alpha
True

We have trace 0 for 4*alpha^6 + 2*alpha^5 + alpha + 1
We have trace 4 for 3*alpha^6 + 2*alpha^5 + 4*alpha^4 + alpha^3 + alpha^2 + alpha + 4
We have trace 0 for 3*alpha^6 + 2*alpha^5 + 2*alpha^4 + 3*alpha^2 + 4*alpha + 2
We have trace 0 for alpha^6 + 3*alpha^5 + 3*alpha^4 + alpha + 4
We have trace 1 for 2*alpha^5 + alpha^4 + 4*alpha^3 + 2*alpha + 3
We have trace 4 for 4*alpha^6 + alpha^5 + alpha^4 + alpha^3 + alpha^2 + 2*alpha + 3
We have trace 0 for 3*alpha^6 + 3*alpha^4 + 3*alpha^3 + 4*alpha + 2
We have trace 3 for 4*alpha^6 + 2*alpha^5 + 3*alpha^4 + 3*alpha^3 + alpha^2 + alpha
We have trace 3 for 2*alpha^6 + 3*alpha^5 + 4*alpha^4 + alpha^2 + 4*alpha + 2
We have trace 2 for alpha^5 + 3*alpha^4 + 3*alpha^3 + 4*alpha^2 + 1

trace sequence [2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1]

-1
-1
-1
-1
-1
-1
-1
-1
-1