The teacher will be very surprised to see your correct solution 😉
x0 = 0
x0 = 0
sum
___ ___ ___ ___ ___ ___ ___ ___ \/ 2 I*\/ 2 \/ 2 I*\/ 2 \/ 2 I*\/ 2 \/ 2 I*\/ 2 -1 + 1 - I + I + - ----- - ------- + - ----- + ------- + ----- - ------- + ----- + ------- 2 2 2 2 2 2 2 2
=
0
product
/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | |\/ 2 I*\/ 2 | |\/ 2 I*\/ 2 | -0*(-I)*I*|- ----- - -------|*|- ----- + -------|*|----- - -------|*|----- + -------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
=
0
0
x1 = -1
x2 = 0
x3 = 1
x4 = -I
x5 = I
___ ___ \/ 2 I*\/ 2 x6 = - ----- - ------- 2 2
___ ___ \/ 2 I*\/ 2 x7 = - ----- + ------- 2 2
___ ___ \/ 2 I*\/ 2 x8 = ----- - ------- 2 2
___ ___ \/ 2 I*\/ 2 x9 = ----- + ------- 2 2
x9 = sqrt(2)/2 + sqrt(2)*i/2
x1 = -0.707106781186548 - 0.707106781186548*i
x2 = 0.707106781186548 + 0.707106781186548*i
x3 = -0.707106781186548 + 0.707106781186548*i
x4 = 1.0*i
x5 = -1.0
x6 = 0.707106781186548 - 0.707106781186548*i
x7 = 1.0
x8 = -1.0*i
x9 = 0.0
x9 = 0.0