|
|
A022075
|
|
Theta series of D*_22 lattice.
|
|
1
|
|
|
1, 0, 44, 0, 924, 0, 12320, 0, 117084, 0, 844536, 4194304, 4812192, 0, 22297792, 92274688, 86075484, 0, 283367436, 968884224, 815677016, 0, 2108077536, 6551502848, 5012882336, 0, 11159625400, 32619102208, 23460347328, 0, 46790491968, 129830486016, 89096422492
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
REFERENCES
|
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
|
|
LINKS
|
|
|
EXAMPLE
|
G.f. = 1 + 44*q^2 + 924*q^4 + ...
|
|
PROG
|
(Sage)
L = [ 1, 0, 44, 0, 924, 0, ]
M = ModularForms(Gamma1(4), 11)
bases = [_.q_expansion(20) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 14 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|