The algebraic sum of perpendicular distances from the points $1,{\alpha }_1,{\alpha }_2,{\alpha }_3,{\alpha }_4,{\alpha }_5,{\alpha }_6,{\alpha }_7$, where ${\alpha }_i$ for $i=1,2,\dots ,7$, are complex $8^{\mathrm{th}}$ roots of unity, from the line $\left(3+2i\right)z+\left(3-2i\right)\overline{z}+5\sqrt{13}=0$, is equal to