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TwoNeighbours is an ongoing project to bring the Two Neighbours of B. Hemkemeier (TN) and the Hermitian Neighbours of A. Schiemann (HN) back to life. Written in modern C++, using parallel algorithm whenever possible and with CUDA support, TwoNeighbours is an algebra system with a focus on algorithms for integral lattices.

Extremal Lattices in $\operatorname{II}_{20}(5^{+10})$

Two new twenty-dimensional five-modular lattices have been found; finally settling the question of the existence of such lattices.