Data:T(13,2)/Integral Khovanov Homology: Difference between revisions

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{| border=1
<math>t^{13} \textrm{ZMod}(0) q^{39}+t^{13} \textrm{ZMod}(2) q^{37}+t^{12} \textrm{ZMod}(0) q^{35}+t^{11} \textrm{ZMod}(0) q^{35}+t^{11} \textrm{ZMod}(2) q^{33}+t^{10} \textrm{ZMod}(0) q^{31}+t^9 \textrm{ZMod}(0) q^{31}+t^9 \textrm{ZMod}(2) q^{29}+t^8 \textrm{ZMod}(0) q^{27}+t^7 \textrm{ZMod}(0) q^{27}+t^7 \textrm{ZMod}(2) q^{25}+t^6 \textrm{ZMod}(0) q^{23}+t^5 \textrm{ZMod}(0) q^{23}+t^5 \textrm{ZMod}(2) q^{21}+t^4 \textrm{ZMod}(0) q^{19}+t^3 \textrm{ZMod}(0) q^{19}+t^3 \textrm{ZMod}(2) q^{17}+t^2 \textrm{ZMod}(0) q^{15}+\textrm{ZMod}(0) q^{13}+\textrm{ZMod}(0) q^{11}</math>
|- align=center
|
|<math>j=11</math>
|<math>j=13</math>
|- align=center
|<math>r=0</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=1</math>
|bgcolor=yellow|
|bgcolor=yellow|
|- align=center
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=3</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=4</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=5</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=6</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=7</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=8</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=9</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=10</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=11</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=12</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=13</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|}

Revision as of 22:20, 26 June 2006

[math]\displaystyle{ j=11 }[/math] [math]\displaystyle{ j=13 }[/math]
[math]\displaystyle{ r=0 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=1 }[/math]
[math]\displaystyle{ r=2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=3 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=4 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=5 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=6 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=7 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=8 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=9 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=10 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=11 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=12 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=13 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
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