  We show that for any finite configuration of closed curves $\Gamma\subset
\mathbb{R}^2$, one can construct an explicit planar polynomial vector field
that realizes $\Gamma$, up to homeomorphism, as the set of its limit cycles
with prescribed periods, multiplicities and stabilities. The only obstruction
given on this data is the obvious compatibility relation between the
stabilities and the parity of the multiplicities. The constructed vector fields
are Darboux integrable and admit a polynomial inverse integrating factor.
