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

1, 0, 120, 480, 1950, 3360, 9000, 16800, 25320, 39840, 76320, 80160, 146190, 193920, 236400, 309600, 510270, 455040, 722520, 889440, 994176, 1200480, 1798560, 1525440, 2319480, 2655360, 2805360, 3255360, 4787580, 3861600, 5594400, 6297120, 6528360, 7267680

Offset

0,3

Comments

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

Links

Andy Huchala, Table of n, a(n) for n = 0..10000

Prog

(Magma)
prec := 30;
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];
S := Matrix(15, basis);
L := LatticeWithBasis(S);
T := ThetaSeriesModularForm(L);
Coefficients(PowerSeries(T, prec)); // Andy Huchala, May 16 2023

Crossrefs

Sequence in context: A235232 A304284 A167562 * A157960 A067915 A305072

Adjacent sequences: A033694 A033695 A033696 * A033698 A033699 A033700

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Andy Huchala, May 16 2023

Status

approved