https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a38%2FKauffman_Polynomial 2026-04-05T18:23:17Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a38/Kauffman_Polynomial&diff=1717210&oldid=prev 2013-02-20T21:17:48Z

<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 17:17, 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;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del>-<del style="font-weight: bold; text-decoration: none;">z^{10}-4</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-8 </del>a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">9-4</del> z<del style="font-weight: bold; text-decoration: none;">^9</del> a^<del style="font-weight: bold; text-decoration: none;">{-1} -</del>6<del style="font-weight: bold; text-decoration: none;"> a^4</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">15</del> a^<del style="font-weight: bold; text-decoration: none;">2 z^8-</del>6 z^<del style="font-weight: bold; text-decoration: none;">8</del> a^<del style="font-weight: bold; text-decoration: none;">{-2} -15</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-5 a^5 z^7-6 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7-</del>a z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">{-1} -4</del> z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-3</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6+</del>5 a^4 z^6+<del style="font-weight: bold; text-decoration: none;">32</del> a^2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6+12</del> z^<del style="font-weight: bold; text-decoration: none;">6 a^{</del>-2<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">-</del>z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-4} +<del style="font-weight: bold; text-decoration: none;">37</del> <del style="font-weight: bold; text-decoration: none;">z^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;">6</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;">5</del>+<del style="font-weight: bold; text-decoration: none;">24</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">36</del> a z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">29</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+</del>10 z^5 a^{-3} +<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;">4</del>+<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">19</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;">5</del> z<del style="font-weight: bold; text-decoration: none;">^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-23</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>+<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3-3 a^5</del> z^<del style="font-weight: bold; text-decoration: none;">3-28</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z^3</del>-<del style="font-weight: bold; text-decoration: none;">43</del> a z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">28</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-8</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-3</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^2-<del style="font-weight: bold; text-decoration: none;">7</del> a<del style="font-weight: bold; text-decoration: none;">^4 z</del>^2<del style="font-weight: bold; text-decoration: none;">-2</del> a<del style="font-weight: bold; text-decoration: none;">^2</del> z^<del style="font-weight: bold; text-decoration: none;">2-</del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> z<del style="font-weight: bold; text-decoration: none;">^2-a</del>^7 z<del style="font-weight: bold; text-decoration: none;">+2 a</del>^<del style="font-weight: bold; text-decoration: none;">5 z+15</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z+21</del> a z<del style="font-weight: bold; text-decoration: none;">+11</del> z a^{-1} +<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;"> a</del>^<del style="font-weight: bold; text-decoration: none;">{-</del>3<del style="font-weight: bold; text-decoration: none;">} </del>+<del style="font-weight: bold; text-decoration: none;">a^6+3</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4+</del>3 a<del style="font-weight: bold; text-decoration: none;">^2+2-a^5 z</del>^{-1} -<del style="font-weight: bold; text-decoration: none;">3</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>4 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 a^{-1} z^{-1} &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;">5</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;">3+</ins>a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z<ins style="font-weight: bold; text-decoration: none;">+3</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">4+3</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;">a^6+</ins>5 a^5 z^7-6 a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+3 </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;">2</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">z+</ins>a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+6</ins> 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^6+<ins style="font-weight: bold; text-decoration: none;">z^6</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-4} -</ins>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-2 z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-4} +<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;">2</ins>+<ins style="font-weight: bold; text-decoration: none;">z^2</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-4}</ins> <ins style="font-weight: bold; text-decoration: none;">-3 a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> a^3 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;">^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-24 a^3 z^5-</ins>10 z^5 a^{-3} +<ins style="font-weight: bold; text-decoration: none;">28</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;">8</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<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;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">3} -15</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z-<ins style="font-weight: bold; text-decoration: none;">2</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<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;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+a^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins>+<ins style="font-weight: bold; text-decoration: none;">15</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+6</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> -<ins style="font-weight: bold; text-decoration: none;">32</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;">12</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+19 a^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+5 z^4</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</ins> z^2-<ins style="font-weight: bold; text-decoration: none;">3</ins> a^2<ins style="font-weight: bold; text-decoration: none;">+8</ins> a z^<ins style="font-weight: bold; text-decoration: none;">9+4 </ins>z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">a</ins> z^7<ins style="font-weight: bold; text-decoration: none;">+4</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;">-36</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5-29</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">43 a</ins> z^3+<ins style="font-weight: bold; text-decoration: none;">28</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^3 a^{-1} -<ins style="font-weight: bold; text-decoration: none;">21</ins> a z<ins style="font-weight: bold; text-decoration: none;">-11 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>4 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+z^{10}+15 z^8-37 z^6+23 z^4-3 z^2-2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a38/Kauffman_Polynomial&diff=73855&oldid=prev 2005-08-26T13:11:15Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a^2 z^{10}-z^{10}-4 a^3 z^9-8 a z^9-4 z^9 a^{-1} -6 a^4 z^8-15 a^2 z^8-6 z^8 a^{-2} -15 z^8-5 a^5 z^7-6 a^3 z^7-a z^7-4 z^7 a^{-1} -4 z^7 a^{-3} -3 a^6 z^6+5 a^4 z^6+32 a^2 z^6+12 z^6 a^{-2} -z^6 a^{-4} +37 z^6-a^7 z^5+6 a^5 z^5+24 a^3 z^5+36 a z^5+29 z^5 a^{-1} +10 z^5 a^{-3} +5 a^6 z^4+2 a^4 z^4-19 a^2 z^4-5 z^4 a^{-2} +2 z^4 a^{-4} -23 z^4+2 a^7 z^3-3 a^5 z^3-28 a^3 z^3-43 a z^3-28 z^3 a^{-1} -8 z^3 a^{-3} -3 a^6 z^2-7 a^4 z^2-2 a^2 z^2-z^2 a^{-4} +3 z^2-a^7 z+2 a^5 z+15 a^3 z+21 a z+11 z a^{-1} +2 z a^{-3} +a^6+3 a^4+3 a^2+2-a^5 z^{-1} -3 a^3 z^{-1} -4 a z^{-1} -2 a^{-1} z^{-1} &lt;/math&gt;</div>

ScottDataRobot