,0)$, and therefore we have $$\left\langle \prod_{i=0}^m \det(I+x_i M) \right\rangle_{G(n,r)} = \prod_{i=0}^m (0+x_i)^r \cdot  \left\langle \prod_{i=0}^m \Psi^{{\mathrm{BC}}}(\bz;x_i) \right\rangle_{n}^{