Data
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L11a234/Integral Khovanov Homology
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dim
G
2
r
+
i
KH
Z
r
{\displaystyle \dim {\mathcal {G}}_{2r+i}\operatorname {KH} _{\mathbb {Z} }^{r}}
i
=
2
{\displaystyle i=2}
i
=
4
{\displaystyle i=4}
r
=
−
4
{\displaystyle r=-4}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
3
{\displaystyle r=-3}
Z
3
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{3}\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
−
2
{\displaystyle r=-2}
Z
5
⊕
Z
2
3
{\displaystyle {\mathbb {Z} }^{5}\oplus {\mathbb {Z} }_{2}^{3}}
Z
3
{\displaystyle {\mathbb {Z} }^{3}}
r
=
−
1
{\displaystyle r=-1}
Z
7
⊕
Z
2
5
{\displaystyle {\mathbb {Z} }^{7}\oplus {\mathbb {Z} }_{2}^{5}}
Z
5
{\displaystyle {\mathbb {Z} }^{5}}
r
=
0
{\displaystyle r=0}
Z
10
⊕
Z
2
7
{\displaystyle {\mathbb {Z} }^{10}\oplus {\mathbb {Z} }_{2}^{7}}
Z
8
{\displaystyle {\mathbb {Z} }^{8}}
r
=
1
{\displaystyle r=1}
Z
9
⊕
Z
2
9
{\displaystyle {\mathbb {Z} }^{9}\oplus {\mathbb {Z} }_{2}^{9}}
Z
9
{\displaystyle {\mathbb {Z} }^{9}}
r
=
2
{\displaystyle r=2}
Z
10
⊕
Z
2
9
{\displaystyle {\mathbb {Z} }^{10}\oplus {\mathbb {Z} }_{2}^{9}}
Z
10
{\displaystyle {\mathbb {Z} }^{10}}
r
=
3
{\displaystyle r=3}
Z
7
⊕
Z
2
9
{\displaystyle {\mathbb {Z} }^{7}\oplus {\mathbb {Z} }_{2}^{9}}
Z
9
{\displaystyle {\mathbb {Z} }^{9}}
r
=
4
{\displaystyle r=4}
Z
5
⊕
Z
2
7
{\displaystyle {\mathbb {Z} }^{5}\oplus {\mathbb {Z} }_{2}^{7}}
Z
7
{\displaystyle {\mathbb {Z} }^{7}}
r
=
5
{\displaystyle r=5}
Z
2
⊕
Z
2
5
{\displaystyle {\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}^{5}}
Z
5
{\displaystyle {\mathbb {Z} }^{5}}
r
=
6
{\displaystyle r=6}
Z
⊕
Z
2
2
{\displaystyle {\mathbb {Z} }\oplus {\mathbb {Z} }_{2}^{2}}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
r
=
7
{\displaystyle r=7}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
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