Given the following rotation matrix, solve for the Omega, Phi, Kappa $(,,x)$ and Azimuth, Tilt, Swing $(a,t,s)$ in decimal degrees to the nearest $\frac{1}{1000}$ of a degree. Do by hand and show all work.

$M=\left[\begin{array}{ccc}0\mathrm{.}63711071& 0\mathrm{.}77060128& -0\mathrm{.}01623610\\ -0\mathrm{.}77044034& 0\mathrm{.}63607683& -0\mathrm{.}04275455\\ -0\mathrm{.}02261931& 0\mathrm{.}03974833& 0\mathrm{.}99895367\end{array}\right]$