplicity: 1443
- Dimension: 440
- Dominant: No
\(\lambda=(47,41,17)\)
- Multiplicity: 2
- Dimension: 2800
- Dominant: No
\(\lambda=(51,33,21)\)
- Multiplicity: 1
- Dimension: 3952
- Dominant: Yes
\(\lambda=(46,35,24)\)
- Multiplicity: 366
- Dimension: 1728
- Dominant: No
\(\lambda=(38,34,33)\)
- Multiplicity: 537
- Dimension: 35
- Dominant: No
\(\lambda=(43,32,30)\)
- Multiplicity: 872
- Dimension: 270
- Dominant: No
\(\lambda=(48,30,27)\)
- Multiplicity: 94
- Dimension: 874
- Dominant: No
\(\lambda=(49,36,20)\)
- Multiplicity: 9
- Dimension: 3689
- Dominant: No
\(\lambda=(45,44,16)\)
- Multiplicity: 1
- Dimension: 899
- Dominant: Yes
\(\lambda=(44,38,23)\)
- Multiplicity: 409
- Dimension: 1288
- Dominant: No
\(\lambda=(41,35,29)\)
- Multiplicity: 1857
- Dimension: 343
- Dominant: No
\(\lambda=(42,41,22)\)
- Multiplicity: 119
- Dimension: 440
- Dominant: No
\(\lambda=(47,39,19)\)
- Multiplicity: 17
- Dimension: 2835
- Dominant: No
\(\lambda=(51,31,23)\)
- Multiplicity: 2
- Dimension: 2835
- Dominant: No
\(\lambda=(46,33,26)\)
- Multiplicity: 486
- Dimension: 1232
- Dominant: No
\(\lambda=(39,38,28)\)
- Multiplicity: 807
- Dimension: 143
- Dominant: No
\(\lambda=(49,34,22)\)
- Multiplicity: 26
- Dimension: 3016
- Dominant: No
\(\lambda=(45,42,18)\)
- Multiplicity: 8
- Dimension: 1450
- Dominant: No
\(\lambda=(44,36,25)\)
- Multiplicity: 857
- Dimension: 1134
- Dominant: No
\(\lambda=(36,35,34)\)
- Multiplicity: 159
- Dimension: 8
- Dominant: No
\(\lambda=(41,33,31)\)
- Multiplicity: 1155
- Dimension: 162
- Dominant: No
\(\lambda=(42,39,24)\)
- Multiplicity: 536
- Dimension: 640
- Dominant: No
\(\lambda=(47,37,21)\)
- Multiplicity: 71
- Dimension: 2618
- Dominant: No
\(\lambda=(51,29,25)\)
- Multiplicity: 3
- Dimension: 1610
- Dominant: No
\(\lambda=(46,31,28)\)
- Multiplicity: 361
- Dimension: 640
- Dominant: No
\(\lambda=(39,36,30)\)
- Multiplicity: 1432
- Dimension: 154
- Dominant: No
\(\lambda=(49,32,24)\)
- Multiplicity: 44
- Dimension: 2187
- Dominant: No
\(\lambda=(45,40,20)\)
- Multiplicity: 59
- Dimension: 1701
- Dominant: No
\(\lambda=(44,34,27)\)
- Multiplicity: 1134
- Dimension: 836
- Dominant: No
\(\lambda=(42,37,26)\)
- Multiplicity: 1247
- Dimension: 648
- Dominant: No
\(\lambda=(47,35,23)\)
- Multiplicity: 171
- Dimension: 2197
- Dominant: No
\(\lambda=(51,27,27)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(43,43,19)\)
- Multiplicity: 7
- Dimension: 325
- Dominant: No
\(\lambda=(39,34,32)\)
- Multiplicity: 981
- Dimension: 81
- Dominant: No
\(\lambda=(40,40,25)\)
- Multiplicity: 218
- Dimension: 136
- Dominant: No
\(\lambda=(49,30,26)\)
- Multiplicity: 41
- Dimension: 1250
- Dominant: No
\(\lambda=(50,36,19)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(45,38,22)\)
- Multiplicity: 224
- Dimension: 1700
- Dominant: No
\(\lambda=(44,32,29)\)
- Multiplicity: 843
- Dimension: 442
- Dominant: No
\(\lambda=(37,37,31)\)
- Multiplicity: 377
- Dimension: 28
- Dominant: No
\(\lambda=(42,35,28)\)
- Multiplicity: 1737
- Dimension: 512
- Dominant: No
\(\lambda=(47,33,25)\)
- Multiplicity: 261
- Dimension: 1620
- Dominant: No
\(\lambda=(48,39,18)\)
- Multiplicity: 3
- Dimension: 3520
- Dominant: No
\(\lambda=(43,41,21)\)
- Multiplicity: 92
- Dimension: 756
- Dominant: No
\(\lambda=(40,38,27)\)
- Multiplicity: 1006
- Dimension: 270
- Dominant: No
\(\lambda=(49,28,28)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(50,34,21)\)
- Multiplicity: 5
- Dimension: 3689
- Dominant: No
\(\lambda=(46,42,17)\)
- Multiplicity: 2
- Dimension: 2015
- Dominant: No
\(\lambda=(45,36,24)\)
- Multiplicity: 519
- Dimension: 1495
- Dominant: No
\(\lambda=(37,35,33)\)
- Multiplicity: 474
- Dimension: 27
- Dominant: No
\(\lambda=(42,33,30)\)
- Multiplicity: 1322
- Dimension: 280
- Dominant: No
\(\lambda=(43,39,23)\)
- Multiplicity: 392
- Dimension: 935
- Dominant: No
\(\lambda=(48,37,20)\)
- Multiplicity: 20
- Dimension: 3240
- Dominant: No
\(\lambda=(47,31,27)\)
- Multiplicity: 234
- Dimension: 935
- Dominant: No
\(\lambda=(40,36,29)\)
- Multiplicity: 1702
- Dimension: 260
- Dominant: No
\(\lambda=(50,32,23)\)
- Multiplicity: 11
- Dimension: 2755
- Dominant: No
\(\lambda=(46,40,19)\)
- Multiplicity: 22
- Dimension: 2233
- Dominant: No
\(\lambda=(45,34,26)\)
- Multiplicity: 765
- Dimension: 1134
- Dominant: No
\(\lambda=(43,37,25)\)
- Multiplicity: 954
- Dimension: 910
- Dominant: No
\(\lambda=(48,35,22)\)
- Multiplicity: 62
- Dimension: 2744
- Dominant: No
\(\lambda=(47,29,29)\)
- Multiplicity: 61
- Dimension: 190
- Dominant: No
\(\lambda=(44,43,18)\)
- Multiplicity: 4
- Dimension: 728
- Dominant: No
\(\lambda=(40,34,31)\)
- Multiplicity: 1398
- Dimension: 154
- Dominant: No
\(\lambda=(41,40,24)\)
- Multiplicity: 305
- Dimension: 323
- Dominant: No
\(\lambda=(50,30,25)\)
- Multiplicity: 13
- Dimension: 1701
- Dominant: No
\(\lambda=(46,38,21)\)
- Multiplicity: 101
- Dimension: 2187
- Dominant: No
\(\lambda=(45,32,28)\)
- Multiplicity: 673
- Dimension: 665
- Dominant: No
\(\lambda=(38,37,30)\)
- Multiplicity: 819
- Dimension: 80
- Dominant: No
\(\lambda=(43,35,27)\)
- Multiplicity: 1446
- Dimension: 729
- Dominant: No
\(\lambda=(48,33,24)\)
- Multiplicity: 111
- Dimension: 2080
- Dominant: No
\(\lambda=(44,41,20)\)
- Multiplicity: 52
- Dimension: 1144
- Dominant: No
\(\lambda=(41,38,26)\)
- Multiplicity: 1020
- Dimension: 442
- Dominant: No
\(\lambda=(50,28,27)\)
- Multiplicity: 6
- Dimension: 575
- Dominant: No
\(\lambda=(46,36,23)\)
- Multiplicity: 268
- Dimension: 1925
- Dominant: No
\(\lambda=(45,30,30)\)
- Multiplicity: 158
- Dimension: 136
- Dominant: No
\(\lambda=(38,35,32)\)
- Multiplicity: 909
- Dimension: 64
- Dominant: No
\(\lambda=(43,33,29)\)
- Multiplicity: 1295
- Dimension: 440
- Dominant: No
\(\lambda=(48,31,26)\)
- Multiplicity: 118
- Dimension: 1296
- Dominant: No
\(\lambda=(49,37,19)\)
- Multiplicity: 4
- Dimension: 3952
- Dominant: No
\(\lambda=(44,39,22)\)
- Multiplicity: 237
- Dimension: 1296
- Dominant: No
\(\lambda=(41,36,28)\)
- Multiplicity: 1746
- Dimension: 405
- Dominant: No
\(\lambda=(42,42,21)\)
- Multiplicity: 32
- Dimension: 253
- Dominant: No
\(\lambda=(47,40,18)\)
- Multiplicity: 6
- Dimension: 2852
- Dominant: No
\(\lambda=(51,32,22)\)
- Multiplicity: 1
- Dimension: 3410
- Dominant: No
\(\lambda=(46,34,25)\)
- Multiplicity: 447
- Dimension: 1495
- Dominant: No
\(\lambda=(39,39,27)\)
- Multiplicity: 373
- Dimension: 91
- Dominant: No
\(\lambda=(43,31,31)\)
- Multiplicity: 322
- Dimension: 91
- Dominant: No
\(\lambda=(48,29,28)\)
- Multiplicity: 52
- Dimension: 440
- Dominant: No
\(\lambda=(49,35,21)\)
- Multiplicity: 17
- Dimension: 3375
- Dominant: No
\(\lambda=(45,43,17)\)
- Multiplicity: 2
- Dimension: 1215
- Dominant: No
\(\lambda=(44,37,24)\)
- Multiplicity: 628
- Dimension: 1232
- Dominant: No
\(\lambda=(36,36,33)\)
- Multiplicity: 179
- Dimension: 10
- Dominant: No
\(\lambda=(41,34,30)\)
- Multiplicity: 1642
- Dimension: 260
- Dominant: No
\(\lambda=(42,40,23)\)
- Multiplicity: 278
- Dimension: 567
- Dominant: No
\(\lambda=(47,38,20)\)
- Multiplicity: 36
- Dimension: 2755
- Dominant: No
\(\lambda=(51,30,24)\)
- Multiplicity: 2
- Dimension: 2233
- Dominant: No
\(\lambda=(46,32,27)\)
- Multiplicity: 459
- Dimension: 945
- Dominant: No
\(\lambda=(39,37,29)\)
- Multiplicity: 1221
- Dimension: 162
- Dominant: No
\(\lambda=(49,33,23)\)
- Multiplicity: 38
- Dimension: 2618
- Dominant: No
\(\lambda=(45,41,19)\)
- Multiplicity: 25
- Dimension: 1610
- Dominant: No
\(\lambda=(44,35,26)\)
- Multiplicity: 1047
- Dimension: 1000
- Dominant: No
\(\lambda=(41,32,32)\)
- Multiplicity: 402
- Dimension: 55
- Dominant: No
\(\lambda=(42,38,25)\)
- Multiplicity: 872
- Dimension: 665
- Dominant: No
\(\lambda=(47,36,22)\)
- Multiplicity: 115
- Dimension: 2430
- Dominant: No
\(\lambda=(51,28,26)\)
- Multiplicity: 1
- Dimension: 972
- Dominant: No
\(\lambda=(46,30,29)\)
- Multiplicity: 199
- Dimension: 323
- Dominant: No
\(\lambda=(39,35,31)\)
- Multiplicity: 1380
- Dimension: 125
- Dominant: No
\(\lambda=(49,31,25)\)
- Multiplicity: 49
- Dimension: 1729
- Dominant: No
\(\lambda=(45,39,21)\)
- Multiplicity: 125
- Dimension: 1729
- Dominant: No
\(\lambda=(44,33,28)\)
- Multiplicity: 1075
- Dimension: 648
- Dominant: No
\(\lambda=(42,36,27)\)
- Multiplicity: 1566
- Dimension: 595
- Dominant: No
\(\lambda=(47,34,24)\)
- Multiplicity: 219
- Dimension: 1925
- Dominant: No
\(\lambda=(48,40,17)\)
- Multiplicity: 1
- Dimension: 3564
- Dominant: Yes
\(\lambda=(43,42,20)\)
- Multiplicity: 30
- Dimension: 575
- Dominant: No
\(\lambda=(39,33,33)\)
- Multiplicity: 370
- Dimension: 28
- Dominant: No
\(\lambda=(40,39,26)\)
- Multiplicity: 576
- Dimension: 224
- Dominant: No
\(\lambda=(49,29,27)\)
- Multiplicity: 31
- Dimension: 756
- Dominant: No
\(\lambda=(50,35,20)\)
- Multiplicity: 2
- Dimension: 4096
- Dominant: No
\(\lambda=(45,37,23)\)
- Multiplicity: 365
- Dimension: 1620
- Dominant: No
\(\lambda=(44,31,30)\)
- Multiplicity: 465
- Dimension: 224
- Dominant: No
\(\lambda=(37,36,32)\)
- Multiplicity: 542
- Dimension: 35
- Dominant: No
\(\lambda=(42,34,29)\)
- Multiplicity: 1665
- Dimension: 405
- Dominant: No
\(\lambda=(43,40,22)\)
- Multiplicity: 202
- Dimension: 874
- Dominant: No
\(\lambda=(48,38,19)\)
- Multiplicity: 9
- Dimension: 3410
- Dominant: No
\(\lambda=(47,32,26)\)
- Multiplicity: 260
- Dimension: 1288
- Dominant: No
\(\lambda=(40,37,28)\)
- Multiplicity: 1431
- Dimension: 280
- Dominant: No
\(\lambda=(50,33,22)\)
- Multiplicity: 8
- Dimension: 3240
- Dominant: No
\(\lambda=(46,41,18)\)
- Multiplicity: 8
- Dimension: 2160
- Dominant: No
\(\lambda=(45,35,25)\)
- Multiplicity: 673
- Dimension: 1331
- Dominant: No
\(\lambda=(37,34,34)\)
- Multiplicity: 177
- Dimension: 10
- Dominant: No
\(\lambda=(42,32,31)\)
- Multiplicity: 731
- Dimension: 143
- Dominant: No
\(\lambda=(43,38,24)\)
- Multiplicity: 643
- Dimension: 945
- Dominant: No
\(\lambda=(48,36,21)\)
- Multiplicity: 38
- Dimension: 3016
- Dominant: No
\(\lambda=(47,30,28)\)
- Multiplicity: 154
- Dimension: 567
- Dominant: No
\(\lambda=(40,35,30)\)
- Multiplicity: 1715
- Dimension: 216
- Dominant: No
\(\lambda=(41,41,23)\)
- Multiplicity: 107
- Dimension: 190
- Dominant: No
\(\lambda=(50,31,24)\)
- Multiplicity: 13
- Dimension: 2240
- Dominant: No
\(\lambda=(46,39,20)\)
- Multiplicity: 51
- Dimension: 2240
- Dominant: No
\(\lambda=(45,33,27)\)
- Multiplicity: 786
- Dimension: 910
- Dominant: No
\(\lambda=(38,38,29)\)
- Multiplicity: 432
- Dimension: 55
- Dominant: No
\(\lambda=(43,36,26)\)
- Multiplicity: 1235
- Dimension: 836
- Dominant: No
\(\lambda=(48,34,23)\)
- Multiplicity: 88
- Dimension: 2430
- Dominant: No
\(\lambda=(44,42,19)\)
- Multiplicity: 17
- Dimension: 972
- Dominant: No
\(\lambda=(35,35,35)\)
- Multiplicity: 25
- Dimension: 1
- Dominant: No
\(\lambda=(40,33,32)\)
- Multiplicity: 789
- Dimension: 80
- Dominant: No
\(\lambda=(41,39,25)\)
- Multiplicity: 626
- Dimension: 405
- Dominant: No
\(\lambda=(50,29,26)\)
- Multiplicity: 11
- Dimension: 1144
- Dominant: No
\(\lambda=(46,37,22)\)
- Multiplicity: 175
- Dimension: 2080
- Dominant: No
\(\lambda=(45,31,29)\)
- Multiplicity: 469
- Dimension: 405
- Dominant: No
\(\textbf{a}=(29,46,30)\)
- Multiplicity: 9597
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,25)\)
- Multiplicity: 923
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,20,39)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,44)\)
- Multiplicity: 24195
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,30)\)
- Multiplicity: 178867
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,44)\)
- Multiplicity: 24195
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,49)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,30)\)
- Multiplicity: 59863
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,35)\)
- Multiplicity: 3163
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,20,44)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,49)\)
- Multiplicity: 424
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,30)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,21)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,35)\)
- Multiplicity: 210781
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,49)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,21)\)
- Multiplicity: 1218
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,35)\)
- Multiplicity: 268168
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,46,40)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,21)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,26)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,35)\)
- Multiplicity: 8207
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,40)\)
- Multiplicity: 45134
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,26)\)
- Multiplicity: 18303
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,40)\)
- Multiplicity: 186943
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,31)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,26)\)
- Multiplicity: 34662
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,40)\)
- Multiplicity: 27265
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,39,45)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,31)\)
- Multiplicity: 36419
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,26)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,18,40)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,45)\)
- Multiplicity: 17327
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,31)\)
- Multiplicity: 243961
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,25,45)\)
- Multiplicity: 8207
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,50)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,31)\)
- Multiplicity: 36419
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,17)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,36)\)
- Multiplicity: 12818
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,18,45)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,50)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,31)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,22)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,36)\)
- Multiplicity: 287952
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,22)\)
- Multiplicity: 3622
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,36)\)
- Multiplicity: 178867
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,44,41)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,27)\)
- Multiplicity: 424
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,22)\)
- Multiplicity: 251
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,36)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,41)\)
- Multiplicity: 60552
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,27)\)
- Multiplicity: 48946
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,41)\)
- Multiplicity: 122175
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,49,32)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,27)\)
- Multiplicity: 36144
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,41)\)
- Multiplicity: 7817
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,37,46)\)
- Multiplicity: 1113
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,32)\)
- Multiplicity: 95432
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,27)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,46)\)
- Multiplicity: 9597
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,32)\)
- Multiplicity: 268168
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,18)\)
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- Error: 0
\(\textbf{a}=(38,42,25)\)
- Multiplicity: 22671
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,30,39)\)
- Multiplicity: 178867
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,44,44)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,49,30)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,25)\)
- Multiplicity: 8207
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,23,39)\)
- Multiplicity: 6338
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,37,44)\)
- Multiplicity: 8255
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,30)\)
- Multiplicity: 89382
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,44)\)
- Multiplicity: 36419
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,49)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,30)\)
- Multiplicity: 153756
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,49,35)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,23,44)\)
- Multiplicity: 4855
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,49)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,28,30)\)
- Multiplicity: 3993
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,42,35)\)
- Multiplicity: 64146
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,16,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,49)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,21)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,35,35)\)
- Multiplicity: 363687
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,21)\)
- Multiplicity: 1218
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,28,35)\)
- Multiplicity: 64146
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,42,40)\)
- Multiplicity: 7412
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,21)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,26)\)
- Multiplicity: 2957
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,21,35)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,40)\)
- Multiplicity: 153756
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,26)\)
- Multiplicity: 45134
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,40)\)
- Multiplicity: 96538
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,42,45)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,31)\)
- Multiplicity: 3576
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,26)\)
- Multiplicity: 6225
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,21,40)\)
- Multiplicity: 1218
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,35,45)\)
- Multiplicity: 8207
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,31)\)
- Multiplicity: 175197
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,45)\)
- Multiplicity: 17327
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,31)\)
- Multiplicity: 134763
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,17)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,36)\)
- Multiplicity: 584
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,21,45)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,50)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,31)\)
- Multiplicity: 1176
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,36)\)
- Multiplicity: 126167
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,50)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,22)\)
- Multiplicity: 1816
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,36)\)
- Multiplicity: 329084
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,47,41)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,22)\)
- Multiplicity: 1816
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,36)\)
- Multiplicity: 26468
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,41)\)
- Multiplicity: 14993
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,27)\)
- Multiplicity: 14562
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,19,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,41)\)
- Multiplicity: 134763
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,40,46)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,27)\)
- Multiplicity: 68646
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,41)\)
- Multiplicity: 41361
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,32)\)
- Multiplicity: 17327
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,27)\)
- Multiplicity: 3576
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,19,41)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,46)\)
- Multiplicity: 6225
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,32)\)
- Multiplicity: 268168
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,46)\)
- Multiplicity: 6225
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,32)\)
- Multiplicity: 95432
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,18)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,37)\)
- Multiplicity: 3314
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,19,46)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,51)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,32)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,23)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,37)\)
- Multiplicity: 192805
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,23)\)
- Multiplicity: 6338
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,37)\)
- Multiplicity: 243961
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,45,42)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,28)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,23)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,37)\)
- Multiplicity: 8255
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,42)\)
- Multiplicity: 22671
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,28)\)
- Multiplicity: 45823
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,42)\)
- Multiplicity: 95432
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,38,47)\)
- Multiplicity: 131
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,33)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,28)\)
- Multiplicity: 82106
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,42)\)
- Multiplicity: 13596
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,47)\)
- Multiplicity: 3576
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,33)\)
- Multiplicity: 54205
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,28)\)
- Multiplicity: 1492
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,17,42)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,47)\)
- Multiplicity: 1585
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,33)\)
- Multiplicity: 329084
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,19)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,17,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,33)\)
- Multiplicity: 54205
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,19)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,38)\)
- Multiplicity: 11161
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,33)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,24)\)
- Multiplicity: 662
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,38)\)
- Multiplicity: 235206
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,24)\)
- Multiplicity: 14993
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,38)\)
- Multiplicity: 147350
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,43,43)\)
- Multiplicity: 185
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,29)\)
- Multiplicity: 1492
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,24)\)
- Multiplicity: 1585
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,38)\)
- Multiplicity: 1816
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,43)\)
- Multiplicity: 26468
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,29)\)
- Multiplicity: 103679
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,43)\)
- Multiplicity: 54205
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,48)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,29)\)
- Multiplicity: 78341
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,34)\)
- Multiplicity: 431
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,22,43)\)
- Multiplicity: 3235
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,48)\)
- Multiplicity: 1492
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,29)\)
- Multiplicity: 424
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,34)\)
- Multiplicity: 122175
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,48)\)
- Multiplicity: 251
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,20)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,34)\)
- Multiplicity: 328424
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,48,39)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,20)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,34)\)
- Multiplicity: 24195
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,39)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,25)\)
- Multiplicity: 4628
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,39)\)
- Multiplicity: 232361
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,25)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,27,39)\)
- Multiplicity: 71582
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,41,44)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{16,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{16,1}(2,3;6)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{16,\textbf{a}}(2,3;6)\). Here \(\textbf{a}\) is the weight \((a_0,a_1,a_2)\) where \(a_2\) is determined by the fact that \(|\textbf{a}|\) equals \(d(p+q)+b\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!