Data:10 113/Integral Khovanov Homology: Difference between revisions

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{| border=1 cellspacing=0 cellpadding=1
{| border=1 cellspacing=0 cellpadding=1
|- align=center
|- align=center
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}(10_113)</math>
|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
|<math>i=1</math>
|<math>i=1</math>
|<math>i=3</math>
|<math>i=3</math>
Line 10: Line 10:
|- align=center
|- align=center
|<math>r=-2</math>
|<math>r=-2</math>
|bgcolor=yellow|<math>{\mathbb Z}^3\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}\oplus{\mathbb Z}_2</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|bgcolor=yellow|<math>{\mathbb Z}</math>
|- align=center
|- align=center
|<math>r=-1</math>
|<math>r=-1</math>
|bgcolor=yellow|<math>{\mathbb Z}^5\oplus{\mathbb Z}_2^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{5}\oplus{\mathbb Z}_2^{3}</math>
|bgcolor=yellow|<math>{\mathbb Z}^3</math>
|bgcolor=yellow|<math>{\mathbb Z}^{3}</math>
|- align=center
|- align=center
|<math>r=0</math>
|<math>r=0</math>
|bgcolor=yellow|<math>{\mathbb Z}^9\oplus{\mathbb Z}_2^5</math>
|bgcolor=yellow|<math>{\mathbb Z}^{9}\oplus{\mathbb Z}_2^{5}</math>
|bgcolor=yellow|<math>{\mathbb Z}^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}</math>
|- align=center
|- align=center
|<math>r=1</math>
|<math>r=1</math>
|bgcolor=yellow|<math>{\mathbb Z}^9\oplus{\mathbb Z}_2^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{9}\oplus{\mathbb Z}_2^{8}</math>
|bgcolor=yellow|<math>{\mathbb Z}^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}</math>
|- align=center
|- align=center
|<math>r=2</math>
|<math>r=2</math>
|bgcolor=yellow|<math>{\mathbb Z}^10\oplus{\mathbb Z}_2^9</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}\oplus{\mathbb Z}_2^{9}</math>
|bgcolor=yellow|<math>{\mathbb Z}^9</math>
|bgcolor=yellow|<math>{\mathbb Z}^{9}</math>
|- align=center
|- align=center
|<math>r=3</math>
|<math>r=3</math>
|bgcolor=yellow|<math>{\mathbb Z}^8\oplus{\mathbb Z}_2^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}\oplus{\mathbb Z}_2^{10}</math>
|bgcolor=yellow|<math>{\mathbb Z}^10</math>
|bgcolor=yellow|<math>{\mathbb Z}^{10}</math>
|- align=center
|- align=center
|<math>r=4</math>
|<math>r=4</math>
|bgcolor=yellow|<math>{\mathbb Z}^6\oplus{\mathbb Z}_2^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}\oplus{\mathbb Z}_2^{8}</math>
|bgcolor=yellow|<math>{\mathbb Z}^8</math>
|bgcolor=yellow|<math>{\mathbb Z}^{8}</math>
|- align=center
|- align=center
|<math>r=5</math>
|<math>r=5</math>
|bgcolor=yellow|<math>{\mathbb Z}^4\oplus{\mathbb Z}_2^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}\oplus{\mathbb Z}_2^{6}</math>
|bgcolor=yellow|<math>{\mathbb Z}^6</math>
|bgcolor=yellow|<math>{\mathbb Z}^{6}</math>
|- align=center
|- align=center
|<math>r=6</math>
|<math>r=6</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^4</math>
|bgcolor=yellow|<math>{\mathbb Z}\oplus{\mathbb Z}_2^{4}</math>
|bgcolor=yellow|<math>{\mathbb Z}^4</math>
|bgcolor=yellow|<math>{\mathbb Z}^{4}</math>
|- align=center
|- align=center
|<math>r=7</math>
|<math>r=7</math>

Latest revision as of 08:06, 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 i=3}
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 r=-3} 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}}
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 r=-2} 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}^{3}\oplus{\mathbb Z}_2} 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}}
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 r=-1} 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}^{5}\oplus{\mathbb Z}_2^{3}} 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}^{3}}
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 r=0} 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}^{9}\oplus{\mathbb Z}_2^{5}} 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}^{6}}
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 r=1} 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}^{9}\oplus{\mathbb Z}_2^{8}} 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}^{8}}
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 r=2} 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}^{10}\oplus{\mathbb Z}_2^{9}} 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}^{9}}
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 r=3} 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}^{8}\oplus{\mathbb Z}_2^{10}} 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}^{10}}
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 r=4} 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}^{6}\oplus{\mathbb Z}_2^{8}} 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}^{8}}
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 r=5} 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}^{4}\oplus{\mathbb Z}_2^{6}} 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}^{6}}
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 r=6} 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}\oplus{\mathbb Z}_2^{4}} 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}^{4}}
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 r=7} 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}_2} 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}}
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