show/hide this revision's text 2 Added nt.number-theory tag (best fit among Arxiv classes I think)
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Niemeier lattices and theta functions

I have an extremely elementary question. Let's say someone randomly hands you a theta function associated to a Niemeier lattice (unimodular even, n=24). What can you say about which Niemeier lattice gave you this theta function in the first place?