Consider the quadratic equation $$(n^2 - 2n + 2)x^2 - 3x + (n^2 - 2n + 2)^2 = 0, n \in \mathbb{R}$$. 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 $$\dfrac{\alpha}{\beta}$$, is :

A

$$\dfrac{61}{37}$$

B

$$\dfrac{121}{81}$$

C

$$\dfrac{364}{243}$$

D

$$\dfrac{1093}{729}$$