You write: The only difference is that is expressed as a complex number so φ^2 is written as φ* φ.

This looks like the "*" is an ordinary multiplication. But it means the complex conjugation a+bi->a-bi. So the star has to be a superscript instead.

## Typo

You write:

The only difference is that is expressed as a complex number so φ^2 is written as φ* φ.

This looks like the "*" is an ordinary multiplication. But it means the complex conjugation a+bi->a-bi.

So the star has to be a superscript instead.