Element to sequence in field extension

savecancel

I have constructed a big prime field:

p = 68235916425158872634653027
F = GF(p)

And then I make two extension fields

E1 = GF(p^2)
E2 = GF(p^6)

It is obvious that E2 is a field extension of E1. Now how can I express the element in E2 with the basis in E1.