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Theta series of D*_28 lattice.
1

%I #11 Jul 15 2021 02:07:57

%S 1,56,1512,26208,327656,3147984,24189984,421302976,811401192,

%T 11197272408,14500933104,151844650272,156797510688,1331217305488,

%U 1163495873088,8550203006016,6597606440936,43532444810736,30505974273096,184815887035360,119983597365744

%N Theta series of D*_28 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

%H Andy Huchala, <a href="/A022081/b022081.txt">Table of n, a(n) for n = 0..20000</a>

%e G.f. = 1 + 56*q^2 + 1512*q^4 + ...

%o (Sage)

%o L = [1, 56, 1512, 26208]

%o M = ModularForms(Gamma0(2),14)

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

%o f = sum(x*y for (x,y) in zip(bases,L)); list(f) # _Andy Huchala_, Jul 14 2021

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Andy Huchala_, Jul 14 2021