The following operation table will be used.<ref name="fenwick2014" /> It may be obtained from the totally anti-symmetric quasigroup <{{math>|''x*'' ∗ ''y</math>''}} in Damm's doctoral dissertation page 111<ref name="dhmd" /> by rearranging the rows and changing the entries with the permutation <{{math>\varphi|1=''φ'' = (1 ~ 2 ~ 9 ~ 5 ~ 4 ~ 8 ~ 6 ~ 7 ~ 3)</math>}} and defining <{{math>|1=''x\cdot'' ⋅ ''y'' := \varphi^{-''φ''<sup>''−1}''</sup>(\varphi''φ''(''x'')* ∗ ''y'')</math>}}.
