Data:T(14,3)/Integral Khovanov Homology: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
DrorsRobot (talk | contribs) No edit summary |
DrorsRobot (talk | contribs) No edit summary |
||
(3 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
{| border=1 cellspacing=0 cellpadding=1 |
|||
<math>t^{19} \textrm{ZMod}(0) q^{57}+t^{17} \textrm{ZMod}(0) q^{55}+t^{19} \textrm{ZMod}(2) q^{55}+t^{18} \textrm{ZMod}(0) q^{53}+t^{17} \textrm{ZMod}(0) q^{53}+t^{16} \textrm{ZMod}(0) q^{51}+t^{15} \textrm{ZMod}(0) q^{51}+t^{16} \textrm{ZMod}(0) q^{49}+t^{13} \textrm{ZMod}(0) q^{49}+t^{15} \textrm{ZMod}(2) q^{49}+t^{14} \textrm{ZMod}(0) q^{47}+t^{13} \textrm{ZMod}(0) q^{47}+t^{12} \textrm{ZMod}(0) q^{45}+t^{11} \textrm{ZMod}(0) q^{45}+t^{12} \textrm{ZMod}(0) q^{43}+t^9 \textrm{ZMod}(0) q^{43}+t^{11} \textrm{ZMod}(2) q^{43}+t^{10} \textrm{ZMod}(0) q^{41}+t^9 \textrm{ZMod}(0) q^{41}+t^8 \textrm{ZMod}(0) q^{39}+t^7 \textrm{ZMod}(0) q^{39}+t^8 \textrm{ZMod}(0) q^{37}+t^5 \textrm{ZMod}(0) q^{37}+t^7 \textrm{ZMod}(2) q^{37}+t^6 \textrm{ZMod}(0) q^{35}+t^5 \textrm{ZMod}(0) q^{35}+t^4 \textrm{ZMod}(0) q^{33}+t^3 \textrm{ZMod}(0) q^{33}+t^4 \textrm{ZMod}(0) q^{31}+t^3 \textrm{ZMod}(2) q^{31}+t^2 \textrm{ZMod}(0) q^{29}+\textrm{ZMod}(0) q^{27}+\textrm{ZMod}(0) q^{25}</math> |
|||
|- align=center |
|||
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
|||
|<math>i=17</math> |
|||
|<math>i=19</math> |
|||
|<math>i=21</math> |
|||
|<math>i=23</math> |
|||
|<math>i=25</math> |
|||
|<math>i=27</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| |
|||
|bgcolor=yellow| |
|||
| |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=7</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
| |
|||
|<math>{\mathbb Z}_2</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
|- align=center |
|||
|<math>r=8</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
|<math>{\mathbb Z}</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=9</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
| |
|||
|<math>{\mathbb Z}</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
|- align=center |
|||
|<math>r=10</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=11</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
|<math>{\mathbb Z}_2</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=12</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=13</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow| |
|||
|<math>{\mathbb Z}</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=14</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=15</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=16</math> |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=17</math> |
|||
|bgcolor=yellow| |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=18</math> |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
|bgcolor=yellow| |
|||
| |
|||
| |
|||
| |
|||
| |
|||
|- align=center |
|||
|<math>r=19</math> |
|||
|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
|||
|bgcolor=yellow|<math>{\mathbb Z}</math> |
|||
| |
|||
| |
|||
| |
|||
| |
|||
|} |
Latest revision as of 07:11, 27 June 2006
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | ||||||