 \left(\begin{array}{ccccccccc} 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0\\ 0&0&0&0&0&0&0&0&0 \end{array}\right) = \left\{\begin{array}{c} |0\rangle\\ |0\rangle\\ |0\rangle \end{array} \right\} \otimes \left\{\begin{array}{c} |0\rangle\\ |0\rangle\\ |0\rangle \end{array} \right\},$$  $$B_0 = \frac{0}{0} \left(\begin{array}{ccccccccc} 0&0&0&0&0&0&0&0&0\\ 0&\alpha_0&\alpha_0^0&0&\alpha_0&\alpha_0^0&0&\alpha_0&\alpha_0^0\\ 0&\alpha_0^0&\alpha_0&0&\alpha_0^0&\alpha_0&0&\alpha_0^0&\alpha_0\\ 0&0&0&\alpha_0&\alpha_0&\alpha_0&\alpha_0^0&\alpha_0^0&\alpha_0^0\\ 0&\alpha_0&\alpha_0^0&\alpha_0&\alpha_0^0&0&\alpha_0^0&0&\alpha_0\\ 0&\alpha_0^0&\alpha_0&\alpha_0&0&\alpha_0^0&\alpha_0^0&\alpha_0&0\\ 0&0&0&\alpha_0^0&\alpha_0^0&\alpha_0^0&\alpha_0&\alpha_0&\alpha_0\\ 0&\alpha_0&\alpha_0^0&\alpha_0^0&0&\alpha_0&\alpha_0&\alpha_0^0&0\\ 0&\alpha_0^0&\alpha_0&\alpha_0^0&\alpha_0&0&\alpha_0&0&\alpha_0^0 \end{array}\right) = \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\} \otimes \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\},$$  $$B_0 = \frac{0}{0} \left(\begin{array}{ccccccccc} 0&0&0&0&0&0&0&0&0\\ \alpha_0&\alpha_0^0&0&\alpha_0&\alpha_0^0&0&\alpha_0&\alpha_0^0&0\\ \alpha_0&0&\alpha_0^0&\alpha_0&0&\alpha_0^0&\alpha_0&0&\alpha_0^0\\ \alpha_0&\alpha_0&\alpha_0&\alpha_0^0&\alpha_0^0&\alpha_0^0&0&0&0\\ \alpha_0^0&0&\alpha_0&0&\alpha_0&\alpha_0^0&\alpha_0&\alpha_0^0&0\\ \alpha_0^0&\alpha_0&0&0&\alpha_0^0&\alpha_0&\alpha_0&0&\alpha_0^0\\ \alpha_0&\alpha_0&\alpha_0&0&0&0&\alpha_0^0&\alpha_0^0&\alpha_0^0\\ \alpha_0^0&0&\alpha_0&\alpha_0&\alpha_0^0&0&0&\alpha_0&\alpha_0^0\\ \alpha_0^0&\alpha_0&0&\alpha_0&0&\alpha_0^0&0&\alpha_0^0&\alpha_0 \end{array}\right) = \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\} \otimes \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\},$$  $$B_0 = \frac{0}{0} \left(\begin{array}{ccccccccc} 0&0&0&0&0&0&0&0&0\\ \alpha_0^0&0&\alpha_0&\alpha_0^0&0&\alpha_0&\alpha_0^0&0&\alpha_0\\ \alpha_0^0&\alpha_0&0&\alpha_0^0&\alpha_0&0&\alpha_0^0&\alpha_0&0\\ \alpha_0^0&\alpha_0^0&\alpha_0^0&0&0&0&\alpha_0&\alpha_0&\alpha_0\\ \alpha_0&\alpha_0^0&0&\alpha_0^0&0&\alpha_0&0&\alpha_0&\alpha_0^0\\ \alpha_0&0&\alpha_0^0&\alpha_0^0&\alpha_0&0&0&\alpha_0^0&\alpha_0\\ \alpha_0^0&\alpha_0^0&\alpha_0^0&\alpha_0&\alpha_0&\alpha_0&0&0&0\\ \alpha_0&\alpha_0^0&0&0&\alpha_0&\alpha_0^0&\alpha_0^0&0&\alpha_0\\ \alpha_0&0&\alpha_0^0&0&\alpha_0^0&\alpha_0&\alpha_0^0&\alpha_0&0 \end{array}\right) = \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\} \otimes \left\{\begin{array}{c} |0_0\rangle\\ |0_0\rangle\\ |0_0\rangle \end{array} \right\},$$  $$\begin{aligned} B_0 & = & \frac{0}{0} \left(\begin{array}{ccccccccc} 0&0&0&0&0&0&0&0&0\\ \alpha_0&\alpha_0^0&0&\alpha_0&0&0&\alpha_0&\alpha_0^0&0\\ \alpha_0&0&\alpha_0^0&\alpha_0&