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 A033697 Theta series of lattice A_2 tensor D_5 (dimension 10, det. 3888, min. norm 4). 1
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 25 13:12 EDT 2023. Contains 365647 sequences. (Running on oeis4.)