A345660 Theta series of the canonical laminated lattice LAMBDA_29.

1, 0, 0, 0, 198506, 163840, 20662272, 45481984, 745402040, 1904738304, 13582315520, 32267304960, 152158214640, 321893203968, 1194291679232, 2263580016640, 7176091448362

Offset: 0

Author

Andy Huchala, Jun 27 2021

Keywords

• nonn
• more

Comments

Theta series is an element of the space of modular forms on Gamma_0(16) of weight 29/2 and dimension 30 over the integers.

Examples

			G.f.: 1 + 198506*q^8 + 163840*q^10 + ...
		

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 179.

Links

• J. H. Conway and N. J. A. Sloane, Laminated lattices, Annals of Math., 116 (1982), pp. 593-620. A revised version appears as Chapter 6 of "Sphere Packings, Lattices and Groups" by J. H. Conway and N. J. A. Sloane, Springer-Verlag, NY, 1988.
• J. H. Conway and N. J. A. Sloane, The "shower" showing containments among the laminated lattices up to dimension 48 (Fig 3 from the Annals paper, also Fig. 6.1 in the Sphere packing book).
• G. Nebe and N. J. A. Sloane, Home page for this lattice
• Index entries for sequences related to laminated lattices

Crossrefs

Cf. A005135, A023942, A008408.

Programs

Magma

L := Lattice("Lambda", 29);
T := ThetaSeries(L, 14);
C := Coefficients(T);
[C[2*i-1] : i in [1..8]];

Extensions

a(14)-a(16) from Robin Visser, Sep 24 2023