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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
a0+a1*x^2+a2*x^4=x^7+x^6+x^5+x^2
a0+a1*x^3+a2*x^6=x^7+x^3+x^2+1

How can I do this?