Let $\alpha,\beta;\ \alpha>\beta,$ be the roots of the equation $x^{2}-\sqrt{2},x-\sqrt{3}=0$. Let $P_{n}=\alpha^{n}-\beta^{n},\ n\in\mathbb{N}$. Then $(11\sqrt{3}-10\sqrt{2}),P_{10}+(11\sqrt{2}+10),P_{11}-11,P_{12}$ is equal to: