https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a19%2FKauffman_Polynomial 2026-04-04T06:45:24Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a19/Kauffman_Polynomial&diff=1715041&oldid=prev 2013-02-20T20:31:55Z

<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 16:31, 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;">-</del>a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-2</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">5</del> a<del style="font-weight: bold; text-decoration: none;">^4 z</del>^8<del style="font-weight: bold; text-decoration: none;">-3</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">2</del> a^7 z^<del style="font-weight: bold; text-decoration: none;">7-3</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^7-<del style="font-weight: bold; text-decoration: none;">4</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>-a^<del style="font-weight: bold; text-decoration: none;">8</del> z^6<del style="font-weight: bold; text-decoration: none;">+2</del> a^6 z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">7</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;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^6+<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;">5</del>+<del style="font-weight: bold; text-decoration: none;">12</del> a^5 z^<del style="font-weight: bold; text-decoration: none;">5+10</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^5+a z^<del style="font-weight: bold; text-decoration: none;">5-</del>3 <del style="font-weight: bold; text-decoration: none;">z</del>^5 a^{-1} +<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">4+</del>8 a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4+</del>4 a^4 z^4+<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;">4</del>-<del style="font-weight: bold; text-decoration: none;">z</del>^4<del style="font-weight: bold; text-decoration: none;"> </del>a^<del style="font-weight: bold; text-decoration: none;">{-2} +</del>3 z^<del style="font-weight: bold; text-decoration: none;">4-</del>5 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;">9</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3-</del>3 a^3 z^3+<del style="font-weight: bold; text-decoration: none;">5</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">3+4</del> z^<del style="font-weight: bold; text-decoration: none;">3 a^{</del>-<del style="font-weight: bold; text-decoration: none;">1} -5</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">2-12 a^6 </del>z^<del style="font-weight: bold; text-decoration: none;">2-8</del> a^<del style="font-weight: bold; text-decoration: none;">4 z^2</del>-2 a^2 z^2<del style="font-weight: bold; text-decoration: none;">+</del>z^2 a^{-2} +2 a^7 z+5 a^<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">z</del>-5 a z-<del style="font-weight: bold; text-decoration: none;">2</del> z a^{-1} +<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^8+5</del> <del style="font-weight: bold; text-decoration: none;">a^6</del>+<del style="font-weight: bold; text-decoration: none;">3 a^4-a^</del>2<del style="font-weight: bold; text-decoration: none;">-a^7</del> z^{-1} -<del style="font-weight: bold; text-decoration: none;">2 </del>a<del style="font-weight: bold; text-decoration: none;">^5</del> z^{-1} +<del style="font-weight: bold; text-decoration: none;">a</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</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;">4 </ins>a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+5</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> a^8<ins style="font-weight: bold; text-decoration: none;">+2</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;">6</ins> a^7 z^<ins style="font-weight: bold; text-decoration: none;">5+5</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z<ins style="font-weight: bold; text-decoration: none;">+a</ins>^7<ins style="font-weight: bold; text-decoration: none;"> z^{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +2</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;">2 </ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^6<ins style="font-weight: bold; text-decoration: none;">-8</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">12</ins> 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;">5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^6+a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>+<ins style="font-weight: bold; text-decoration: none;">3</ins> a^5 z^<ins style="font-weight: bold; text-decoration: none;">7-12</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^5+<ins style="font-weight: bold; text-decoration: none;">9 </ins>a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z^3<ins style="font-weight: bold; text-decoration: none;">-5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^5<ins style="font-weight: bold; text-decoration: none;"> z+2</ins> a<ins style="font-weight: bold; text-decoration: none;">^5 z</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^8<ins style="font-weight: bold; text-decoration: none;">-7</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6-</ins>4 a^4 z^4+<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;">2</ins>-<ins style="font-weight: bold; text-decoration: none;">3 a</ins>^4<ins style="font-weight: bold; text-decoration: none;">+</ins>a^3 z^<ins style="font-weight: bold; text-decoration: none;">9+</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">10</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+</ins>3 a^3 z^3+<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<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;">4+</ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +</ins>2 a^2 z^2<ins style="font-weight: bold; text-decoration: none;">-</ins>z^2 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">a^</ins>2<ins style="font-weight: bold; text-decoration: none;">+4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^7<ins style="font-weight: bold; text-decoration: none;">-a</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins>+<ins style="font-weight: bold; text-decoration: none;">3 z^</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> -5 a z<ins style="font-weight: bold; text-decoration: none;">^3</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a <ins style="font-weight: bold; text-decoration: none;">z</ins>+2 z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^{-1} -a z^{-1} +<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z^4</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10a19/Kauffman_Polynomial&diff=70796&oldid=prev 2005-08-26T10:05:36Z

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

ScottDataRobot