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 A033697 Theta series of lattice A_2 tensor D_5 (dimension 10, det. 3888, min. norm 4). 1

%I #11 May 16 2023 07:54:10

%S 1,0,120,480,1950,3360,9000,16800,25320,39840,76320,80160,146190,

%T 193920,236400,309600,510270,455040,722520,889440,994176,1200480,

%U 1798560,1525440,2319480,2655360,2805360,3255360,4787580,3861600,5594400,6297120,6528360,7267680

%N Theta series of lattice A_2 tensor D_5 (dimension 10, det. 3888, min. norm 4).

%C This theta series is an element of the space of modular forms on Gamma_1(12) with Kronecker character -3 in modulus 12, weight 5, and dimension 11. - _Andy Huchala_, May 16 2023

%H Andy Huchala, <a href="/A033697/b033697.txt">Table of n, a(n) for n = 0..10000</a>

%o (Magma)

%o prec := 30;

%o basis := [1,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,1,-1,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,1];

%o S := Matrix(15,basis);

%o L := LatticeWithBasis(S);

%o T := ThetaSeriesModularForm(L);

%o Coefficients(PowerSeries(T,prec)); // _Andy Huchala_, May 16 2023

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Andy Huchala_, May 16 2023

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Last modified December 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)