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A022079
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Theta series of D*_26 lattice.
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1
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1, 0, 52, 0, 1300, 0, 20800, 0, 239252, 0, 2107560, 0, 14797120, 67108864, 85155200, 0, 410468500, 1744830464, 1688240372, 0, 6030043240, 21810380800, 19043826880, 0, 54177864000, 176227876864, 141373532200, 0, 343594659200, 1046898278400, 786344740480, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.
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LINKS
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EXAMPLE
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G.f. = 1 + 52*q^2 + 1300*q^4 + ...
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PROG
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(Sage)
L = [1, 0, 52, 0, 1300, 0, 20800]
M = ModularForms(Gamma1(4), 13)
bases = [_.q_expansion(20) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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