\begin{align*} k_0 + k_1 i + k_2 \sqrt{2} + k_3 i \sqrt{2}) &\underrightarrow{\hspace*{.5cm} e \hspace*{.5cm}} k_0 + k_1 i + k_2 \sqrt{2} + k_3 i \sqrt{2} \ k_0 + k_1 ...