Realize the Foster matrix,
$$
[Z(p)]=\left[\begin{array}{cc}
\frac{p^4+3 p^2+1}{p^3+p} & \frac{2 p^4+2 p^2-1}{p^3+p^4} \\
\frac{2 p^4+2 p^2+1}{p^3+p} & \frac{4 p^4+6 p^2+1}{p^3+p}
\end{array}\right]
$$
and show that the resulting lossless two-port is consact.