Eisenstein Integers ℤ[ω]

The Eisenstein integers Z[ω] where ω = e^(2πi/3) = −½ + (√3/2)i. They form a triangular lattice with 6-fold symmetry. The 6 units are {±1, ±ω, ±ω²}. Click to inspect.

Click a lattice point to inspect it
Unit (norm 1)
Eisenstein prime
Composite