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 A047628 Theta series of 14-dimensional lattice Kappa_{14} with minimal norm 4. 8
 1, 0, 1242, 11916, 72252, 266544, 807090, 2006856, 4603284, 8924940, 17571816, 30168396, 51799212, 82147608, 132245676, 191541024, 294596676, 410924988, 590219898, 800792568, 1123700904, 1442103768, 1991926080, 2519984088, 3314316426, 4155999192, 5427108108 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Theta series is an element of the space of modular forms on Gamma_1(18) with Kronecker character -3 in modulus 18, weight 7, and dimension 22 over the integers. - Andy Huchala, May 07 2023 REFERENCES J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Chap. 6. LINKS Andy Huchala, Table of n, a(n) for n = 0..20000 G. Nebe and N. J. A. Sloane, Home page for this lattice PROG (Magma) prec := 80; S := SymmetricMatrix([4, 2, 4, 0, -2, 4, 0, -2, 0, 4, 0, 0, -2, 0, 4, -2, -2, 0, 0, 0, 4, -2, -1, 1, 0, 0, 0, 4, -2, -1, 0, -1, 1, 2, 2, 4, -2, -2, 0, 1, 1, 2, 2, 2, 4, -2, 0, -2, 0, 1, 1, 0, 0, 0, 4, 1, 1, 0, 0, 0, -2, 0, -1, -1, -2, 4, -2, -1, 0, 0, 0, 1, 1, 1, 1, 1, -2, 4, 0, -1, 1, 1, 0, -1, 1, 0, 0, -1, 1, -1, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, 4]); L := LatticeWithGram(S); T := ThetaSeries(L, 42); M := ThetaSeriesModularFormSpace(L); B := Basis(M, prec); Coefficients(&+[Coefficients(T)[2*i-1]*B[i] :i in [1..22]]); // Andy Huchala, May 07 2023 CROSSREFS Cf. A029897, A362875, A362876, A362877, A362878, A362879, A362880. Sequence in context: A099178 A209711 A228964 * A181073 A023065 A375801 Adjacent sequences: A047625 A047626 A047627 * A047629 A047630 A047631 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS More terms from Andy Huchala, May 07 2023 STATUS approved

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Last modified September 12 22:49 EDT 2024. Contains 375855 sequences. (Running on oeis4.)