 $$\begin{aligned} \Omega_{\{0,0,0,0\}}^{(0,0)}[(0,0,0,0),(0,0,0,0)]=\sum_{i_0,i_0,j_0,\cdots,j_0}a_{i_0,j_0}^0a_{i_0,j_0}^0a_{i_0,j_0}^0a_{i_0,j_0}^0,\end{aligned}$$  $$\begin{aligned} \Omega_{\{0,0,0,0\}}^{(0,0)}[(0,0,0,0),(0,0,0,0)]=\sum_{i_0,i_0,j_0,\cdots,j_0}a_{i_0,j_0}^0a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}^0,\end{aligned}$$  $$\begin{aligned} \Omega_{\{0,0,0,0\}}^{(0,0)}[(0,0,0,0),(0,0,0,0)]_0=\sum_{i_0,i_0,j_0\neq\cdots\neq j_0}a_{i_0,j_0}^0a_{i_0,j_0}^0a_{i_0,j_0}^0a_{i_0,j_0}^0,\end{aligned}$$  $$\begin{aligned} \Omega_{\{0,0,0,0\}}^{(0,0)}[(0,0,0,0),(0,0,0,0)]_0=\sum_{i_0,i_0,j_0\neq\cdots\neq j_0}a_{i_0,j_0}^0a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}a_{i_0,j_0}^0