Table 2
Table of multiplication of octonions.
x
y
|
1 | f 1 | f 2 | f 3 | f 4 | f 5 | f 6 | f 7 |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | f 1 | f 2 | f 3 | f 4 | f 5 | f 6 | f 7 |
| f 1 | f 1 | −1 | f 3 | −f 2 | f 5 | −f 4 | −f 7 | f 6 |
| f 2 | f 2 | −f 3 | −1 | f 1 | f 6 | f 7 | −f 4 | −f 5 |
| f 3 | f 3 | f 2 | −f 1 | −1 | f 7 | −f 6 | f 5 | −f 4 |
| f 4 | f 4 | −f 5 | −f 6 | −f 7 | −1 | f 1 | f 2 | f 3 |
| f 5 | f 5 | f 4 | −f 7 | f 6 | −f 1 | −1 | −f 3 | f 2 |
| f 6 | f 6 | f 7 | f 4 | −f 5 | −f 2 | f 3 | −1 | −f 1 |
| f 7 | f 7 | −f 6 | f 5 | f 4 | −f 3 | −f 2 | f 1 | −1 |