Data:T(25,2)/Integral Khovanov Homology: Difference between revisions
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<math>t^{25} \textrm{ZMod}(0) q^{75}+t^{25} \textrm{ZMod}(2) q^{73}+t^{24} \textrm{ZMod}(0) q^{71}+t^{23} \textrm{ZMod}(0) q^{71}+t^{23} \textrm{ZMod}(2) q^{69}+t^{22} \textrm{ZMod}(0) q^{67}+t^{21} \textrm{ZMod}(0) q^{67}+t^{21} \textrm{ZMod}(2) q^{65}+t^{20} \textrm{ZMod}(0) q^{63}+t^{19} \textrm{ZMod}(0) q^{63}+t^{19} \textrm{ZMod}(2) q^{61}+t^{18} \textrm{ZMod}(0) q^{59}+t^{17} \textrm{ZMod}(0) q^{59}+t^{17} \textrm{ZMod}(2) q^{57}+t^{16} \textrm{ZMod}(0) q^{55}+t^{15} \textrm{ZMod}(0) q^{55}+t^{15} \textrm{ZMod}(2) q^{53}+t^{14} \textrm{ZMod}(0) q^{51}+t^{13} \textrm{ZMod}(0) q^{51}+t^{13} \textrm{ZMod}(2) q^{49}+t^{12} \textrm{ZMod}(0) q^{47}+t^{11} \textrm{ZMod}(0) q^{47}+t^{11} \textrm{ZMod}(2) q^{45}+t^{10} \textrm{ZMod}(0) q^{43}+t^9 \textrm{ZMod}(0) q^{43}+t^9 \textrm{ZMod}(2) q^{41}+t^8 \textrm{ZMod}(0) q^{39}+t^7 \textrm{ZMod}(0) q^{39}+t^7 \textrm{ZMod}(2) q^{37}+t^6 \textrm{ZMod}(0) q^{35}+t^5 \textrm{ZMod}(0) q^{35}+t^5 \textrm{ZMod}(2) q^{33}+t^4 \textrm{ZMod}(0) q^{31}+t^3 \textrm{ZMod}(0) q^{31}+t^3 \textrm{ZMod}(2) q^{29}+t^2 \textrm{ZMod}(0) q^{27}+\textrm{ZMod}(0) q^{25}+\textrm{ZMod}(0) q^{23}</math> |
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|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
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|<math>i=23</math> |
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|<math>i=25</math> |
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|- align=center |
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|<math>r=0</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=1</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=3</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=4</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=5</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=6</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=7</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=8</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=9</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=10</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=11</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=12</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=13</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=14</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=15</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=16</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=17</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=18</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=19</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=20</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=21</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=22</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=23</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=24</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=25</math> |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|} |
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