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$
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 0 & 1 & 3 & 1 & 4 \\
0 & 1 & 0 & 0 & 0 & 1 & 3 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
0 & 0 & 0 & 1 & 2 & 1 & 2 & 1
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 0 & 1 & 3 & 1 & 4 \\
0 & 1 & 0 & 0 & 0 & 1 & 3 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
0 & 0 & 0 & 3 & 1 & 3 & 1 & 3
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1 \\
0 & 1 & 0 & 0 & 0 & 1 & 3 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
0 & 0 & 0 & 3 & 1 & 3 & 1 & 3
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1 \\
0 & 1 & 0 & 0 & 0 & 1 & 3 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
0 & 0 & 4 & 3 & 0 & 0 & 1 & 3
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1 \\
0 & 1 & 0 & 0 & 0 & 1 & 3 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
2 & 0 & 4 & 2 & 0 & 0 & 1 & 0
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1 \\
4 & 1 & 3 & 4 & 0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 & 1 & 3 & 0 & 0 \\
2 & 0 & 4 & 2 & 0 & 0 & 1 & 0
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1 \\
4 & 1 & 3 & 4 & 0 & 1 & 0 & 0 \\
3 & 2 & 2 & 3 & 1 & 0 & 0 & 0 \\
2 & 0 & 4 & 2 & 0 & 0 & 1 & 0
\end{array}\right)\sim$ $
\left(\begin{array}{cccc|cccc}
3 & 2 & 2 & 3 & 1 & 0 & 0 & 0 \\
4 & 1 & 3 & 4 & 0 & 1 & 0 & 0 \\
2 & 0 & 4 & 2 & 0 & 0 & 1 & 0 \\
1 & 0 & 0 & 2 & 0 & 0 & 0 & 1
\end{array}\right)
$