%I #8 Oct 04 2012 10:28:37

%S 1,0,260,960,3060,8704,16320,28800,53300,87040,127944,175680,262080,

%T 391680,489600,600960,835380,1131520,1336900,1563840,2054824,2611200,

%U 2986560,3358080,4194240,5326848,5859400

%N Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4.

%C If there were a 10-dimensional unimodular lattice with minimal norm 2, this would also be its theta series; however, no such lattice exists.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 416.

%H J. H. Conway and N. J. A. Sloane, On lattices equivalent to their duals, J. Number Theory, 48 (1994), 373-382 (<a href="http://neilsloane.com/doc/isodual.txt">Abstract</a>, <a href="http://neilsloane.com/doc/isodual.pdf">pdf</a>, <a href="http://neilsloane.com/doc/isodual.ps">ps</a>)

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/10QF.10.b.html">Home page for Q10 lattice</a>

%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.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_.