Thanks. But  

x= polygen(GF(2), "a")
y= polygen(GF(2), "b")
print x+y
-----------------------> gives error

How to do this symbolic algebra in GF(2)={0,1} ?

My need is the following:
 I have a recurrence relation like z[t+6]=z[t]+z[t+3]+z[t+4]*z[t+5] in GF(2)
taking z[0]=a0,z[1]=a1,...,z[5]=a5
i want to find the value of z[40] in a0,a1,..,a5 

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