Data:10 121/Integral Khovanov Homology: Difference between revisions

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{| border=1 cellspacing=0 cellpadding=1
{| border=1 cellspacing=0 cellpadding=1
|- align=center
|- align=center
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}(10_121)</math>
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=-3</math>
|<math>i=-3</math>
|<math>i=-1</math>
|<math>i=-1</math>
Line 10: Line 10:
|- align=center
|- align=center
|<math>r=-6</math>
|<math>r=-6</math>
|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|- align=center
|<math>r=-5</math>
|<math>r=-5</math>
|bgcolor=yellow|<math>{\mathbb Z}^6\oplus{\mathbb Z}_2^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}\oplus{\mathbb Z}_2^{3}</math>
|bgcolor=yellow|<math>{\mathbb Z}^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|- align=center
|- align=center
|<math>r=-4</math>
|<math>r=-4</math>
|bgcolor=yellow|<math>{\mathbb Z}^8\oplus{\mathbb Z}_2^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}\oplus{\mathbb Z}_2^{6}</math>
|bgcolor=yellow|<math>{\mathbb Z}^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}</math>
|- align=center
|- align=center
|<math>r=-3</math>
|<math>r=-3</math>
|bgcolor=yellow|<math>{\mathbb Z}^10\oplus{\mathbb Z}_2^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{8}</math>
|bgcolor=yellow|<math>{\mathbb Z}^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}</math>
|- align=center
|- align=center
|<math>r=-2</math>
|<math>r=-2</math>
|bgcolor=yellow|<math>{\mathbb Z}^10\oplus{\mathbb Z}_2^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{10}</math>
|bgcolor=yellow|<math>{\mathbb Z}^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}</math>
|- align=center
|- align=center
|<math>r=-1</math>
|<math>r=-1</math>
|bgcolor=yellow|<math>{\mathbb Z}^8\oplus{\mathbb Z}_2^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}\oplus{\mathbb Z}_2^{10}</math>
|bgcolor=yellow|<math>{\mathbb Z}^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}</math>
|- align=center
|- align=center
|<math>r=0</math>
|<math>r=0</math>
|bgcolor=yellow|<math>{\mathbb Z}^7\oplus{\mathbb Z}_2^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{7}\oplus{\mathbb Z}_2^{8}</math>
|bgcolor=yellow|<math>{\mathbb Z}^9</math>
|bgcolor=yellow|<math>{\mathbb Z}^{9}</math>
|- align=center
|- align=center
|<math>r=1</math>
|<math>r=1</math>
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{6}</math>
|bgcolor=yellow|<math>{\mathbb Z}^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}</math>
|- align=center
|- align=center
|<math>r=2</math>
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^4</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{4}</math>
|bgcolor=yellow|<math>{\mathbb Z}^4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
|- align=center
|- align=center
|<math>r=3</math>
|<math>r=3</math>

Latest revision as of 08:06, 27 June 2006