Data:T(7,4)/Integral Khovanov Homology - Revision history

DrorsRobot at 13:00, 27 June 2006

2006-06-27T13:00:43Z

← Older revision		Revision as of 09:00, 27 June 2006
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	\|<math>r=8</math>		\|<math>r=8</math>
	\|		\|
	\|bgcolor=yellow\|<math>{\mathbb Z}^2</math>		\|bgcolor=yellow\|<math>{\mathbb Z}^{2}</math>
	\|bgcolor=yellow\|		\|bgcolor=yellow\|
	\|		\|
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	\|		\|
	\|bgcolor=yellow\|<math>{\mathbb Z}_2\oplus{\mathbb Z}_4</math>		\|bgcolor=yellow\|<math>{\mathbb Z}_2\oplus{\mathbb Z}_4</math>
	\|bgcolor=yellow\|<math>{\mathbb Z}^2</math>		\|bgcolor=yellow\|<math>{\mathbb Z}^{2}</math>
	\|		\|
	\|		\|
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	\|<math>r=11</math>		\|<math>r=11</math>
	\|<math>{\mathbb Z}_2</math>		\|<math>{\mathbb Z}_2</math>
	\|bgcolor=yellow\|<math>{\mathbb Z}^2\oplus{\mathbb Z}_2</math>		\|bgcolor=yellow\|<math>{\mathbb Z}^{2}\oplus{\mathbb Z}_2</math>
	\|bgcolor=yellow\|<math>{\mathbb Z}</math>		\|bgcolor=yellow\|<math>{\mathbb Z}</math>
	\|		\|

DrorsRobot at 12:10, 27 June 2006

2006-06-27T12:10:31Z

← Older revision		Revision as of 08:10, 27 June 2006
Line 1:		Line 1:
	{\| 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}~~(T(7,4))~~</math>		\|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math>
	\|<math>i=11</math>		\|<math>i=11</math>
	\|<math>i=13</math>		\|<math>i=13</math>

DrorsRobot at 03:36, 27 June 2006

2006-06-27T03:36:53Z

← Older revision		Revision as of 23:36, 26 June 2006
Line 1:		Line 1:
	{\| border=1 cellspacing=0 cellpadding=1		{\| border=1 cellspacing=0 cellpadding=1
	\|- align=center		\|- align=center
	\|<math>\dim{\mathcal G}_{2r+j}\operatorname{KH}^r_{\mathbb Z}(T(7,4))</math>		\|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}(T(7,4))</math>
	\|<math>j=11</math>		\|<math>i=11</math>
	\|<math>j=13</math>		\|<math>i=13</math>
	\|<math>j=15</math>		\|<math>i=15</math>
	\|<math>j=17</math>		\|<math>i=17</math>
	\|<math>j=19</math>		\|<math>i=19</math>
	\|- align=center		\|- align=center
	\|<math>r=0</math>		\|<math>r=0</math>

DrorsRobot at 03:29, 27 June 2006

2006-06-27T03:29:34Z

← Older revision		Revision as of 23:29, 26 June 2006
Line 1:		Line 1:
	{\| border=1		{\| border=1 cellspacing=0 cellpadding=1
	\|- align=center		\|- align=center
			\|<math>\dim{\mathcal G}_{2r+j}\operatorname{KH}^r_{\mathbb Z}(T(7,4))</math>
	\|
	\|<math>j=11</math>		\|<math>j=11</math>
	\|<math>j=13</math>		\|<math>j=13</math>

DrorsRobot at 03:20, 27 June 2006

2006-06-27T03:20:32Z

← Older revision		Revision as of 23:20, 26 June 2006
Line 1:		Line 1:
			{\| border=1
	<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
			\|
			\|<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>
			\|
			\|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\|<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>
			\|
			\|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\|
			\|
			\|
			\|}

DrorsRobot at 02:41, 27 June 2006

2006-06-27T02:41:16Z

New page

<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>