Context : The full three–year Wilkinson Microwave Anisotropy Probe results ( hereafter WMAP3 ) reinforce the absence of large–angle correlations at scales greater than 60 \degr .
The Poincaré dodecahedral space model , which may naturally explain such features , thus remains a plausible cosmological model , despite recent controversy about whether matched circle searches would or would not push the topology beyond the horizon .

Aims : We have used new eigenmode calculations of the dodecahedral space to predict the cosmic microwave background ( CMB ) temperature anisotropies in such a model , with an improved angular resolution .

Methods : We have simulated CMB maps and exhibited the expected self intersection of the last scattering surface along six pairs of circles .
For a set of plausible cosmological parameters , we have derived the angular power spectrum of the CMB up to large wavenumbers .

Results : Comparison of the angular power spectrum with the WMAP3 observations leads to an optimal fit with the Poincaré dodecahedral space model , for a value \Omega _ { \mathrm { tot } } = 1.018 of the total energy density parameter .

Conclusions :