Consider the equation $x ^ { 3 } - 3 x ^ { 2 } + 6 x - 1 = 0 ,$ let $\alpha , \beta , \gamma$ are the roots of the equation then The centroid of the triangle, the coordinate of whose vertices are $\left( \alpha ^ { 2 } , \frac { 1 } { a ^ { 2 } } \right) \cdot \left( \beta ^ { 2 } , \frac { 1 } { \beta ^ { 2 } } \right)$ and $\left( \gamma ^ { 2 } , \frac { 1 } { \gamma ^ { 2 } } \right)$ is
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