An even (cyclic) permutation of the indices $$\class{blue}{i}$$, $$\class{red}{j}$$, and $$\class{green}{k}$$ of the Levi-Civita symbol $$\varepsilon_{\class{blue}{i}\class{red}{j}\class{green}{k}}$$ results from rotating the indices clockwise (or counterclockwise) like this:$\varepsilon_{\class{blue}{i}\class{red}{j}\class{green}{k}} ~\rightarrow~ \varepsilon_{\class{green}{k}\class{blue}{i}\class{red}{j}} ~\rightarrow~ \varepsilon_{\class{red}{j}\class{green}{k}\class{blue}{i}}$