In my work, I am trying to typeset the following system of equations.
\begin{equation*}
\begin{cases}
\pi_n (i) = {n^2}/{\vol(G_n)} \cr
\pi_n (j) = {n}/{\vol(G_n)} \cr
q^{(n)}_{ij} = {1}/{n^2 } \cr
q^{(n)}_{ji} = {1}/{n}
\end{cases}
\end{equation*}
However, I would like to align the equal signs. If I do this by adding ampersands (see below), too much space is added before the equal signs, which makes the system of equations look worse than before. Is there any other non-manual way to align the equations?
\begin{equation*}
\begin{cases}
\pi_n (i) &= {n^2}/{\vol(G_n)} \cr
\pi_n (j) &= {n}/{\vol(G_n)} \cr
q^{(n)}_{ij} &= {1}/{n^2 } \cr
q^{(n)}_{ji} &= {1}/{n}
\end{cases}
\end{equation*}
cases
environment with\left\{ \begin{aligned} ... \end{aligned}\right.