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A022083
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Theta series of D*_30 lattice.
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1
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1, 0, 60, 0, 1740, 0, 32480, 0, 438540, 0, 4563672, 0, 38099040, 0, 262336320, 1073741824, 1521151500, 0, 7553367900, 32212254720, 32592806520, 0, 123909200160, 467077693440, 420775407200, 0, 1294230433560, 4391604060160, 3655476494400, 0, 9600504649920
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listen;
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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 + 60*q^2 + 1740*q^4 + ...
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PROG
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(Sage)
L = [1, 0, 60, 0, 1740, 0, 32480, 0]
M = ModularForms(Gamma1(4), 15)
bases = [_.q_expansion(30) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 15 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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