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A023945
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Theta series of laminated lattice LAMBDA_23.
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1
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1, 0, 93150, 6476800, 133204500, 1384998912, 9403968600, 47406643200, 192825064350, 663509299200, 2007834672456, 5456580940800, 13618454702600, 31528851609600, 68717357121600, 141663767066624, 279245882826900, 527244094771200, 961802512637350
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OFFSET
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0,3
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COMMENTS
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Theta series of the 23-dimensional sublattice of the Leech lattice orthogonal to any norm 4 vector
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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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(Magma)
L := Lattice("Lambda", 23);
B := Basis(ThetaSeriesModularFormSpace(L), 20);
S := [1, 0, 93150, 6476800, 133204500, 1384998912, 9403968600, 47406643200, 192825064350, 663509299200, 2007834672456, 5456580940800];
Coefficients(&+[B[i] * S[i] : i in [1..12]]); // Andy Huchala, Jun 29 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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More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Sep 06 2001
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STATUS
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approved
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