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 A033698 Theta series of lattice A_2 tensor E_6 (dimension 12, det. 6561, min. norm 4). 1
 1, 0, 216, 1440, 7290, 17280, 50436, 116640, 186408, 366912, 714420, 895104, 1600812, 2566080, 3070656, 4734720, 7501410, 7858944, 12134340, 17146080, 18299952, 25463232, 36770760, 35652096, 51224508, 67651200, 67882320, 89316576, 122996880, 113574528 (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_0(36) of weight 6 and dimension 36. - Andy Huchala, May 17 2023 LINKS Andy Huchala, Table of n, a(n) for n = 0..10000 PROG (Magma) prec := 30; basis := [1, -1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; S := Matrix(24, basis); L := LatticeWithBasis(S); T := ThetaSeriesModularForm(L); // takes a minute coeffs := Coefficients(PowerSeries(T, prec*4)); [coeffs[4*i+1] : i in [0..prec-1]]; // Andy Huchala, May 17 2023 CROSSREFS Sequence in context: A233980 A233974 A016863 * A121683 A016911 A323801 Adjacent sequences: A033695 A033696 A033697 * A033699 A033700 A033701 KEYWORD nonn AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Andy Huchala, May 17 2023 STATUS approved

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Last modified November 28 06:01 EST 2023. Contains 367394 sequences. (Running on oeis4.)