| \(S_{1}\) | \(S_{2}\) | \(S_{3}\) | \(S_{4}\) | \(S_{5}\) | \(S_{6}\) | |
|---|---|---|---|---|---|---|
| \(H_{1}\) | \(S_{2}\) | \(-S_{1}\) | \(-S_{4}\) | \(S_{3}\) | 0 | 0 |
| \(H_{2}\) | 0 | 0 | \(S_{4}\) | \(-S_{3}\) | \(-S_{6}\) | \(S_{5}\) |
| \(L_{12}\) | \(-S_{3}\) | \(-S_{4}\) | \(S_{1}\) | \(S_{2}\) | 0 | 0 |
| \(L_{21}\) | \(S_{4}\) | \(-S_{3}\) | \(S_{2}\) | \(-S_{1}\) | 0 | 0 |
| \(L_{13}\) | \(-S_{5}\) | \(-S_{6}\) | 0 | 0 | \(S_{1}\) | \(S_{2}\) |
| \(L_{31}\) | \(S_{6}\) | \(-S_{5}\) | 0 | 0 | \(S_{2}\) | \(-S_{1}\) |
| \(L_{23}\) | 0 | 0 | \(-S_{5}\) | \(-S_{6}\) | \(S_{3}\) | \(S_{4}\) |
| \(L_{32}\) | 0 | 0 | \(S_{6}\) | \(-S_{5}\) | \(S_{4}\) | \(-S_{3}\) |
columns: | \(S_{1}\) | \(S_{2}\) | \(S_{3}\) | \(S_{4}\) | \(S_{5}\) | \(S_{6}\)
| \(\mu_{1}-\frac{1}{3} \nu+r=0\) | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|
| \(\mu_{2}-\frac{1}{3} \nu+r=0\) | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
| \(-\mu_{3}+\frac{1}{3} \nu+r=0\) | 1 | 2 | 1 | 0 | 0 | 0 | 1 |
| \(\mu_{1}-\frac{1}{3} \nu-r=0\) | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| \(\mu_{2}-\frac{1}{3} \nu+r=0\) | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| \(-\mu_{3}-\frac{1}{3} \nu-r=0\) | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
columns: \(\mu_{1}-\frac{1}{3} \nu+r=0\) | 1 | 1 | 0 | 0 | 0 | 0 | 0
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}+\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 2 | 2 | 1 | 1 |
|---|---|---|---|---|---|---|---|
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}+\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu-r=1\) | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu+r=1\) | 2 | 4 | 3 | 2 | 1 | 1 | 2 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu-r=1\) | 2 | 3 | 3 | 2 | 1 | 1 | 2 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}+\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 2 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}+\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu-r=1\) | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu+r=1\) | 2 | 4 | 3 | 2 | 1 | 0 | 2 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu-r=1\) | 2 | 3 | 3 | 2 | 1 | 0 | 2 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}+\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 2 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}+\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu-r=1\) | 2 | 2 | 2 | 2 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}-\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu+r=1\) | 1 | 2 | 1 | 0 | 0 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}-\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{2}+\frac{1}{3} \nu-r=1\) | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}-\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu+r=1\) | 1 | 0 | 0 | 0 | 0 | 0 | |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}-\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu-r=1\) | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu+r=1\) | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu-r=1\) | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{3}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 1 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}-\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{3}-\frac{1}{3} \nu-r=1\) | 2 | 2 | 2 | 1 | 1 | 1 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu+r=1\) | 1 | 2 | 1 | 1 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}-\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu-r=1\) | 1 | 1 | 1 | 1 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{3}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 1 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}-\lambda_{1}+\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{3}-\frac{1}{3} \nu-r=1\) | 2 | 2 | 2 | 1 | 1 | 0 | 1 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}+\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu+r=1\) | 2 | 4 | 3 | 3 | 2 | 1 | 2 |
| \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}+\lambda_{2}+\lambda_{3}\right)+\frac{1}{2} \mu_{3}+\frac{1}{3} \nu-r=1\) | 2 | 3 | 3 | 3 | 2 | 1 | 2 |
columns: \(\frac{1}{2}\left(\lambda_{0}+\lambda_{1}+\lambda_{2}-\lambda_{3}\right)-\frac{1}{2} \mu_{2}-\frac{1}{3} \nu+r=1\) | 2 | 3 | 2 | 2 | 2 | 1 | 1