GATE Electrical Engineering (EE) 2018 Solved Paper

The series impedance matrix of a short three-phase transmission line in phase coordinates is $\left[\begin{array}{ccc}{\mathit{Z}}_{\mathit{s}}& {\mathit{Z}}_{\mathit{m}}& {\mathit{Z}}_{\mathit{m}}\\ {\mathit{Z}}_{\mathit{m}}& {\mathit{Z}}_{\mathit{s}}& {\mathit{Z}}_{\mathit{m}}\\ {\mathit{Z}}_{\mathit{m}}& {\mathit{Z}}_{\mathit{m}}& {\mathit{Z}}_{\mathit{s}}\end{array}\right]$. If the positive sequence impedance is $\left(1+\mathit{j}10\right)\mathit{\Omega }$, and the zero sequence is $\left(4+\mathit{j}31\right)\mathit{\Omega }$, then the imaginary part of ${\mathit{Z}}_{\mathit{m}}($ in $\mathit{\Omega })$ is_______ (up to 2 decimal places).