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\begin {table}
\centering
\caption {Expected number of
collisions and observed number of collisions.}
\label {tab:coll1}
\smallskip
%%%%%%%%%%%%%%%%%%%%%
\begin {tabular}{|c|@{\extracolsep{10pt}}rr|rr|rr|rr|rr|}
%% \multicolumn{11}{l}{\makebox[0pt][l]{fmultin\_Serial1: Collision test, Expected numbers---fmultin\_Serial1: Collision test, Observed numbers}}\\
\hline
LSize& \multicolumn{2}{c|}{$ j=1 $} & \multicolumn{2}{c|}{$ j=2 $} & \multicolumn{2}{c|}{$ j=3 $} & \multicolumn{2}{c|}{$ j=4 $} & \multicolumn{2}{c|}{$ j=5 $} \\
\hline
10 & 1.93 & 2 & 7.62 & 2 & 29.39 & 11 & 108.94 & 58 & 376.52 & 570 \\
11 & 1.95 & 1 & 7.81 & 0 & 30.44 & 6 & 115.16 & 17 & 413.38 & 474 \\
12 & 1.96 & 0 & 7.81 & 2 & 30.65 & 13 & 117.87 & 44 & 436.20 & 216 \\
13 & 2.00 & 0 & 7.95 & 2 & 31.37 & 13 & 121.97 & 55 & 461.02 & 211 \\
14 & 1.98 & 1 & 7.90 & 5 & 31.31 & 11 & 122.77 & 52 & 471.77 & 191 \\
15 & 1.99 & 1 & 7.93 & 1 & 31.51 & 7 & 124.27 & 41 & 483.04 & 132 \\
16 & 1.99 & 1 & 7.95 & 0 & 31.65 & 5 & 125.35 & 20 & 491.26 & 75 \\
17 & 1.99 & 0 & 7.97 & 1 & 31.75 & 11 & 126.11 & 23 & 497.29 & 101 \\
18 & 2.00 & 0 & 7.98 & 4 & 31.83 & 15 & 126.66 & 45 & 501.47 & 214 \\
19 & 2.00 & 0 & 7.98 & 1 & 31.88 & 3 & 127.07 & 19 & 504.60 & 61 \\
20 & 2.00 & 0 & 7.99 & 0 & 31.91 & 4 & 127.33 & 14 & 506.69 & 74 \\
21 & 2.00 & 0 & 7.99 & 1 & 31.94 & 12 & 127.55 & 48 & 508.33 & 178 \\
22 & 2.00 & 0 & 7.99 & 3 & 31.96 & 14 & 127.66 & 59 & 509.34 & 220 \\
23 & 2.00 & 0 & 8.00 & 0 & 31.97 & 5 & 127.78 & 16 & 510.21 & 45 \\
24 & 2.00 & 0 & 8.00 & 0 & 31.98 & 1 & 127.83 & 15 & 510.67 & 37 \\
25 & 2.00 & 1 & 8.00 & 4 & 31.99 & 8 & 127.91 & 44 & 511.16 & 142 \\
26 & 2.00 & 2 & 8.00 & 1 & 31.99 & 7 & 127.92 & 24 & 511.33 & 71 \\
27 & 2.00 & 1 & 8.00 & 1 & 31.99 & 7 & 127.94 & 38 & 511.55 & 152 \\
28 & 2.00 & 0 & 8.00 & 3 & 31.99 & 17 & 127.96 & 41 & 511.67 & 193 \\
29 & 2.00 & 1 & 8.00 & 0 & 32.00 & 0 & 127.98 & 8 & 511.78 & 25 \\
30 & 2.00 & 0 & 8.00 & 3 & 32.00 & 10 & 127.98 & 29 & 511.83 & 189 \\
\hline
\end {tabular} \\
\medskip
\end {table}
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