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If there were a unimodular 25-dimensional lattice with minimal norm 3, it would have this as its theta series. Unfortunately, no such lattice exists.
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%I #6 Oct 04 2012 10:28:28

%S 1,0,0,3600,101250,1308960,10627200,62596800,290984400,1127417600,

%T 3784631040,11325193200,30820816800,77376189600,181349280000,

%U 400953775680,842626285650,1692061228800,3263458752000

%N If there were a unimodular 25-dimensional lattice with minimal norm 3, it would have this as its theta series. Unfortunately, no such lattice exists.

%H E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/shad.html">The Shadow Theory of Modular and Unimodular Lattices</a>, J. Number Theory, 73 (1998), 359-389.

%e 1+3600*q^3+101250*q^4+...

%K nonn

%O 0,4

%A _N. J. A. Sloane_, E. M. Rains