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\begin{table}
\caption{Average of the square of the magnetization for different
lattice sizes $L$ using the KBD algorithm with no Metropolis sweeps,
for four different initial zero temperature configurations C0 (the
ordered state), and C1, C2, C3 (thermalized from 3 different random
starts). 
Also shown are results for the KBD algorithm with one Metropolis sweep 
per iteration (KBD+M).
The averages were taken over at least 50,000 iterations, and the 
statistical error in the last digit is given in brackets. 
For the two smallest lattice sizes we also computed the exact result.
\bigskip}
\begin{tabular}{ccccccc} 
   & L=2 & L=4 & L=8 & L=16 & L=32 & L=64 \\
\tableline
C0 & 0.4999(5) & 0.3751(3) & 0.2446(3) & 0.1055(6) & 0.1061(10) & 0.0718(8) \\
C1 & 0.3751(3) & 0.2811(3) & 0.4532(3) & 0.1576(11) & 0.0946(16) & 0.0768(12) \\
C2 &   ---     & 0.4532(3) & 0.0977(1) & 0.1545(16) & 0.1036(17) & 0.0714(9) \\
C3 &   ---     & 0.5625(0) & 0.2299(2) & 0.1332(11) & 0.1107(10) & 0.0771(8) \\
\tableline
KBD+M & 0.3748(2) & 0.2720(1) & 0.2020(2) & 0.1454(2) & 0.1033(2) & 0.0731(1) \\
\tableline
exact & 0.3750000 & 0.2720588 &   ---     &   ---     &   ---     &  ---      \\
\end{tabular}
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\end{table}
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