=0.343$.\
As concerning the scattering of data, we see that it remains small for $p\leq 8$, except when we get very close to the transition, a not too surprising fact. The overall shape of the $\sigma_{p}$-curve illustrates the distinction made at the end of Section 2 between two chaotic regimes. For $\beta =0.28$, i.e. rather far from the transition, one crosses over rapidly ($p\geq 5$) towards a linear growth of exponents with $p$. The exponents take rather big negative values for $p\leq 3$, presumably because of the important role played by energy backflows in this case. For the two other values of $\beta$ we investigated, the cross-over region is significantly wider. There is clearly curvature and henceforth multifractality, even if for $p \geq 7-8$ an asymptotic linear regime ultimately sets in. Figure \[tp2\] offers a magnified view on the cross-over region. The fact that exponents still vary strongly between $\beta =0.33$ and $\beta =0.343$ proves the influence of the proximity of the transition on the physics probed by the moments of corresponding order. On the other hand, it can be noted that the asymptotic slope remains almost the same. This feature will be explained in the next Section in terms 