\begin{center}\begin{tabular}{@{}lrrrrrr@{}}
\toprule word & $P_0$ & $P_1$ & $P_2$ & $v_1$ & $v_2$ & $s_4$\\\midrule
$ABCD$ & $0$ & $1$ & $1$ & $1$ & $-1$ & $1$\\
$ABDC$ & $0$ & $-1$ & $-1$ & $0$ & $1$ & $-1$\\
$ACBD$ & $0$ & $0$ & $0$ & $-1$ & $1$ & $-1$\\
$ACDB$ & $1$ & $0$ & $1$ & $1$ & $0$ & $1$\\
$ADBC$ & $0$ & $0$ & $0$ & $0$ & $-1$ & $1$\\
$ADCB$ & $-1$ & $0$ & $-1$ & $0$ & $0$ & $-1$\\
$BACD$ & $0$ & $0$ & $-1$ & $-1$ & $0$ & $-1$\\
$BADC$ & $0$ & $0$ & $1$ & $0$ & $0$ & $1$\\
$BCAD$ & $0$ & $0$ & $0$ & $1$ & $0$ & $1$\\
$BCDA$ & $-1$ & $0$ & $-1$ & $-1$ & $1$ & $-1$\\
$BDAC$ & $0$ & $0$ & $0$ & $0$ & $0$ & $-1$\\
$BDCA$ & $1$ & $0$ & $1$ & $0$ & $-1$ & $1$\\
$CABD$ & $0$ & $0$ & $0$ & $0$ & $-1$ & $1$\\
$CADB$ & $0$ & $0$ & $0$ & $-1$ & $1$ & $-1$\\
$CBAD$ & $0$ & $0$ & $0$ & $0$ & $0$ & $-1$\\
$CBDA$ & $0$ & $0$ & $0$ & $1$ & $0$ & $1$\\
$CDAB$ & $0$ & $0$ & $1$ & $1$ & $-1$ & $1$\\
$CDBA$ & $0$ & $-1$ & $-1$ & $-1$ & $0$ & $-1$\\
$DABC$ & $0$ & $0$ & $0$ & $-1$ & $1$ & $-1$\\
$DACB$ & $0$ & $0$ & $0$ & $0$ & $-1$ & $1$\\
$DBAC$ & $0$ & $0$ & $0$ & $1$ & $0$ & $1$\\
$DBCA$ & $0$ & $0$ & $0$ & $0$ & $0$ & $-1$\\
$DCAB$ & $0$ & $0$ & $-1$ & $0$ & $1$ & $-1$\\
$DCBA$ & $0$ & $1$ & $1$ & $0$ & $0$ & $1$\\
\bottomrule\end{tabular}\end{center}