Let $M = \left[\begin{array}{ccc} -2 &1 &-2\cr 2 &3 &-2\cr 2 &-1 &1 \end{array}\right]$. Find $c_1$, $c_2$, and $c_3$ such that $M^3 + c_1 M^2 + c_2 M + c_3 I_3 = 0$, where $I_3$ is the identity $3\times 3$ matrix.

$c_1=$ ,
$c_2=$ ,
$c_3=$ .