document: Even unimodular Gaussian lattices of rank 12 We classify even unimodular Gaussian lattices of rank 12 , that is , even unimodular integral lattices of rank 12 over the ring of Gaussian integers . This is equivalent to the classification of the automorphisms tau with tau / sup 2 / = -1 in the automorphism groups of all the Niemeier lattices , which are even unimodular -LRB- real -RRB- integral lattices of rank 24 . There are 28 even unimodular Gaussian lattices of rank 12 up to equivalence
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