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A037219
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Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4.
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1
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1, 0, 260, 960, 3060, 8704, 16320, 28800, 53300, 87040, 127944, 175680, 262080, 391680, 489600, 600960, 835380, 1131520, 1336900, 1563840, 2054824, 2611200, 2986560, 3358080, 4194240, 5326848, 5859400
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| If there were a 10-dimensional unimodular lattice with minimal norm 2, this would also be its theta series; however, no such lattice exists.
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REFERENCES
| J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 416.
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LINKS
| J. H. Conway and N. J. A. Sloane, On lattices equivalent to their duals, J. Number Theory, 48 (1994), 373-382 (Abstract, pdf, ps)
G. Nebe and N. J. A. Sloane, Home page for Q10 lattice
E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.
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CROSSREFS
| Sequence in context: A154379 A185793 A202585 * A061224 A108109 A168187
Adjacent sequences: A037216 A037217 A037218 * A037220 A037221 A037222
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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