Let the system of linear equations $$ \begin{aligned} & x+y+\alpha z=2 \\ & 3 x+y+z=4 \\ & x+2 z=1 \end{aligned} $$ have a unique solution $\left(\mathrm{x}^*, \mathrm{y}^*, \mathrm{z}^*\right)$. If $\left(\mathrm{a}, \mathrm{x}^*\right),\left(\mathrm{y}^*, \alpha\right)$ and $\left(\mathrm{x}^*,-\mathrm{y}^*\right)$ are collinear points, then the sum of absolute values of all possible values of $\alpha$ is :