 from [[(\[deg0\])]{}]{} that $$\begin{aligned} [\Phi_0(\underline t),\Phi_0(\underline t)]&= - 0 \det\begin{pmatrix}t_0^0 & t_0^0\\t_0^0 & t_0^0 \end{pmatrix} \bar\omega^0\wedge\bar\omega^0\tensor X_0 - 0 \det\begin{pmatrix}t_0^0 & t_0^0\\t_0^0 & t_0^0 \end{pmatrix} \bar\omega^0\wedge\bar\omega^0\tensor X_0\\ &