https://katlas.org/index.php?action=history&feed=atom&title=Data%3A10_128%2FKauffman_Polynomial
Data:10 128/Kauffman Polynomial - Revision history
2026-10-06T00:33:14Z
Revision history for this page on the wiki
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https://katlas.org/index.php?title=Data:10_128/Kauffman_Polynomial&diff=61438&oldid=prev
ScottDataRobot at 22:15, 26 August 2005
2005-08-26T22:15:36Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:15, 26 August 2005</td>
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<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><math>z^8 a^{-8} +z^8 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>+z^7 a^{-7} +2 z^7 a^{-9} +z^7 a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>+z^6 a^{-6} -5 z^6 a^{-8} -6 z^6 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>-4 z^5 a^{-7} -10 z^5 a^{-9} -6 z^5 a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>-5 z^4 a^{-6} +7 z^4 a^{-8} +12 z^4 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>+2 z^3 a^{-7} +13 z^3 a^{-9} +11 z^3 a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>+6 z^2 a^{-6} -5 z^2 a^{-8} -11 z^2 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>+z a^{-7} -5 z a^{-9} -6 z a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>-2 a^{-6} +2 a^{-8} +4 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>+ a^{-12} <del style="font-weight: bold; text-decoration: none;">}</del></math></div></td>
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<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><math>z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-7} +2 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-6} -5 z^6 a^{-8} -6 z^6 a^{-10} -4 z^5 a^{-7} -10 z^5 a^{-9} -6 z^5 a^{-11} -5 z^4 a^{-6} +7 z^4 a^{-8} +12 z^4 a^{-10} +2 z^3 a^{-7} +13 z^3 a^{-9} +11 z^3 a^{-11} +6 z^2 a^{-6} -5 z^2 a^{-8} -11 z^2 a^{-10} +z a^{-7} -5 z a^{-9} -6 z a^{-11} -2 a^{-6} +2 a^{-8} +4 a^{-10} + a^{-12} </math></div></td>
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ScottDataRobot
https://katlas.org/index.php?title=Data:10_128/Kauffman_Polynomial&diff=1867&oldid=prev
ScottDataRobot at 03:46, 25 August 2005
2005-08-25T03:46:45Z
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<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><math><del style="font-weight: bold; text-decoration: none;">\frac{</del>z^8<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^8<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^7<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^7<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^7<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>5 z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>4 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>10 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>5 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>7 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>12 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>13 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>11 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>5 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>11 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>5 z<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>4<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}+<del style="font-weight: bold; text-decoration: none;">\frac{1}{</del>a^{12}}</math></div></td>
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<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><math>z^8<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^8<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+z^7<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2 z^7<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^7<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+z^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>-5 z^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>-6 z^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}-4 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>-10 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>-6 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}-5 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>+7 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>+12 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+2 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>+13 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>+11 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+6 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>-5 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>-11 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>-5 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>-6 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}-2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>+4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>12}<ins style="font-weight: bold; text-decoration: none;"> </ins>}</math></div></td>
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ScottDataRobot
https://katlas.org/index.php?title=Data:10_128/Kauffman_Polynomial&diff=1557&oldid=prev
ScottDataRobot at 15:01, 24 August 2005
2005-08-24T15:01:43Z
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<p><b>New page</b></p><div><math>\frac{z^8}{a^8}+\frac{z^8}{a^{10}}+\frac{z^7}{a^7}+\frac{2 z^7}{a^9}+\frac{z^7}{a^{11}}+\frac{z^6}{a^6}-\frac{5 z^6}{a^8}-\frac{6 z^6}{a^{10}}-\frac{4 z^5}{a^7}-\frac{10 z^5}{a^9}-\frac{6 z^5}{a^{11}}-\frac{5 z^4}{a^6}+\frac{7 z^4}{a^8}+\frac{12 z^4}{a^{10}}+\frac{2 z^3}{a^7}+\frac{13 z^3}{a^9}+\frac{11 z^3}{a^{11}}+\frac{6 z^2}{a^6}-\frac{5 z^2}{a^8}-\frac{11 z^2}{a^{10}}+\frac{z}{a^7}-\frac{5 z}{a^9}-\frac{6 z}{a^{11}}-\frac{2}{a^6}+\frac{2}{a^8}+\frac{4}{a^{10}}+\frac{1}{a^{12}}</math></div>
ScottDataRobot