(z^8)/(1+z+z^2+z^3+z^4+z^5+z^6+z^7)

$$frac{z^{8}}{z^{7} + z^{6} + z^{5} + z^{4} + z^{3} + z^{2} + z + 1}$$

z^8/(1.0 + z + z^2 + z^3 + z^4 + z^5 + z^6 + z^7)

1
-1 + z + ———————————–
2 3 4 5 6 7
1 + z + z + z + z + z + z + z

$$z – 1 + frac{1}{z^{7} + z^{6} + z^{5} + z^{4} + z^{3} + z^{2} + z + 1}$$

8
z
————————-
/ 2 / 4
(1 + z)*1 + z /*1 + z /

$$frac{z^{8}}{left(z + 1right) left(z^{2} + 1right) left(z^{4} + 1right)}$$