Complex Numbers

This is an example of a dependent field. The complex numbers can be over any field such as the Natural numbers, the integers, or the rationals or other complex numbers. To create a complex number we can write: We can multply two complex numbers together: You can get the real part and complex part

Eisenstein Numbers

These are numbers with the addition of \( \omega^3 = 1 \). They are related to the complex numbers by Multiplication: $$\sqrt{\textcolor{red}{1}}$$