| 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 | 1 | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · |
| 1 | · | 315 | 4950 | 41850 | 240120 | 1024650 | 3415500 | 9164925 | 20189400 | 36989865 | 56831850 | 73547100 | 80233200 | 73547100 | 56163240 | 35102025 | 17305200 | 6181777 | 1167911 | 172304 | 17890 | 945 | · | · | · | · |
| 2 | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | 52852 | 143261 | 604934 | 473290 | 218295 | 69300 | 15525 | 2376 | 225 | 10 |
| 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) |
| 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 | 1 | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · |
| 1 | · | 3 | 28 | 179 | 808 | 2865 | 8263 | 19743 | 39685 | 67750 | 98722 | 123120 | 131367 | 119370 | 91464 | 57953 | 29087 | 10408 | 1482 | 239 | 21 | 1 | · | · | · | · |
| 2 | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | · | 139 | 242 | 1705 | 1434 | 759 | 294 | 88 | 20 | 3 | 1 |
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{0,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{0,0}(2,0;6)\). 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!
| -1 | 0 | 1 | |
|---|---|---|---|
| -1 | · | · | · |
| 0 | · | 1 | · |
| 1 | · | · | · |
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{0,\textbf{a}}(2,0;6)\). 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!
| 0 | 1 | |
|---|---|---|
| 0 | 1 | · |
| 1 | · | · |