$\left\{\begin{matrix} x^8-28y^2x^6+70x^4y^4-28y^6x^2+y^8=\frac{\sqrt{3}}{2} & & \\ 8yx^7-56y^3x^5+56y^5x^3-8y^7x=\frac{1}{2} & & \end{matrix}\right.$ How many pairs of $$(x,y)$$ satisfy this system of equation above?