Data
:
T(7,4)/Integral Khovanov Homology
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dim
G
2
r
+
j
KH
Z
r
(
T
(
7
,
4
)
)
{\displaystyle \dim {\mathcal {G}}_{2r+j}\operatorname {KH} _{\mathbb {Z} }^{r}(T(7,4))}
j
=
11
{\displaystyle j=11}
j
=
13
{\displaystyle j=13}
j
=
15
{\displaystyle j=15}
j
=
17
{\displaystyle j=17}
j
=
19
{\displaystyle j=19}
r
=
0
{\displaystyle r=0}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
1
{\displaystyle r=1}
r
=
2
{\displaystyle r=2}
Z
{\displaystyle {\mathbb {Z} }}
r
=
3
{\displaystyle r=3}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
4
{\displaystyle r=4}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
5
{\displaystyle r=5}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
6
{\displaystyle r=6}
Z
{\displaystyle {\mathbb {Z} }}
Z
{\displaystyle {\mathbb {Z} }}
r
=
7
{\displaystyle r=7}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
⊕
Z
2
{\displaystyle {\mathbb {Z} }\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
8
{\displaystyle r=8}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
r
=
9
{\displaystyle r=9}
Z
2
⊕
Z
4
{\displaystyle {\mathbb {Z} }_{2}\oplus {\mathbb {Z} }_{4}}
Z
2
{\displaystyle {\mathbb {Z} }^{2}}
r
=
10
{\displaystyle r=10}
Z
{\displaystyle {\mathbb {Z} }}
Z
⊕
Z
2
{\displaystyle {\mathbb {Z} }\oplus {\mathbb {Z} }_{2}}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
r
=
11
{\displaystyle r=11}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
2
⊕
Z
2
{\displaystyle {\mathbb {Z} }^{2}\oplus {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
12
{\displaystyle r=12}
Z
{\displaystyle {\mathbb {Z} }}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
13
{\displaystyle r=13}
Z
4
{\displaystyle {\mathbb {Z} }_{4}}
Z
{\displaystyle {\mathbb {Z} }}
r
=
14
{\displaystyle r=14}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
Z
2
{\displaystyle {\mathbb {Z} }_{2}}
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