https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a133%2FKauffman_Polynomial 2026-04-05T14:10:16Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a133/Kauffman_Polynomial&diff=1717227&oldid=prev 2013-02-20T21:18:10Z

<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 17:18, 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;z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">+</del>z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+</del>4 z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">+</del>z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-2 </del>z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +z^7 a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+4</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-9} +z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-11</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -6 z^6 a^{-8} +<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">4 z^5</del> a^{-<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^{-7} <del style="font-weight: bold; text-decoration: none;">-6 </del>z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">+</del>3 z^5 a^{-<del style="font-weight: bold; text-decoration: none;">11</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;">-9</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+</del>11 z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-6} +<del style="font-weight: bold; text-decoration: none;">9</del> z^4 a^{-<del style="font-weight: bold; text-decoration: none;">8</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;">10</del>} +<del style="font-weight: bold; text-decoration: none;">z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">12</del>} -<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z^</del>3 a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-9 </del>z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-5} <del style="font-weight: bold; text-decoration: none;">+</del>2 z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +4 z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} -<del style="font-weight: bold; text-decoration: none;">4</del> z^3 a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} +<del style="font-weight: bold; text-decoration: none;">8</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;">+13 z^</del>2 a^{-<del style="font-weight: bold; text-decoration: none;">4</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;">6</del>} -<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} +z^2 a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} <del style="font-weight: bold; text-decoration: none;">-z^</del>2 a^{-<del style="font-weight: bold; text-decoration: none;">12</del>}<del style="font-weight: bold; text-decoration: none;"> +6</del> z<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;">+6 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-5</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -3 a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} + a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} -2 a^{-3} z^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} z^<del style="font-weight: bold; text-decoration: none;">{-1} +</del> a^{-2} z^{-2} +<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} z^{-2} <del style="font-weight: bold; text-decoration: none;">+ a^{</del>-<del style="font-weight: bold; text-decoration: none;">6}</del> <del style="font-weight: bold; text-decoration: none;">z</del>^{-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;z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} +<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;">11</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} +<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">-5 </ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} +<ins style="font-weight: bold; text-decoration: none;">4 </ins>z^7 a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} <ins style="font-weight: bold; text-decoration: none;">-6</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-9} +<ins style="font-weight: bold; text-decoration: none;">4 </ins>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} <ins style="font-weight: bold; text-decoration: none;">+3</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -6 z^6 a^{-8} +<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<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;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} + a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-7} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>3 z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<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;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>11 z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-6} +<ins style="font-weight: bold; text-decoration: none;">11</ins> z^4 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} -<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} + a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">z^{</ins>-<ins style="font-weight: bold; text-decoration: none;">2}</ins> <ins style="font-weight: bold; text-decoration: none;">-</ins>3 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-5} <ins style="font-weight: bold; text-decoration: none;">-</ins>2 z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +4 z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -<ins style="font-weight: bold; text-decoration: none;">9</ins> z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">6</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>2 a^{-<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;">1}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +<ins style="font-weight: bold; text-decoration: none;">13 </ins>z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 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;">-8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+z^7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">2 z^5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">3 z^</ins>3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">6 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -2 a^{-3} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+z^6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;"> -5</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-2}<ins style="font-weight: bold; text-decoration: none;"> +8</ins> z<ins style="font-weight: bold; text-decoration: none;">^2 a</ins>^{-2} + a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} z^{-2} -<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^{-2} &lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10a133/Kauffman_Polynomial&diff=71936&oldid=prev 2005-08-26T11:11:49Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;z^9 a^{-5} +z^9 a^{-7} +z^8 a^{-4} +4 z^8 a^{-6} +3 z^8 a^{-8} +z^7 a^{-3} -2 z^7 a^{-5} +z^7 a^{-7} +4 z^7 a^{-9} +z^6 a^{-2} -11 z^6 a^{-6} -6 z^6 a^{-8} +4 z^6 a^{-10} -2 z^5 a^{-3} +4 z^5 a^{-5} -3 z^5 a^{-7} -6 z^5 a^{-9} +3 z^5 a^{-11} -5 z^4 a^{-2} -9 z^4 a^{-4} +11 z^4 a^{-6} +9 z^4 a^{-8} -5 z^4 a^{-10} +z^4 a^{-12} -3 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} +4 z^3 a^{-9} -4 z^3 a^{-11} +8 z^2 a^{-2} +13 z^2 a^{-4} -2 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +6 z a^{-3} +6 z a^{-5} -5 a^{-2} -8 a^{-4} -3 a^{-6} + a^{-8} -2 a^{-3} z^{-1} -2 a^{-5} z^{-1} + a^{-2} z^{-2} +2 a^{-4} z^{-2} + a^{-6} z^{-2} &lt;/math&gt;</div>

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