Data:T(7,4)/Integral Khovanov Homology: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
No edit summary
 
No edit summary
 
(4 intermediate revisions by the same user not shown)
Line 1: Line 1:
{| border=1 cellspacing=0 cellpadding=1
<math>t^{14} \textrm{ZMod}(2) q^{41}+t^{13} \textrm{ZMod}(0) q^{39}+t^{12} \textrm{ZMod}(0) q^{39}+t^{14} \textrm{ZMod}(2) q^{39}+t^{11} \textrm{ZMod}(0) q^{37}+t^{12} \textrm{ZMod}(2) q^{37}+t^{13} \textrm{ZMod}(4) q^{37}+t^{12} \textrm{ZMod}(0) q^{35}+t^{10} \textrm{ZMod}(2) q^{35}+t^{11} \textrm{ZMod}(0,0,2) q^{35}+t^{11} \textrm{ZMod}(2) q^{33}+t^9 \textrm{ZMod}(0,0) q^{33}+t^{10} \textrm{ZMod}(0,2) q^{33}+t^{10} \textrm{ZMod}(0) q^{31}+t^7 \textrm{ZMod}(0) q^{31}+t^9 \textrm{ZMod}(2,4) q^{31}+t^5 \textrm{ZMod}(0) q^{29}+t^8 \textrm{ZMod}(0,0) q^{29}+t^7 \textrm{ZMod}(0,2) q^{29}+t^6 \textrm{ZMod}(0) q^{27}+t^5 \textrm{ZMod}(0) q^{27}+t^7 \textrm{ZMod}(2) q^{27}+t^6 \textrm{ZMod}(0) q^{25}+t^4 \textrm{ZMod}(0) q^{25}+t^3 \textrm{ZMod}(0) q^{25}+t^4 \textrm{ZMod}(0) q^{23}+t^3 \textrm{ZMod}(2) q^{23}+t^2 \textrm{ZMod}(0) q^{21}+\textrm{ZMod}(0) q^{19}+\textrm{ZMod}(0) q^{17}</math>
|- align=center
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=11</math>
|<math>i=13</math>
|<math>i=15</math>
|<math>i=17</math>
|<math>i=19</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}^{2}</math>
|bgcolor=yellow|
|
|
|- align=center
|<math>r=9</math>
|
|bgcolor=yellow|<math>{\mathbb Z}_2\oplus{\mathbb Z}_4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|
|
|- align=center
|<math>r=10</math>
|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|
|
|- align=center
|<math>r=11</math>
|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=12</math>
|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=13</math>
|<math>{\mathbb Z}_4</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|
|
|- align=center
|<math>r=14</math>
|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|
|
|
|}

Latest revision as of 08:00, 27 June 2006

Retrieved from "https://katlas.org/index.php?title=Data:T(7,4)/Integral_Khovanov_Homology&oldid=1103476"