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Theta series of lattice A_2 tensor A_15+ (dimension 30, det 3^15, min. norm 4).
0

%I #15 Dec 18 2020 04:06:42

%S 1,0,720,17640,726570,17236728,223847280,1928224440,12500672580,

%T 65073916440,284229347328,1080456070680,3650778821970,11191823745120,

%U 31612753519200,83017908015624,204808695842610,479043914067360,1065816689968080,2271147404056200

%N Theta series of lattice A_2 tensor A_15+ (dimension 30, det 3^15, 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)^15 - 90*phi_0(z)^9*Delta_12(z) + 1260*phi_0(z)^3*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 17 2020

%Y Cf. A004016, A007332.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Dec 17 2020