Data:T(5,4)/Integral Khovanov Homology: Difference between revisions

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{| border=1 cellspacing=0 cellpadding=1
<math>t^{10} \textrm{ZMod}(2) q^{29}+t^9 \textrm{ZMod}(0) q^{27}+t^{10} \textrm{ZMod}(2) q^{27}+t^7 \textrm{ZMod}(0) q^{25}+t^9 \textrm{ZMod}(4) q^{25}+t^8 \textrm{ZMod}(0) q^{23}+t^5 \textrm{ZMod}(0) q^{23}+t^7 \textrm{ZMod}(0,2) q^{23}+t^6 \textrm{ZMod}(0) q^{21}+t^5 \textrm{ZMod}(0) q^{21}+t^7 \textrm{ZMod}(2) q^{21}+t^6 \textrm{ZMod}(0) q^{19}+t^4 \textrm{ZMod}(0) q^{19}+t^3 \textrm{ZMod}(0) q^{19}+t^4 \textrm{ZMod}(0) q^{17}+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>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=7</math>
|<math>i=9</math>
|<math>i=11</math>
|<math>i=13</math>
|- align=center
|<math>r=0</math>
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}</math>
|<math>{\mathbb Z}</math>
|- align=center
|<math>r=1</math>
|bgcolor=yellow|
|bgcolor=yellow|
|
|
|- align=center
|<math>r=2</math>
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}</math>
|
|- align=center
|<math>r=3</math>
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}_2</math>
|<math>{\mathbb Z}</math>
|- align=center
|<math>r=4</math>
|bgcolor=yellow|
|bgcolor=yellow|<math>{\mathbb Z}</math>
|<math>{\mathbb Z}</math>
|
|- align=center
|<math>r=5</math>
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}</math>
|<math>{\mathbb Z}</math>
|- align=center
|<math>r=6</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=7</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
|<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}_4</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=10</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|
|
|}

Latest revision as of 07:10, 27 June 2006