10 120 - Revision history

ScottTestRobot at 22:02, 1 September 2005

2005-09-01T22:02:05Z

DrorsRobot at 22:47, 31 August 2005

2005-08-31T22:47:40Z

← Older revision		Revision as of 18:47, 31 August 2005
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	{{Rolfsen Knot Page\|		{{Rolfsen Knot Page\|
	n = 10 \|		n = 10 \|
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	coloured_jones_2 = <math> q^{-4} -4 q^{-5} +6 q^{-6} +7 q^{-7} -33 q^{-8} +31 q^{-9} +38 q^{-10} -110 q^{-11} +63 q^{-12} +109 q^{-13} -205 q^{-14} +62 q^{-15} +192 q^{-16} -255 q^{-17} +24 q^{-18} +239 q^{-19} -232 q^{-20} -27 q^{-21} +226 q^{-22} -154 q^{-23} -62 q^{-24} +158 q^{-25} -63 q^{-26} -59 q^{-27} +70 q^{-28} -8 q^{-29} -27 q^{-30} +15 q^{-31} +2 q^{-32} -4 q^{-33} + q^{-34} </math> \|		coloured_jones_2 = <math> q^{-4} -4 q^{-5} +6 q^{-6} +7 q^{-7} -33 q^{-8} +31 q^{-9} +38 q^{-10} -110 q^{-11} +63 q^{-12} +109 q^{-13} -205 q^{-14} +62 q^{-15} +192 q^{-16} -255 q^{-17} +24 q^{-18} +239 q^{-19} -232 q^{-20} -27 q^{-21} +226 q^{-22} -154 q^{-23} -62 q^{-24} +158 q^{-25} -63 q^{-26} -59 q^{-27} +70 q^{-28} -8 q^{-29} -27 q^{-30} +15 q^{-31} +2 q^{-32} -4 q^{-33} + q^{-34} </math> \|
	coloured_jones_3 = <math> q^{-6} -4 q^{-7} +6 q^{-8} +3 q^{-9} -13 q^{-10} -9 q^{-11} +37 q^{-12} +25 q^{-13} -92 q^{-14} -57 q^{-15} +192 q^{-16} +122 q^{-17} -314 q^{-18} -294 q^{-19} +504 q^{-20} +519 q^{-21} -629 q^{-22} -884 q^{-23} +741 q^{-24} +1251 q^{-25} -704 q^{-26} -1669 q^{-27} +615 q^{-28} +1972 q^{-29} -400 q^{-30} -2212 q^{-31} +163 q^{-32} +2306 q^{-33} +112 q^{-34} -2294 q^{-35} -384 q^{-36} +2187 q^{-37} +626 q^{-38} -1967 q^{-39} -855 q^{-40} +1689 q^{-41} +1013 q^{-42} -1329 q^{-43} -1111 q^{-44} +950 q^{-45} +1090 q^{-46} -555 q^{-47} -989 q^{-48} +237 q^{-49} +782 q^{-50} +5 q^{-51} -550 q^{-52} -125 q^{-53} +326 q^{-54} +151 q^{-55} -158 q^{-56} -116 q^{-57} +54 q^{-58} +71 q^{-59} -14 q^{-60} -30 q^{-61} + q^{-62} +9 q^{-63} +2 q^{-64} -4 q^{-65} + q^{-66} </math> \|		coloured_jones_3 = <math> q^{-6} -4 q^{-7} +6 q^{-8} +3 q^{-9} -13 q^{-10} -9 q^{-11} +37 q^{-12} +25 q^{-13} -92 q^{-14} -57 q^{-15} +192 q^{-16} +122 q^{-17} -314 q^{-18} -294 q^{-19} +504 q^{-20} +519 q^{-21} -629 q^{-22} -884 q^{-23} +741 q^{-24} +1251 q^{-25} -704 q^{-26} -1669 q^{-27} +615 q^{-28} +1972 q^{-29} -400 q^{-30} -2212 q^{-31} +163 q^{-32} +2306 q^{-33} +112 q^{-34} -2294 q^{-35} -384 q^{-36} +2187 q^{-37} +626 q^{-38} -1967 q^{-39} -855 q^{-40} +1689 q^{-41} +1013 q^{-42} -1329 q^{-43} -1111 q^{-44} +950 q^{-45} +1090 q^{-46} -555 q^{-47} -989 q^{-48} +237 q^{-49} +782 q^{-50} +5 q^{-51} -550 q^{-52} -125 q^{-53} +326 q^{-54} +151 q^{-55} -158 q^{-56} -116 q^{-57} +54 q^{-58} +71 q^{-59} -14 q^{-60} -30 q^{-61} + q^{-62} +9 q^{-63} +2 q^{-64} -4 q^{-65} + q^{-66} </math> \|
	coloured_jones_4 = \|		coloured_jones_4 = <math>\textrm{NotAvailable}(q)</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, 120]]</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, 120]]</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[1, 6, 2, 7], X[5, 18, 6, 19], X[13, 20, 14, 1], X[11, 16, 12, 17],		<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[1, 6, 2, 7], X[5, 18, 6, 19], X[13, 20, 14, 1], X[11, 16, 12, 17],
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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>5</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>5</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, 120]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_120_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, 120]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:10_120_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, 120]]&) /@ {~~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, 120]]&) /@ {
			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, 3, 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, 3, 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, 120]][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, 120]][t]</nowiki></pre></td></tr>

ScottKnotPageRobot at 14:38, 30 August 2005

2005-08-30T14:38:04Z

Show changes

DrorsRobot at 01:05, 30 August 2005

2005-08-30T01:05:25Z

← Older revision		Revision as of 21:05, 29 August 2005
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			{\| 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 22:23, 29 August 2005

2005-08-29T22:23:47Z

Show changes

ScottTestRobot at 00:11, 29 August 2005

2005-08-29T00:11:21Z

← Older revision		Revision as of 20:11, 28 August 2005
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	<!-- 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=120\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-5,7,-2,1,-6,8,-7,5,-4,6,-3,9,-8,4,-10,2,-9,3/goTop.html}}
	{\| align=left
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	\|[[Image:{{PAGENAME}}.gif]]
⚫	\|{{Rolfsen Knot ~~Site~~ ~~Links~~\|n=10\|k=120\|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/-1,10,-5,7,-2,1,-6,8,-7,5,-4,6,-3,9,-8,4,-10,2,-9,3/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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	<tr align=center><td>-23</td><td bgcolor=yellow> </td><td bgcolor=yellow>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-3</td></tr>		<tr align=center><td>-23</td><td bgcolor=yellow> </td><td bgcolor=yellow>3</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>-3</td></tr>
	<tr align=center><td>-25</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>-25</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 q t q t</nowiki></pre></td></tr>		q t q t q t q t q t</nowiki></pre></td></tr>
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			[[Category:Knot Page]]

ScottTestRobot at 01:48, 28 August 2005

2005-08-28T01:48:04Z

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ScottKnotPageRobot: Resetting knot page to basic template.

2005-08-23T22:51:06Z

Resetting knot page to basic template.

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