Data:T(35,2)/Integral Khovanov Homology: Difference between revisions

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<math>t^{35} \textrm{ZMod}(0) q^{105}+t^{35} \textrm{ZMod}(2) q^{103}+t^{34} \textrm{ZMod}(0) q^{101}+t^{33} \textrm{ZMod}(0) q^{101}+t^{33} \textrm{ZMod}(2) q^{99}+t^{32} \textrm{ZMod}(0) q^{97}+t^{31} \textrm{ZMod}(0) q^{97}+t^{31} \textrm{ZMod}(2) q^{95}+t^{30} \textrm{ZMod}(0) q^{93}+t^{29} \textrm{ZMod}(0) q^{93}+t^{29} \textrm{ZMod}(2) q^{91}+t^{28} \textrm{ZMod}(0) q^{89}+t^{27} \textrm{ZMod}(0) q^{89}+t^{27} \textrm{ZMod}(2) q^{87}+t^{26} \textrm{ZMod}(0) q^{85}+t^{25} \textrm{ZMod}(0) q^{85}+t^{25} \textrm{ZMod}(2) q^{83}+t^{24} \textrm{ZMod}(0) q^{81}+t^{23} \textrm{ZMod}(0) q^{81}+t^{23} \textrm{ZMod}(2) q^{79}+t^{22} \textrm{ZMod}(0) q^{77}+t^{21} \textrm{ZMod}(0) q^{77}+t^{21} \textrm{ZMod}(2) q^{75}+t^{20} \textrm{ZMod}(0) q^{73}+t^{19} \textrm{ZMod}(0) q^{73}+t^{19} \textrm{ZMod}(2) q^{71}+t^{18} \textrm{ZMod}(0) q^{69}+t^{17} \textrm{ZMod}(0) q^{69}+t^{17} \textrm{ZMod}(2) q^{67}+t^{16} \textrm{ZMod}(0) q^{65}+t^{15} \textrm{ZMod}(0) q^{65}+t^{15} \textrm{ZMod}(2) q^{63}+t^{14} \textrm{ZMod}(0) q^{61}+t^{13} \textrm{ZMod}(0) q^{61}+t^{13} \textrm{ZMod}(2) q^{59}+t^{12} \textrm{ZMod}(0) q^{57}+t^{11} \textrm{ZMod}(0) q^{57}+t^{11} \textrm{ZMod}(2) q^{55}+t^{10} \textrm{ZMod}(0) q^{53}+t^9 \textrm{ZMod}(0) q^{53}+t^9 \textrm{ZMod}(2) q^{51}+t^8 \textrm{ZMod}(0) q^{49}+t^7 \textrm{ZMod}(0) q^{49}+t^7 \textrm{ZMod}(2) q^{47}+t^6 \textrm{ZMod}(0) q^{45}+t^5 \textrm{ZMod}(0) q^{45}+t^5 \textrm{ZMod}(2) q^{43}+t^4 \textrm{ZMod}(0) q^{41}+t^3 \textrm{ZMod}(0) q^{41}+t^3 \textrm{ZMod}(2) q^{39}+t^2 \textrm{ZMod}(0) q^{37}+\textrm{ZMod}(0) q^{35}+\textrm{ZMod}(0) q^{33}</math>
|- align=center
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=33</math>
|<math>i=35</math>
|- align=center
|<math>r=0</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=1</math>
|bgcolor=yellow|
|bgcolor=yellow|
|- align=center
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=3</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=4</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=5</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=6</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=7</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=8</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=9</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=10</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=11</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=12</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=13</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=14</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=15</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=16</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- 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>
|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>
|- align=center
|<math>r=20</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=21</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=22</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=23</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=24</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=25</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=26</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=27</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=28</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=29</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=30</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=31</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=32</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=33</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|<math>r=34</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|
|- align=center
|<math>r=35</math>
|bgcolor=yellow|<math>{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|}

Latest revision as of 07:11, 27 June 2006

[math]\displaystyle{ \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z} }[/math] [math]\displaystyle{ i=33 }[/math] [math]\displaystyle{ i=35 }[/math]
[math]\displaystyle{ r=0 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=1 }[/math]
[math]\displaystyle{ r=2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=3 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=4 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=5 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=6 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=7 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=8 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=9 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=10 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=11 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=12 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=13 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=14 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=15 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=16 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=17 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=18 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=19 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=20 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=21 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=22 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=23 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=24 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=25 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=26 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=27 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=28 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=29 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=30 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=31 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=32 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=33 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=34 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
[math]\displaystyle{ r=35 }[/math] [math]\displaystyle{ {\mathbb Z}_2 }[/math] [math]\displaystyle{ {\mathbb Z} }[/math]
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