L6a3 - Revision history

Drorbn: Reverted edit of 69.206.235.214, changed back to last version by DrorsRobot

2007-02-24T02:55:45Z

Reverted edit of 69.206.235.214, changed back to last version by DrorsRobot

← Older revision		Revision as of 22:55, 23 February 2007
Line 1:		Line 1:
			<!-- WARNING! WARNING! WARNING!
	[url]http://freefurniture.php1h.com/furnitures[/url]
			<!-- This page was generated from the splice template [[Link_Splice_Base]]. Please do not edit!
	<a href='http://freefurniture.php1h.com/furnitures'>furnitures</a>
			<!-- You probably want to edit the template referred to immediately below. (See [[Category:Knot Page Template]].)
	[url]http://freefurniture.php1h.com/ashley_bedroom[/url]
			<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Link_Splice_Base]]. -->
	<a href='http://freefurniture.php1h.com/ashley_bedroom'>ashley bedroom</a>
			<!-- <math>\text{Null}</math> -->
	[url]http://freefurniture.php1h.com/modern_furniture[/url]
			<!-- <math>\text{Null}</math> -->
	<a href='http://freefurniture.php1h.com/modern_furniture'>modern furniture</a>
			<!-- WARNING! WARNING! WARNING!
	[url]http://freefurniture.php1h.com/ashley_furniture[/url]
			<!-- This page was generated from the splice template [[Link Splice Template]]. Please do not edit!
	<a href='http://freefurniture.php1h.com/ashley_furniture'>ashley furniture</a>
			<!-- Almost certainly, you want to edit [[Template:Link Page]], which actually produces this page.
			<!-- The text below simply calls [[Template:Link Page]] setting the values of all the parameters appropriately.
			<!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Link Splice Template]]. -->
			<!-- <math>\text{Null}</math> -->
			{{Link Page\|
			n = 6 \|
			t = a \|
			k = 3 \|
			KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-2,3,-6,4,-5:5,-1,2,-3,6,-4/goTop.html \|
			braid_table = <table cellspacing=0 cellpadding=0 border=0 style="white-space: pre">
			<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]]</td></tr>
			<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]]</td></tr>
			</table> \|
			khovanov_table = <table border=1>
			<tr align=center>
			<td width=18.1818%><table cellpadding=0 cellspacing=0>
			<tr><td>\</td><td> </td><td>r</td></tr>
			<tr><td> </td><td> \ </td><td> </td></tr>
			<tr><td>j</td><td> </td><td>\</td></tr>
			</table></td>
			<td width=9.09091%>-6</td ><td width=9.09091%>-5</td ><td width=9.09091%>-4</td ><td width=9.09091%>-3</td ><td width=9.09091%>-2</td ><td width=9.09091%>-1</td ><td width=9.09091%>0</td ><td width=18.1818%>χ</td></tr>
			<tr align=center><td>-4</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>1</td><td>1</td></tr>
			<tr align=center><td>-6</td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow>1</td><td>1</td></tr>
			<tr align=center><td>-8</td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>1</td><td bgcolor=yellow> </td><td> </td><td>1</td></tr>
			<tr align=center><td>-10</td><td> </td><td> </td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow> </td><td> </td><td> </td><td>0</td></tr>
			<tr align=center><td>-12</td><td> </td><td> </td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td>0</td></tr>
			<tr align=center><td>-14</td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow> </td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
			<tr align=center><td>-16</td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
			<tr align=center><td>-18</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>1</td></tr>
			</table> \|
			computer_talk =
			<table>
			<tr valign=top>
			<td><pre style="color: blue; border: 0px; padding: 0em">In[1]:=    </pre></td>
			<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>
			</tr>
			<tr valign=top><td colspan=2>Loading KnotTheory` (version of September 3, 2005, 2:11:43)...</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>Crossings[Link[6, Alternating, 3]]</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>6</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[3]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Length[Skeleton[Link[6, Alternating, 3]]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[3]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>2</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[4]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>PD[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[4]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[8, 1, 9, 2], X[2, 9, 3, 10], X[10, 3, 11, 4], X[12, 5, 7, 6],

			X[6, 7, 1, 8], X[4, 11, 5, 12]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[5]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>GaussCode[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[5]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>GaussCode[{1, -2, 3, -6, 4, -5}, {5, -1, 2, -3, 6, -4}]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[6]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>BR[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[6]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>BR[2, {-1, -1, -1, -1, -1, -1}]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[7]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Show[DrawMorseLink[Link[6, Alternating, 3]]]</nowiki></pre></td></tr><tr><td></td><td align=left>[[Image:L6a3_ML.gif]]</td></tr><tr valign=top><td><tt><font color=blue>Out[7]=</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>KnotSignature[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[8]=  </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[9]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>J=Jones[Link[6, Alternating, 3]][q]</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> -(17/2) -(15/2) -(13/2) -(11/2) -(9/2) -(5/2)
			-q + q - q + q - q - q</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>A2Invariant[Link[6, Alternating, 3]][q]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[10]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -26 -24 -22 -16 -14 2 -10 -8
			q + q + q + q + q + --- + q + q
			12
			q</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[11]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>HOMFLYPT[Link[6, Alternating, 3]][a, z]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[11]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> 5 7
			a a 5 7 5 3 7 3 5 5
			-(--) + -- - 6 a z + 3 a z - 5 a z + a z - a z
			z z</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[12]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kauffman[Link[6, Alternating, 3]][a, z]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[12]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> 5 7
			6 a a 5 7 9 11 6 2 8 2
			-a + -- + -- - 6 a z - 4 a z + a z - a z + 3 a z + 2 a z -
			z z

			10 2 5 3 7 3 9 3 6 4 8 4 5 5 7 5
			a z + 5 a z + 4 a z - a z - a z - a z - a z - a z</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[13]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kh[Link[6, Alternating, 3]][q, t]</nowiki></pre></td></tr>
			<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[13]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -6 -4 1 1 1 1 1 1
			q + q + ------ + ------ + ------ + ------ + ------ + -----
			18 6 16 6 16 5 12 4 12 3 8 2
			q t q t q t q t q t q t</nowiki></pre></td></tr>
			</table> }}

69.206.235.214 at 00:14, 24 February 2007

2007-02-24T00:14:26Z

Show changes

DrorsRobot at 07:12, 3 September 2005

2005-09-03T07:12:49Z

← Older revision		Revision as of 03:12, 3 September 2005
Line 16:		Line 16:
	k = 3 \|		k = 3 \|
	KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-2,3,-6,4,-5:5,-1,2,-3,6,-4/goTop.html \|		KnotilusURL = http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-2,3,-6,4,-5:5,-1,2,-3,6,-4/goTop.html \|
	braid_table = <table cellspacing=0 cellpadding=0 border=0>		braid_table = <table cellspacing=0 cellpadding=0 border=0 style="white-space: pre">
	<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]]</td></tr>		<tr><td>[[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]][[Image:BraidPart3.gif]]</td></tr>
	<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]]</td></tr>		<tr><td>[[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]][[Image:BraidPart4.gif]]</td></tr>
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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 September 2, 2005, 15:8:39)...</td></tr>		<tr valign=top><td colspan=2>Loading KnotTheory` (version of September 3, 2005, 2:11:43)...</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>Crossings[Link[6, Alternating, 3]]</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>Crossings[Link[6, Alternating, 3]]</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>6</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>6</nowiki></pre></td></tr>

DrorsRobot at 22:41, 2 September 2005

2005-09-02T22:41:02Z

Show changes

ScottTestRobot at 22:35, 1 September 2005

2005-09-01T22:35:10Z

Show changes

DrorsRobot at 16:46, 31 August 2005

2005-08-31T16:46:49Z

Show changes

ScottKnotPageRobot at 15:56, 30 August 2005

2005-08-30T15:56:41Z

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ScottTestRobot at 01:14, 29 August 2005

2005-08-29T01:14:49Z

New page

<span id="top"></span>


{{Knot Navigation Links|ext=gif}}

{{Link Page Header|n=6|t=a|k=3|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-2,3,-6,4,-5:5,-1,2,-3,6,-4/goTop.html}}

<br style="clear:both" />

{{:{{PAGENAME}} Further Notes and Views}}

{{Link Presentations}}
{{Link Polynomial Invariants}}
{{Vassiliev Invariants}}

{{Khovanov Homology|table=<table border=1>
<tr align=center>
<td width=18.1818%><table cellpadding=0 cellspacing=0>
<tr><td>\</td><td> </td><td>r</td></tr>
<tr><td> </td><td> \ </td><td> </td></tr>
<tr><td>j</td><td> </td><td>\</td></tr>
</table></td>
<td width=9.09091%>-6</td ><td width=9.09091%>-5</td ><td width=9.09091%>-4</td ><td width=9.09091%>-3</td ><td width=9.09091%>-2</td ><td width=9.09091%>-1</td ><td width=9.09091%>0</td ><td width=18.1818%>χ</td></tr>
<tr align=center><td>-4</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>1</td><td>1</td></tr>
<tr align=center><td>-6</td><td> </td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow>1</td><td>1</td></tr>
<tr align=center><td>-8</td><td> </td><td> </td><td> </td><td> </td><td bgcolor=yellow>1</td><td bgcolor=yellow> </td><td> </td><td>1</td></tr>
<tr align=center><td>-10</td><td> </td><td> </td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-12</td><td> </td><td> </td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-14</td><td> </td><td bgcolor=yellow> </td><td bgcolor=yellow> </td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-16</td><td bgcolor=yellow>1</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td>0</td></tr>
<tr align=center><td>-18</td><td bgcolor=yellow>1</td><td> </td><td> </td><td> </td><td> </td><td> </td><td> </td><td>1</td></tr>
</table>}}

{{Computer Talk Header}}

<table>
<tr valign=top>
<td><pre style="color: blue; border: 0px; padding: 0em">In[1]:=    </pre></td>
<td align=left><pre style="color: red; border: 0px; padding: 0em"><< KnotTheory`</pre></td>
</tr>
<tr valign=top><td colspan=2><pre style="border: 0px; padding: 0em">Loading KnotTheory` (version of August 17, 2005, 14:44:34)...</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>Crossings[Link[6, Alternating, 3]]</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>6</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[3]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>PD[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[3]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>PD[X[8, 1, 9, 2], X[2, 9, 3, 10], X[10, 3, 11, 4], X[12, 5, 7, 6],

X[6, 7, 1, 8], X[4, 11, 5, 12]]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[4]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>GaussCode[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[4]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>GaussCode[{1, -2, 3, -6, 4, -5}, {5, -1, 2, -3, 6, -4}]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[5]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>BR[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[5]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>BR[Link[6, Alternating, 3]]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[6]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>alex = Alexander[Link[6, Alternating, 3]][t]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[6]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>ComplexInfinity</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[7]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Conway[Link[6, Alternating, 3]][z]</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>ComplexInfinity</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>Select[AllKnots[], (alex === Alexander[#][t])&]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[8]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{}</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>{KnotDet[Link[6, Alternating, 3]], KnotSignature[Link[6, Alternating, 3]]}</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>{Infinity, -5}</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>J=Jones[Link[6, Alternating, 3]][q]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[10]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -(17/2) -(15/2) -(13/2) -(11/2) -(9/2) -(5/2)
-q + q - q + q - q - q</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[11]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[11]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki>{}</nowiki></pre></td></tr>
<math>\textrm{Include}(\textrm{ColouredJonesM.mhtml})</math>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[12]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>A2Invariant[Link[6, Alternating, 3]][q]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[12]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -26 -24 -22 -16 -14 2 -10 -8
q + q + q + q + q + --- + q + q
12
q</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[13]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kauffman[Link[6, Alternating, 3]][a, z]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[13]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> 5 7
6 a a 5 7 9 11 6 2 8 2
-a + -- + -- - 6 a z - 4 a z + a z - a z + 3 a z + 2 a z -
z z

10 2 5 3 7 3 9 3 6 4 8 4 5 5 7 5
a z + 5 a z + 4 a z - a z - a z - a z - a z - a z</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[14]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>{Vassiliev[2][Link[6, Alternating, 3]], Vassiliev[3][Link[6, Alternating, 3]]}</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[14]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> 177
{0, -(---)}
16</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>In[15]:=</nowiki></pre></td><td><pre style="color: red; border: 0px; padding: 0em"><nowiki>Kh[Link[6, Alternating, 3]][q, t]</nowiki></pre></td></tr>
<tr valign=top><td><pre style="color: blue; border: 0px; padding: 0em"><nowiki>Out[15]=  </nowiki></pre></td><td><pre style="color: black; border: 0px; padding: 0em"><nowiki> -6 -4 1 1 1 1 1 1
q + q + ------ + ------ + ------ + ------ + ------ + -----
18 6 16 6 16 5 12 4 12 3 8 2
q t q t q t q t q t q t</nowiki></pre></td></tr>
</table>

[[Category:Knot Page]]