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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL10n103%2FKauffman_Polynomial</id>
	<title>Data:L10n103/Kauffman Polynomial - Revision history</title>
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	<updated>2026-06-16T05:03:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L10n103/Kauffman_Polynomial&amp;diff=1715986&amp;oldid=prev</id>
		<title>ScottDataRobot at 20:51, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L10n103/Kauffman_Polynomial&amp;diff=1715986&amp;oldid=prev"/>
		<updated>2013-02-20T20:51:59Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&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 16:51, 20 February 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; z a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 a^9 z^{-1} +a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^{-3} -&lt;/del&gt;z^4 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8-&lt;/del&gt;3 a^8 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^7 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z^5 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; z^3 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; z a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;6 a^7 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt; z^&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;3} -z^8&lt;/del&gt; a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^4 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^6-&lt;/del&gt;6 a^6 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;11 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;4 z^7 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/del&gt; z^5 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-16&lt;/del&gt; z^3 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&lt;/del&gt; z a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;6 a^5 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;a^&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;z^{-3} -&lt;/del&gt;z^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^6 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^4 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^4-&lt;/del&gt;3 a^4 z^{-2} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;6 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 z^7 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^5 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/del&gt;3 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 a^3 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^&lt;/del&gt;3 &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} -3&lt;/del&gt; z^6 a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^2-&lt;/del&gt;z^5 a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z^3 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a-&lt;/del&gt;z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^9 &lt;/ins&gt;z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^9 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -3&lt;/ins&gt; a^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;3 a^9 z^{-1} +a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/ins&gt; z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^8 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;3 a^8 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;6 a^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a^7 &lt;/ins&gt;z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^7 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/ins&gt; a^7 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;3 a^7 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -9&lt;/ins&gt; a^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;6 a^7 z^{-1} +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;8&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; a^6 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/ins&gt; a^6 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;6 a^6 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;11 a^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/ins&gt; a^5 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+16&lt;/ins&gt; a^5 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;3 a^5 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -11&lt;/ins&gt; a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;6 a^5 z^{-1} +a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; a^4 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/ins&gt; a^4 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;3 a^4 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;6 a^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3 a^&lt;/ins&gt;3 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7-&lt;/ins&gt;7 a^3 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^3 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^3 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{-3} -4&lt;/ins&gt; a^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z+&lt;/ins&gt;3 a^3 z^{-1} +3 &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;2&lt;/ins&gt; z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; a^2 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a&lt;/ins&gt; z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; a z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a&lt;/ins&gt; z&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L10n103/Kauffman_Polynomial&amp;diff=73375&amp;oldid=prev</id>
		<title>ScottDataRobot at 12:39, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L10n103/Kauffman_Polynomial&amp;diff=73375&amp;oldid=prev"/>
		<updated>2005-08-26T12:39:04Z</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;-z^3 a^9+3 z a^9-3 a^9 z^{-1} +a^9 z^{-3} -z^4 a^8-2 z^2 a^8-3 a^8 z^{-2} +6 a^8-z^7 a^7+4 z^5 a^7-12 z^3 a^7+9 z a^7-6 a^7 z^{-1} +3 a^7 z^{-3} -z^8 a^6+2 z^6 a^6-z^4 a^6-9 z^2 a^6-6 a^6 z^{-2} +11 a^6-4 z^7 a^5+12 z^5 a^5-16 z^3 a^5+11 z a^5-6 a^5 z^{-1} +3 a^5 z^{-3} -z^8 a^4-z^6 a^4+7 z^4 a^4-8 z^2 a^4-3 a^4 z^{-2} +6 a^4-3 z^7 a^3+7 z^5 a^3-3 z^3 a^3+4 z a^3-3 a^3 z^{-1} +a^3 z^{-3} -3 z^6 a^2+7 z^4 a^2-z^2 a^2-z^5 a+2 z^3 a-z a&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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