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Theta series of laminated lattice LAMBDA_22.
1

%I #20 Jun 14 2021 15:58:05

%S 1,0,49896,2821632,50332590,467596800,2900976144,13527005184,

%T 51515674056,166963872768,479797555248,1241996861952,2970712710438,

%U 6601476879360,13877851716432,27612993881088,52754008389390,96534440589312,171306687302520,293591846287872

%N Theta series of laminated lattice LAMBDA_22.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 174.

%H Andy Huchala, <a href="/A023944/b023944.txt">Table of n, a(n) for n = 0..20000</a>

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/LAMBDA22.html">Home page for this lattice</a>

%o (Sage)

%o e = DirichletGroup(6).0

%o M = ModularForms(e, 11, QQ)

%o bases = [_.q_expansion(20) for _ in M.integral_basis()]

%o f = sum(x*y for (x,y) in zip(bases,[1, 0, 49896, 2821632, 50332590, 467596800, 2900976144, 13527005184, 51515674056, 166963872768, 479797555248, 1241996861952, 2970712710438]))

%o list(f) # _Andy Huchala_, Jun 14 2021

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Andy Huchala_, Jun 14 2021