Consider the quadratic equation $\left(\mathrm{n}^2-2 \mathrm{n}+2\right) x^2-3 x+\left(\mathrm{n}^2-2 \mathrm{n}+2\right)^2=0, \mathrm{n} \in \mathbf{R}$. Let $\alpha$ be the minimum value of the product of its roots and $\beta$ be the maximum value of the sum of its roots. Then the sum of the first six terms of the G.P., whose first term is $\alpha$ and the common ratio is $\frac{\alpha}{\beta}$, is :