https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n372%2FKauffman_Polynomial 2026-05-31T16:37:37Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n372/Kauffman_Polynomial&diff=1715060&oldid=prev 2013-02-20T20:32:20Z

<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 16:32, 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;<del style="font-weight: bold; text-decoration: none;">2</del> a z^<del style="font-weight: bold; text-decoration: none;">9+</del>2<del style="font-weight: bold; text-decoration: none;"> z^9 </del>a^<del style="font-weight: bold; text-decoration: none;">{-1} </del>+<del style="font-weight: bold; text-decoration: none;">6 </del>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>+3 z^<del style="font-weight: bold; text-decoration: none;">8 </del>a^<del style="font-weight: bold; text-decoration: none;">{-2} +9</del> z<del style="font-weight: bold; text-decoration: none;">^8</del>+<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7+2 </del>a z^<del style="font-weight: bold; text-decoration: none;">7</del>-3 z^<del style="font-weight: bold; text-decoration: none;">7 </del>a^<del style="font-weight: bold; text-decoration: none;">{-1}</del> <del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> a^4<del style="font-weight: bold; text-decoration: none;"> z^</del>6<del style="font-weight: bold; text-decoration: none;">-20</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6-13 </del>z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-36 z^6+a^5 z^5</del>-16 a^3 z^5<del style="font-weight: bold; text-decoration: none;">-25 a z^5-12 z^5 a^{-1} </del>-4 z^5 a^{-3} <del style="font-weight: bold; text-decoration: none;">-a^4 z^4</del>+<del style="font-weight: bold; text-decoration: none;">27</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">17</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">+45</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4+</del>3 <del style="font-weight: bold; text-decoration: none;">a^5</del> z^3+<del style="font-weight: bold; text-decoration: none;">17</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">3</del>+<del style="font-weight: bold; text-decoration: none;">30</del> a z^3<del style="font-weight: bold; text-decoration: none;">+21</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">2-3</del> <del style="font-weight: bold; text-decoration: none;">a</del>^4 <del style="font-weight: bold; text-decoration: none;">z</del>^2-26 a^2 z^2-8 z^2 a^{-2} -<del style="font-weight: bold; text-decoration: none;">28</del> <del style="font-weight: bold; text-decoration: none;">z^2-</del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z-<del style="font-weight: bold; text-decoration: none;">10</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z</del>-<del style="font-weight: bold; text-decoration: none;">14</del> a z<del style="font-weight: bold; text-decoration: none;">-7</del> z a^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">a^6+4</del> a^<del style="font-weight: bold; text-decoration: none;">4+</del>12 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">2+2</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">10+2</del> a^3 z^{-1} <del style="font-weight: bold; text-decoration: none;">+2</del> a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>a<del style="font-weight: bold; text-decoration: none;">^4</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> - z^{-2} &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;">3</ins> a<ins style="font-weight: bold; text-decoration: none;">^6</ins> z^2<ins style="font-weight: bold; text-decoration: none;">-</ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins>+a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+3<ins style="font-weight: bold; text-decoration: none;"> a^5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z+<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6-</ins>a<ins style="font-weight: bold; text-decoration: none;">^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-3<ins style="font-weight: bold; text-decoration: none;"> a^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2-</ins>a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">4</ins> a^4<ins style="font-weight: bold; text-decoration: none;">+</ins>6 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7+</ins>z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -16 a^3 z^5-4 z^5 a^{-3} +<ins style="font-weight: bold; text-decoration: none;">17</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-10</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^3 <ins style="font-weight: bold; text-decoration: none;">z-2</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">} </ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^3 z^<ins style="font-weight: bold; text-decoration: none;">{-1} </ins>+<ins style="font-weight: bold; text-decoration: none;">6</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+</ins>3 z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-20 a^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6-13 z^6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">27</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+17</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^4 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} </ins>-26 a^2 z^2-8 z^2 a^{-2} -<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z<ins style="font-weight: bold; text-decoration: none;">^{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +12</ins> a^<ins style="font-weight: bold; text-decoration: none;">2+2</ins> <ins style="font-weight: bold; text-decoration: none;">a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +2</ins> a z<ins style="font-weight: bold; text-decoration: none;">^9+2</ins> z<ins style="font-weight: bold; text-decoration: none;">^9</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2<ins style="font-weight: bold; text-decoration: none;"> a</ins> z<ins style="font-weight: bold; text-decoration: none;">^7-3 z^7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">25</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">5-</ins>12 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">30</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">+21</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-14</ins> a z<ins style="font-weight: bold; text-decoration: none;">-7 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+2 </ins>a z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+9 z^8</ins>-<ins style="font-weight: bold; text-decoration: none;">36</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">6+45</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">28</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>- z^{-2} <ins style="font-weight: bold; text-decoration: none;">+10</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-92962:rev-1715060:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n372/Kauffman_Polynomial&diff=92962&oldid=prev 2005-08-27T04:55:00Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;2 a z^9+2 z^9 a^{-1} +6 a^2 z^8+3 z^8 a^{-2} +9 z^8+6 a^3 z^7+2 a z^7-3 z^7 a^{-1} +z^7 a^{-3} +3 a^4 z^6-20 a^2 z^6-13 z^6 a^{-2} -36 z^6+a^5 z^5-16 a^3 z^5-25 a z^5-12 z^5 a^{-1} -4 z^5 a^{-3} -a^4 z^4+27 a^2 z^4+17 z^4 a^{-2} +45 z^4+3 a^5 z^3+17 a^3 z^3+30 a z^3+21 z^3 a^{-1} +5 z^3 a^{-3} +3 a^6 z^2-3 a^4 z^2-26 a^2 z^2-8 z^2 a^{-2} -28 z^2-a^5 z-10 a^3 z-14 a z-7 z a^{-1} -2 z a^{-3} -a^6+4 a^4+12 a^2+2 a^{-2} +10+2 a^3 z^{-1} +2 a z^{-1} -a^4 z^{-2} -2 a^2 z^{-2} - z^{-2} &lt;/math&gt;</div>

ScottDataRobot