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

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<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
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|<math>j=11</math>
|<math>j=13</math>
|<math>j=15</math>
|<math>j=17</math>
|<math>j=19</math>
|- align=center
|<math>r=0</math>
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|bgcolor=yellow|
|bgcolor=yellow|
|<math>{\mathbb Z}</math>
|<math>{\mathbb Z}</math>
|- align=center
|<math>r=1</math>
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|bgcolor=yellow|
|bgcolor=yellow|
|
|
|- align=center
|<math>r=2</math>
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|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>
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|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|
|
|
|}

Revision as of 22:20, 26 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 j=11} 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 j=13} 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 j=15} 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 j=17} 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 j=19}
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}} 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 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}}
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}_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=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}} 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=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}} 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=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}} 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=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}\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=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}^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 r=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}_2\oplus{\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 {\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 r=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}} 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} 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 r=11} 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}^2\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=12} 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 {\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=13} 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 {\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=14} 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}_2}