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A023940
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Theta series of laminated lattice LAMBDA_18.
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1
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1, 0, 7398, 175104, 1820448, 10506240, 46589382, 155022336, 465542694, 1157492736, 2774172672, 5765465088, 11929117248, 21932052480, 40953956940, 68918860800, 119138987808, 187615014912, 305761893030, 456635833344, 710329749696, 1017103417344, 1522382017536
(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(6).0
M = ModularForms(e, 9, QQ)
bases = [_.q_expansion(30) for _ in M.integral_basis()]
list(sum(x*y for (x, y) in zip(bases, [1, 0, 7398, 175104, 1820448, 10506240, 46589382, 155022336, 465542694, 1157492736]))) # Andy Huchala, Jun 17 2021
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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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