<?xml version="1.0"?>
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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=10_73</id>
	<title>10 73 - Revision history</title>
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	<updated>2026-08-06T00:53:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.6</generator>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=61199&amp;oldid=prev</id>
		<title>Drorbn: Reverted edit of 165.228.128.11, changed back to last version by ScottTestRobot</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=61199&amp;oldid=prev"/>
		<updated>2007-03-10T02:06:59Z</updated>

		<summary type="html">&lt;p&gt;Reverted edit of 165.228.128.11, changed back to last version by ScottTestRobot&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=61199&amp;amp;oldid=57887&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Drorbn</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=57887&amp;oldid=prev</id>
		<title>165.228.128.11 at 00:30, 10 March 2007</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=57887&amp;oldid=prev"/>
		<updated>2007-03-10T00:30:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=57887&amp;amp;oldid=57884&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>165.228.128.11</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=57884&amp;oldid=prev</id>
		<title>ScottTestRobot at 21:59, 1 September 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=57884&amp;oldid=prev"/>
		<updated>2005-09-01T21:59:14Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=57884&amp;amp;oldid=42807&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=42807&amp;oldid=prev</id>
		<title>DrorsRobot at 22:43, 31 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=42807&amp;oldid=prev"/>
		<updated>2005-08-31T22:43:29Z</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;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 18:43, 31 August 2005&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;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;!--                       WARNING! WARNING! WARNING!&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- This page was&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt; generated from the splice template &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;Rolfsen_Splice_Template&quot;&lt;/del&gt;. Please do not edit!&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; --&amp;gt;&lt;/del&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;!-- This page was generated from the splice template &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Rolfsen_Splice_Base]]&lt;/ins&gt;. Please do not edit!&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!--  --&amp;gt; &amp;lt;!--&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;!-- You probably want to edit the template referred to immediately below. (See [[Category:Knot Page Template]].)&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; --&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;!-- This page itself was created by running [[Media:KnotPageSpliceRobot.nb]] on [[Rolfsen_Splice_Base]]. --&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;!-- &amp;lt;math&amp;gt;\text{Null}&amp;lt;/math&amp;gt; --&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;!-- &amp;lt;math&amp;gt;\text{Null}&amp;lt;/math&amp;gt; --&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Rolfsen Knot Page|&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Rolfsen Knot Page|&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;n = 10 |&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;n = 10 |&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 44:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 47:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;coloured_jones_5 = &amp;lt;math&amp;gt;-q^{40}+4 q^{39}-2 q^{38}-8 q^{37}+5 q^{36}+4 q^{35}+5 q^{34}+11 q^{33}-12 q^{32}-46 q^{31}-9 q^{30}+46 q^{29}+70 q^{28}+58 q^{27}-59 q^{26}-196 q^{25}-173 q^{24}+97 q^{23}+390 q^{22}+391 q^{21}-15 q^{20}-651 q^{19}-914 q^{18}-259 q^{17}+1010 q^{16}+1696 q^{15}+912 q^{14}-1114 q^{13}-2891 q^{12}-2289 q^{11}+925 q^{10}+4257 q^9+4402 q^8+221 q^7-5555 q^6-7475 q^5-2442 q^4+6246 q^3+11080 q^2+6278 q-5903-14951 q^{-1} -11356 q^{-2} +3868 q^{-3} +18322 q^{-4} +17773 q^{-5} -194 q^{-6} -20792 q^{-7} -24457 q^{-8} -5299 q^{-9} +21650 q^{-10} +31323 q^{-11} +11920 q^{-12} -21046 q^{-13} -37171 q^{-14} -19299 q^{-15} +18749 q^{-16} +42086 q^{-17} +26651 q^{-18} -15444 q^{-19} -45385 q^{-20} -33551 q^{-21} +11246 q^{-22} +47465 q^{-23} +39498 q^{-24} -6773 q^{-25} -48110 q^{-26} -44442 q^{-27} +2144 q^{-28} +47752 q^{-29} +48204 q^{-30} +2362 q^{-31} -46231 q^{-32} -50921 q^{-33} -6851 q^{-34} +43817 q^{-35} +52489 q^{-36} +11196 q^{-37} -40256 q^{-38} -52905 q^{-39} -15480 q^{-40} +35634 q^{-41} +52032 q^{-42} +19450 q^{-43} -29929 q^{-44} -49654 q^{-45} -22892 q^{-46} +23333 q^{-47} +45717 q^{-48} +25424 q^{-49} -16288 q^{-50} -40284 q^{-51} -26595 q^{-52} +9323 q^{-53} +33617 q^{-54} +26204 q^{-55} -3051 q^{-56} -26358 q^{-57} -24226 q^{-58} -1794 q^{-59} +19035 q^{-60} +20888 q^{-61} +5075 q^{-62} -12471 q^{-63} -16808 q^{-64} -6549 q^{-65} +7145 q^{-66} +12442 q^{-67} +6661 q^{-68} -3302 q^{-69} -8502 q^{-70} -5779 q^{-71} +923 q^{-72} +5298 q^{-73} +4429 q^{-74} +299 q^{-75} -2979 q^{-76} -3059 q^{-77} -735 q^{-78} +1510 q^{-79} +1909 q^{-80} +717 q^{-81} -662 q^{-82} -1086 q^{-83} -531 q^{-84} +240 q^{-85} +559 q^{-86} +343 q^{-87} -68 q^{-88} -279 q^{-89} -170 q^{-90} +13 q^{-91} +100 q^{-92} +98 q^{-93} +9 q^{-94} -64 q^{-95} -30 q^{-96} +10 q^{-97} +4 q^{-98} +16 q^{-99} +9 q^{-100} -19 q^{-101} -3 q^{-102} +9 q^{-103} -2 q^{-104} +3 q^{-106} -4 q^{-107} - q^{-108} +3 q^{-109} - q^{-110} &amp;lt;/math&amp;gt; |&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;coloured_jones_5 = &amp;lt;math&amp;gt;-q^{40}+4 q^{39}-2 q^{38}-8 q^{37}+5 q^{36}+4 q^{35}+5 q^{34}+11 q^{33}-12 q^{32}-46 q^{31}-9 q^{30}+46 q^{29}+70 q^{28}+58 q^{27}-59 q^{26}-196 q^{25}-173 q^{24}+97 q^{23}+390 q^{22}+391 q^{21}-15 q^{20}-651 q^{19}-914 q^{18}-259 q^{17}+1010 q^{16}+1696 q^{15}+912 q^{14}-1114 q^{13}-2891 q^{12}-2289 q^{11}+925 q^{10}+4257 q^9+4402 q^8+221 q^7-5555 q^6-7475 q^5-2442 q^4+6246 q^3+11080 q^2+6278 q-5903-14951 q^{-1} -11356 q^{-2} +3868 q^{-3} +18322 q^{-4} +17773 q^{-5} -194 q^{-6} -20792 q^{-7} -24457 q^{-8} -5299 q^{-9} +21650 q^{-10} +31323 q^{-11} +11920 q^{-12} -21046 q^{-13} -37171 q^{-14} -19299 q^{-15} +18749 q^{-16} +42086 q^{-17} +26651 q^{-18} -15444 q^{-19} -45385 q^{-20} -33551 q^{-21} +11246 q^{-22} +47465 q^{-23} +39498 q^{-24} -6773 q^{-25} -48110 q^{-26} -44442 q^{-27} +2144 q^{-28} +47752 q^{-29} +48204 q^{-30} +2362 q^{-31} -46231 q^{-32} -50921 q^{-33} -6851 q^{-34} +43817 q^{-35} +52489 q^{-36} +11196 q^{-37} -40256 q^{-38} -52905 q^{-39} -15480 q^{-40} +35634 q^{-41} +52032 q^{-42} +19450 q^{-43} -29929 q^{-44} -49654 q^{-45} -22892 q^{-46} +23333 q^{-47} +45717 q^{-48} +25424 q^{-49} -16288 q^{-50} -40284 q^{-51} -26595 q^{-52} +9323 q^{-53} +33617 q^{-54} +26204 q^{-55} -3051 q^{-56} -26358 q^{-57} -24226 q^{-58} -1794 q^{-59} +19035 q^{-60} +20888 q^{-61} +5075 q^{-62} -12471 q^{-63} -16808 q^{-64} -6549 q^{-65} +7145 q^{-66} +12442 q^{-67} +6661 q^{-68} -3302 q^{-69} -8502 q^{-70} -5779 q^{-71} +923 q^{-72} +5298 q^{-73} +4429 q^{-74} +299 q^{-75} -2979 q^{-76} -3059 q^{-77} -735 q^{-78} +1510 q^{-79} +1909 q^{-80} +717 q^{-81} -662 q^{-82} -1086 q^{-83} -531 q^{-84} +240 q^{-85} +559 q^{-86} +343 q^{-87} -68 q^{-88} -279 q^{-89} -170 q^{-90} +13 q^{-91} +100 q^{-92} +98 q^{-93} +9 q^{-94} -64 q^{-95} -30 q^{-96} +10 q^{-97} +4 q^{-98} +16 q^{-99} +9 q^{-100} -19 q^{-101} -3 q^{-102} +9 q^{-103} -2 q^{-104} +3 q^{-106} -4 q^{-107} - q^{-108} +3 q^{-109} - q^{-110} &amp;lt;/math&amp;gt; |&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;coloured_jones_6 = &amp;lt;math&amp;gt;q^{57}-4 q^{56}+2 q^{55}+8 q^{54}-5 q^{53}-4 q^{52}-10 q^{51}+13 q^{50}-10 q^{49}+3 q^{48}+60 q^{47}-21 q^{46}-40 q^{45}-80 q^{44}+22 q^{43}-5 q^{42}+61 q^{41}+286 q^{40}+12 q^{39}-178 q^{38}-448 q^{37}-157 q^{36}-135 q^{35}+324 q^{34}+1215 q^{33}+621 q^{32}-195 q^{31}-1615 q^{30}-1455 q^{29}-1478 q^{28}+365 q^{27}+3740 q^{26}+3768 q^{25}+1917 q^{24}-2962 q^{23}-5348 q^{22}-7543 q^{21}-3334 q^{20}+6610 q^{19}+12056 q^{18}+11873 q^{17}+1241 q^{16}-9581 q^{15}-22247 q^{14}-19489 q^{13}+803 q^{12}+21987 q^{11}+34991 q^{10}+23437 q^9-1149 q^8-40193 q^7-54756 q^6-30334 q^5+16101 q^4+63341 q^3+71447 q^2+40497 q-39205-98262 q^{-1} -95029 q^{-2} -29381 q^{-3} +70285 q^{-4} +131292 q^{-5} +122734 q^{-6} +6659 q^{-7} -119636 q^{-8} -175737 q^{-9} -120110 q^{-10} +29122 q^{-11} +169919 q^{-12} +224103 q^{-13} +100467 q^{-14} -92576 q^{-15} -237228 q^{-16} -231371 q^{-17} -60200 q^{-18} +162216 q^{-19} +307836 q^{-20} +215010 q^{-21} -19462 q^{-22} -255369 q^{-23} -326396 q^{-24} -169328 q^{-25} +111873 q^{-26} +350715 q^{-27} +314825 q^{-28} +72448 q^{-29} -233442 q^{-30} -383771 q^{-31} -265787 q^{-32} +42953 q^{-33} +354768 q^{-34} +381039 q^{-35} +155815 q^{-36} -190614 q^{-37} -404833 q^{-38} -334412 q^{-39} -23710 q^{-40} +334111 q^{-41} +414974 q^{-42} +220484 q^{-43} -140794 q^{-44} -399768 q^{-45} -377429 q^{-46} -83357 q^{-47} +296595 q^{-48} +423848 q^{-49} +270326 q^{-50} -83847 q^{-51} -371723 q^{-52} -399730 q^{-53} -141303 q^{-54} +238295 q^{-55} +406706 q^{-56} +308004 q^{-57} -13867 q^{-58} -313815 q^{-59} -396214 q^{-60} -197255 q^{-61} +153731 q^{-62} +353656 q^{-63} +323626 q^{-64} +64742 q^{-65} -221298 q^{-66} -353478 q^{-67} -235511 q^{-68} +52358 q^{-69} +260334 q^{-70} +299383 q^{-71} +129465 q^{-72} -108265 q^{-73} -266947 q^{-74} -233351 q^{-75} -36508 q^{-76} +144548 q^{-77} +229746 q^{-78} +152717 q^{-79} -8930 q^{-80} -157047 q^{-81} -184327 q^{-82} -81848 q^{-83} +43312 q^{-84} +136431 q^{-85} +127673 q^{-86} +45298 q^{-87} -61599 q^{-88} -110955 q^{-89} -77876 q^{-90} -13719 q^{-91} +56081 q^{-92} +77222 q^{-93} +51529 q^{-94} -7043 q^{-95} -47644 q^{-96} -47814 q^{-97} -26772 q^{-98} +10952 q^{-99} +32755 q^{-100} +33170 q^{-101} +9375 q^{-102} -12557 q^{-103} -19668 q^{-104} -18099 q^{-105} -3439 q^{-106} +8773 q^{-107} +14550 q^{-108} +7515 q^{-109} -718 q^{-110} -4963 q^{-111} -7712 q^{-112} -3764 q^{-113} +824 q^{-114} +4639 q^{-115} +3006 q^{-116} +889 q^{-117} -360 q^{-118} -2299 q^{-119} -1624 q^{-120} -432 q^{-121} +1179 q^{-122} +725 q^{-123} +367 q^{-124} +299 q^{-125} -504 q^{-126} -453 q^{-127} -249 q^{-128} +291 q^{-129} +88 q^{-130} +43 q^{-131} +162 q^{-132} -85 q^{-133} -89 q^{-134} -77 q^{-135} +87 q^{-136} -6 q^{-137} -20 q^{-138} +48 q^{-139} -14 q^{-140} -10 q^{-141} -19 q^{-142} +26 q^{-143} -2 q^{-144} -13 q^{-145} +10 q^{-146} -3 q^{-147} -3 q^{-149} +4 q^{-150} + q^{-151} -3 q^{-152} + q^{-153} &amp;lt;/math&amp;gt; |&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;coloured_jones_6 = &amp;lt;math&amp;gt;q^{57}-4 q^{56}+2 q^{55}+8 q^{54}-5 q^{53}-4 q^{52}-10 q^{51}+13 q^{50}-10 q^{49}+3 q^{48}+60 q^{47}-21 q^{46}-40 q^{45}-80 q^{44}+22 q^{43}-5 q^{42}+61 q^{41}+286 q^{40}+12 q^{39}-178 q^{38}-448 q^{37}-157 q^{36}-135 q^{35}+324 q^{34}+1215 q^{33}+621 q^{32}-195 q^{31}-1615 q^{30}-1455 q^{29}-1478 q^{28}+365 q^{27}+3740 q^{26}+3768 q^{25}+1917 q^{24}-2962 q^{23}-5348 q^{22}-7543 q^{21}-3334 q^{20}+6610 q^{19}+12056 q^{18}+11873 q^{17}+1241 q^{16}-9581 q^{15}-22247 q^{14}-19489 q^{13}+803 q^{12}+21987 q^{11}+34991 q^{10}+23437 q^9-1149 q^8-40193 q^7-54756 q^6-30334 q^5+16101 q^4+63341 q^3+71447 q^2+40497 q-39205-98262 q^{-1} -95029 q^{-2} -29381 q^{-3} +70285 q^{-4} +131292 q^{-5} +122734 q^{-6} +6659 q^{-7} -119636 q^{-8} -175737 q^{-9} -120110 q^{-10} +29122 q^{-11} +169919 q^{-12} +224103 q^{-13} +100467 q^{-14} -92576 q^{-15} -237228 q^{-16} -231371 q^{-17} -60200 q^{-18} +162216 q^{-19} +307836 q^{-20} +215010 q^{-21} -19462 q^{-22} -255369 q^{-23} -326396 q^{-24} -169328 q^{-25} +111873 q^{-26} +350715 q^{-27} +314825 q^{-28} +72448 q^{-29} -233442 q^{-30} -383771 q^{-31} -265787 q^{-32} +42953 q^{-33} +354768 q^{-34} +381039 q^{-35} +155815 q^{-36} -190614 q^{-37} -404833 q^{-38} -334412 q^{-39} -23710 q^{-40} +334111 q^{-41} +414974 q^{-42} +220484 q^{-43} -140794 q^{-44} -399768 q^{-45} -377429 q^{-46} -83357 q^{-47} +296595 q^{-48} +423848 q^{-49} +270326 q^{-50} -83847 q^{-51} -371723 q^{-52} -399730 q^{-53} -141303 q^{-54} +238295 q^{-55} +406706 q^{-56} +308004 q^{-57} -13867 q^{-58} -313815 q^{-59} -396214 q^{-60} -197255 q^{-61} +153731 q^{-62} +353656 q^{-63} +323626 q^{-64} +64742 q^{-65} -221298 q^{-66} -353478 q^{-67} -235511 q^{-68} +52358 q^{-69} +260334 q^{-70} +299383 q^{-71} +129465 q^{-72} -108265 q^{-73} -266947 q^{-74} -233351 q^{-75} -36508 q^{-76} +144548 q^{-77} +229746 q^{-78} +152717 q^{-79} -8930 q^{-80} -157047 q^{-81} -184327 q^{-82} -81848 q^{-83} +43312 q^{-84} +136431 q^{-85} +127673 q^{-86} +45298 q^{-87} -61599 q^{-88} -110955 q^{-89} -77876 q^{-90} -13719 q^{-91} +56081 q^{-92} +77222 q^{-93} +51529 q^{-94} -7043 q^{-95} -47644 q^{-96} -47814 q^{-97} -26772 q^{-98} +10952 q^{-99} +32755 q^{-100} +33170 q^{-101} +9375 q^{-102} -12557 q^{-103} -19668 q^{-104} -18099 q^{-105} -3439 q^{-106} +8773 q^{-107} +14550 q^{-108} +7515 q^{-109} -718 q^{-110} -4963 q^{-111} -7712 q^{-112} -3764 q^{-113} +824 q^{-114} +4639 q^{-115} +3006 q^{-116} +889 q^{-117} -360 q^{-118} -2299 q^{-119} -1624 q^{-120} -432 q^{-121} +1179 q^{-122} +725 q^{-123} +367 q^{-124} +299 q^{-125} -504 q^{-126} -453 q^{-127} -249 q^{-128} +291 q^{-129} +88 q^{-130} +43 q^{-131} +162 q^{-132} -85 q^{-133} -89 q^{-134} -77 q^{-135} +87 q^{-136} -6 q^{-137} -20 q^{-138} +48 q^{-139} -14 q^{-140} -10 q^{-141} -19 q^{-142} +26 q^{-143} -2 q^{-144} -13 q^{-145} +10 q^{-146} -3 q^{-147} -3 q^{-149} +4 q^{-150} + q^{-151} -3 q^{-152} + q^{-153} &amp;lt;/math&amp;gt; |&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;coloured_jones_7 =  |&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;coloured_jones_7 = &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\textrm{NotAvailable}(q)&amp;lt;/math&amp;gt;&lt;/ins&gt; |&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;computer_talk = &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;computer_talk = &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;table&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;table&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 51:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;td align=left&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;amp;lt;&amp;amp;lt; KnotTheory`&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;td align=left&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;amp;lt;&amp;amp;lt; KnotTheory`&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td colspan=2&amp;gt;Loading KnotTheory` (version of August 29, 2005, 15:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;33&lt;/del&gt;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11&lt;/del&gt;)...&amp;lt;/td&amp;gt;&amp;lt;/tr&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;tr valign=top&amp;gt;&amp;lt;td colspan=2&amp;gt;Loading KnotTheory` (version of August 29, 2005, 15:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;27&lt;/ins&gt;:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;48&lt;/ins&gt;)...&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[2]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[Knot[10, 73]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[2]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[Knot[10, 73]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[2]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[X[4, 2, 5, 1], X[10, 6, 11, 5], X[8, 3, 9, 4], X[2, 9, 3, 10], &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[2]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;PD[X[4, 2, 5, 1], X[10, 6, 11, 5], X[8, 3, 9, 4], X[2, 9, 3, 10], &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 71:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 74:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[7]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;5&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[7]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;5&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr  valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: blue; border: 0px; padding:  0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[8]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red;  border: 0px; padding:  0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Show[DrawMorseLink[Knot[10, 73]]]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td  align=left&amp;gt;[[Image:10_73_ML.gif]]&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;tt&amp;gt;&amp;lt;font  color=blue&amp;gt;Out[8]=&amp;lt;/font&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;td&amp;gt;&amp;lt;tt&amp;gt;&amp;lt;font  color=black&amp;gt;-Graphics-&amp;lt;/font&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;                   SymmetryType, UnknottingNumber, ThreeGenus,&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[9]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;{Reversible, 1, 3, 3, NotAvailable, 1}&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre   style=&quot;color: blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;Out[9]=&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: black; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;{Reversible, 1, 3, 3, NotAvailable, 1}&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[10]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;alex = Alexander[Knot[10, 73]][t]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;         &amp;lt;tr valign=top&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color:    blue; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;In[10]:=&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;lt;pre style=&quot;color: red; border: 0px; padding: 0em&quot;&amp;gt;&amp;lt;nowiki&amp;gt;alex = Alexander[Knot[10, 73]][t]&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-41900:rev-42807:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=41900&amp;oldid=prev</id>
		<title>ScottKnotPageRobot at 14:35, 30 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=41900&amp;oldid=prev"/>
		<updated>2005-08-30T14:35:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=41900&amp;amp;oldid=36736&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottKnotPageRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=36736&amp;oldid=prev</id>
		<title>DrorsRobot at 01:02, 30 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=36736&amp;oldid=prev"/>
		<updated>2005-08-30T01:02:17Z</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 21:02, 29 August 2005&lt;/td&gt;
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&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
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  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; [[Category:Knot Page]]&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; [[Category:Knot Page]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;

&lt;!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-36380:rev-36736:1.13.0 --&gt;
&lt;/table&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=36380&amp;oldid=prev</id>
		<title>DrorsRobot at 22:03, 29 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=36380&amp;oldid=prev"/>
		<updated>2005-08-29T22:03:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=36380&amp;amp;oldid=36110&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=36110&amp;oldid=prev</id>
		<title>ScottTestRobot at 00:07, 29 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=36110&amp;oldid=prev"/>
		<updated>2005-08-29T00:07:55Z</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 20:07, 28 August 2005&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: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- --&amp;gt;&lt;/div&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- this relies on transclusion for next and previous links --&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- this relies on transclusion for next and previous links --&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Knot Navigation Links|ext=gif}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Knot Navigation Links|ext=gif}}&lt;/div&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-right&quot; title=&quot;Paragraph was moved. Click to jump to old location.&quot; href=&quot;#movedpara_10_2_lhs&quot;&gt;&amp;#x26AB;&lt;/a&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;&lt;a name=&quot;movedpara_8_0_rhs&quot;&gt;&lt;/a&gt;{{Rolfsen Knot &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Page&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Header&lt;/ins&gt;|n=10|k=73|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-1,2,-7,6,-3,4,-2,9,-10,5,-6,7,-5,8,-9,10,-8/goTop.html}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
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  &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;|- valign=top&lt;/div&gt;&lt;/td&gt;
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  &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;|[[Image:{{PAGENAME}}.gif]]&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-left&quot; title=&quot;Paragraph was moved. Click to jump to new location.&quot; href=&quot;#movedpara_8_0_rhs&quot;&gt;&amp;#x26AB;&lt;/a&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;&lt;a name=&quot;movedpara_10_2_lhs&quot;&gt;&lt;/a&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|&lt;/del&gt;{{Rolfsen Knot &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Site&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Links&lt;/del&gt;|n=10|k=73|KnotilusURL=http://srankin.math.uwo.ca/cgi-bin/retrieve.cgi/1,-4,3,-1,2,-7,6,-3,4,-2,9,-10,5,-6,7,-5,8,-9,10,-8/goTop.html}}&lt;/div&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|{{:{{PAGENAME}} Quick Notes}}&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
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  &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;|}&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br style=&quot;clear:both&quot; /&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;br style=&quot;clear:both&quot; /&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 21:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Vassiliev Invariants}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Vassiliev Invariants}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===[[&lt;/del&gt;Khovanov Homology&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]=&lt;/del&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{&lt;/ins&gt;Khovanov Homology&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|table&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;table border&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The coefficients of the monomials &amp;lt;math&amp;gt;t^rq^j&amp;lt;/math&amp;gt; are shown, along with their alternating sums &amp;lt;math&amp;gt;\chi&amp;lt;/math&amp;gt; (fixed &amp;lt;math&amp;gt;j&amp;lt;/math&amp;gt;, alternation over &amp;lt;math&amp;gt;r&amp;lt;/math&amp;gt;). The squares with &amp;lt;font class=HLYellow&amp;gt;yellow&amp;lt;/font&amp;gt; highlighting are those on the &quot;critical diagonals&quot;, where &amp;lt;math&amp;gt;j-2r=s+1&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;j-2r=s+1&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;s=&amp;lt;/math&amp;gt;{{Data:{{PAGENAME}}/Signature}} is the signature of {{PAGENAME}}. Nonzero entries off the critical diagonals (if any exist) are highlighted in &amp;lt;font class=HLRed&amp;gt;red&amp;lt;/font&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt;&amp;lt;table border=1&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;td width=13.3333%&amp;gt;&amp;lt;table cellpadding=0 cellspacing=0&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;td width=13.3333%&amp;gt;&amp;lt;table cellpadding=0 cellspacing=0&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 41:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-15&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;2&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;2&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-15&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;2&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;2&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-17&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;1&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;-1&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr align=center&amp;gt;&amp;lt;td&amp;gt;-17&amp;lt;/td&amp;gt;&amp;lt;td bgcolor=yellow&amp;gt;1&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&amp;lt;td&amp;gt;-1&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/table&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/center&amp;gt;&lt;/del&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;/table&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Computer Talk Header}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Computer Talk Header}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 138:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 130:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  3 q  t  + q  t&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  3 q  t  + q  t&amp;lt;/nowiki&amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/td&amp;gt;&amp;lt;/tr&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/table&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/table&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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;br /&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&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; [[Category:Knot Page]]&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=25842&amp;oldid=prev</id>
		<title>ScottTestRobot at 01:45, 28 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=25842&amp;oldid=prev"/>
		<updated>2005-08-28T01:45:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://katlas.org/index.php?title=10_73&amp;amp;diff=25842&amp;amp;oldid=4335&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>ScottTestRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=10_73&amp;diff=4335&amp;oldid=prev</id>
		<title>ScottKnotPageRobot: Resetting knot page to basic template.</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=10_73&amp;diff=4335&amp;oldid=prev"/>
		<updated>2005-08-23T22:50:23Z</updated>

		<summary type="html">&lt;p&gt;Resetting knot page to basic template.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Template:Basic Knot Invariants|name=10_73}}&lt;/div&gt;</summary>
		<author><name>ScottKnotPageRobot</name></author>
	</entry>
</feed>