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Theta series of lattice A_2 tensor D12+ (dimension 24, min norm 4).
0

%I #8 Dec 16 2020 19:26:24

%S 1,0,792,16704,573480,6289344,47367288,256779072,1116635400,

%T 4092791616,12993723216,37059359040,96956352072,232789209984,

%U 526238331840,1128121363008,2286165374280,4451600668032,8386296787224,15130668404160,26614226534832,45684867221568

%N Theta series of lattice A_2 tensor D12+ (dimension 24, min norm 4).

%H N. J. A. Sloane, <a href="/A037150/a037150.pdf">Notes on Two-dimensional Theta Series of Lattices</a> (Notes on some joint work with Eric M. Rains), pages 96-115, circa Jun 08 1998, of N. J. A. Sloane's notebook "Lattices Volume 79".

%F G.f.: phi_0(z)^12 - 72*phi_0(z)^6*Delta_12(z) + 576*Delta_12(z)^2 where phi_0(z) is the theta series of the A_2 lattice given in A004016, and Delta_12 is the 12-dimensional cusp form given in A007332. - _Sean A. Irvine_, Dec 16 2020

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Dec 16 2020