https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a122%2FKauffman_Polynomial 2026-08-07T15:55:17Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a122/Kauffman_Polynomial&diff=1718432&oldid=prev 2013-02-20T21:43:40Z

<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 17:43, 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}-2</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-6</del> a z^<del style="font-weight: bold; text-decoration: none;">9-4</del> z<del style="font-weight: bold; text-decoration: none;">^9 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-</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;">3</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} -7</del> z^<del style="font-weight: bold; text-decoration: none;">8-</del>2 a^5 z^7+a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7+14</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>+<del style="font-weight: bold; text-decoration: none;">7 z^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^{-3} </del>-2 a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-2 a^4 z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^6+<del style="font-weight: bold; text-decoration: none;">18 </del>z^6 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-4} +<del style="font-weight: bold; text-decoration: none;">26</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>-a^<del style="font-weight: bold; text-decoration: none;">5 z^5-6</del> a^3 z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">14 </del>a z^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +11 z^5 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>+<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;">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;">8</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;">13</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;">2</del>} +2 z<del style="font-weight: bold; text-decoration: none;">^4 a</del>^{<del style="font-weight: bold; text-decoration: none;">-4</del>}<del style="font-weight: bold; text-decoration: none;"> -26 z^4</del>+3 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;">9 a^5</del> z^<del style="font-weight: bold; text-decoration: none;">3+13</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z^3+6</del> a z^<del style="font-weight: bold; text-decoration: none;">3-</del>6 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;">-5</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;">2</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^2-<del style="font-weight: bold; text-decoration: none;">4 a^4</del> z^2<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;">2</del> z^<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;">+7</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;">a</del>^7 <del style="font-weight: bold; text-decoration: none;">z</del>-<del style="font-weight: bold; text-decoration: none;">8</del> a^5 z<del style="font-weight: bold; text-decoration: none;">-9</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;">3</del> a z+z a^{-1} +a<del style="font-weight: bold; text-decoration: none;">^4+a^7</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">+2 </del>a<del style="font-weight: bold; text-decoration: none;">^5</del> z^{-1} +<del style="font-weight: bold; text-decoration: none;">2 a</del>^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</del> +<del style="font-weight: bold; text-decoration: none;">a</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</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;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;">3</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+3</ins> a<ins style="font-weight: bold; text-decoration: none;">^7</ins> z<ins style="font-weight: bold; text-decoration: none;">-a</ins>^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">4+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+</ins>2 a^5 z^7+a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">5-9</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;">8</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z-2 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;">1} +</ins>2 a^4 z^<ins style="font-weight: bold; text-decoration: none;">8</ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^6+z^6 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">7 a^4 </ins>z^<ins style="font-weight: bold; text-decoration: none;">4-2 z^4</ins> a^{-4} +<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-a^<ins style="font-weight: bold; text-decoration: none;">4+2</ins> a^3 z^<ins style="font-weight: bold; text-decoration: none;">9</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;">6 a^3 z^5-</ins>11 z^5 a^{-3} <ins style="font-weight: bold; text-decoration: none;">-13</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;">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} +9</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z-<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;">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^</ins>2 z^{<ins style="font-weight: bold; text-decoration: none;">10</ins>}+3 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> 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;">-7</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^6<ins style="font-weight: bold; text-decoration: none;">-18</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;">+8 a^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+13 z^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^2-<ins style="font-weight: bold; text-decoration: none;">2</ins> z^2 a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} +6 a</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>+<ins style="font-weight: bold; text-decoration: none;">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;">-14 a</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">7</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^7 <ins style="font-weight: bold; text-decoration: none;">a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +14</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^5<ins style="font-weight: bold; text-decoration: none;">-3</ins> z<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;">6</ins> a z<ins style="font-weight: bold; text-decoration: none;">^3</ins>+<ins style="font-weight: bold; text-decoration: none;">6 </ins>z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">3 </ins>a z<ins style="font-weight: bold; text-decoration: none;">-z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-</ins>a z^{-1} +<ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">{10}+7</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">26</ins> <ins style="font-weight: bold; text-decoration: none;">z^6</ins>+<ins style="font-weight: bold; text-decoration: none;">26</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">7</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a122/Kauffman_Polynomial&diff=87909&oldid=prev 2005-08-27T00:50:25Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a^2 z^{10}-z^{10}-2 a^3 z^9-6 a z^9-4 z^9 a^{-1} -2 a^4 z^8-3 a^2 z^8-6 z^8 a^{-2} -7 z^8-2 a^5 z^7+a^3 z^7+14 a z^7+7 z^7 a^{-1} -4 z^7 a^{-3} -2 a^6 z^6-2 a^4 z^6+7 a^2 z^6+18 z^6 a^{-2} -z^6 a^{-4} +26 z^6-a^7 z^5-a^5 z^5-6 a^3 z^5-14 a z^5+3 z^5 a^{-1} +11 z^5 a^{-3} +4 a^6 z^4+7 a^4 z^4-8 a^2 z^4-13 z^4 a^{-2} +2 z^4 a^{-4} -26 z^4+3 a^7 z^3+9 a^5 z^3+13 a^3 z^3+6 a z^3-6 z^3 a^{-1} -5 z^3 a^{-3} -2 a^6 z^2-4 a^4 z^2+3 a^2 z^2+2 z^2 a^{-2} +7 z^2-3 a^7 z-8 a^5 z-9 a^3 z-3 a z+z a^{-1} +a^4+a^7 z^{-1} +2 a^5 z^{-1} +2 a^3 z^{-1} +a z^{-1} &lt;/math&gt;</div>

ScottDataRobot