Data:10 53/Integral Khovanov Homology

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[math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] [math]\displaystyle{ i=-5 }[/math] [math]\displaystyle{ i=-3 }[/math]
[math]\displaystyle{ r=-10 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-9 }[/math] [math]\displaystyle{ {\mathbb Z}^2\oplus{\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=-8 }[/math] [math]\displaystyle{ {\mathbb Z}^3\oplus{\mathbb Z}_2^2 }[/math] [math]\displaystyle{ {\mathbb Z}^2 }[/math]
[math]\displaystyle{ r=-7 }[/math] [math]\displaystyle{ {\mathbb Z}^6\oplus{\mathbb Z}_2^3 }[/math] [math]\displaystyle{ {\mathbb Z}^3 }[/math]
[math]\displaystyle{ r=-6 }[/math] [math]\displaystyle{ {\mathbb Z}^5\oplus{\mathbb Z}_2^6 }[/math] [math]\displaystyle{ {\mathbb Z}^6 }[/math]
[math]\displaystyle{ r=-5 }[/math] [math]\displaystyle{ {\mathbb Z}^7\oplus{\mathbb Z}_2^5 }[/math] [math]\displaystyle{ {\mathbb Z}^5 }[/math]
[math]\displaystyle{ r=-4 }[/math] [math]\displaystyle{ {\mathbb Z}^5\oplus{\mathbb Z}_2^7 }[/math] [math]\displaystyle{ {\mathbb Z}^7 }[/math]
[math]\displaystyle{ r=-3 }[/math] [math]\displaystyle{ {\mathbb Z}^4\oplus{\mathbb Z}_2^5 }[/math] [math]\displaystyle{ {\mathbb Z}^5 }[/math]
[math]\displaystyle{ r=-2 }[/math] [math]\displaystyle{ {\mathbb Z}^3\oplus{\mathbb Z}_2^4 }[/math] [math]\displaystyle{ {\mathbb Z}^4 }[/math]
[math]\displaystyle{ r=-1 }[/math] [math]\displaystyle{ {\mathbb Z}_2^3 }[/math] [math]\displaystyle{ {\mathbb Z}^3 }[/math]
[math]\displaystyle{ r=0 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]