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A023943
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Theta series of laminated lattice LAMBDA_21.
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0
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1, 0, 27720, 1272320, 19707450, 163430400, 927305904, 3995658240, 14261752680, 43493359616, 118805241072, 292653344256, 671496501200, 1430857236480, 2904257385888, 5571801102336, 10326899016378, 18297213419520
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OFFSET
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0,3
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COMMENTS
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Theta series is an element of the space of modular forms on Gamma_0(16) of weight 21/2 and dimension 22 over the integers. - Andy Huchala, May 10 2023
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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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EXAMPLE
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G.f. = 1 + 27720*q^4 + 1272320*q^6 + ...
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PROG
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(Magma)
prec := 5;
L := Lattice("Lambda", 21);
T<q> := ThetaSeries(L, 2*prec);
[Coefficients(T)[2*i-1] : i in [1..prec]]; // Andy Huchala, May 10 2023
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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