https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n406%2FKauffman_Polynomial 2026-07-06T03:02:55Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n406/Kauffman_Polynomial&diff=1714607&oldid=prev 2013-02-20T20:22:39Z

<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 16:22, 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;a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9+</del>a z^<del style="font-weight: bold; text-decoration: none;">9</del>+a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8+2</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;">2 </del>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^8<del style="font-weight: bold; text-decoration: none;">+</del>z^<del style="font-weight: bold; text-decoration: none;">8</del>+a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">7+2</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">7-</del>6 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^7-<del style="font-weight: bold; text-decoration: none;">6</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>+<del style="font-weight: bold; text-decoration: none;">z^7</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;">6</del> z<del style="font-weight: bold; text-decoration: none;">^6-14</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">13</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^6+<del style="font-weight: bold; text-decoration: none;">z^6</del> a^<del style="font-weight: bold; text-decoration: none;">{-2} -</del>4 z^<del style="font-weight: bold; text-decoration: none;">6</del>-<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;">5-12</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">5+8</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">10</del> a z^5-<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1} +11</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">30</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z^4</del>+22 a^2 z^4-5 z^4 a^{-2} -<del style="font-weight: bold; text-decoration: none;">2 z^4+10</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;">18 a^5</del> z^<del style="font-weight: bold; text-decoration: none;">3-</del>2 a^<del style="font-weight: bold; text-decoration: none;">3 z^3</del>-<del style="font-weight: bold; text-decoration: none;">10 a z^3-10</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^2<del style="font-weight: bold; text-decoration: none;">-28</del> a^<del style="font-weight: bold; text-decoration: none;">4 z^2</del>-<del style="font-weight: bold; text-decoration: none;">12 a^</del>2 z^2<del style="font-weight: bold; text-decoration: none;">+6</del> <del style="font-weight: bold; text-decoration: none;">z^2</del> a^{-2} +<del style="font-weight: bold; text-decoration: none;">12</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">4</del> a^7<del style="font-weight: bold; text-decoration: none;"> </del>z<del style="font-weight: bold; text-decoration: none;">-8</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">z</del>+<del style="font-weight: bold; text-decoration: none;">8</del> a z<del style="font-weight: bold; text-decoration: none;">+</del>4 z a^{-1} <del style="font-weight: bold; text-decoration: none;">+4</del> a^<del style="font-weight: bold; text-decoration: none;">6</del>+8 a<del style="font-weight: bold; text-decoration: none;">^4-</del>4 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-7</del>-2 a z^{-1} -2 a^{-1} z^{-1} +<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>-2<del style="font-weight: bold; text-decoration: none;">}</del> +<del style="font-weight: bold; text-decoration: none;"> a^{-2}</del> z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} </del>+2 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;a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-6 </ins>a<ins style="font-weight: bold; text-decoration: none;">^7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+<ins style="font-weight: bold; text-decoration: none;">10 </ins>a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-4</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z+a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^8<ins style="font-weight: bold; text-decoration: none;">-6 a^6 </ins>z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">11 </ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4-10</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+4 a^</ins>6<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^7-<ins style="font-weight: bold; text-decoration: none;">12</ins> a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+<ins style="font-weight: bold; text-decoration: none;">18</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z^3</ins>-<ins style="font-weight: bold; text-decoration: none;">8</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^6+<ins style="font-weight: bold; text-decoration: none;">30</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">28</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+8</ins> a^<ins style="font-weight: bold; text-decoration: none;">4+a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9-6</ins> a^3 z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">8</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^5-<ins style="font-weight: bold; text-decoration: none;">2 a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2 z^8</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">z^6</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> +22 a^2 z^4-5 z^4 a^{-2} -<ins style="font-weight: bold; text-decoration: none;">12</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>+<ins style="font-weight: bold; text-decoration: none;">6</ins> z^2 a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} +</ins> a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-2<ins style="font-weight: bold; text-decoration: none;">}</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">}</ins> <ins style="font-weight: bold; text-decoration: none;">-4</ins> a^{-2} +<ins style="font-weight: bold; text-decoration: none;">a</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^7<ins style="font-weight: bold; text-decoration: none;">+</ins>z<ins style="font-weight: bold; text-decoration: none;">^7</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> +<ins style="font-weight: bold; text-decoration: none;">10</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5-</ins>4 z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">-10</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins>+8 a<ins style="font-weight: bold; text-decoration: none;"> z+</ins>4<ins style="font-weight: bold; text-decoration: none;"> z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -2 a z^{-1} -2 a^{-1} z^{-1} +<ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8-4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-2 <ins style="font-weight: bold; text-decoration: none;">z^4</ins>+<ins style="font-weight: bold; text-decoration: none;">12</ins> z^2+2 z^{-2} <ins style="font-weight: bold; text-decoration: none;">-7</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-93369:rev-1714607:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n406/Kauffman_Polynomial&diff=93369&oldid=prev 2005-08-27T05:13:38Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^3 z^9+a z^9+a^6 z^8+2 a^4 z^8+2 a^2 z^8+z^8+a^7 z^7+2 a^5 z^7-6 a^3 z^7-6 a z^7+z^7 a^{-1} -6 a^6 z^6-14 a^4 z^6-13 a^2 z^6+z^6 a^{-2} -4 z^6-6 a^7 z^5-12 a^5 z^5+8 a^3 z^5+10 a z^5-4 z^5 a^{-1} +11 a^6 z^4+30 a^4 z^4+22 a^2 z^4-5 z^4 a^{-2} -2 z^4+10 a^7 z^3+18 a^5 z^3-2 a^3 z^3-10 a z^3-10 a^6 z^2-28 a^4 z^2-12 a^2 z^2+6 z^2 a^{-2} +12 z^2-4 a^7 z-8 a^5 z+8 a z+4 z a^{-1} +4 a^6+8 a^4-4 a^{-2} -7-2 a z^{-1} -2 a^{-1} z^{-1} +a^2 z^{-2} + a^{-2} z^{-2} +2 z^{-2} &lt;/math&gt;</div>

ScottDataRobot