<image>As shown in the , there are three equilateral triangles with side length $$2$$, having one side on the same straight line. On the side $$GD$$, there are $$10$$ distinct points $$P_{1}$$, $$P_{2}$$, $$P_{3}…P_{10}$$. Then, the value of $$ \overrightarrow{AF}⋅( \overrightarrow{AP_{1}}+ \overrightarrow{AP_{2}}+ \overrightarrow{AP_{3}}+…+ \overrightarrow{AP_{10}})=$$ ______ .