Hello,

the task is to define characteristics and prime fields of following fields:

i)

ii)

iii)

The seems to be following kind of field:

.

So, the 's order is , but I don't understand, what is it's characteristic. Prime field should be something like:

.

I think the second one is: .

But I have no idea, what it's characteristic or prime field could be.

The third one is completely mysterious to me - I don't understand it's structure at all.

Any help is appreciated. Thanks very much in advance!