A164972 Theta series of a dual-extremal lattice of dimension 28 and level 2.

1, 0, 0, 6720, 98280, 5370624, 19138560, 425761920, 805208040, 11171166720, 14651449344, 151720309440, 156717687840, 1331073596160, 1162883174400, 8553148603776, 6596666916840, 43528633182720, 30507984568320

Offset

0,4

References

R. Bacher, B. Venkov, Réseaux entiers unimodulaires sans racines en dimensions 27 et 28. In Réseaux euclidiens, designs sphériques et formes modulaires, 212--267, Monogr. Enseign. Math., 37, Enseignement Math., Geneva, 2001.

S. Boecherer and G. Nebe, On theta series attached to maximal lattices and their adjoints, Preprint 2009.

Links

Table of n, a(n) for n=0..18.

P. Gaborit, A bound for certain s-extremal lattices and codes Archiv der Mathematik 89 (2007) 143-151.

Crossrefs

Sequence in context: A252602 A224689 A190292 * A190129 A345581 A345838

Adjacent sequences: A164969 A164970 A164971 * A164973 A164974 A164975

Keyword

nonn

Author

Gabi Nebe (nebe(AT)math.rwth-aachen.de), Sep 03 2009

Status

approved