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The degeneracies of supersymmetric quarter BPS dyons in four dimensions andof spinning black holes in five dimensions in a CHL compactification arecomputed exactly using Borcherds lift. The Hodge anomaly in the constructionhas a physical interpretation as the contribution of a single M-theoryKaluza-Klein 6-brane in the 4d-5d lift. Using factorization, it is shown thatthe resulting formula has a natural interpretation as a two-loop partitionfunction of left-moving heterotic string, consistent with the heuristic pictureof dyons in the M-theory lift of string webs.Comment: 23 pages, 1 figur

Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift