lattices. The value one fits to the spectrum obtained on the $L=20$ lattice at $\beta=2.5$ is $\gamma = 2.98$ (7) and is equally consistent. We also examine the dependence on $\beta$ of the coefficient $c_l(\beta)$ in eqn. \[eqn\_len\_spec\] adding to the older work our calculations at $\beta=2.5$ on the $L=20$ lattice. \[We do not use the $L=32$ lattice for this purpose because of the different gauge fixing procedure used.\] If we assume a constant power (which is approximately the case), then $c_l(\beta)$ is just proportional to the total length of the secondary clusters. At fixed $\beta$ we find this length to be proportional to $L^4$ just as one might expect. \[Small clusters in very different parts of a large volume are presumably independent.\] The dependence on $\beta$, on the other hand, is much less clear. Between $\beta=2.3$ and $\beta=2.4$ it varies weakly, roughly as $K^{0.12 \pm 0.13}$. Between $\beta=2.4$ and $\beta=2.5$ it varies more strongly, roughly as $K^{0.48 \pm 0.09}$. We can try to summarise this by saying that c\_l() = L\^4 \^ \[eqn\_coeff\_spec\] where $\zeta = 0.5 \pm 0.5$, which is consistent with what was found previously [@hart98]. The smaller clusters are compact objects in $d=4$, and having determined 