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	<title>Data:10 132/A-polynomial - Revision history</title>
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	<updated>2026-08-11T04:59:07Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:10_132/A-polynomial&amp;diff=1713539&amp;oldid=prev</id>
		<title>ScottDataRobot at 02:29, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:10_132/A-polynomial&amp;diff=1713539&amp;oldid=prev"/>
		<updated>2013-02-20T02:29:00Z</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 22:29, 19 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;
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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;-M^{20}+&lt;/del&gt;L^8 M^6+L \left(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3 &lt;/del&gt;M^{20}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;M^{18}+4 M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/del&gt;}-4 M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;M^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;M^6\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt; \left(M^{20}-M^{18}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^{12}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^{10}-M^8+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; M^6\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; \left(-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^{22}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^{20}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/del&gt; M^{18}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; M^{16}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/del&gt; M^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/del&gt; M^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/del&gt; M^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; M^8-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; M^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; M^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+M^2&lt;/del&gt;\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; \left(-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/del&gt;}+13 M^{18}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; M^{16}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt; M^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; M^{12}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; M^{10}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; M^8-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; M^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;M^4\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt; \left(-M^{22}+4 M^{20}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;5 M^{18}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/del&gt; M^{16}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/del&gt; M^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; M^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/del&gt; M^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/del&gt; M^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; M^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; M^4\right)+L^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; \left(-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M^{24}+3&lt;/del&gt; M^{22}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; M^{20}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/del&gt; M^{18}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; M^{16}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/del&gt; M^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+10&lt;/del&gt; M^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/del&gt; M^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;5 M^8-4 M^6+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 &lt;/del&gt;M^4\right)+L&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^4&lt;/del&gt; \left(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M^{26}&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt; M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7 &lt;/del&gt;M^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/del&gt;}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13 M^{20}-6 M^{18}-18&lt;/del&gt; M^{16}-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/del&gt; M^{14}+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15 M^{12}+18 M^{10}+6 &lt;/del&gt;M^8-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13 &lt;/del&gt;M^6-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7 &lt;/del&gt;M^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4+7 M^2-1\right)&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;L^8 M^6+L&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^7&lt;/ins&gt; \left(M^{20}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;M^{18}+4 M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/ins&gt;}-4 M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;M^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3 &lt;/ins&gt;M^6\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; \left(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-M^{22}+4 &lt;/ins&gt;M^{20}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 &lt;/ins&gt;M^{18&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}-5 M^{16&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12 M^{14}+7&lt;/ins&gt; M^{12}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9&lt;/ins&gt; M^{10}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13 &lt;/ins&gt;M^8+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; M^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2 M^4&lt;/ins&gt;\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt; \left(-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M^{24}+3&lt;/ins&gt; M^{22}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; M^{20}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; M^{18}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/ins&gt; M^{16}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/ins&gt; M^{14}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+10&lt;/ins&gt; M^{12}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; M^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; M^8-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; M^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/ins&gt; M^4\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; \left(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;M^{26}&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;24&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;22&lt;/ins&gt;}+13&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; M^{20}-6&lt;/ins&gt; M^{18}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-18&lt;/ins&gt; M^{16}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/ins&gt; M^{14}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+15&lt;/ins&gt; M^{12}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/ins&gt; M^{10}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt; M^8-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13&lt;/ins&gt; M^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7 &lt;/ins&gt;M^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7 M^2-1&lt;/ins&gt;\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; \left(-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 &lt;/ins&gt;M^{22}+4 M^{20}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;5 M^{18}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/ins&gt; M^{16}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/ins&gt; M^{14}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/ins&gt; M^{12}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/ins&gt; M^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/ins&gt; M^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; M^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; M^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+M^2&lt;/ins&gt;\right)+L^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; \left(-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; M^{22}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; M^{20}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/ins&gt; M^{18}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/ins&gt; M^{16}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; M^{14}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/ins&gt; M^{12}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/ins&gt; M^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;5 M^8-4 M^6+M^4\right)+L \left(-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20&lt;/ins&gt;}+M^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18&lt;/ins&gt;}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; M^{16}-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; M^{14}+M^8-M^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\right)&lt;/ins&gt;-M^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{20}&lt;/ins&gt;&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:10_132/A-polynomial&amp;diff=146926&amp;oldid=prev</id>
		<title>ScottDataRobot at 23:32, 25 May 2006</title>
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		<updated>2006-05-25T23:32:11Z</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;-M^{20}+L^8 M^6+L \left(-3 M^{20}+M^{18}+4 M^{16}-4 M^{14}+M^8-M^6\right)+L^7 \left(M^{20}-M^{18}+4 M^{12}-4 M^{10}-M^8+3 M^6\right)+L^3 \left(-4 M^{22}+4 M^{20}+5 M^{18}+9 M^{16}-10 M^{14}-13 M^{12}+12 M^{10}+7 M^8-2 M^6-3 M^4+M^2\right)+L^2 \left(-2 M^{22}-6 M^{20}+13 M^{18}+9 M^{16}-7 M^{14}-12 M^{12}+5 M^{10}+5 M^8-4 M^6+M^4\right)+L^6 \left(-M^{22}+4 M^{20}-5 M^{18}-5 M^{16}+12 M^{14}+7 M^{12}-9 M^{10}-13 M^8+6 M^6+2 M^4\right)+L^5 \left(-M^{24}+3 M^{22}+2 M^{20}-7 M^{18}-12 M^{16}+13 M^{14}+10 M^{12}-9 M^{10}-5 M^8-4 M^6+4 M^4\right)+L^4 \left(M^{26}-7 M^{24}+7 M^{22}+13 M^{20}-6 M^{18}-18 M^{16}-15 M^{14}+15 M^{12}+18 M^{10}+6 M^8-13 M^6-7 M^4+7 M^2-1\right)&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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