Data:T(8,5)/Integral Khovanov Homology: Difference between revisions

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<math>t^{19} \textrm{ZMod}(0) q^{57}+t^{18} \textrm{ZMod}(0) q^{57}+t^{17} \textrm{ZMod}(0) q^{55}+t^{16} \textrm{ZMod}(0) q^{55}+t^{19} \textrm{ZMod}(2) q^{55}+t^{18} \textrm{ZMod}(2) q^{55}+t^{18} \textrm{ZMod}(0) q^{53}+t^{17} \textrm{ZMod}(0,0) q^{53}+t^{16} \textrm{ZMod}(0,2) q^{53}+t^{14} \textrm{ZMod}(0) q^{51}+t^{16} \textrm{ZMod}(0,2) q^{51}+t^{15} \textrm{ZMod}(0,0,0) q^{51}+t^{16} \textrm{ZMod}(0) q^{49}+t^{12} \textrm{ZMod}(0) q^{49}+t^{14} \textrm{ZMod}(2) q^{49}+t^{13} \textrm{ZMod}(0,0) q^{49}+t^{15} \textrm{ZMod}(0,2,2) q^{49}+t^{14} \textrm{ZMod}(0,0) q^{47}+t^{12} \textrm{ZMod}(2,5) q^{47}+t^{13} \textrm{ZMod}(0,0,0,2) q^{47}+t^{13} \textrm{ZMod}(2) q^{45}+t^{10} \textrm{ZMod}(2) q^{45}+t^{12} \textrm{ZMod}(0,0) q^{45}+t^{11} \textrm{ZMod}(0,0,0) q^{45}+t^{10} \textrm{ZMod}(2) q^{43}+t^{12} \textrm{ZMod}(0,0) q^{43}+t^9 \textrm{ZMod}(0,0) q^{43}+t^{11} \textrm{ZMod}(2,2,5) q^{43}+t^7 \textrm{ZMod}(0) q^{41}+t^{10} \textrm{ZMod}(0,0) q^{41}+t^9 \textrm{ZMod}(0,2) q^{41}+t^5 \textrm{ZMod}(0) q^{39}+t^8 \textrm{ZMod}(0,0) q^{39}+t^7 \textrm{ZMod}(0,2) q^{39}+t^8 \textrm{ZMod}(0) q^{37}+t^6 \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^4 \textrm{ZMod}(0) q^{35}+t^3 \textrm{ZMod}(0) q^{35}+t^4 \textrm{ZMod}(0) q^{33}+t^3 \textrm{ZMod}(2) q^{33}+t^2 \textrm{ZMod}(0) q^{31}+\textrm{ZMod}(0) q^{29}+\textrm{ZMod}(0) q^{27}</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>
|<math>i=29</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>
|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=7</math>
|
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}_2</math>
|<math>{\mathbb Z}\oplus{\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}^{2}</math>
|
|
|
|- align=center
|<math>r=9</math>
|
|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
|<math>{\mathbb Z}^{2}</math>
|
|
|- align=center
|<math>r=10</math>
|
|bgcolor=yellow|
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|<math>{\mathbb Z}_2</math>
|<math>{\mathbb Z}_2</math>
|
|
|- align=center
|<math>r=11</math>
|
|bgcolor=yellow|
|bgcolor=yellow|<math>{\mathbb Z}_2^{2}\oplus{\mathbb Z}_5</math>
|<math>{\mathbb Z}^{3}</math>
|
|
|
|- align=center
|<math>r=12</math>
|
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|<math>{\mathbb Z}_2\oplus{\mathbb Z}_5</math>
|<math>{\mathbb Z}</math>
|
|
|- align=center
|<math>r=13</math>
|
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2</math>
|<math>{\mathbb Z}^{2}</math>
|
|
|
|- align=center
|<math>r=14</math>
|
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|<math>{\mathbb Z}</math>
|
|
|
|- align=center
|<math>r=15</math>
|
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|
|
|
|
|- align=center
|<math>r=16</math>
|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2</math>
|<math>{\mathbb Z}</math>
|
|
|
|- align=center
|<math>r=17</math>
|
|bgcolor=yellow|<math>{\mathbb Z}^{2}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|
|
|- align=center
|<math>r=18</math>
|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|
|
|
|
|- align=center
|<math>r=19</math>
|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|
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|}

Latest revision as of 08:01, 27 June 2006

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