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A022084
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Theta series of D*_31 lattice.
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1
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1, 0, 0, 0, 62, 0, 0, 0, 1860, 0, 0, 0, 35960, 0, 0, 0, 503502, 0, 0, 0, 5440872, 0, 0, 0, 47229864, 0, 0, 0, 338599360, 0, 0, 2147483648, 2046701220, 0, 0, 0, 10604798246, 0, 0, 66571993088, 47775740520, 0, 0, 0, 189619489320, 0, 0, 998579896320
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OFFSET
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0,5
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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 + 62*q^4 + 1860*q^8 + ...
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PROG
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(Magma)
L := Dual(Lattice("D", 31));
B := Basis(ThetaSeriesModularFormSpace(L), 70);
S := [1, 0, 0, 0, 62, 0, 0, 0, 1860, 0, 0, 0, 35960, 0, 0, 0];
Coefficients(&+[B[i] * S[i] : i in [1..16]]); // Andy Huchala, Jul 14 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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