Even positive definite unimodular quadratic forms over ${\bf Q}(\sqrt 3)$
Even positive definite unimodular quadratic forms over ${\bf Q}(\sqrt 3)$
A complete list of even unimodular lattices over $\mathbb {Q}(\sqrt 3 )$ is given for each dimension $n = 2,4,6,8$. Siegel’s mass formula is used to verify the completeness of the list. Alternate checks are given using theta series and the adjacency graph of the genus at the dyadic prime …