https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n272%2FKauffman_Polynomial 2026-04-26T01:35:45Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n272/Kauffman_Polynomial&diff=1714237&oldid=prev 2013-02-20T20:14:40Z

<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 16:14, 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;">6</del> z^<del style="font-weight: bold; text-decoration: none;">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;">a^2</del> <del style="font-weight: bold; text-decoration: none;">z^8+z^8+</del>a^7 z^7<del style="font-weight: bold; text-decoration: none;">+3</del> a<del style="font-weight: bold; text-decoration: none;">^5 z</del>^7<del style="font-weight: bold; text-decoration: none;">+3 a^3</del> z<del style="font-weight: bold; text-decoration: none;">^7</del>+2 a<del style="font-weight: bold; text-decoration: none;"> z</del>^7<del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-5 </del>a^6 z^<del style="font-weight: bold; text-decoration: none;">6</del>-5 a^<del style="font-weight: bold; text-decoration: none;">4</del> z^6<del style="font-weight: bold; text-decoration: none;">-</del>6 a^<del style="font-weight: bold; text-decoration: none;">2</del> z^6<del style="font-weight: bold; text-decoration: none;">+</del>z^6 <del style="font-weight: bold; text-decoration: none;">a</del>^{-2} <del style="font-weight: bold; text-decoration: none;">-5 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>-18 a^5 z^5<del style="font-weight: bold; text-decoration: none;">-21</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">13</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">-4</del> z^5 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} +<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;">4+</del>5 a^4 z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^4-<del style="font-weight: bold; text-decoration: none;">5</del> <del style="font-weight: bold; text-decoration: none;">z</del>^4 a^{-2} +<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z</del>^4+<del style="font-weight: bold; text-decoration: none;">11</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3+33</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>+42 a^3 z^3<del style="font-weight: bold; text-decoration: none;">+20</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3<del style="font-weight: bold; text-decoration: none;">-2</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">4</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;">3</del> a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">6 </del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} +<del style="font-weight: bold; text-decoration: none;">5 z^2-</del>7 a^<del style="font-weight: bold; text-decoration: none;">7</del> z<del style="font-weight: bold; text-decoration: none;">-27 a</del>^5 z<del style="font-weight: bold; text-decoration: none;">-34</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;">10</del> a z+<del style="font-weight: bold; text-decoration: none;">4</del> z a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+</del>a^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">4</del>+4 a^2-4 a^{-2} <del style="font-weight: bold; text-decoration: none;">-3</del>+2 a^7<del style="font-weight: bold; text-decoration: none;"> </del>z^{-1} <del style="font-weight: bold; text-decoration: none;">+8</del> a^5 z^{-1} +<del style="font-weight: bold; text-decoration: none;">10</del> a^3 z^{-1} +2 a z^{-1} -2 a^{-1} z^{-1} <del style="font-weight: bold; text-decoration: none;">-a^6 </del>z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2} -3 a^4</del> z^<del style="font-weight: bold; text-decoration: none;">{-2} -2 a^2</del> z^<del style="font-weight: bold; text-decoration: none;">{-2} </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>+ 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;">11</ins> a^7 z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>7 a^7 z+2 a^7<ins style="font-weight: bold; text-decoration: none;"> </ins>z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>a^6 z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-5 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^6<ins style="font-weight: bold; text-decoration: none;">+</ins>6 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z<ins style="font-weight: bold; text-decoration: none;">^4-2 a</ins>^6<ins style="font-weight: bold; text-decoration: none;"> </ins>z<ins style="font-weight: bold; text-decoration: none;">^2-a</ins>^6 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-2} <ins style="font-weight: bold; text-decoration: none;">+a</ins>^6<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;">7</ins>-18 a^5 z^5<ins style="font-weight: bold; text-decoration: none;">+33</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">27</ins> a^5 z<ins style="font-weight: bold; text-decoration: none;">+8 a</ins>^5 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} +a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-</ins>5 a^4 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^4-<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^4<ins style="font-weight: bold; text-decoration: none;"> z^2-3</ins> a<ins style="font-weight: bold; text-decoration: none;">^4 z</ins>^{-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;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-21</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>+42 a^3 z^3<ins style="font-weight: bold; text-decoration: none;">-34</ins> a^3<ins style="font-weight: bold; text-decoration: none;"> z+10</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1}</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;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} +7 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4-</ins>5 z<ins style="font-weight: bold; text-decoration: none;">^4</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> -<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;">^2</ins>+<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;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-2 </ins>a^<ins style="font-weight: bold; text-decoration: none;">2 z^{-2} </ins>+ a^<ins style="font-weight: bold; text-decoration: none;">{-2} z^{-2} </ins>+4 a^2-4 a^{-2} +2 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 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-13</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^5<ins style="font-weight: bold; text-decoration: none;">-4</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">20</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">-10 a</ins> z<ins style="font-weight: bold; text-decoration: none;">+4 z a</ins>^{-1} +2 a z^{-1} -2 a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+3</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> z^2+ z^{-2} <ins style="font-weight: bold; text-decoration: none;">-3</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n272/Kauffman_Polynomial&diff=91762&oldid=prev 2005-08-27T03:50:00Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^6 z^8+a^4 z^8+a^2 z^8+z^8+a^7 z^7+3 a^5 z^7+3 a^3 z^7+2 a z^7+z^7 a^{-1} -5 a^6 z^6-5 a^4 z^6-6 a^2 z^6+z^6 a^{-2} -5 z^6-6 a^7 z^5-18 a^5 z^5-21 a^3 z^5-13 a z^5-4 z^5 a^{-1} +6 a^6 z^4+5 a^4 z^4+7 a^2 z^4-5 z^4 a^{-2} +3 z^4+11 a^7 z^3+33 a^5 z^3+42 a^3 z^3+20 a z^3-2 a^6 z^2-4 a^4 z^2-3 a^2 z^2+6 z^2 a^{-2} +5 z^2-7 a^7 z-27 a^5 z-34 a^3 z-10 a z+4 z a^{-1} +a^6+5 a^4+4 a^2-4 a^{-2} -3+2 a^7 z^{-1} +8 a^5 z^{-1} +10 a^3 z^{-1} +2 a z^{-1} -2 a^{-1} z^{-1} -a^6 z^{-2} -3 a^4 z^{-2} -2 a^2 z^{-2} + a^{-2} z^{-2} + z^{-2} &lt;/math&gt;</div>

ScottDataRobot