OFFSET
0,5
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.
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
EXAMPLE
G.f.: 1 + 198506*q^8 + 163840*q^10 + ...
PROG
(Magma)
L := Lattice("Lambda", 29);
T<q> := ThetaSeries(L, 14);
C := Coefficients(T);
[C[2*i-1] : i in [1..8]];
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Andy Huchala, Jun 27 2021
EXTENSIONS
a(14)-a(16) from Robin Visser, Sep 24 2023
STATUS
approved