https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a107%2FKauffman_Polynomial 2026-06-06T08:31:27Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a107/Kauffman_Polynomial&diff=1714658&oldid=prev 2013-02-20T20:23:44Z

<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 16:23, 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>z^4 a^{18}<del style="font-weight: bold; text-decoration: none;">+2</del> z^2<del style="font-weight: bold; text-decoration: none;"> </del>a^{18}<del style="font-weight: bold; text-decoration: none;">-</del>a^{<del style="font-weight: bold; text-decoration: none;">18</del>}<del style="font-weight: bold; text-decoration: none;">-2</del> z^5 a^{17}<del style="font-weight: bold; text-decoration: none;">+3</del> z^3 a^{<del style="font-weight: bold; text-decoration: none;">17</del>}<del style="font-weight: bold; text-decoration: none;">-2</del> z^6<del style="font-weight: bold; text-decoration: none;"> </del>a^{16}<del style="font-weight: bold; text-decoration: none;">+</del>z^4 a^{16}<del style="font-weight: bold; text-decoration: none;">+2</del> z^2 a^{<del style="font-weight: bold; text-decoration: none;">16</del>}<del style="font-weight: bold; text-decoration: none;">-2</del> z^7 a^{15}<del style="font-weight: bold; text-decoration: none;">+2</del> z^5<del style="font-weight: bold; text-decoration: none;"> </del>a^{15}<del style="font-weight: bold; text-decoration: none;">-</del>z^3 a^{<del style="font-weight: bold; text-decoration: none;">15</del>}<del style="font-weight: bold; text-decoration: none;">-2</del> z^8 a^{14}<del style="font-weight: bold; text-decoration: none;">+4</del> z^6 a^{14}<del style="font-weight: bold; text-decoration: none;">-4</del> z^4 a^{<del style="font-weight: bold; text-decoration: none;">14</del>}<del style="font-weight: bold; text-decoration: none;">-2</del> z^9 a^{13}<del style="font-weight: bold; text-decoration: none;">+7</del> z^7 a^{13}<del style="font-weight: bold; text-decoration: none;">-12</del> z^5 a^{13}<del style="font-weight: bold; text-decoration: none;">+12</del> z^3 a^{13}<del style="font-weight: bold; text-decoration: none;">-10</del> z<del style="font-weight: bold; text-decoration: none;"> a^{13}+</del>3 a^{13} z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>z^{10}<del style="font-weight: bold; text-decoration: none;"> </del>a^{12}<del style="font-weight: bold; text-decoration: none;">+</del>z^8 a^{12}<del style="font-weight: bold; text-decoration: none;">+9</del> z^6 a^{12}<del style="font-weight: bold; text-decoration: none;">-24</del> z^4 a^{12}<del style="font-weight: bold; text-decoration: none;">+22</del> z^2 a^{12}<del style="font-weight: bold; text-decoration: none;">-7</del> a^{<del style="font-weight: bold; text-decoration: none;">12</del>}<del style="font-weight: bold; text-decoration: none;">-5</del> z^9 a^{11}<del style="font-weight: bold; text-decoration: none;">+27</del> z^7 a^{11}<del style="font-weight: bold; text-decoration: none;">-55</del> z^5 a^{11}<del style="font-weight: bold; text-decoration: none;">+57</del> z^3 a^{11}<del style="font-weight: bold; text-decoration: none;">-29</del> z<del style="font-weight: bold; text-decoration: none;"> a^{11}+</del>7 a^{11} z^{-1} <del style="font-weight: bold; text-decoration: none;">-z</del>^{10} a^{10}<del style="font-weight: bold; text-decoration: none;">+</del>z^8 a^{10}<del style="font-weight: bold; text-decoration: none;">+12</del> z^6 a^{10}<del style="font-weight: bold; text-decoration: none;">-27</del> z^4 a^{10}<del style="font-weight: bold; text-decoration: none;">+23</del> z^2 a^{10}<del style="font-weight: bold; text-decoration: none;">-7</del> a^<del style="font-weight: bold; text-decoration: none;">{10}-3</del> z^9 a^9<del style="font-weight: bold; text-decoration: none;">+17</del> z^7 a^9<del style="font-weight: bold; text-decoration: none;">-34</del> z^5 a^9<del style="font-weight: bold; text-decoration: none;">+35</del> z^3 a^9<del style="font-weight: bold; text-decoration: none;">-18</del> z<del style="font-weight: bold; text-decoration: none;"> a^9+</del>4 a^9 z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 z^8 a^8<del style="font-weight: bold; text-decoration: none;">+9</del> z^6 a^8<del style="font-weight: bold; text-decoration: none;">-9</del> z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^8<del style="font-weight: bold; text-decoration: none;">+</del>z^2<del style="font-weight: bold; text-decoration: none;"> </del>a^<del style="font-weight: bold; text-decoration: none;">8-</del>z^7 a^7<del style="font-weight: bold; text-decoration: none;">+5</del> z^5 a^7<del style="font-weight: bold; text-decoration: none;">-6</del> z^3<del style="font-weight: bold; text-decoration: none;"> </del>a^7<del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;"> a^7</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^{18} </ins>z^4<ins style="font-weight: bold; text-decoration: none;">-2</ins> a^{18} z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>a^{18}<ins style="font-weight: bold; text-decoration: none;">+2 </ins>a^{<ins style="font-weight: bold; text-decoration: none;">17</ins>} z^5<ins style="font-weight: bold; text-decoration: none;">-3</ins> a^{17} z^3<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{<ins style="font-weight: bold; text-decoration: none;">16</ins>} z^6<ins style="font-weight: bold; text-decoration: none;">-</ins>a^{16}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^4<ins style="font-weight: bold; text-decoration: none;">-2</ins> a^{16} z^<ins style="font-weight: bold; text-decoration: none;">2+</ins>2 a^{<ins style="font-weight: bold; text-decoration: none;">15</ins>} z^7<ins style="font-weight: bold; text-decoration: none;">-2</ins> a^{15} z^5<ins style="font-weight: bold; text-decoration: none;">+</ins>a^{15}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^3<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{<ins style="font-weight: bold; text-decoration: none;">14</ins>} z^8<ins style="font-weight: bold; text-decoration: none;">-4</ins> a^{14} z^6<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^{14} z^4<ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{<ins style="font-weight: bold; text-decoration: none;">13</ins>} z^9<ins style="font-weight: bold; text-decoration: none;">-7</ins> a^{13} z^7<ins style="font-weight: bold; text-decoration: none;">+12</ins> a^{13} z^5<ins style="font-weight: bold; text-decoration: none;">-12</ins> a^{13} z^3<ins style="font-weight: bold; text-decoration: none;">+10</ins> a^{13} z<ins style="font-weight: bold; text-decoration: none;">-</ins>3 a^{13} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+a^{12} </ins>z^{10}<ins style="font-weight: bold; text-decoration: none;">-</ins>a^{12}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^8<ins style="font-weight: bold; text-decoration: none;">-9</ins> a^{12} z^6<ins style="font-weight: bold; text-decoration: none;">+24</ins> a^{12} z^4<ins style="font-weight: bold; text-decoration: none;">-22</ins> a^{12} z^2<ins style="font-weight: bold; text-decoration: none;">+7</ins> a^{12}<ins style="font-weight: bold; text-decoration: none;">+5</ins> a^{<ins style="font-weight: bold; text-decoration: none;">11</ins>} z^9<ins style="font-weight: bold; text-decoration: none;">-27</ins> a^{11} z^7<ins style="font-weight: bold; text-decoration: none;">+55</ins> a^{11} z^5<ins style="font-weight: bold; text-decoration: none;">-57</ins> a^{11} z^3<ins style="font-weight: bold; text-decoration: none;">+29</ins> a^{11} z<ins style="font-weight: bold; text-decoration: none;">-</ins>7 a^{11} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+a</ins>^{10} <ins style="font-weight: bold; text-decoration: none;">z^{10}-</ins>a^{10}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^8<ins style="font-weight: bold; text-decoration: none;">-12</ins> a^{10} z^6<ins style="font-weight: bold; text-decoration: none;">+27</ins> a^{10} z^4<ins style="font-weight: bold; text-decoration: none;">-23</ins> a^{10} z^2<ins style="font-weight: bold; text-decoration: none;">+7</ins> a^{10}<ins style="font-weight: bold; text-decoration: none;">+3</ins> a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z^9<ins style="font-weight: bold; text-decoration: none;">-17</ins> a^9 z^7<ins style="font-weight: bold; text-decoration: none;">+34</ins> a^9 z^5<ins style="font-weight: bold; text-decoration: none;">-35</ins> a^9 z^3<ins style="font-weight: bold; text-decoration: none;">+18</ins> a^9 z<ins style="font-weight: bold; text-decoration: none;">-</ins>4 a^9 z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2<ins style="font-weight: bold; text-decoration: none;"> a^8</ins> z^8<ins style="font-weight: bold; text-decoration: none;">-9</ins> a^8 z^6<ins style="font-weight: bold; text-decoration: none;">+9</ins> a^8 z^4<ins style="font-weight: bold; text-decoration: none;">-</ins>a^8<ins style="font-weight: bold; text-decoration: none;"> </ins>z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">7 </ins>z^7<ins style="font-weight: bold; text-decoration: none;">-5</ins> a^7 z^5<ins style="font-weight: bold; text-decoration: none;">+6</ins> a^7 z^3<ins style="font-weight: bold; text-decoration: none;">-</ins>a^7<ins style="font-weight: bold; text-decoration: none;"> </ins>z&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a107/Kauffman_Polynomial&diff=74512&oldid=prev 2005-08-26T13:53:02Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^4 a^{18}+2 z^2 a^{18}-a^{18}-2 z^5 a^{17}+3 z^3 a^{17}-2 z^6 a^{16}+z^4 a^{16}+2 z^2 a^{16}-2 z^7 a^{15}+2 z^5 a^{15}-z^3 a^{15}-2 z^8 a^{14}+4 z^6 a^{14}-4 z^4 a^{14}-2 z^9 a^{13}+7 z^7 a^{13}-12 z^5 a^{13}+12 z^3 a^{13}-10 z a^{13}+3 a^{13} z^{-1} -z^{10} a^{12}+z^8 a^{12}+9 z^6 a^{12}-24 z^4 a^{12}+22 z^2 a^{12}-7 a^{12}-5 z^9 a^{11}+27 z^7 a^{11}-55 z^5 a^{11}+57 z^3 a^{11}-29 z a^{11}+7 a^{11} z^{-1} -z^{10} a^{10}+z^8 a^{10}+12 z^6 a^{10}-27 z^4 a^{10}+23 z^2 a^{10}-7 a^{10}-3 z^9 a^9+17 z^7 a^9-34 z^5 a^9+35 z^3 a^9-18 z a^9+4 a^9 z^{-1} -2 z^8 a^8+9 z^6 a^8-9 z^4 a^8+z^2 a^8-z^7 a^7+5 z^5 a^7-6 z^3 a^7+z a^7&lt;/math&gt;</div>

ScottDataRobot