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The right plot of figure 11 shows y vs z for a range of temperatures. The points represent- ing K ∗ may appear to lie on the z -axis but they are are slightly below it. In the 1D-case we suspected that there is a limit curve for the high-temperature region, but we suspect that the exact data that produced this part of the plot rely on far too small lattices to give any con- clusive evidence. Also, the p, q -find algorithm is rather sensitive to noise in this region to be useful for sampled data. However, as we said before, this problem goes away once K ≥ K ∗ . Figure 12 shows y and z versus K for all the lattices though for the sampled data we only show low-temperature data. The red line is located at K$_{c}$ = atanh ( √$_{2}$ − 1 ) ≈ 0 . 44068. y K 0 z 

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