The Poincare dodecahedral space better explains the WMAP 3 year observations than the infinite flat model. We proposed a method that involves a cross-correlation function - this uses more information than the original identified circles method. An optimal cross-correlation appears to be a stable solution, and finds a twist angle of close to +36 degrees.
ArXiv:1302.4425 - Deep redshift topological lensing: strategies for the T^3 candidate - MNRAS URL - Roukema, France, Kazimierczak, Buchert (2013)
theoretical work
The Poincare dodecahedral space is much better balanced, in the sense of the interaction between topology and gravity called the residual gravity effect, than other spaces.