10 22 - Revision history

Drorbn: Reverted edits by DelacEltol (Talk); changed back to last version by ScottTestRobot

2008-12-19T23:58:05Z

Reverted edits by DelacEltol (Talk); changed back to last version by ScottTestRobot

← Older revision		Revision as of 19:58, 19 December 2008
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	cacoer
	<!-- WARNING! WARNING! WARNING!		<!-- WARNING! WARNING! WARNING!
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DelacEltol: taactrerno

2008-12-19T23:42:29Z

taactrerno

← Older revision		Revision as of 19:42, 19 December 2008
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			cacoer
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ScottTestRobot at 21:59, 1 September 2005

2005-09-01T21:59:01Z

Show changes

DrorsRobot at 22:43, 31 August 2005

2005-08-31T22:43:07Z

← Older revision		Revision as of 18:43, 31 August 2005
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			<!-- WARNING! WARNING! WARNING!
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	<!-- --> <!--
			<!-- You probably want to edit the template referred to immediately below. (See [[Category:Knot Page Template]].)
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			<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Rolfsen_Splice_Base]]. -->
			<!-- <math>\text{Null}</math> -->
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	{{Rolfsen Knot Page\|		{{Rolfsen Knot Page\|
	n = 10 \|		n = 10 \|
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	coloured_jones_3 = <math>q^{36}-2 q^{35}+2 q^{33}+3 q^{32}-6 q^{31}-5 q^{30}+7 q^{29}+14 q^{28}-11 q^{27}-22 q^{26}+5 q^{25}+39 q^{24}-q^{23}-49 q^{22}-15 q^{21}+62 q^{20}+32 q^{19}-67 q^{18}-52 q^{17}+66 q^{16}+73 q^{15}-60 q^{14}-91 q^{13}+47 q^{12}+111 q^{11}-36 q^{10}-122 q^9+17 q^8+134 q^7-3 q^6-139 q^5-11 q^4+136 q^3+25 q^2-129 q-28+108 q^{-1} +36 q^{-2} -90 q^{-3} -32 q^{-4} +66 q^{-5} +27 q^{-6} -46 q^{-7} -18 q^{-8} +28 q^{-9} +14 q^{-10} -21 q^{-11} -5 q^{-12} +11 q^{-13} +5 q^{-14} -10 q^{-15} +4 q^{-17} +2 q^{-18} -5 q^{-19} + q^{-20} + q^{-21} + q^{-22} -2 q^{-23} + q^{-24} </math> \|		coloured_jones_3 = <math>q^{36}-2 q^{35}+2 q^{33}+3 q^{32}-6 q^{31}-5 q^{30}+7 q^{29}+14 q^{28}-11 q^{27}-22 q^{26}+5 q^{25}+39 q^{24}-q^{23}-49 q^{22}-15 q^{21}+62 q^{20}+32 q^{19}-67 q^{18}-52 q^{17}+66 q^{16}+73 q^{15}-60 q^{14}-91 q^{13}+47 q^{12}+111 q^{11}-36 q^{10}-122 q^9+17 q^8+134 q^7-3 q^6-139 q^5-11 q^4+136 q^3+25 q^2-129 q-28+108 q^{-1} +36 q^{-2} -90 q^{-3} -32 q^{-4} +66 q^{-5} +27 q^{-6} -46 q^{-7} -18 q^{-8} +28 q^{-9} +14 q^{-10} -21 q^{-11} -5 q^{-12} +11 q^{-13} +5 q^{-14} -10 q^{-15} +4 q^{-17} +2 q^{-18} -5 q^{-19} + q^{-20} + q^{-21} + q^{-22} -2 q^{-23} + q^{-24} </math> \|
	coloured_jones_4 = <math>q^{60}-2 q^{59}+2 q^{57}-q^{56}+4 q^{55}-8 q^{54}-q^{53}+8 q^{52}-2 q^{51}+15 q^{50}-23 q^{49}-13 q^{48}+14 q^{47}+3 q^{46}+52 q^{45}-37 q^{44}-44 q^{43}-8 q^{42}-7 q^{41}+128 q^{40}-13 q^{39}-64 q^{38}-68 q^{37}-79 q^{36}+200 q^{35}+55 q^{34}-14 q^{33}-113 q^{32}-218 q^{31}+201 q^{30}+108 q^{29}+109 q^{28}-74 q^{27}-355 q^{26}+117 q^{25}+84 q^{24}+249 q^{23}+48 q^{22}-431 q^{21}+q^{20}-10 q^{19}+354 q^{18}+197 q^{17}-442 q^{16}-108 q^{15}-128 q^{14}+422 q^{13}+330 q^{12}-418 q^{11}-195 q^{10}-234 q^9+448 q^8+431 q^7-359 q^6-245 q^5-322 q^4+410 q^3+477 q^2-253 q-222-372 q^{-1} +289 q^{-2} +431 q^{-3} -123 q^{-4} -124 q^{-5} -343 q^{-6} +136 q^{-7} +294 q^{-8} -37 q^{-9} -3 q^{-10} -236 q^{-11} +29 q^{-12} +142 q^{-13} -17 q^{-14} +60 q^{-15} -120 q^{-16} - q^{-17} +48 q^{-18} -27 q^{-19} +58 q^{-20} -49 q^{-21} +2 q^{-22} +15 q^{-23} -26 q^{-24} +33 q^{-25} -20 q^{-26} +5 q^{-27} +7 q^{-28} -16 q^{-29} +14 q^{-30} -8 q^{-31} +3 q^{-32} +4 q^{-33} -7 q^{-34} +4 q^{-35} -2 q^{-36} + q^{-37} + q^{-38} -2 q^{-39} + q^{-40} </math> \|		coloured_jones_4 = <math>q^{60}-2 q^{59}+2 q^{57}-q^{56}+4 q^{55}-8 q^{54}-q^{53}+8 q^{52}-2 q^{51}+15 q^{50}-23 q^{49}-13 q^{48}+14 q^{47}+3 q^{46}+52 q^{45}-37 q^{44}-44 q^{43}-8 q^{42}-7 q^{41}+128 q^{40}-13 q^{39}-64 q^{38}-68 q^{37}-79 q^{36}+200 q^{35}+55 q^{34}-14 q^{33}-113 q^{32}-218 q^{31}+201 q^{30}+108 q^{29}+109 q^{28}-74 q^{27}-355 q^{26}+117 q^{25}+84 q^{24}+249 q^{23}+48 q^{22}-431 q^{21}+q^{20}-10 q^{19}+354 q^{18}+197 q^{17}-442 q^{16}-108 q^{15}-128 q^{14}+422 q^{13}+330 q^{12}-418 q^{11}-195 q^{10}-234 q^9+448 q^8+431 q^7-359 q^6-245 q^5-322 q^4+410 q^3+477 q^2-253 q-222-372 q^{-1} +289 q^{-2} +431 q^{-3} -123 q^{-4} -124 q^{-5} -343 q^{-6} +136 q^{-7} +294 q^{-8} -37 q^{-9} -3 q^{-10} -236 q^{-11} +29 q^{-12} +142 q^{-13} -17 q^{-14} +60 q^{-15} -120 q^{-16} - q^{-17} +48 q^{-18} -27 q^{-19} +58 q^{-20} -49 q^{-21} +2 q^{-22} +15 q^{-23} -26 q^{-24} +33 q^{-25} -20 q^{-26} +5 q^{-27} +7 q^{-28} -16 q^{-29} +14 q^{-30} -8 q^{-31} +3 q^{-32} +4 q^{-33} -7 q^{-34} +4 q^{-35} -2 q^{-36} + q^{-37} + q^{-38} -2 q^{-39} + q^{-40} </math> \|
	coloured_jones_5 = \|		coloured_jones_5 = <math>\textrm{NotAvailable}(q)</math> \|
	coloured_jones_6 = \|		coloured_jones_6 = <math>\textrm{NotAvailable}(q)</math> \|
	coloured_jones_7 = \|		coloured_jones_7 = <math>\textrm{NotAvailable}(q)</math> \|
	computer_talk =		computer_talk =
	<table>		<table>
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	<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>		<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>
	</tr>		</tr>
	<tr valign=top><td colspan=2>Loading KnotTheory` (version of August 29, 2005, 15:33:11)...</td></tr>		<tr valign=top><td colspan=2>Loading KnotTheory` (version of August 29, 2005, 15:27:48)...</td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[2]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>PD[Knot[10, 22]]</nowiki></pre></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[2]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>PD[Knot[10, 22]]</nowiki></pre></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[2]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[6, 2, 7, 1], X[16, 12, 17, 11], X[12, 3, 13, 4], X[2, 15, 3, 16],		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[2]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[6, 2, 7, 1], X[16, 12, 17, 11], X[12, 3, 13, 4], X[2, 15, 3, 16],
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	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[7]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>4</nowiki></pre></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[7]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>4</nowiki></pre></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[8]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Show[DrawMorseLink[Knot[10, 22]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_22_ML.gif]]</td></tr><tr valign=top><td><tt><font color=blue>Out[8]=</font></tt><td><tt><font color=black>-Graphics-</font></tt></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[8]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Show[DrawMorseLink[Knot[10, 22]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_22_ML.gif]]</td></tr><tr valign=top><td><tt><font color=blue>Out[8]=</font></tt><td><tt><font color=black>-Graphics-</font></tt></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[9]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>(#[Knot[10, 22]]&) /@ {~~SymmetryType, UnknottingNumber, ThreeGenus, BridgeIndex, SuperBridgeIndex, NakanishiIndex}</nowiki></pre></td></tr>~~		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[9]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki> (#[Knot[10, 22]]&) /@ {
			SymmetryType, UnknottingNumber, ThreeGenus,
			BridgeIndex, SuperBridgeIndex, NakanishiIndex
			}</nowiki></pre></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[9]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Reversible, 2, 3, 2, NotAvailable, 1}</nowiki></pre></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[9]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{Reversible, 2, 3, 2, NotAvailable, 1}</nowiki></pre></td></tr>
	<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[10]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>alex = Alexander[Knot[10, 22]][t]</nowiki></pre></td></tr>		<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[10]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>alex = Alexander[Knot[10, 22]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:34, 30 August 2005

2005-08-30T14:34:54Z

Show changes

DrorsRobot at 01:02, 30 August 2005

2005-08-30T01:02:02Z

← Older revision		Revision as of 21:02, 29 August 2005
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	</table>		</table>

			{\| width=100%
	See/edit the [[Rolfsen_Splice_Template]].		\|align=left\|See/edit the [[Rolfsen_Splice_Template]].

			Back to the [[#top\|top]].
			\|align=right\|{{Knot Navigation Links\|ext=gif}}
			\|}

	[[Category:Knot Page]]		[[Category:Knot Page]]

DrorsRobot at 22:02, 29 August 2005

2005-08-29T22:02:44Z

Show changes

ScottTestRobot at 00:07, 29 August 2005

2005-08-29T00:07:40Z

← Older revision		Revision as of 20:07, 28 August 2005
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	<span id="top"></span>		<span id="top"></span>
			<!-- -->

	<!-- this relies on transclusion for next and previous links -->		<!-- this relies on transclusion for next and previous links -->
	{{Knot Navigation Links\|ext=gif}}		{{Knot Navigation Links\|ext=gif}}

		⚫	{{Rolfsen Knot Page Header\|n=10\|k=22\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-9,5,-1,6,-8,7,-10,2,-3,9,-5,4,-2,10,-6,8,-7/goTop.html}}
	{\| align=left
	\|- valign=top
	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=22\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-9,5,-1,6,-8,7,-10,2,-3,9,-5,4,-2,10,-6,8,-7/goTop.html}}
	\|{{:{{PAGENAME}} Quick Notes}}
	\|}

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	{{Vassiliev Invariants}}		{{Vassiliev Invariants}}

	~~===[[~~Khovanov Homology~~]]=~~==		{{Khovanov Homology\|table=<table border=1>

	The coefficients of the monomials <math>t^rq^j</math> are shown, along with their alternating sums <math>\chi</math> (fixed <math>j</math>, alternation over <math>r</math>). The squares with <font class=HLYellow>yellow</font> highlighting are those on the "critical diagonals", where <math>j-2r=s+1</math> or <math>j-2r=s+1</math>, where <math>s=</math>{{Data:{{PAGENAME}}/Signature}} is the signature of {{PAGENAME}}. Nonzero entries off the critical diagonals (if any exist) are highlighted in <font class=HLRed>red</font>.

	<center><table border=1>
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	<td width=13.3333%><table cellpadding=0 cellspacing=0>		<td width=13.3333%><table cellpadding=0 cellspacing=0>
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	<tr align=center><td>-7</td><td bgcolor=yellow> </td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-1</td></tr>		<tr align=center><td>-7</td><td bgcolor=yellow> </td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-1</td></tr>
	<tr align=center><td>-9</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>1</td></tr>		<tr align=center><td>-9</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>1</td></tr>
	</table>~~</center>~~		</table>}}

	{{Computer Talk Header}}		{{Computer Talk Header}}

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	q t + q t + q t</nowiki></pre></td></tr>		q t + q t + q t</nowiki></pre></td></tr>
	</table>		</table>

			[[Category:Knot Page]]

ScottTestRobot at 01:45, 28 August 2005

2005-08-28T01:45:44Z

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ScottKnotPageRobot: Resetting knot page to basic template.

2005-08-23T22:49:37Z

Resetting knot page to basic template.

New page