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Theta series of laminated lattice LAMBDA_15.
1

%I #11 Jun 16 2021 21:05:00

%S 1,0,2340,26880,198510,752640,2777320,6666240,18056580,34222080,

%T 76790952,126124800,251743800,373201920,684788880,946636800,

%U 1632682350,2136207360,3505616460,4398078720,6969644136,8433039360,12913865640,15239485440,22786814120

%N Theta series of laminated lattice LAMBDA_15.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 174.

%H Andy Huchala, <a href="/A023938/b023938.txt">Table of n, a(n) for n = 0..20000</a>

%o (Magma)

%o L := Lattice("Lambda",15);

%o B := Basis(ThetaSeriesModularFormSpace(L),20);

%o Coefficients(B[1]+2340*B[3] +26880*B[4]+198510*B[5]+752640*B[6]+2777320*B[7]+6666240*B[8]+18056580*B[9]+34222080*B[10]+76790952*B[11]+126124800*B[12]+251743800*B[13]+373201920*B[14]+684788880*B[15]+946636800*B[16]); // _Andy Huchala_, Jun 16 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_