https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a174%2FKauffman_Polynomial 2026-10-04T21:04:10Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a174/Kauffman_Polynomial&diff=1714742&oldid=prev 2013-02-20T20:25:31Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:25, 20 February 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="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;"><div>&lt;math&gt;z^6 a^{14}<del style="font-weight: bold; text-decoration: none;">-5</del> z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^{14}<del style="font-weight: bold; text-decoration: none;">+10</del> z<del style="font-weight: bold; text-decoration: none;">^2 a</del>^{<del style="font-weight: bold; text-decoration: none;">14</del>}+<del style="font-weight: bold; text-decoration: none;">5</del> a^{14} z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">-</del>a^{14} z^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -10 a^{14}+z^7 a^{13}<del style="font-weight: bold; text-decoration: none;">-10</del> z^3 a^{13}<del style="font-weight: bold; text-decoration: none;">+20</del> z a^{13}-15 a^{13} z^{-1} +<del style="font-weight: bold; text-decoration: none;">4 </del>a^{<del style="font-weight: bold; text-decoration: none;">13</del>} z^<del style="font-weight: bold; text-decoration: none;">{-3} </del>+<del style="font-weight: bold; text-decoration: none;">z^8</del> a^{12}<del style="font-weight: bold; text-decoration: none;">+4</del> z^6 a^{12}<del style="font-weight: bold; text-decoration: none;">-20</del> z^4 a^{12}<del style="font-weight: bold; text-decoration: none;">+30</del> z<del style="font-weight: bold; text-decoration: none;">^2 a</del>^{<del style="font-weight: bold; text-decoration: none;">12</del>}+<del style="font-weight: bold; text-decoration: none;">14</del> a^{12} z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} -4</del> a^{12} z^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -25 a^{12}+z^9 a^{11}<del style="font-weight: bold; text-decoration: none;">+2</del> z^7 a^{11}<del style="font-weight: bold; text-decoration: none;">+2</del> z^5 a^{11}<del style="font-weight: bold; text-decoration: none;">-30</del> z^3 a^{11}<del style="font-weight: bold; text-decoration: none;">+55</del> z a^{11}-41 a^{11} z^{-1} +<del style="font-weight: bold; text-decoration: none;">12</del> a^{<del style="font-weight: bold; text-decoration: none;">11</del>} z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">3} +6 z^8</del> a^{10}<del style="font-weight: bold; text-decoration: none;">-2</del> z^6 a^{10}<del style="font-weight: bold; text-decoration: none;">-25</del> z^4 a^{10}<del style="font-weight: bold; text-decoration: none;">+40</del> z<del style="font-weight: bold; text-decoration: none;">^2 a</del>^{<del style="font-weight: bold; text-decoration: none;">10</del>}+<del style="font-weight: bold; text-decoration: none;">18</del> a^{10} z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} -6</del> a^{10} z^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -31 a^{10}+<del style="font-weight: bold; text-decoration: none;">z</del>^9 <del style="font-weight: bold; text-decoration: none;">a</del>^9+11 z^7 a^9<del style="font-weight: bold; text-decoration: none;">-12</del> z^5 a^9<del style="font-weight: bold; text-decoration: none;">-30</del> z^3 a^9<del style="font-weight: bold; text-decoration: none;">+55</del> z a^9-41 a^9 z^{-1} +<del style="font-weight: bold; text-decoration: none;">12</del> a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">{-3} </del>+5<del style="font-weight: bold; text-decoration: none;"> z^8</del> a^8<del style="font-weight: bold; text-decoration: none;">+5</del> z^6 a^8<del style="font-weight: bold; text-decoration: none;">-25</del> z^4 a^8<del style="font-weight: bold; text-decoration: none;">+30</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a^8</del>+<del style="font-weight: bold; text-decoration: none;">14</del> a^8 z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} -4</del> a^8 z^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -25 a^8+10 <del style="font-weight: bold; text-decoration: none;">z</del>^7 <del style="font-weight: bold; text-decoration: none;">a</del>^7-10 z^5 a^7<del style="font-weight: bold; text-decoration: none;">-10</del> z^3 a^7<del style="font-weight: bold; text-decoration: none;">+20</del> z<del style="font-weight: bold; text-decoration: none;"> a</del>^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">15</del> a^7 z<del style="font-weight: bold; text-decoration: none;">^{</del>-<del style="font-weight: bold; text-decoration: none;">1} +4</del> a^7 z^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +10 <del style="font-weight: bold; text-decoration: none;">z</del>^6 <del style="font-weight: bold; text-decoration: none;">a</del>^6-14 z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^6<del style="font-weight: bold; text-decoration: none;">+10</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a^6</del>+<del style="font-weight: bold; text-decoration: none;">5</del> a^6 z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">-</del>a^6 z^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -10 a^6+4 <del style="font-weight: bold; text-decoration: none;">z</del>^5 <del style="font-weight: bold; text-decoration: none;">a</del>^5+<del style="font-weight: bold; text-decoration: none;">z</del>^4 <del style="font-weight: bold; text-decoration: none;">a</del>^4&lt;/math&gt;</div></td> <td class="diff-marker" data-marker="+"></td> <td style="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;"><div>&lt;math&gt;<ins style="font-weight: bold; text-decoration: none;">a^{14} </ins>z^6<ins style="font-weight: bold; text-decoration: none;">-5</ins> a^{14} z^4<ins style="font-weight: bold; text-decoration: none;">-</ins>a^{14} z^{<ins style="font-weight: bold; text-decoration: none;">-4</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>+<ins style="font-weight: bold; text-decoration: none;">10</ins> a^{14} z^2<ins style="font-weight: bold; text-decoration: none;">+5</ins> a^{14} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -10 a^{14}+<ins style="font-weight: bold; text-decoration: none;">a^{13} </ins>z^7<ins style="font-weight: bold; text-decoration: none;">-10</ins> a^{13} z^3<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^{13} z<ins style="font-weight: bold; text-decoration: none;">^{-3} +20</ins> a^{13}<ins style="font-weight: bold; text-decoration: none;"> z</ins>-15 a^{13} z^{-1} +a^{<ins style="font-weight: bold; text-decoration: none;">12</ins>} z^<ins style="font-weight: bold; text-decoration: none;">8</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{12} z^6<ins style="font-weight: bold; text-decoration: none;">-20</ins> a^{12} z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>4 a^{12} z^{<ins style="font-weight: bold; text-decoration: none;">-4</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>+<ins style="font-weight: bold; text-decoration: none;">30</ins> a^{12} z^2<ins style="font-weight: bold; text-decoration: none;">+14</ins> a^{12} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -25 a^{12}+<ins style="font-weight: bold; text-decoration: none;">a^{11} </ins>z^9<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{11} z^7<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{11} z^5<ins style="font-weight: bold; text-decoration: none;">-30</ins> a^{11} z^3<ins style="font-weight: bold; text-decoration: none;">+12</ins> a^{11} z<ins style="font-weight: bold; text-decoration: none;">^{-3} +55</ins> a^{11}<ins style="font-weight: bold; text-decoration: none;"> z</ins>-41 a^{11} z^{-1} +<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{<ins style="font-weight: bold; text-decoration: none;">10</ins>} z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{10} z^6<ins style="font-weight: bold; text-decoration: none;">-25</ins> a^{10} z^4<ins style="font-weight: bold; text-decoration: none;">-6</ins> a^{10} z^{<ins style="font-weight: bold; text-decoration: none;">-4</ins>}<ins style="font-weight: bold; text-decoration: none;"> </ins>+<ins style="font-weight: bold; text-decoration: none;">40</ins> a^{10} z^2<ins style="font-weight: bold; text-decoration: none;">+18</ins> a^{10} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -31 a^{10}+<ins style="font-weight: bold; text-decoration: none;">a</ins>^9 <ins style="font-weight: bold; text-decoration: none;">z</ins>^9+11<ins style="font-weight: bold; text-decoration: none;"> a^9</ins> z^7<ins style="font-weight: bold; text-decoration: none;">-12</ins> a^9 z^5<ins style="font-weight: bold; text-decoration: none;">-30</ins> a^9 z^3<ins style="font-weight: bold; text-decoration: none;">+12</ins> a^9 z<ins style="font-weight: bold; text-decoration: none;">^{-3} +55</ins> a^9<ins style="font-weight: bold; text-decoration: none;"> z</ins>-41 a^9 z^{-1} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>+5 a^8 z^6<ins style="font-weight: bold; text-decoration: none;">-25</ins> a^8 z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>4 a^8 z^<ins style="font-weight: bold; text-decoration: none;">{-4}</ins> +<ins style="font-weight: bold; text-decoration: none;">30</ins> a^8 z^2<ins style="font-weight: bold; text-decoration: none;">+14</ins> a^8 z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -25 a^8+10 <ins style="font-weight: bold; text-decoration: none;">a</ins>^7 <ins style="font-weight: bold; text-decoration: none;">z</ins>^7-10<ins style="font-weight: bold; text-decoration: none;"> a^7</ins> z^5<ins style="font-weight: bold; text-decoration: none;">-10</ins> a^7 z^3<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^7 z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">3} +20</ins> a^7 z-<ins style="font-weight: bold; text-decoration: none;">15</ins> a^7 z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +10 <ins style="font-weight: bold; text-decoration: none;">a</ins>^6 <ins style="font-weight: bold; text-decoration: none;">z</ins>^6-14<ins style="font-weight: bold; text-decoration: none;"> a^6</ins> z^4<ins style="font-weight: bold; text-decoration: none;">-</ins>a^6 z^<ins style="font-weight: bold; text-decoration: none;">{-4}</ins> +<ins style="font-weight: bold; text-decoration: none;">10</ins> a^6 z^2<ins style="font-weight: bold; text-decoration: none;">+5</ins> a^6 z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -10 a^6+4 <ins style="font-weight: bold; text-decoration: none;">a</ins>^5 <ins style="font-weight: bold; text-decoration: none;">z</ins>^5+<ins style="font-weight: bold; text-decoration: none;">a</ins>^4 <ins style="font-weight: bold; text-decoration: none;">z</ins>^4&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10a174/Kauffman_Polynomial&diff=72346&oldid=prev 2005-08-26T11:39:07Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;z^6 a^{14}-5 z^4 a^{14}+10 z^2 a^{14}+5 a^{14} z^{-2} -a^{14} z^{-4} -10 a^{14}+z^7 a^{13}-10 z^3 a^{13}+20 z a^{13}-15 a^{13} z^{-1} +4 a^{13} z^{-3} +z^8 a^{12}+4 z^6 a^{12}-20 z^4 a^{12}+30 z^2 a^{12}+14 a^{12} z^{-2} -4 a^{12} z^{-4} -25 a^{12}+z^9 a^{11}+2 z^7 a^{11}+2 z^5 a^{11}-30 z^3 a^{11}+55 z a^{11}-41 a^{11} z^{-1} +12 a^{11} z^{-3} +6 z^8 a^{10}-2 z^6 a^{10}-25 z^4 a^{10}+40 z^2 a^{10}+18 a^{10} z^{-2} -6 a^{10} z^{-4} -31 a^{10}+z^9 a^9+11 z^7 a^9-12 z^5 a^9-30 z^3 a^9+55 z a^9-41 a^9 z^{-1} +12 a^9 z^{-3} +5 z^8 a^8+5 z^6 a^8-25 z^4 a^8+30 z^2 a^8+14 a^8 z^{-2} -4 a^8 z^{-4} -25 a^8+10 z^7 a^7-10 z^5 a^7-10 z^3 a^7+20 z a^7-15 a^7 z^{-1} +4 a^7 z^{-3} +10 z^6 a^6-14 z^4 a^6+10 z^2 a^6+5 a^6 z^{-2} -a^6 z^{-4} -10 a^6+4 z^5 a^5+z^4 a^4&lt;/math&gt;</div>

ScottDataRobot