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%I #14 Jul 13 2021 21:07:24
%S 1,0,0,0,22,0,0,0,220,0,0,2048,1320,0,0,0,5302,0,0,22528,15224,0,0,0,
%T 33528,0,0,112640,63360,0,0,0,116380,0,0,360448,209550,0,0,0,339064,0,
%U 0,901120,491768,0,0,0,719400,0,0,1959936,1095160,0,0,0,1538416,0
%N Theta series of D*_11 lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
%H Andy Huchala, <a href="/A022064/b022064.txt">Table of n, a(n) for n = 0..2500</a>
%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/Ds11.html">Home page for this lattice</a>
%e G.f. = 1 + 22*q^4 + 220*q^8 + ...
%o (Magma)
%o L := Dual(Lattice("D", 11));
%o B := Basis(ThetaSeriesModularFormSpace(L),20);
%o S := [1, 0, 0, 0, 22, 0, 0];
%o Coefficients(&+[B[i] * S[i] : i in [1..6]]); // _Andy Huchala_, Jul 13 2021
%K nonn
%O 0,5
%A _N. J. A. Sloane_.
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