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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL9n22%2FKauffman_Polynomial</id>
	<title>Data:L9n22/Kauffman Polynomial - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL9n22%2FKauffman_Polynomial"/>
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	<updated>2026-04-14T22:40:32Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L9n22/Kauffman_Polynomial&amp;diff=1717382&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:21, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L9n22/Kauffman_Polynomial&amp;diff=1717382&amp;oldid=prev"/>
		<updated>2013-02-20T21:21:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:21, 20 February 2013&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7+&lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt;+a^6 z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; z^6+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt;-2 a^5 z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt;^5-5 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/del&gt; a^4 z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; z^4+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^4-5&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-17&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/del&gt;^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+23&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+16&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+2 z^2+11 a^5 z&lt;/del&gt;+21 a^3 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/del&gt; a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/del&gt;3 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/del&gt; a^6-14 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/del&gt; a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/del&gt;} -&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9&lt;/del&gt; a^3 z^{-1} -5 a z^{-1} - a^{-1} z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2 a^6 &lt;/del&gt;z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} +5 a^4&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} &lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 a^2&lt;/del&gt; z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+ z^{&lt;/del&gt;-2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} &lt;/del&gt;&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6-5 &lt;/ins&gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9 &lt;/ins&gt;a^6 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-2} -7 a&lt;/ins&gt;^6+a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt;-2 a^5 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11&lt;/ins&gt; a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;-5 a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1} +5&lt;/ins&gt; a^4 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^4+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;23&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+5&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2}&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-14&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/ins&gt;^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt;+a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7+&lt;/ins&gt;2 a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5-17&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;+21 a^3 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^&lt;/ins&gt;3 z^{-1} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/ins&gt; a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2 z&lt;/ins&gt;^6-14 a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2 z&lt;/ins&gt;^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+16&lt;/ins&gt; a^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z^&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; z^{-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt;} -&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10&lt;/ins&gt; a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2+4 a z^5-12 a z&lt;/ins&gt;^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13 a&lt;/ins&gt; z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3 z a&lt;/ins&gt;^{-1} -5 a z^{-1} - a^{-1} z^{-1} +z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4+&lt;/ins&gt;2 z^2+ z^{-2} -2&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L9n22/Kauffman_Polynomial&amp;diff=70547&amp;oldid=prev</id>
		<title>ScottDataRobot at 09:49, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L9n22/Kauffman_Polynomial&amp;diff=70547&amp;oldid=prev"/>
		<updated>2005-08-26T09:49:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^5 z^7+a^3 z^7+a^6 z^6+5 a^4 z^6+4 a^2 z^6-2 a^5 z^5+2 a^3 z^5+4 a z^5-5 a^6 z^4-20 a^4 z^4-14 a^2 z^4+z^4-5 a^5 z^3-17 a^3 z^3-12 a z^3+9 a^6 z^2+23 a^4 z^2+16 a^2 z^2+2 z^2+11 a^5 z+21 a^3 z+13 a z+3 z a^{-1} -7 a^6-14 a^4-10 a^2-2-5 a^5 z^{-1} -9 a^3 z^{-1} -5 a z^{-1} - a^{-1} z^{-1} +2 a^6 z^{-2} +5 a^4 z^{-2} +4 a^2 z^{-2} + z^{-2} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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