### How to solve a system of three polynomial equations over $GF(2^8)$
I would like to solve the following system of three equations of three variables $a0,a1,a2$ over GF(2^8, name='x', modulus=x^8 + x^5 + x^3 + x + 1) :
a0+a1*x+a2*x^2=x^7+x^6+x^5+x^2+x