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.

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## 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.