What does the quotient ring of polynomials modulo the mth cyclotomic polynomial look like?

Question

I am quite a beginner with quotient rings. Can someone give me an example of what this quotient ring would look like? $$ \mathbb Z[X]/\phi_m(X) $$

Answer 1

A concrete model for this ring is $\mathbb Z[\zeta]$, where $\zeta = e^{\frac{2\pi i}{m}}$. This is a subring of $\mathbb C$.