Quadratic Primes

The primes of every ring of quadratic integers $\mathcal{O}_d$, one field at a time, or of its order $\mathbb{Z}[\sqrt d]$; a real field's can be drawn at their logarithmic embedding. The guide explains what the colors mean.

The primes of in , d = , by norm, drawn ; selecting an element lights its . Shift-click to select several; Esc clears.

Numbers written in a complex base, on these same lattices, have their own exploration: complex bases.