## Algebraic number theory: some examples

During the previous office hour, I was asked two questions that I didn’t answer too clearly. So I thought I’d put up written versions.

Primitive elements: an example

Example of an integral basis

The second note corrects a mistake from the solutions to the coursework: The element $(\sqrt{2}+\sqrt{6})/2$ does *not* have an Eisenstein minimal polynomial.

Let me know if you need more elaboration.
MK