

A345657


Theta series of the canonical laminated lattice LAMBDA_26.


0



1, 0, 0, 0, 196848, 24576, 17356032, 6782976, 448438518, 274735104, 5823343872, 4366565376, 48362165472, 39912726528, 292010062848, 253343072256, 1393763244336, 1241347399680, 5550621292032, 5010361122816
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OFFSET

0,5


COMMENTS

Theta series is an element of the space of modular forms on Gamma_1(24) with Kronecker character 3 in modulus 24, weight 13, and dimension 52 over the integers.


REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag, p. 178.


LINKS

J. H. Conway and N. J. A. Sloane, Laminated lattices, Annals of Math., 116 (1982), pp. 593620. A revised version appears as Chapter 6 of "Sphere Packings, Lattices and Groups" by J. H. Conway and N. J. A. Sloane, SpringerVerlag, NY, 1988.


EXAMPLE

1 + 196848*q^8 + 24576*q^10 + ...


PROG

(Magma)
L := Lattice("Lambda", 26);
T<q> := ThetaSeries(L, 14);
C := Coefficients(T);
[C[2*i1] : i in [1..8]];


CROSSREFS



KEYWORD

nonn,more


AUTHOR



EXTENSIONS



STATUS

approved



