into account and included in the evaluation of the limits using the [Pole]{} software following the approach described in Ref. [@conrad]. The total systematic uncertainty on the detector efficiency is about 20% and comes mainly from the uncertainties on the average quantum efficiency and the angular acceptance of the PMTs, and the sea water absorption length. The detailed uncertainty study is described in Ref. [@timing]. This total systematic uncertainty translates into a degradation of the upper limits between 3% and 6%, depending on the WIMP mass. The corresponding limits are presented in Figure \[phinulimitfig\] for all the benchmark self-annihilation channels. In this figure, the results from $\rm QFit$ and $\rm \Lambda Fit$ are combined to reach the best upper limit over the whole $\rm M_{WIMP}$ range. Given its soft energy spectrum (Figure \[aeffmwimpfig\]), the channel $b\bar{b}$ yields the least stringent limit, while it is the opposite for $\nu_{\alpha}\bar{\nu}_{\alpha}$. The upper limits, $\rm \Phi_{\nu_{\mu}+\bar{\nu}_\mu}$, improve from low to high WIMP masses, as expected from the general hardness of the neutrino spectra at the surface of the Earth, the absence of interaction during the neutrino propagation along the line of sight from the GC (no absorption or diffusion are present), and the 