Table 2
Table of multiplication of octonions.
x
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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 |