https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a169%2FKauffman_Polynomial 2026-09-14T15:15:44Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a169/Kauffman_Polynomial&diff=1715095&oldid=prev 2013-02-20T20:33:07Z

<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 16:33, 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;">-4</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 z^<del style="font-weight: bold; text-decoration: none;">9-</del>11 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;">22</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^8<del style="font-weight: bold; text-decoration: none;">-11 z^8-11</del> a^5 z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">19 </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;">19</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">7-11</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^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6+</del>12 a^4 z^6+<del style="font-weight: bold; text-decoration: none;">34</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^6-5 z^6 a</del>^{-2} <del style="font-weight: bold; text-decoration: none;">+12</del> <del style="font-weight: bold; text-decoration: none;">z^6-</del>a^<del style="font-weight: bold; text-decoration: none;">7 z^5</del>+<del style="font-weight: bold; text-decoration: none;">17</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">48</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">5+</del>48 a z^5+<del style="font-weight: bold; text-decoration: none;">17 </del>z^5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-</del>z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-3} +<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^2 z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-2} <del style="font-weight: bold; text-decoration: none;">-</del>8 a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">24</del> <del style="font-weight: bold; text-decoration: none;">a</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;">3</del>-<del style="font-weight: bold; text-decoration: none;">24</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">3-8</del> z<del style="font-weight: bold; text-decoration: none;">^3 a</del>^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">a^</del>3 <del style="font-weight: bold; text-decoration: none;">z-</del>a<del style="font-weight: bold; text-decoration: none;"> z+</del>2 a^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">3</del> a^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">2-a^5</del> z^{-1} - a^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">-3</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;">6</del> a<del style="font-weight: bold; text-decoration: none;">^2</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</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;">2</del>}<del style="font-weight: bold; text-decoration: none;"> +a^5</del> z^{-3} +<del style="font-weight: bold; text-decoration: none;">3 </del>a<del style="font-weight: bold; text-decoration: none;">^3</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</del>}<del style="font-weight: bold; text-decoration: none;"> +3 a</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</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}</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</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;<ins style="font-weight: bold; text-decoration: none;">a^7 z^5+5</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-4 a<ins style="font-weight: bold; text-decoration: none;">^6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+</ins>11 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;">17</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+</ins>8 a^5 z^<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;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">3}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+11</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-</ins>12 a^4 z^6+<ins style="font-weight: bold; text-decoration: none;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^{-2} <ins style="font-weight: bold; text-decoration: none;">-2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<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;">9</ins>+<ins style="font-weight: bold; text-decoration: none;">19</ins> a^3 z^<ins style="font-weight: bold; text-decoration: none;">7-</ins>48 a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^5+z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+24 a^3 </ins>z^<ins style="font-weight: bold; text-decoration: none;">3-3</ins> a<ins style="font-weight: bold; text-decoration: none;">^3 z</ins>^{-3} +<ins style="font-weight: bold; text-decoration: none;">a^3 z+22</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^8<ins style="font-weight: bold; text-decoration: none;">-34</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} <ins style="font-weight: bold; text-decoration: none;">+</ins>8 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</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;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +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 a<ins style="font-weight: bold; text-decoration: none;">^</ins>2<ins style="font-weight: bold; text-decoration: none;">+4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">9</ins>+<ins style="font-weight: bold; text-decoration: none;">19</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">11</ins> z<ins style="font-weight: bold; text-decoration: none;">^7 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">48</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">17</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+24</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+8</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">3</ins> a z^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} - <ins style="font-weight: bold; text-decoration: none;">a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-3} +a z<ins style="font-weight: bold; text-decoration: none;">+ a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">11</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">12 z^6+3</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <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:L10a169/Kauffman_Polynomial&diff=72296&oldid=prev 2005-08-26T11:35:53Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-4 a^3 z^9-4 a z^9-11 a^4 z^8-22 a^2 z^8-11 z^8-11 a^5 z^7-19 a^3 z^7-19 a z^7-11 z^7 a^{-1} -5 a^6 z^6+12 a^4 z^6+34 a^2 z^6-5 z^6 a^{-2} +12 z^6-a^7 z^5+17 a^5 z^5+48 a^3 z^5+48 a z^5+17 z^5 a^{-1} -z^5 a^{-3} +4 a^6 z^4-8 a^2 z^4+4 z^4 a^{-2} -8 a^5 z^3-24 a^3 z^3-24 a z^3-8 z^3 a^{-1} -a^3 z-a z+2 a^4+3 a^2+2-a^5 z^{-1} - a^{-1} z^{-1} -3 a^4 z^{-2} -6 a^2 z^{-2} -3 z^{-2} +a^5 z^{-3} +3 a^3 z^{-3} +3 a z^{-3} + a^{-1} z^{-3} &lt;/math&gt;</div>

ScottDataRobot