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Theta series of 23-dimensional shorter Leech lattice.
0

%I #13 Jan 31 2022 01:31:02

%S 1,0,0,4600,93150,953856,6476800,32788800,133204500,458086400,

%T 1384998912,3771829800,9403968600,21771763200,47406643200,97917423808,

%U 192825064350,364086835200,663509299200,1171711866600

%N Theta series of 23-dimensional shorter Leech lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 441.

%H J. H. Conway, A. M. Odlyzko and N. J. A. Sloane, <a href="http://dx.doi.org/10.1112/S0025579300009244">Extremal Self-Dual Lattices Exist Only in Dimensions 1-8, 12, 14, 15, 23 and 24</a>, Mathematika, 25 (1978), 36-43.

%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

%K nonn,nice

%O 0,4

%A _N. J. A. Sloane_