Mathematical Models
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Review

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