# Data:K11a239/Integral Khovanov Homology

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 $\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}$ $i=1$ $i=3$ $r=-4$ ${\mathbb Z}$ $r=-3$ ${\mathbb Z}^{4}\oplus{\mathbb Z}_2$ ${\mathbb Z}$ $r=-2$ ${\mathbb Z}^{8}\oplus{\mathbb Z}_2^{4}$ ${\mathbb Z}^{4}$ $r=-1$ ${\mathbb Z}^{12}\oplus{\mathbb Z}_2^{8}$ ${\mathbb Z}^{8}$ $r=0$ ${\mathbb Z}^{16}\oplus{\mathbb Z}_2^{12}$ ${\mathbb Z}^{13}$ $r=1$ ${\mathbb Z}^{16}\oplus{\mathbb Z}_2^{15}$ ${\mathbb Z}^{15}$ $r=2$ ${\mathbb Z}^{16}\oplus{\mathbb Z}_2^{16}$ ${\mathbb Z}^{16}$ $r=3$ ${\mathbb Z}^{12}\oplus{\mathbb Z}_2^{16}$ ${\mathbb Z}^{16}$ $r=4$ ${\mathbb Z}^{8}\oplus{\mathbb Z}_2^{12}$ ${\mathbb Z}^{12}$ $r=5$ ${\mathbb Z}^{4}\oplus{\mathbb Z}_2^{8}$ ${\mathbb Z}^{8}$ $r=6$ ${\mathbb Z}\oplus{\mathbb Z}_2^{4}$ ${\mathbb Z}^{4}$ $r=7$ ${\mathbb Z}_2$ ${\mathbb Z}$