Let $A\left(\alpha, \dfrac{1}{\alpha}\right), B\left(\beta, \dfrac{1}{\beta}\right), C\left(\gamma, \dfrac{1}{\gamma}\right)$ be the vertices of a $\triangle ABC$, where $\alpha, \beta$ are the roots of the equation $x^{2}-6P_{1}x+2=0$; $\beta, \gamma$ are the roots of the equation $x^{2}-6P_{2}x+3=0$ and $\gamma, \alpha$ are the roots of the equation $x^{2}-6P_{3}x+6=0, P_{1}, P_{2}$ and $P_{3}$ being positive then the coordinates of the centroid of $\triangle ABC$ is :