Data:K11a51/Integral Khovanov Homology: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
No edit summary
 
No edit summary
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
{| 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}(K11a51)</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}^2\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}\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}^5\oplus{\mathbb Z}_2^2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}\oplus{\mathbb Z}_2^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}^2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|- align=center
|- align=center
|<math>r=-4</math>
|<math>r=-4</math>
|bgcolor=yellow|<math>{\mathbb Z}^7\oplus{\mathbb Z}_2^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{7}\oplus{\mathbb Z}_2^{5}</math>
|bgcolor=yellow|<math>{\mathbb Z}^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}</math>
|- align=center
|- align=center
|<math>r=-3</math>
|<math>r=-3</math>
|bgcolor=yellow|<math>{\mathbb Z}^9\oplus{\mathbb Z}_2^7</math>
|bgcolor=yellow|<math>{\mathbb Z}^{9}\oplus{\mathbb Z}_2^{7}</math>
|bgcolor=yellow|<math>{\mathbb Z}^7</math>
|bgcolor=yellow|<math>{\mathbb Z}^{7}</math>
|- align=center
|- align=center
|<math>r=-2</math>
|<math>r=-2</math>
|bgcolor=yellow|<math>{\mathbb Z}^10\oplus{\mathbb Z}_2^9</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{9}</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}^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}^8\oplus{\mathbb Z}_2^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}\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}^5\oplus{\mathbb Z}_2^7</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}\oplus{\mathbb Z}_2^{7}</math>
|bgcolor=yellow|<math>{\mathbb Z}^7</math>
|bgcolor=yellow|<math>{\mathbb Z}^{7}</math>
|- align=center
|- align=center
|<math>r=2</math>
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2^{5}</math>
|bgcolor=yellow|<math>{\mathbb Z}^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}</math>
|- align=center
|- align=center
|<math>r=3</math>
|<math>r=3</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^2</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}^2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|- align=center
|- align=center
|<math>r=4</math>
|<math>r=4</math>

Latest revision as of 08:09, 27 June 2006