/ ___________\ / ___________\ / ___________\ / ___________\ | ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ | | 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 | x*(x - 1)*|x + - - ----- + I* / - + ----- |*|x + - - ----- - I* / - + ----- |*|x + - + ----- + I* / - - ----- |*|x + - + ----- - I* / - - ----- | \ 4 4 \/ 8 8 / \ 4 4 \/ 8 8 / \ 4 4 \/ 8 8 / \ 4 4 \/ 8 8 /
((((x*(x - 1))*(x + 1/4 - sqrt(5)/4 + i*sqrt(5/8 + sqrt(5)/8)))*(x + 1/4 - sqrt(5)/4 - i*sqrt(5/8 + sqrt(5)/8)))*(x + 1/4 + sqrt(5)/4 + i*sqrt(5/8 - sqrt(5)/8)))*(x + 1/4 + sqrt(5)/4 - i*sqrt(5/8 - sqrt(5)/8))
3 / 2 3 4\ y *(-1 + y)*\1 + y + y + y + y /
y^3*(-1 + y)*(1 + y + y^2 + y^3 + y^4)