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 A047627 Theta series of 14-dimensional integral laminated lattice LAMBDA14.4 with minimal norm 4. 3
 1, 0, 1210, 11552, 71192, 254656, 804528, 1915328, 4538956, 8628864, 17309892, 28803296, 51649344, 78486464, 130311456, 185010752, 290432044, 392591488, 587974442, 765028512, 1108040944, 1392702208, 1962884944, 2407505728, 3303637472, 3970663680, 5347655844 (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(32) with Kronecker character -4 in modulus 32, weight 7, and dimension 28. - Andy Huchala, May 15 2023 LINKS Andy Huchala, Table of n, a(n) for n = 0..10000 G. Nebe and N. J. A. Sloane, Home page for this lattice PROG (Magma) prec := 30; gram := [4, 2, 4, 0, -2, 4, 0, -2, 0, 4, 0, 0, -2, 0, 4, -2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 1, -2, 0, 1, 0, 0, -1, 1, 0, 0, 4, -1, 0, -1, -1, 1, 0, 1, 0, 1, 1, 0, 0, 4, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 4]; S := SymmetricMatrix(gram); L := LatticeWithGram(S); T := ThetaSeriesModularForm(L); Coefficients(PowerSeries(T, prec)); // Andy Huchala, May 15 2023 CROSSREFS Cf. A023937, A046958, A047626. Sequence in context: A359049 A358711 A138480 * A252213 A258727 A234544 Adjacent sequences: A047624 A047625 A047626 * A047628 A047629 A047630 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Andy Huchala, May 15 2023 STATUS approved

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Last modified August 11 23:09 EDT 2024. Contains 375079 sequences. (Running on oeis4.)