Again on off-by-one errors.

book/dixon.tex

@@ -118,7 +118,7 @@ At this point, we have all data structures needed:
   \emph{Reduction Procedure}
 \end{center}
 \begin{enumerate}[(i)]
-  \item Set $j=r$;
+  \item Set $j=r-1$;
   \item find the ``pivot vector'', i.e. the first vector
     $v_i, \quad 0 \leq i < f$ such that $\alpha_j = 1$. If none is found, go
     to (iv);