https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n356%2FKauffman_Polynomial 2026-04-20T00:35:31Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n356/Kauffman_Polynomial&diff=1719107&oldid=prev 2013-02-20T21:57:54Z

<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 17:57, 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>2 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;">5 </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;">3</del> <del style="font-weight: bold; text-decoration: none;">z^8+</del>a^5 z^<del style="font-weight: bold; text-decoration: none;">7</del>+2 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7+4</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>+<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;">7</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1} -3</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">10 </del>a^<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^6+z^6 a</del>^{-2} <del style="font-weight: bold; text-decoration: none;">-6</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+2 a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>-5 a^3 z^5<del style="font-weight: bold; text-decoration: none;">-16</del> a z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">9</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-1} +<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4+</del>8 a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+5 a^2 z^4-3 z^4 a^{-2} -<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z^4+</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;">4 a^</del>3 z^<del style="font-weight: bold; text-decoration: none;">3+11 a z^3+6 z^3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -2 a^<del style="font-weight: bold; text-decoration: none;">6</del> z^2<del style="font-weight: bold; text-decoration: none;">-8</del> a<del style="font-weight: bold; text-decoration: none;">^4 z</del>^2-<del style="font-weight: bold; text-decoration: none;">6</del> a^2 <del style="font-weight: bold; text-decoration: none;">z^2</del>+<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">{-2} </del>+3 z^<del style="font-weight: bold; text-decoration: none;">2-5</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;">5</del> a z<del style="font-weight: bold; text-decoration: none;">+4 a</del>^<del style="font-weight: bold; text-decoration: none;">4+6</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">2-</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">2+2</del> a^3 z^{-1} +2 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-a^4</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> -2 <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>- 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;">3</ins>+<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;">4-</ins>2 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>+a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^5 z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+2 a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-3</ins> a<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;">8</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">8</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^{-2} <ins style="font-weight: bold; text-decoration: none;">+4 a^4+a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>+2 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-5 a^3 z^5<ins style="font-weight: bold; text-decoration: none;">+4</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> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">3 z+2</ins> a<ins style="font-weight: bold; text-decoration: none;">^3 z</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^8<ins style="font-weight: bold; text-decoration: none;">-10</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+z^6 a^{-2} </ins>+5 a^2 z^4-3 z^4 a^{-2} -<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;">2</ins>+3 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -2 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;">} +6</ins> a^2- a^<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;">a</ins> z^<ins style="font-weight: bold; text-decoration: none;">9+4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7</ins>+3 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;">16</ins> a z^<ins style="font-weight: bold; text-decoration: none;">5-9</ins> <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;">11</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">+6</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-5 a z</ins>+2 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+3</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z^6</ins>-2 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4+3</ins> z^2- z^{-2} <ins style="font-weight: bold; text-decoration: none;">+2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n356/Kauffman_Polynomial&diff=92770&oldid=prev 2005-08-27T04:44:23Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^3 z^9+a z^9+2 a^4 z^8+5 a^2 z^8+3 z^8+a^5 z^7+2 a^3 z^7+4 a z^7+3 z^7 a^{-1} -3 a^4 z^6-10 a^2 z^6+z^6 a^{-2} -6 z^6+2 a^5 z^5-5 a^3 z^5-16 a z^5-9 z^5 a^{-1} +4 a^6 z^4+8 a^4 z^4+5 a^2 z^4-3 z^4 a^{-2} -2 z^4+a^7 z^3+4 a^3 z^3+11 a z^3+6 z^3 a^{-1} -2 a^6 z^2-8 a^4 z^2-6 a^2 z^2+3 z^2 a^{-2} +3 z^2-5 a^3 z-5 a z+4 a^4+6 a^2- a^{-2} +2+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