Table 2 is arranged by increasing size.
Table 2 — 6-D Core Matrices
s6→s1 (s1/s6)
|
| 0 | 0 | 0 | 0 | -1 | 1 |
| 0 | 0 | 0 | -1 | 1 | 0 |
| 0 | 0 | -1 | 1 | 0 | 0 |
| 0 | -1 | -1 | 0 | 0 | 0 |
| -1 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 |
|
s5→s1 (s1/s5)
|
| -1 | -1 | 0 | 1 | 1 | -1 |
| -1 | -1 | 0 | 1 | 0 | 0 |
| 0 | 0 | 0 | -1 | 0 | 1 |
| 1 | 1 | -1 | -1 | 0 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| -1 | 0 | 1 | 1 | 0 | -1 |
|
s4→s1 (s1/s4)
|
| 1 | 0 | 0 | 1 | 0 | -1 |
| 0 | 1 | 1 | 0 | 0 | -1 |
| 0 | 1 | 1 | 0 | -1 | 0 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | -1 | 0 | 1 | 0 |
| -1 | -1 | 0 | 0 | 0 | 1 |
|
s3→s1 (s1/s3)
|
| 0 | -1 | 1 | 1 | -1 | 0 |
| -1 | 1 | 0 | 0 | 1 | -1 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 | -1 | 1 |
| -1 | 1 | 0 | -1 | 1 | 0 |
| 0 | -1 | 0 | 1 | 0 | 0 |
|
s6→s2 (s2/s6)
|
| 0 | 0 | 0 | -1 | 1 | 0 |
| 0 | 0 | -1 | 1 | -1 | 1 |
| 0 | -1 | 1 | -1 | 1 | 0 |
| -1 | 1 | -1 | 1 | 0 | 0 |
| 1 | -1 | 1 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 | 0 | 0 |
|
s5→s2 (s2/s5)
|
| -1 | -1 | 0 | 1 | 0 | 0 |
| -1 | -1 | 0 | 0 | 1 | 0 |
| 0 | 0 | -1 | 0 | 0 | 1 |
| 1 | 0 | 0 | -1 | 0 | 1 |
| 0 | 1 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 | -1 |
|
s2→s1 (s1/s2)
|
| -1 | 1 | 1 | -1 | -1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | -1 | 1 | 1 | -1 |
| -1 | 0 | 1 | 0 | 0 | 0 |
| -1 | 0 | 1 | 0 | -1 | 1 |
| 1 | 0 | -1 | 0 | 1 | 0 |
|
s4→s2 (s2/s4)
|
| 0 | 1 | 1 | 0 | 0 | -1 |
| 1 | 1 | 1 | 1 | -1 | -1 |
| 1 | 1 | 1 | 0 | 0 | -1 |
| 0 | 1 | 0 | 0 | 0 | 0 |
| 0 | -1 | 0 | 0 | 0 | 1 |
| -1 | -1 | -1 | 0 | 1 | 1 |
|
s6→s3 (s3/s6)
|
| 0 | 0 | -1 | 1 | 0 | 0 |
| 0 | -1 | 1 | -1 | 1 | 0 |
| -1 | 1 | -1 | 1 | -1 | 1 |
| 1 | -1 | 1 | -1 | 1 | 0 |
| 0 | 1 | -1 | 1 | 0 | 0 |
| 0 | 0 | 1 | 0 | 0 | 0 |
|
s3→s2 (s2/s3)
|
| -1 | 1 | 0 | 0 | 1 | -1 |
| 1 | -1 | 1 | 1 | -1 | 0 |
| 0 | 1 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | -1 | 1 | 0 |
| 1 | -1 | 0 | 1 | -1 | 1 |
| -1 | 0 | 0 | 0 | 1 | 0 |
|
s5→s3 (s3/s5)
|
| 0 | 0 | 0 | -1 | 0 | 1 |
| 0 | 0 | -1 | 0 | 0 | 1 |
| 0 | -1 | 0 | 0 | 1 | 0 |
| -1 | 0 | 0 | 1 | 0 | 0 |
| 0 | 0 | 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 0 |
|
s4→s3 (s3/s4)
|
| 0 | 1 | 1 | 0 | -1 | 0 |
| 1 | 1 | 1 | 0 | 0 | -1 |
| 1 | 1 | 0 | 1 | 0 | -1 |
| 0 | 0 | 1 | 0 | 0 | 0 |
| -1 | 0 | 0 | 0 | 0 | 1 |
| 0 | -1 | -1 | 0 | 1 | 1 |
|
s6→s4 (s4/s6)
|
| 0 | -1 | 1 | 0 | 0 | 0 |
| -1 | 1 | -1 | 1 | 0 | 0 |
| 1 | -1 | 1 | -1 | 1 | 0 |
| 0 | 1 | -1 | 1 | -1 | 1 |
| 0 | 0 | 1 | -1 | 1 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 |
|
s5→s4 (s4/s5)
|
| 1 | 1 | -1 | -1 | 0 | 1 |
| 1 | 0 | 0 | -1 | 0 | 1 |
| -1 | 0 | 0 | 1 | 0 | 0 |
| -1 | -1 | 1 | 1 | 1 | -1 |
| 0 | 0 | 0 | 1 | 0 | 0 |
| 1 | 1 | 0 | -1 | 0 | 1 |
|
s6→s5 (s5/s6)
|
| -1 | -1 | 0 | 0 | 0 | 0 |
| 1 | -1 | 1 | 0 | 0 | 0 |
| 0 | 1 | -1 | 1 | 0 | 0 |
| 0 | 0 | 1 | -1 | 1 | 0 |
| 0 | 0 | 0 | 1 | -1 | 1 |
| 0 | 0 | 0 | 0 | 1 | 0 |
|
s5→s6 (s6/s5)
|
| -1 | 0 | 1 | 1 | 0 | -1 |
| 0 | 0 | 1 | 1 | 0 | -1 |
| 1 | 1 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | -1 | 0 | 1 |
| 0 | 0 | 0 | 0 | 0 | 1 |
| -1 | -1 | 0 | 1 | 1 | 0 |
|
s4→s5 (s5/s4)
|
| 0 | 0 | -1 | 0 | 1 | 0 |
| 0 | -1 | 0 | 0 | 0 | 1 |
| -1 | 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 0 | 1 | 0 |
| 1 | 0 | 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 | 0 |
|
s4→s6 (s6/s4)
|
| -1 | -1 | 0 | 0 | 0 | 1 |
| -1 | -1 | -1 | 0 | 1 | 1 |
| 0 | -1 | -1 | 0 | 1 | 1 |
| 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 0 | -1 |
|
s3→s4 (s4/s3)
|
| 1 | 0 | 0 | 0 | -1 | 1 |
| 0 | 1 | 0 | -1 | 1 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 |
| 0 | -1 | 1 | 1 | 0 | 0 |
| -1 | 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 0 | 0 | 0 | 1 |
|
s3→s5 (s5/s3)
|
| -1 | 1 | 0 | -1 | 1 | 0 |
| 1 | -1 | 0 | 1 | -1 | 1 |
| 0 | 0 | 0 | 0 | 1 | 0 |
| -1 | 1 | 0 | 0 | 1 | 0 |
| 1 | -1 | 1 | 1 | -1 | 1 |
| 0 | 1 | 0 | 0 | 1 | 0 |
|
s2→s3 (s3/s2)
|
| 1 | 0 | -1 | 1 | 1 | -1 |
| 0 | 0 | 1 | 0 | 0 | 0 |
| -1 | 1 | 1 | 0 | -1 | 1 |
| 1 | 0 | 0 | 0 | 1 | 0 |
| 1 | 0 | -1 | 1 | 1 | 0 |
| -1 | 0 | 1 | 0 | 0 | 1 |
|
s3→s6 (s6/s3)
|
| 0 | -1 | 0 | 1 | 0 | -0 |
| -1 | 0 | 0 | 0 | 1 | 0 |
| 0 | 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 0 | 0 | 1 |
| 0 | 1 | 0 | 0 | 1 | 0 |
| 0 | 0 | 1 | 1 | 0 | 0 |
|
s2→s4 (s4/s2)
|
| -1 | 0 | 1 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 | 0 | 1 |
| 0 | 0 | 0 | 1 | 1 | 0 |
|
s1→s2 (s2/s1)
|
| 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 | 0 |
| 0 | 0 | 1 | 0 | 1 | 0 |
| 0 | 0 | 0 | 1 | 0 | 1 |
| 0 | 0 | 0 | 0 | 1 | 1 |
|
s2→s5 (s5/s2)
|
| -1 | 0 | 1 | 0 | -1 | 1 |
| 0 | 0 | 0 | 0 | 1 | 0 |
| 1 | 0 | -1 | 1 | 1 | 0 |
| 0 | 0 | 1 | 0 | 0 | 1 |
| -1 | 1 | 1 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 | 0 |
|
s2→s6 (s6/s2)
|
| 1 | 0 | -1 | 0 | 1 | 0 |
| 0 | 0 | 0 | 0 | 0 | 1 |
| -1 | 0 | 1 | 0 | 0 | 1 |
| 0 | 0 | 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 0 | 1 |
|
s1→s3 (s3/s1)
|
| 0 | 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 | 1 |
| 0 | 0 | 1 | 0 | 1 | 1 |
| 0 | 0 | 0 | 1 | 1 | 1 |
|
s1→s4 (s4/s1)
|
| 0 | 0 | 0 | 1 | 0 | 0 |
| 0 | 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 | 1 | 1 |
| 0 | 0 | 1 | 1 | 1 | 1 |
|
s1→s5 (s5/s1)
|
| 0 | 0 | 0 | 0 | 1 | 0 |
| 0 | 0 | 0 | 1 | 0 | 1 |
| 0 | 0 | 1 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 | 1 | 1 |
| 1 | 0 | 1 | 1 | 1 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 |
|
s1→s6 (s6/s1)
|
| 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 0 | 1 | 1 |
| 0 | 0 | 0 | 1 | 1 | 1 |
| 0 | 0 | 1 | 1 | 1 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 |
|