$^{GLYPH<Minus>}$4000 $^{GLYPH<Minus>}$2000 2000 4000 0.00005 0.00010 0.00015 0.00020 FIG. 19: Magnetisation distributions for 8 × 8 × 8 × 8 × 8-lattice (red) and the fitted P$_{p,q}$ ( n, k ) (blue) vs k − n/ 2 for K = 0 . 1137, K ∗ = 0 . 113786, K$_{c}$ = 0 . 113914, 0 . 1143 and 0 . 1147. FIG. 20: Left: z = n ( q − 1) vs log n at K ∗ for the L × L × L × L × L -lattice, L = 4 , 6 , 8 , 10 , 12. The straight line is constant at z = − 9 . 87. Right: y = n ( p − 1) vs z = n ( q − 1) for the L × L × L × L × L - lattice, L = 4 , 6 , 8 , 10 , 12 (leftwards). Higher temperatures (low K ) begin at the upper right part of the plot and with lower temperatures we move down to the left. The red curve is y = 2 w with w defined by (59). 〈| M |〉 / 2 n 3 / 4 = σ$_{1}$/n 3 / 4 should approach ϱ$_{1}$/ϱ$_{0}$ when plotted as a function of a for a fixed z . 46 6 8 10 12 log n $^{GLYPH<Minus>}$10.0 $^{GLYPH<Minus>}$9.5 $^{GLYPH<Minus>}$9.0 $^{GLYPH<Minus>}$8.5 $^{GLYPH<Minus>}$8.0 $^{GLYPH<Minus>}$7.5 $^{GLYPH<Minus>}$7.0 z $^{GLYPH<Minus>}$11.0 $^{GLYPH<Minus>}$10.5 $^{GLYPH<Minus>}$10.0 $^{GLYPH<Minus>}$9.5 $^{GLYPH<Minus>}$9.0 $^{GLYPH<Minus>}$8.5 z $^{GLYPH<Minus>}$0.4 $^{GLYPH<Minus>}$0.3 $^{GLYPH<Minus>}$0.2 $^{GLYPH<Minus>}$0.1 y