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A014497 Theta series of hypothetical extremal 3-modular even 48-dimensional lattice with minimal norm 10 and det = 3^24. 1

%I #10 Nov 23 2015 06:20:13

%S 1,0,0,0,0,14152320,805896000,28658448000,615404790000,9246706560000,

%T 104318470226880,934113267360000,6910941216816000,43557573896928000,

%U 239503256693064000,1170760086470782080

%N Theta series of hypothetical extremal 3-modular even 48-dimensional lattice with minimal norm 10 and det = 3^24.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 204.

%H H.-G. Quebbemann, <a href="http://dx.doi.org/10.1006/jnth.1995.1111">Modular lattices in Euclidean spaces</a>, J. Number Theory, 54 (1995), 190-202.

%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

%O 0,6

%A _N. J. A. Sloane_, Eric Rains

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Last modified May 26 18:12 EDT 2024. Contains 372840 sequences. (Running on oeis4.)