# Element to sequence in field extension

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`

.

First note that your

`p`

is not prime... You can find useful information in this related question.Note: also asked on sage-support: