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%I #10 Sep 08 2022 08:44:48
%S 1,600,75900,3555800,77836050,924978120,6901688200,37479599400,
%T 162981777750,594965730200,1897531134180,5410666657200,14097598363900,
%U 33985515175800,76830818652600,164035898209360
%N Theta series of A_24 lattice.
%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.
%e 1 + 600*q^2 + 75900*q^4 + 3555800*q^6 + O(q^8).
%t terms = 16; f[q_] = LatticeData["A24", "ThetaSeriesFunction"][-I*Log[q]/Pi]; s = f[q] + O[q]^(2 terms); Partition[CoefficientList[s, q] // Round, 2][[All, 1]][[1 ;; terms]] (* _Jean-François Alcover_, Jul 06 2017 *)
%o (Magma) L:=Lattice("A",24); T1<q> := ThetaSeries(L,10);
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from Robert.Harley(AT)inria.fr, see A023902.
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