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A023937
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Theta series of laminated lattice LAMBDA_14.
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4
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1, 0, 1422, 13056, 84024, 285696, 958422, 2131200, 5413374, 9655296, 20529216, 32221440, 61570992, 87542784, 154925820, 206952192, 345543480, 439022592, 698892510, 853288704, 1321785360, 1557921792, 2326595904, 2692744704, 3941172102, 4428518400, 6356272428
(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. 174.
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LINKS
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PROG
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(Sage)
e = DirichletGroup(12).1
M = ModularForms(e, 7, QQ, prec=30)
bases = M.integral_basis()
f = sum(x*y for (x, y) in zip(bases, [1, 0, 1422, 13056, 84024, 285696, 958422, 2131200, 5413374, 9655296, 20529216, 32221440, 61570992, 87542784, 154925820, 206952192]))
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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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