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Theta series of A_22 lattice.
0

%I #10 Jul 08 2025 17:21:54

%S 1,506,53130,2029566,35668446,340000122,2094317302,9773190636,

%T 37179208176,120683024506,346388200466,897628047384,2144673537006,

%U 4770315795938,10019792884332,19955152642348,38085959774742

%N Theta series of A_22 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.

%t terms = 17; f[q_] = LatticeData["A22", "ThetaSeriesFunction"][-I*Log[q]/Pi]; s =

%t f[q] + O[q]^(2 terms); Partition[CoefficientList[s, q] // Round, 2][[All, 1]][[1 ;; terms]] (* _Jean-François Alcover_, Jul 06 2017 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from Robert.Harley(AT)inria.fr, see A023902.