login
If there were a 9-dimensional unimodular lattice with minimal norm 2, this would be its theta series; however, no such lattice exists.
0

%I #6 Oct 04 2012 10:28:31

%S 1,0,252,456,2178,4320,7176,13536,21744,35072,43560,60984,95712,

%T 125280,143280,178080,261234,315648,347748,424152,557280,665280,

%U 695592,804960,1070112,1262592,1226520,1418592

%N If there were a 9-dimensional unimodular lattice with minimal norm 2, this would 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 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_.