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A022078
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Theta series of D*_25 lattice.
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1
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1, 0, 0, 0, 50, 0, 0, 0, 1200, 0, 0, 0, 18400, 0, 0, 0, 202450, 0, 0, 0, 1702560, 0, 0, 0, 11389600, 33554432, 0, 0, 62339200, 0, 0, 0, 285385200, 838860800, 0, 0, 1114064850, 0, 0, 0, 3779134240, 10066329600, 0, 0, 11360877600, 0, 0, 0, 30885301600
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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 + 50*q^4 + 1200*q^8 + ...
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PROG
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(Magma)
L := Dual(Lattice("D", 25));
B := Basis(ThetaSeriesModularFormSpace(L), 70);
S := [1, 0, 0, 0, 50, 0, 0, 0, 1200, 0, 0, 0, 18400];
Coefficients(&+[B[i] * S[i] : i in [1..13]]); // 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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