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) |
\(\lambda=(41,39,37)\)
- Multiplicity: 164
- Dimension: 27
- Dominant: No
\(\lambda=(51,35,31)\)
- Multiplicity: 36
- Dimension: 935
- Dominant: No
\(\lambda=(52,41,24)\)
- Multiplicity: 1
- Dimension: 3240
- Dominant: Yes
\(\lambda=(47,43,27)\)
- Multiplicity: 99
- Dimension: 935
- Dominant: No
\(\lambda=(46,37,34)\)
- Multiplicity: 411
- Dimension: 280
- Dominant: No
\(\lambda=(44,40,33)\)
- Multiplicity: 567
- Dimension: 260
- Dominant: No
\(\lambda=(49,38,30)\)
- Multiplicity: 182
- Dimension: 1134
- Dominant: No
\(\lambda=(50,44,23)\)
- Multiplicity: 3
- Dimension: 2233
- Dominant: No
\(\lambda=(51,33,33)\)
- Multiplicity: 8
- Dimension: 190
- Dominant: No
\(\lambda=(52,39,26)\)
- Multiplicity: 5
- Dimension: 2744
- Dominant: No
\(\lambda=(48,47,22)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(47,41,29)\)
- Multiplicity: 257
- Dimension: 910
- Dominant: No
\(\lambda=(44,38,35)\)
- Multiplicity: 474
- Dimension: 154
- Dominant: No
\(\lambda=(50,42,25)\)
- Multiplicity: 17
- Dimension: 2187
- Dominant: No
\(\lambda=(49,36,32)\)
- Multiplicity: 165
- Dimension: 665
- Dominant: No
\(\lambda=(45,44,28)\)
- Multiplicity: 87
- Dimension: 323
- Dominant: No
\(\lambda=(42,41,34)\)
- Multiplicity: 283
- Dimension: 80
- Dominant: No
\(\lambda=(52,37,28)\)
- Multiplicity: 11
- Dimension: 2080
- Dominant: No
\(\lambda=(48,45,24)\)
- Multiplicity: 11
- Dimension: 1144
- Dominant: No
\(\lambda=(47,39,31)\)
- Multiplicity: 406
- Dimension: 729
- Dominant: No
\(\lambda=(50,40,27)\)
- Multiplicity: 50
- Dimension: 1925
- Dominant: No
\(\lambda=(49,34,34)\)
- Multiplicity: 44
- Dimension: 136
- Dominant: No
\(\lambda=(45,42,30)\)
- Multiplicity: 315
- Dimension: 442
- Dominant: No
\(\lambda=(42,39,36)\)
- Multiplicity: 321
- Dimension: 64
- Dominant: No
\(\lambda=(52,35,30)\)
- Multiplicity: 13
- Dimension: 1296
- Dominant: No
\(\lambda=(48,43,26)\)
- Multiplicity: 56
- Dimension: 1296
- Dominant: No
\(\lambda=(47,37,33)\)
- Multiplicity: 370
- Dimension: 440
- Dominant: No
\(\lambda=(50,38,29)\)
- Multiplicity: 89
- Dimension: 1495
- Dominant: No
\(\lambda=(46,46,25)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(45,40,32)\)
- Multiplicity: 557
- Dimension: 405
- Dominant: No
\(\lambda=(43,43,31)\)
- Multiplicity: 114
- Dimension: 91
- Dominant: No
\(\lambda=(52,33,32)\)
- Multiplicity: 6
- Dimension: 440
- Dominant: No
\(\lambda=(48,41,28)\)
- Multiplicity: 157
- Dimension: 1232
- Dominant: No
\(\lambda=(47,35,35)\)
- Multiplicity: 86
- Dimension: 91
- Dominant: No
\(\lambda=(40,40,37)\)
- Multiplicity: 69
- Dimension: 10
- Dominant: No
\(\lambda=(45,38,34)\)
- Multiplicity: 539
- Dimension: 260
- Dominant: No
\(\lambda=(50,36,31)\)
- Multiplicity: 95
- Dimension: 945
- Dominant: No
\(\lambda=(51,42,24)\)
- Multiplicity: 4
- Dimension: 2755
- Dominant: No
\(\lambda=(46,44,27)\)
- Multiplicity: 77
- Dimension: 567
- Dominant: No
\(\lambda=(43,41,33)\)
- Multiplicity: 403
- Dimension: 162
- Dominant: No
\(\lambda=(49,45,23)\)
- Multiplicity: 3
- Dimension: 1610
- Dominant: No
\(\lambda=(53,37,27)\)
- Multiplicity: 1
- Dimension: 2618
- Dominant: No
\(\lambda=(48,39,30)\)
- Multiplicity: 274
- Dimension: 1000
- Dominant: No
\(\lambda=(45,36,36)\)
- Multiplicity: 139
- Dimension: 55
- Dominant: No
\(\lambda=(50,34,33)\)
- Multiplicity: 42
- Dimension: 323
- Dominant: No
\(\lambda=(51,40,26)\)
- Multiplicity: 15
- Dimension: 2430
- Dominant: No
\(\lambda=(46,42,29)\)
- Multiplicity: 255
- Dimension: 665
- Dominant: No
\(\lambda=(43,39,35)\)
- Multiplicity: 466
- Dimension: 125
- Dominant: No
\(\lambda=(49,43,25)\)
- Multiplicity: 23
- Dimension: 1729
- Dominant: No
\(\lambda=(53,35,29)\)
- Multiplicity: 2
- Dimension: 1729
- Dominant: No
\(\lambda=(48,37,32)\)
- Multiplicity: 288
- Dimension: 648
- Dominant: No
\(\lambda=(51,38,28)\)
- Multiplicity: 34
- Dimension: 1925
- Dominant: No
\(\lambda=(47,46,24)\)
- Multiplicity: 7
- Dimension: 575
- Dominant: No
\(\lambda=(46,40,31)\)
- Multiplicity: 474
- Dimension: 595
- Dominant: No
\(\lambda=(43,37,37)\)
- Multiplicity: 120
- Dimension: 28
- Dominant: No
\(\lambda=(44,43,30)\)
- Multiplicity: 181
- Dimension: 224
- Dominant: No
\(\lambda=(49,41,27)\)
- Multiplicity: 76
- Dimension: 1620
- Dominant: No
\(\lambda=(53,33,31)\)
- Multiplicity: 1
- Dimension: 756
- Dominant: No
\(\lambda=(48,35,34)\)
- Multiplicity: 126
- Dimension: 224
- Dominant: No
\(\lambda=(41,40,36)\)
- Multiplicity: 194
- Dimension: 35
- Dominant: No
\(\lambda=(51,36,30)\)
- Multiplicity: 43
- Dimension: 1288
- Dominant: No
\(\lambda=(47,44,26)\)
- Multiplicity: 50
- Dimension: 874
- Dominant: No
\(\lambda=(46,38,33)\)
- Multiplicity: 516
- Dimension: 405
- Dominant: No
\(\lambda=(44,41,32)\)
- Multiplicity: 467
- Dimension: 280
- Dominant: No
\(\lambda=(49,39,29)\)
- Multiplicity: 151
- Dimension: 1331
- Dominant: No
\(\lambda=(50,45,22)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: Yes
\(\lambda=(41,38,38)\)
- Multiplicity: 69
- Dimension: 10
- Dominant: No
\(\lambda=(51,34,32)\)
- Multiplicity: 28
- Dimension: 567
- Dominant: No
\(\lambda=(52,40,25)\)
- Multiplicity: 2
- Dimension: 3016
- Dominant: No
\(\lambda=(47,42,28)\)
- Multiplicity: 175
- Dimension: 945
- Dominant: No
\(\lambda=(46,36,35)\)
- Multiplicity: 229
- Dimension: 143
- Dominant: No
\(\lambda=(44,39,34)\)
- Multiplicity: 575
- Dimension: 216
- Dominant: No
\(\lambda=(50,43,24)\)
- Multiplicity: 8
- Dimension: 2240
- Dominant: No
\(\lambda=(49,37,31)\)
- Multiplicity: 182
- Dimension: 910
- Dominant: No
\(\lambda=(45,45,27)\)
- Multiplicity: 26
- Dimension: 190
- Dominant: No
\(\lambda=(42,42,33)\)
- Multiplicity: 153
- Dimension: 55
- Dominant: No
\(\lambda=(52,38,27)\)
- Multiplicity: 8
- Dimension: 2430
- Dominant: No
\(\lambda=(48,46,23)\)
- Multiplicity: 4
- Dimension: 972
- Dominant: No
\(\lambda=(47,40,30)\)
- Multiplicity: 349
- Dimension: 836
- Dominant: No
\(\lambda=(39,39,39)\)
- Multiplicity: 6
- Dimension: 1
- Dominant: No
\(\lambda=(44,37,36)\)
- Multiplicity: 267
- Dimension: 80
- Dominant: No
\(\lambda=(50,41,26)\)
- Multiplicity: 31
- Dimension: 2080
- Dominant: No
\(\lambda=(49,35,33)\)
- Multiplicity: 109
- Dimension: 405
- Dominant: No
\(\lambda=(45,43,29)\)
- Multiplicity: 182
- Dimension: 405
- Dominant: No
\(\lambda=(42,40,35)\)
- Multiplicity: 355
- Dimension: 81
- Dominant: No
\(\lambda=(52,36,29)\)
- Multiplicity: 13
- Dimension: 1700
- Dominant: No
\(\lambda=(48,44,25)\)
- Multiplicity: 27
- Dimension: 1250
- Dominant: No
\(\lambda=(47,38,32)\)
- Multiplicity: 428
- Dimension: 595
- Dominant: No
\(\lambda=(50,39,28)\)
- Multiplicity: 71
- Dimension: 1728
- Dominant: No
\(\lambda=(45,41,31)\)
- Multiplicity: 443
- Dimension: 440
- Dominant: No
\(\lambda=(42,38,37)\)
- Multiplicity: 192
- Dimension: 35
- Dominant: No
\(\lambda=(52,34,31)\)
- Multiplicity: 11
- Dimension: 874
- Dominant: No
\(\lambda=(48,42,27)\)
- Multiplicity: 101
- Dimension: 1288
- Dominant: No
\(\lambda=(47,36,34)\)
- Multiplicity: 262
- Dimension: 270
- Dominant: No
\(\lambda=(50,37,30)\)
- Multiplicity: 99
- Dimension: 1232
- Dominant: No
\(\lambda=(51,43,23)\)
- Multiplicity: 1
- Dimension: 2835
- Dominant: Yes
\(\lambda=(46,45,26)\)
- Multiplicity: 30
- Dimension: 440
- Dominant: No
\(\lambda=(45,39,33)\)
- Multiplicity: 589
- Dimension: 343
- Dominant: No
\(\lambda=(43,42,32)\)
- Multiplicity: 270
- Dimension: 143
- Dominant: No
\(\lambda=(49,46,22)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(53,38,26)\)
- Multiplicity: 1
- Dimension: 3016
- Dominant: Yes
\(\lambda=(48,40,29)\)
- Multiplicity: 220
- Dimension: 1134
- Dominant: No
\(\lambda=(40,39,38)\)
- Multiplicity: 58
- Dimension: 8
- Dominant: No
\(\lambda=(45,37,35)\)
- Multiplicity: 367
- Dimension: 162
- Dominant: No
\(\lambda=(50,35,32)\)
- Multiplicity: 75
- Dimension: 640
- Dominant: No
\(\lambda=(51,41,25)\)
- Multiplicity: 8
- Dimension: 2618
- Dominant: No
\(\lambda=(46,43,28)\)
- Multiplicity: 151
- Dimension: 640
- Dominant: No
\(\lambda=(43,40,34)\)
- Multiplicity: 492
- Dimension: 154
- Dominant: No
\(\lambda=(49,44,24)\)
- Multiplicity: 10
- Dimension: 1701
- Dominant: No
\(\lambda=(53,36,28)\)
- Multiplicity: 2
- Dimension: 2187
- Dominant: No
\(\lambda=(48,38,31)\)
- Multiplicity: 302
- Dimension: 836
- Dominant: No
\(\lambda=(51,39,27)\)
- Multiplicity: 23
- Dimension: 2197
- Dominant: No
\(\lambda=(47,47,23)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(46,41,30)\)
- Multiplicity: 369
- Dimension: 648
- Dominant: No
\(\lambda=(43,38,36)\)
- Multiplicity: 348
- Dimension: 81
- Dominant: No
\(\lambda=(44,44,29)\)
- Multiplicity: 71
- Dimension: 136
- Dominant: No
\(\lambda=(49,42,26)\)
- Multiplicity: 47
- Dimension: 1700
- Dominant: No
\(\lambda=(53,34,30)\)
- Multiplicity: 3
- Dimension: 1250
- Dominant: No
\(\lambda=(48,36,33)\)
- Multiplicity: 228
- Dimension: 442
- Dominant: No
\(\lambda=(41,41,35)\)
- Multiplicity: 125
- Dimension: 28
- Dominant: No
\(\lambda=(51,37,29)\)
- Multiplicity: 39
- Dimension: 1620
- Dominant: No
\(\lambda=(47,45,25)\)
- Multiplicity: 20
- Dimension: 756
- Dominant: No
\(\lambda=(46,39,32)\)
- Multiplicity: 531
- Dimension: 512
- Dominant: No
\(\lambda=(44,42,31)\)
- Multiplicity: 328
- Dimension: 270
- Dominant: No
\(\lambda=(49,40,28)\)
- Multiplicity: 116
- Dimension: 1495
- Dominant: No
\(\lambda=(53,32,32)\)
- Multiplicity: 1
- Dimension: 253
- Dominant: No
\(\textbf{a}=(39,27,51)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,44)\)
- Multiplicity: 31094
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,30)\)
- Multiplicity: 9120
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,37)\)
- Multiplicity: 86569
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,40,49)\)
- Multiplicity: 792
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,44)\)
- Multiplicity: 520
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,42)\)
- Multiplicity: 4626
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,30)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,23)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,35)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,37)\)
- Multiplicity: 5581
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,33,49)\)
- Multiplicity: 3161
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,42)\)
- Multiplicity: 71714
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,28)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,35)\)
- Multiplicity: 32716
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,26,49)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,47)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,42)\)
- Multiplicity: 25591
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,28)\)
- Multiplicity: 2989
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,35)\)
- Multiplicity: 44341
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,52,40)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,47)\)
- Multiplicity: 7349
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,42)\)
- Multiplicity: 51
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,28)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,33)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,35)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,40)\)
- Multiplicity: 19187
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,47)\)
- Multiplicity: 9507
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,33)\)
- Multiplicity: 31094
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,26)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,40)\)
- Multiplicity: 96845
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,47)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,45)\)
- Multiplicity: 1441
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,33)\)
- Multiplicity: 11377
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,26)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,38)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,40)\)
- Multiplicity: 10664
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,52)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,45)\)
- Multiplicity: 29464
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,31)\)
- Multiplicity: 1020
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,38)\)
- Multiplicity: 44341
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,45,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,45)\)
- Multiplicity: 13785
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,31)\)
- Multiplicity: 16868
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,24)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,38)\)
- Multiplicity: 76982
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,38,50)\)
- Multiplicity: 575
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,24,45)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,43)\)
- Multiplicity: 10146
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,31)\)
- Multiplicity: 1020
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,24)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,36)\)
- Multiplicity: 1020
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,38)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,31,50)\)
- Multiplicity: 1020
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,43)\)
- Multiplicity: 63100
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,29)\)
- Multiplicity: 1242
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,36)\)
- Multiplicity: 60945
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,24,50)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,48)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,43)\)
- Multiplicity: 10146
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,41)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,29)\)
- Multiplicity: 4626
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,22)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,36)\)
- Multiplicity: 33892
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,48)\)
- Multiplicity: 5581
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,41)\)
- Multiplicity: 35633
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,29)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,34)\)
- Multiplicity: 3289
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,36)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,48)\)
- Multiplicity: 3300
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,41)\)
- Multiplicity: 77725
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,27)\)
- Multiplicity: 771
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,34)\)
- Multiplicity: 50057
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,48)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,46)\)
- Multiplicity: 2644
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,41)\)
- Multiplicity: 3436
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,27)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,34)\)
- Multiplicity: 6950
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,39)\)
- Multiplicity: 1242
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,46)\)
- Multiplicity: 21895
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,32)\)
- Multiplicity: 5581
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,39)\)
- Multiplicity: 71714
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,43,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,38)\)
- Multiplicity: 96845
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,41,50)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,27,45)\)
- Multiplicity: 1441
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,43)\)
- Multiplicity: 1097
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,31)\)
- Multiplicity: 7349
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,24)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,53,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,38)\)
- Multiplicity: 17713
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,34,50)\)
- Multiplicity: 1295
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,43)\)
- Multiplicity: 45897
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,29)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,36)\)
- Multiplicity: 21895
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,26,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,27,50)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,43)\)
- Multiplicity: 35633
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,29)\)
- Multiplicity: 5491
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,36)\)
- Multiplicity: 71714
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,48)\)
- Multiplicity: 2236
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,43)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,41)\)
- Multiplicity: 7341
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,29)\)
- Multiplicity: 575
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,34)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,36)\)
- Multiplicity: 2827
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,48)\)
- Multiplicity: 6461
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,41)\)
- Multiplicity: 86569
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,27)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,34)\)
- Multiplicity: 29464
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,48)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,46,46)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,41)\)
- Multiplicity: 23264
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,27)\)
- Multiplicity: 1350
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,34)\)
- Multiplicity: 29464
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,52,39)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,53)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,39,46)\)
- Multiplicity: 14283
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,32)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,27)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,34)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,39)\)
- Multiplicity: 24667
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,25,41)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,32,46)\)
- Multiplicity: 14283
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,32)\)
- Multiplicity: 23264
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,25)\)
- Multiplicity: 51
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,39)\)
- Multiplicity: 96845
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,39,51)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,25,46)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,44)\)
- Multiplicity: 2989
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,32)\)
- Multiplicity: 5581
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,25)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,37)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,39)\)
- Multiplicity: 7349
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,51)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,44)\)
- Multiplicity: 44341
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,30)\)
- Multiplicity: 801
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,37)\)
- Multiplicity: 47552
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,25,51)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,49)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,44)\)
- Multiplicity: 16053
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,51,42)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,30)\)
- Multiplicity: 10146
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,23)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,37)\)
- Multiplicity: 63100
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,49)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,44)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,42)\)
- Multiplicity: 16053
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,30)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,35)\)
- Multiplicity: 1196
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,37)\)
- Multiplicity: 801
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,49)\)
- Multiplicity: 2333
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,42)\)
- Multiplicity: 76982
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,28)\)
- Multiplicity: 792
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,35)\)
- Multiplicity: 54813
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,49)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,44,47)\)
- Multiplicity: 520
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,42)\)
- Multiplicity: 9120
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,28)\)
- Multiplicity: 2053
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,35)\)
- Multiplicity: 21895
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,40)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,37,47)\)
- Multiplicity: 11377
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,33)\)
- Multiplicity: 3161
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,35)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,40)\)
- Multiplicity: 45897
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,30,47)\)
- Multiplicity: 5252
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,33)\)
- Multiplicity: 37298
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,26)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,40)\)
- Multiplicity: 77725
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,37,52)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,23,47)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,45)\)
- Multiplicity: 5491
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,33)\)
- Multiplicity: 3161
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,26)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,38)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,40)\)
- Multiplicity: 2236
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,30,52)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,45)\)
- Multiplicity: 33892
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,31)\)
- Multiplicity: 4467
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,38)\)
- Multiplicity: 76982
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,50)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,45)\)
- Multiplicity: 5491
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,49,43)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,31)\)
- Multiplicity: 13785
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,24)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,38)\)
- Multiplicity: 44341
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,50)\)
- Multiplicity: 1020
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,43)\)
- Multiplicity: 25591
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,31)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,36)\)
- Multiplicity: 6461
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,38)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,50)\)
- Multiplicity: 575
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,43)\)
- Multiplicity: 54813
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,29)\)
- Multiplicity: 3436
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,36)\)
- Multiplicity: 77725
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,42,48)\)
- Multiplicity: 771
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,43)\)
- Multiplicity: 2644
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,41)\)
- Multiplicity: 1383
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,29)\)
- Multiplicity: 2236
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,36)\)
- Multiplicity: 12674
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,48)\)
- Multiplicity: 6950
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,41)\)
- Multiplicity: 64790
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,27)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,34)\)
- Multiplicity: 12674
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,28,48)\)
- Multiplicity: 1383
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,46)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,41)\)
- Multiplicity: 50057
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,27)\)
- Multiplicity: 1350
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,34)\)
- Multiplicity: 45897
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,35,53)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,46)\)
- Multiplicity: 7341
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,41)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,32)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,27)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,34)\)
- Multiplicity: 1295
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,39)\)
- Multiplicity: 7349
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,28,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,46)\)
- Multiplicity: 20411
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,32)\)
- Multiplicity: 14283
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,25)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,39)\)
- Multiplicity: 96845
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,51)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,46)\)
- Multiplicity: 1350
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,44)\)
- Multiplicity: 520
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,32)\)
- Multiplicity: 14283
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,25)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,37)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,39)\)
- Multiplicity: 24667
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,51)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,40,44)\)
- Multiplicity: 31094
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,32)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,30)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,37)\)
- Multiplicity: 20411
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,39)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{18,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{18,1}(2,3;6)\). 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 \(\beta_{18,\textbf{a}}(2,3;6)\). 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!