https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n172%2FKauffman_Polynomial 2026-08-05T02:30:00Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n172/Kauffman_Polynomial&diff=1715229&oldid=prev 2013-02-20T20:35:58Z

<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 16:35, 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^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-</del>4 a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8-8</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8-3</del> a^7 z^<del style="font-weight: bold; text-decoration: none;">7+</del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z<del style="font-weight: bold; text-decoration: none;">^7</del>+a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">7-a^8</del> z^6+<del style="font-weight: bold; text-decoration: none;">12</del> a^6 z^6<del style="font-weight: bold; text-decoration: none;">+25</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">11</del> a^2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6-</del>z^<del style="font-weight: bold; text-decoration: none;">6+</del>9<del style="font-weight: bold; text-decoration: none;"> </del>a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5+</del>8 a^5 z^5+<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">5+</del>5<del style="font-weight: bold; text-decoration: none;"> a</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">3</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">10</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4-</del>29 a^4 z^4-18 a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">4-</del>2 <del style="font-weight: bold; text-decoration: none;">z</del>^4<del style="font-weight: bold; text-decoration: none;">-6</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">5 </del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-4 a^3 z^<del style="font-weight: bold; text-decoration: none;">3-8</del> a z^3<del style="font-weight: bold; text-decoration: none;">-</del>3 z^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">2+6</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+18 a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">2+</del>11 a^2 z^2+<del style="font-weight: bold; text-decoration: none;">z</del>^2+a<del style="font-weight: bold; text-decoration: none;">^7</del> z-<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z+<del style="font-weight: bold; text-decoration: none;">3</del> a z+<del style="font-weight: bold; text-decoration: none;">4</del> z a^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^6</del>-<del style="font-weight: bold; text-decoration: none;">5 a^</del>4<del style="font-weight: bold; text-decoration: none;">-3</del> a<del style="font-weight: bold; text-decoration: none;">^2+1+a^5 z</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^3 z</del>^{-1} <del style="font-weight: bold; text-decoration: none;">- a</del>^{-1} z^<del style="font-weight: bold; text-decoration: none;">{</del>-1<del style="font-weight: bold; text-decoration: none;">} </del>&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;a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^4<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+3</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">9</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+6</ins> a^7 z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z+<ins style="font-weight: bold; text-decoration: none;">4 </ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">12</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^6+<ins style="font-weight: bold; text-decoration: none;">10</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>6 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">6+</ins>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">5 </ins>z^9<ins style="font-weight: bold; text-decoration: none;">-</ins>a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-</ins>8 a^5 z^5+<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-a^</ins>5 z^<ins style="font-weight: bold; text-decoration: none;">{-1} </ins>+<ins style="font-weight: bold; text-decoration: none;">8</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">25</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+</ins>29 a^4 z^4-18 a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^2<ins style="font-weight: bold; text-decoration: none;">+5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^4<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-4 a^3 z^<ins style="font-weight: bold; text-decoration: none;">5+4</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^3<ins style="font-weight: bold; text-decoration: none;">+2 a^</ins>3 z<ins style="font-weight: bold; text-decoration: none;">-2 a</ins>^3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+4</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-11</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+18 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>11 a^2 z^2+<ins style="font-weight: bold; text-decoration: none;">3 a</ins>^2+<ins style="font-weight: bold; text-decoration: none;">3 </ins>a z<ins style="font-weight: bold; text-decoration: none;">^7</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5</ins>+<ins style="font-weight: bold; text-decoration: none;">8</ins> a z<ins style="font-weight: bold; text-decoration: none;">^3</ins>+<ins style="font-weight: bold; text-decoration: none;">3</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-1} -<ins style="font-weight: bold; text-decoration: none;">3</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>-4<ins style="font-weight: bold; text-decoration: none;"> z</ins> a^{-1} + a^{-1} <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">6+2 z^4-z^2</ins>-1&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n172/Kauffman_Polynomial&diff=90564&oldid=prev 2005-08-27T03:04:49Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-2 a^5 z^9-2 a^3 z^9-4 a^6 z^8-8 a^4 z^8-4 a^2 z^8-3 a^7 z^7+a^5 z^7+a^3 z^7-3 a z^7-a^8 z^6+12 a^6 z^6+25 a^4 z^6+11 a^2 z^6-z^6+9 a^7 z^5+8 a^5 z^5+4 a^3 z^5+5 a z^5+3 a^8 z^4-10 a^6 z^4-29 a^4 z^4-18 a^2 z^4-2 z^4-6 a^7 z^3-5 a^5 z^3-4 a^3 z^3-8 a z^3-3 z^3 a^{-1} -2 a^8 z^2+6 a^6 z^2+18 a^4 z^2+11 a^2 z^2+z^2+a^7 z-2 a^3 z+3 a z+4 z a^{-1} -2 a^6-5 a^4-3 a^2+1+a^5 z^{-1} +2 a^3 z^{-1} - a^{-1} z^{-1} &lt;/math&gt;</div>

ScottDataRobot