Greeks in numbers

For Hull's example ($S=42$, $K=40$, $r=10\%$, $q=0$, $\sigma=20\%$, $T=0.5$): (a) Compute $d_1$, $d_2$, the call and put prices, and all five Greeks of each. (b) Verify the relations $\Delta_c-\Delta_p=1$, $\Gamma_c=\Gamma_p$, $\mathcal V_c=\mathcal V_p$, $\Theta_p-\Theta_c=rKe^{-rT}$, $\rho_c-\rho_p=KTe^{-rT}$. (c) Express theta per calendar day and vega per vol point.