Current Betti Table Entry:
|
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 |
(0,0,0) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
(10,2,0) |
(15,2,1) |
(19,4,1) |
(23,5,2) |
(27,5,4) |
(30,8,4) |
(33,10,5) |
(36,11,7) |
(39,11,10) |
(41,15,10) |
(43,18,11) |
(45,20,13) |
(47,21,16) |
(49,21,20) |
(50,26,20) |
(51,30,21) |
(52,33,23) |
(53,35,26) |
(54,36,30) |
(55,36,35) |
(55,41,36) |
· |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(45,45,18) |
(48,45,21) |
(50,46,24) |
(52,46,28) |
(53,48,31) |
(54,49,35) |
(55,49,40) |
(55,52,43) |
(55,54,47) |
(55,55,52) |
\(\lambda=(40,31,31)\)
- Multiplicity: 179
- Dimension: 55
- Dominant: No
\(\lambda=(41,37,24)\)
- Multiplicity: 323
- Dimension: 665
- Dominant: No
\(\lambda=(50,27,25)\)
- Multiplicity: 5
- Dimension: 972
- Dominant: No
\(\lambda=(46,35,21)\)
- Multiplicity: 62
- Dimension: 2430
- Dominant: No
\(\lambda=(45,29,28)\)
- Multiplicity: 128
- Dimension: 323
- Dominant: No
\(\lambda=(38,34,30)\)
- Multiplicity: 522
- Dimension: 125
- Dominant: No
\(\lambda=(48,30,24)\)
- Multiplicity: 49
- Dimension: 1729
- Dominant: No
\(\lambda=(44,38,20)\)
- Multiplicity: 39
- Dimension: 1729
- Dominant: No
\(\lambda=(43,32,27)\)
- Multiplicity: 531
- Dimension: 648
- Dominant: No
\(\lambda=(41,35,26)\)
- Multiplicity: 636
- Dimension: 595
- Dominant: No
\(\lambda=(46,33,23)\)
- Multiplicity: 140
- Dimension: 1925
- Dominant: No
\(\lambda=(42,41,19)\)
- Multiplicity: 7
- Dimension: 575
- Dominant: No
\(\lambda=(38,32,32)\)
- Multiplicity: 135
- Dimension: 28
- Dominant: No
\(\lambda=(39,38,25)\)
- Multiplicity: 206
- Dimension: 224
- Dominant: No
\(\lambda=(48,28,26)\)
- Multiplicity: 32
- Dimension: 756
- Dominant: No
\(\lambda=(49,34,19)\)
- Multiplicity: 3
- Dimension: 4096
- Dominant: No
\(\lambda=(44,36,22)\)
- Multiplicity: 147
- Dimension: 1620
- Dominant: No
\(\lambda=(43,30,29)\)
- Multiplicity: 240
- Dimension: 224
- Dominant: No
\(\lambda=(36,35,31)\)
- Multiplicity: 204
- Dimension: 35
- Dominant: No
\(\lambda=(41,33,28)\)
- Multiplicity: 718
- Dimension: 405
- Dominant: No
\(\lambda=(42,39,21)\)
- Multiplicity: 62
- Dimension: 874
- Dominant: No
\(\lambda=(47,37,18)\)
- Multiplicity: 4
- Dimension: 3410
- Dominant: No
\(\lambda=(51,29,22)\)
- Multiplicity: 1
- Dimension: 2852
- Dominant: No
\(\lambda=(46,31,25)\)
- Multiplicity: 186
- Dimension: 1288
- Dominant: No
\(\lambda=(39,36,27)\)
- Multiplicity: 541
- Dimension: 280
- Dominant: No
\(\lambda=(49,32,21)\)
- Multiplicity: 11
- Dimension: 3240
- Dominant: No
\(\lambda=(45,40,17)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: No
\(\lambda=(44,34,24)\)
- Multiplicity: 320
- Dimension: 1331
- Dominant: No
\(\lambda=(36,33,33)\)
- Multiplicity: 71
- Dimension: 10
- Dominant: No
\(\lambda=(41,31,30)\)
- Multiplicity: 325
- Dimension: 143
- Dominant: No
\(\lambda=(42,37,23)\)
- Multiplicity: 240
- Dimension: 945
- Dominant: No
\(\lambda=(47,35,20)\)
- Multiplicity: 23
- Dimension: 3016
- Dominant: No
\(\lambda=(51,27,24)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(46,29,27)\)
- Multiplicity: 119
- Dimension: 567
- Dominant: No
\(\lambda=(39,34,29)\)
- Multiplicity: 676
- Dimension: 216
- Dominant: No
\(\lambda=(40,40,22)\)
- Multiplicity: 28
- Dimension: 190
- Dominant: No
\(\lambda=(49,30,23)\)
- Multiplicity: 20
- Dimension: 2240
- Dominant: No
\(\lambda=(45,38,19)\)
- Multiplicity: 16
- Dimension: 2240
- Dominant: No
\(\lambda=(44,32,26)\)
- Multiplicity: 414
- Dimension: 910
- Dominant: No
\(\lambda=(37,37,28)\)
- Multiplicity: 168
- Dimension: 55
- Dominant: No
\(\lambda=(42,35,25)\)
- Multiplicity: 518
- Dimension: 836
- Dominant: No
\(\lambda=(47,33,22)\)
- Multiplicity: 64
- Dimension: 2430
- Dominant: No
\(\lambda=(43,41,18)\)
- Multiplicity: 4
- Dimension: 972
- Dominant: No
\(\lambda=(34,34,34)\)
- Multiplicity: 6
- Dimension: 1
- Dominant: No
\(\lambda=(39,32,31)\)
- Multiplicity: 317
- Dimension: 80
- Dominant: No
\(\lambda=(40,38,24)\)
- Multiplicity: 213
- Dimension: 405
- Dominant: No
\(\lambda=(49,28,25)\)
- Multiplicity: 17
- Dimension: 1144
- Dominant: No
\(\lambda=(45,36,21)\)
- Multiplicity: 75
- Dimension: 2080
- Dominant: No
\(\lambda=(44,30,28)\)
- Multiplicity: 257
- Dimension: 405
- Dominant: No
\(\lambda=(37,35,30)\)
- Multiplicity: 382
- Dimension: 81
- Dominant: No
\(\lambda=(42,33,27)\)
- Multiplicity: 667
- Dimension: 595
- Dominant: No
\(\lambda=(47,31,24)\)
- Multiplicity: 100
- Dimension: 1700
- Dominant: No
\(\lambda=(48,37,17)\)
- Multiplicity: 1
- Dimension: 4158
- Dominant: Yes
\(\lambda=(43,39,20)\)
- Multiplicity: 35
- Dimension: 1250
- Dominant: No
\(\lambda=(40,36,26)\)
- Multiplicity: 542
- Dimension: 440
- Dominant: No
\(\lambda=(50,32,20)\)
- Multiplicity: 2
- Dimension: 3952
- Dominant: No
\(\lambda=(45,34,23)\)
- Multiplicity: 191
- Dimension: 1728
- Dominant: No
\(\lambda=(37,33,32)\)
- Multiplicity: 206
- Dimension: 35
- Dominant: No
\(\lambda=(42,31,29)\)
- Multiplicity: 421
- Dimension: 270
- Dominant: No
\(\lambda=(47,29,26)\)
- Multiplicity: 83
- Dimension: 874
- Dominant: No
\(\lambda=(48,35,19)\)
- Multiplicity: 7
- Dimension: 3689
- Dominant: No
\(\lambda=(43,37,22)\)
- Multiplicity: 154
- Dimension: 1288
- Dominant: No
\(\lambda=(40,34,28)\)
- Multiplicity: 741
- Dimension: 343
- Dominant: No
\(\lambda=(41,40,21)\)
- Multiplicity: 32
- Dimension: 440
- Dominant: No
\(\lambda=(46,38,18)\)
- Multiplicity: 5
- Dimension: 2835
- Dominant: No
\(\lambda=(50,30,22)\)
- Multiplicity: 5
- Dimension: 2835
- Dominant: No
\(\lambda=(45,32,25)\)
- Multiplicity: 286
- Dimension: 1232
- Dominant: No
\(\lambda=(38,37,27)\)
- Multiplicity: 301
- Dimension: 143
- Dominant: No
\(\lambda=(48,33,21)\)
- Multiplicity: 24
- Dimension: 3016
- Dominant: No
\(\lambda=(44,41,17)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(43,35,24)\)
- Multiplicity: 372
- Dimension: 1134
- Dominant: No
\(\lambda=(35,34,33)\)
- Multiplicity: 59
- Dimension: 8
- Dominant: No
\(\lambda=(40,32,30)\)
- Multiplicity: 472
- Dimension: 162
- Dominant: No
\(\lambda=(41,38,23)\)
- Multiplicity: 183
- Dimension: 640
- Dominant: No
\(\lambda=(46,36,20)\)
- Multiplicity: 31
- Dimension: 2618
- Dominant: No
\(\lambda=(50,28,24)\)
- Multiplicity: 5
- Dimension: 1610
- Dominant: No
\(\lambda=(45,30,27)\)
- Multiplicity: 227
- Dimension: 640
- Dominant: No
\(\lambda=(38,35,29)\)
- Multiplicity: 550
- Dimension: 154
- Dominant: No
\(\lambda=(48,31,23)\)
- Multiplicity: 47
- Dimension: 2187
- Dominant: No
\(\lambda=(44,39,19)\)
- Multiplicity: 16
- Dimension: 1701
- Dominant: No
\(\lambda=(43,33,26)\)
- Multiplicity: 545
- Dimension: 836
- Dominant: No
\(\lambda=(41,36,25)\)
- Multiplicity: 480
- Dimension: 648
- Dominant: No
\(\lambda=(50,26,26)\)
- Multiplicity: 2
- Dimension: 325
- Dominant: No
\(\lambda=(46,34,22)\)
- Multiplicity: 96
- Dimension: 2197
- Dominant: No
\(\lambda=(42,42,18)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(38,33,31)\)
- Multiplicity: 388
- Dimension: 81
- Dominant: No
\(\lambda=(39,39,24)\)
- Multiplicity: 80
- Dimension: 136
- Dominant: No
\(\lambda=(48,29,25)\)
- Multiplicity: 48
- Dimension: 1250
- Dominant: No
\(\lambda=(49,35,18)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(44,37,21)\)
- Multiplicity: 85
- Dimension: 1700
- Dominant: No
\(\lambda=(43,31,28)\)
- Multiplicity: 429
- Dimension: 442
- Dominant: No
\(\lambda=(36,36,30)\)
- Multiplicity: 131
- Dimension: 28
- Dominant: No
\(\lambda=(41,34,27)\)
- Multiplicity: 725
- Dimension: 512
- Dominant: No
\(\lambda=(42,40,20)\)
- Multiplicity: 22
- Dimension: 756
- Dominant: No
\(\lambda=(47,38,17)\)
- Multiplicity: 1
- Dimension: 3520
- Dominant: No
\(\lambda=(51,30,21)\)
- Multiplicity: 1
- Dimension: 3520
- Dominant: Yes
\(\lambda=(46,32,24)\)
- Multiplicity: 168
- Dimension: 1620
- Dominant: No
\(\lambda=(39,37,26)\)
- Multiplicity: 378
- Dimension: 270
- Dominant: No
\(\lambda=(48,27,27)\)
- Multiplicity: 13
- Dimension: 253
- Dominant: No
\(\lambda=(49,33,20)\)
- Multiplicity: 6
- Dimension: 3689
- Dominant: No
\(\lambda=(44,35,23)\)
- Multiplicity: 237
- Dimension: 1495
- Dominant: No
\(\lambda=(36,34,32)\)
- Multiplicity: 169
- Dimension: 27
- Dominant: No
\(\lambda=(41,32,29)\)
- Multiplicity: 579
- Dimension: 280
- Dominant: No
\(\lambda=(42,38,22)\)
- Multiplicity: 129
- Dimension: 935
- Dominant: No
\(\lambda=(47,36,19)\)
- Multiplicity: 10
- Dimension: 3240
- Dominant: No
\(\lambda=(51,28,23)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: No
\(\lambda=(46,30,26)\)
- Multiplicity: 164
- Dimension: 935
- Dominant: No
\(\lambda=(39,35,28)\)
- Multiplicity: 665
- Dimension: 260
- Dominant: No
\(\lambda=(49,31,22)\)
- Multiplicity: 16
- Dimension: 2755
- Dominant: No
\(\lambda=(45,39,18)\)
- Multiplicity: 5
- Dimension: 2233
- Dominant: No
\(\lambda=(44,33,25)\)
- Multiplicity: 396
- Dimension: 1134
- Dominant: No
\(\lambda=(42,36,24)\)
- Multiplicity: 368
- Dimension: 910
- Dominant: No
\(\lambda=(47,34,21)\)
- Multiplicity: 41
- Dimension: 2744
- Dominant: No
\(\lambda=(51,26,25)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(46,28,28)\)
- Multiplicity: 39
- Dimension: 190
- Dominant: No
\(\lambda=(43,42,17)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(39,33,30)\)
- Multiplicity: 561
- Dimension: 154
- Dominant: No
\(\lambda=(40,39,23)\)
- Multiplicity: 101
- Dimension: 323
- Dominant: No
\(\lambda=(49,29,24)\)
- Multiplicity: 20
- Dimension: 1701
- Dominant: No
\(\lambda=(45,37,20)\)
- Multiplicity: 39
- Dimension: 2187
- Dominant: No
\(\lambda=(44,31,27)\)
- Multiplicity: 378
- Dimension: 665
- Dominant: No
\(\lambda=(37,36,29)\)
- Multiplicity: 305
- Dimension: 80
- Dominant: No
\(\lambda=(42,34,26)\)
- Multiplicity: 621
- Dimension: 729
- Dominant: No
\(\lambda=(47,32,23)\)
- Multiplicity: 86
- Dimension: 2080
- Dominant: No
\(\lambda=(43,40,19)\)
- Multiplicity: 12
- Dimension: 1144
- Dominant: No
\(\lambda=(40,37,25)\)
- Multiplicity: 378
- Dimension: 442
- Dominant: No
\(\lambda=(50,33,19)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(49,27,26)\)
- Multiplicity: 10
- Dimension: 575
- Dominant: No
\(\lambda=(45,35,22)\)
- Multiplicity: 130
- Dimension: 1925
- Dominant: No
\(\lambda=(44,29,29)\)
- Multiplicity: 99
- Dimension: 136
- Dominant: No
\(\lambda=(37,34,31)\)
- Multiplicity: 343
- Dimension: 64
- Dominant: No
\(\lambda=(42,32,28)\)
- Multiplicity: 590
- Dimension: 440
- Dominant: No
\(\lambda=(47,30,25)\)
- Multiplicity: 101
- Dimension: 1296
- Dominant: No
\(\lambda=(48,36,18)\)
- Multiplicity: 2
- Dimension: 3952
- Dominant: No
\(\lambda=(43,38,21)\)
- Multiplicity: 79
- Dimension: 1296
- Dominant: No
\(\lambda=(40,35,27)\)
- Multiplicity: 693
- Dimension: 405
- Dominant: No
\(\lambda=(41,41,20)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(46,39,17)\)
- Multiplicity: 2
- Dimension: 2852
- Dominant: No
\(\lambda=(50,31,21)\)
- Multiplicity: 4
- Dimension: 3410
- Dominant: No
\(\lambda=(45,33,24)\)
- Multiplicity: 250
- Dimension: 1495
- Dominant: No
\(\lambda=(38,38,26)\)
- Multiplicity: 128
- Dimension: 91
- Dominant: No
\(\lambda=(42,30,30)\)
- Multiplicity: 143
- Dimension: 91
- Dominant: No
\(\lambda=(47,28,27)\)
- Multiplicity: 45
- Dimension: 440
- Dominant: No
\(\lambda=(48,34,20)\)
- Multiplicity: 13
- Dimension: 3375
- Dominant: No
\(\lambda=(43,36,23)\)
- Multiplicity: 252
- Dimension: 1232
- Dominant: No
\(\lambda=(35,35,32)\)
- Multiplicity: 72
- Dimension: 10
- Dominant: No
\(\lambda=(40,33,29)\)
- Multiplicity: 686
- Dimension: 260
- Dominant: No
\(\lambda=(41,39,22)\)
- Multiplicity: 89
- Dimension: 567
- Dominant: No
\(\lambda=(46,37,19)\)
- Multiplicity: 16
- Dimension: 2755
- Dominant: No
\(\lambda=(50,29,23)\)
- Multiplicity: 7
- Dimension: 2233
- Dominant: No
\(\lambda=(45,31,26)\)
- Multiplicity: 283
- Dimension: 945
- Dominant: No
\(\lambda=(38,36,28)\)
- Multiplicity: 449
- Dimension: 162
- Dominant: No
\(\lambda=(48,32,22)\)
- Multiplicity: 35
- Dimension: 2618
- Dominant: No
\(\lambda=(44,40,18)\)
- Multiplicity: 4
- Dimension: 1610
- Dominant: No
\(\lambda=(43,34,25)\)
- Multiplicity: 478
- Dimension: 1000
- Dominant: No
\(\textbf{a}=(36,39,27)\)
- Multiplicity: 43644
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,41)\)
- Multiplicity: 31417
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,46)\)
- Multiplicity: 684
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,27)\)
- Multiplicity: 16891
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,32)\)
- Multiplicity: 1734
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,20,41)\)
- Multiplicity: 497
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,46)\)
- Multiplicity: 3349
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,32)\)
- Multiplicity: 87987
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,27)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,46)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,32)\)
- Multiplicity: 110195
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,18)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,46,37)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,32)\)
- Multiplicity: 4217
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,18)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,23)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,37)\)
- Multiplicity: 30415
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,23)\)
- Multiplicity: 2890
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,37)\)
- Multiplicity: 129182
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,28)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,23)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,37)\)
- Multiplicity: 18243
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,39,42)\)
- Multiplicity: 1198
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,28)\)
- Multiplicity: 12290
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,23)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,18,37)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,42)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,28)\)
- Multiplicity: 65865
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,25,42)\)
- Multiplicity: 12949
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,47)\)
- Multiplicity: 602
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,28)\)
- Multiplicity: 12290
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,33)\)
- Multiplicity: 6722
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,18,42)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,47)\)
- Multiplicity: 1161
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,28)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,19)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,33)\)
- Multiplicity: 129182
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,19)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,33)\)
- Multiplicity: 82128
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,44,38)\)
- Multiplicity: 342
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,19)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,24)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,33)\)
- Multiplicity: 1155
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,38)\)
- Multiplicity: 46562
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,24)\)
- Multiplicity: 8353
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,38)\)
- Multiplicity: 96264
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,49,29)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,24)\)
- Multiplicity: 6487
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,38)\)
- Multiplicity: 5661
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,37,43)\)
- Multiplicity: 2135
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,29)\)
- Multiplicity: 32331
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,24)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,43)\)
- Multiplicity: 21272
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,37,48)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,29)\)
- Multiplicity: 81209
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,49,34)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,23,43)\)
- Multiplicity: 3927
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,48)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,28,29)\)
- Multiplicity: 6945
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(26,49,27)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,22)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,23,36)\)
- Multiplicity: 3927
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,37,41)\)
- Multiplicity: 9968
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,27)\)
- Multiplicity: 23963
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,41)\)
- Multiplicity: 48694
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,46)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,27)\)
- Multiplicity: 38317
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,49,32)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,23,41)\)
- Multiplicity: 5661
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,46)\)
- Multiplicity: 2942
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,42,32)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,28,27)\)
- Multiplicity: 1523
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,46)\)
- Multiplicity: 1155
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,35,32)\)
- Multiplicity: 146486
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,18)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,30,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,28,32)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,18)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,42,37)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,21,32)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,23)\)
- Multiplicity: 602
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,37)\)
- Multiplicity: 105829
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,23)\)
- Multiplicity: 6070
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,37)\)
- Multiplicity: 65865
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,42,42)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,28)\)
- Multiplicity: 1523
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,23)\)
- Multiplicity: 1155
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,21,37)\)
- Multiplicity: 804
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,35,42)\)
- Multiplicity: 12949
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,28)\)
- Multiplicity: 49292
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,42)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,47)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,28)\)
- Multiplicity: 39163
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,33)\)
- Multiplicity: 366
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,21,42)\)
- Multiplicity: 1198
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,47)\)
- Multiplicity: 1523
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,28)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,33)\)
- Multiplicity: 58924
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,47)\)
- Multiplicity: 196
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,19)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,33)\)
- Multiplicity: 146657
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,47,38)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,19)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,33)\)
- Multiplicity: 13370
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,38)\)
- Multiplicity: 11042
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,24)\)
- Multiplicity: 2994
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,19,33)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,38)\)
- Multiplicity: 106569
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,24)\)
- Multiplicity: 11042
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,38)\)
- Multiplicity: 31414
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,40,43)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,29)\)
- Multiplicity: 6945
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,24)\)
- Multiplicity: 879
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,19,38)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,43)\)
- Multiplicity: 13370
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,29)\)
- Multiplicity: 81209
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,43)\)
- Multiplicity: 13370
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,48)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,29)\)
- Multiplicity: 32331
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,34)\)
- Multiplicity: 1930
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,19,43)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,48)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,29)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,20)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,34)\)
- Multiplicity: 96264
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,48)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,20)\)
- Multiplicity: 423
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,34)\)
- Multiplicity: 120904
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,45,39)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,20)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,25)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,34)\)
- Multiplicity: 4618
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,39)\)
- Multiplicity: 19504
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,25)\)
- Multiplicity: 9733
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,39)\)
- Multiplicity: 87987
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,30)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,25)\)
- Multiplicity: 15929
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,39)\)
- Multiplicity: 11432
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,38,44)\)
- Multiplicity: 342
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,30)\)
- Multiplicity: 21272
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,25)\)
- Multiplicity: 483
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,17,39)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,44)\)
- Multiplicity: 10921
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,30)\)
- Multiplicity: 109162
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,44)\)
- Multiplicity: 4618
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,49)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,30)\)
- Multiplicity: 21272
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,35)\)
- Multiplicity: 6487
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,17,44)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,49)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,30)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,21)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,35)\)
- Multiplicity: 128717
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,21)\)
- Multiplicity: 1290
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,35)\)
- Multiplicity: 81209
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,43,40)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,26)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,21)\)
- Multiplicity: 196
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,35)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,40)\)
- Multiplicity: 27536
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,26)\)
- Multiplicity: 23315
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,40)\)
- Multiplicity: 58924
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,31)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,26)\)
- Multiplicity: 18349
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,22,40)\)
- Multiplicity: 2977
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,45)\)
- Multiplicity: 569
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,31)\)
- Multiplicity: 48694
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,26)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,45)\)
- Multiplicity: 6945
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,31)\)
- Multiplicity: 120904
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,17)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,48,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,45)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,50)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,31)\)
- Multiplicity: 10921
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,17)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,36)\)
- Multiplicity: 15929
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,50)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,22)\)
- Multiplicity: 684
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,36)\)
- Multiplicity: 141934
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,22)\)
- Multiplicity: 2878
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,27,36)\)
- Multiplicity: 43644
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,41,41)\)
- Multiplicity: 497
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,27)\)
- Multiplicity: 3349
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,22)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,20,36)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,41)\)
- Multiplicity: 31417
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{16,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{16,1}(2,0;6)\). 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 \(\beta_{16,\textbf{a}}(2,0;6)\). 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!