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A015236
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Theta series of lattice Kappa_7.
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3
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1, 0, 92, 64, 436, 320, 1248, 640, 2476, 1024, 5080, 1984, 6170, 2944, 11704, 3840, 13860, 6144, 19964, 7744, 24064, 8768, 36944, 12800, 33888, 15360, 54808, 16768, 57176, 22464, 71416, 25984, 79628, 27648, 107128, 35840, 93844, 41984, 143888, 42112, 137720
(list;
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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. 161.
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LINKS
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EXAMPLE
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G.f. = 1 + 92*q^4 + 64*q^6 + ...
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PROG
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(Magma)
L := (Lattice("Kappa", 7));
B := Basis(ThetaSeriesModularFormSpace(L), 30);
S := [1, 0, 92, 64, 436, 320, 1248, 640, 2476, 1024, 5080, 1984, 6170, 2944, 11704, 3840, 13860, 6144, 19964, 7744, 24064, 8768, 36944, 12800, 33888, 15360];
Coefficients(&+[B[i] * S[i] : i in [1..26]]); // Andy Huchala, Jul 18 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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