K13a1339
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Polynomial invariants
| Jones polynomial | Data:K13a1339/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+26 t^2-62 t+81-62 t^{-1} +26 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1339/Conway Polynomial |
| Determinant | 265 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}-2 a^{10}-z^6 a^8+2 z^4 a^8+5 z^2 a^8+2 a^8-2 z^6 a^6-2 z^4 a^6+z^2 a^6+a^6-z^6 a^4-z^4 a^4-z^2 a^4-a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-12 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+7 z^9 a^{13}-18 z^7 a^{13}+12 z^5 a^{13}-2 z^3 a^{13}+7 z^{10} a^{12}-10 z^8 a^{12}-8 z^6 a^{12}+11 z^4 a^{12}-2 z^2 a^{12}+4 z^{11} a^{11}+7 z^9 a^{11}-36 z^7 a^{11}+29 z^5 a^{11}-5 z^3 a^{11}-2 z a^{11}+z^{12} a^{10}+15 z^{10} a^{10}-35 z^8 a^{10}+18 z^6 a^{10}+4 z^4 a^{10}-7 z^2 a^{10}+2 a^{10}+8 z^{11} a^9-31 z^7 a^9+35 z^5 a^9-10 z^3 a^9-z a^9+z^{12} a^8+15 z^{10} a^8-34 z^8 a^8+28 z^6 a^8-4 z^4 a^8-5 z^2 a^8+2 a^8+4 z^{11} a^7+7 z^9 a^7-27 z^7 a^7+33 z^5 a^7-16 z^3 a^7+2 z a^7+7 z^{10} a^6-8 z^8 a^6+6 z^6 a^6-6 z^4 a^6+4 z^2 a^6-a^6+7 z^9 a^5-10 z^7 a^5+5 z^5 a^5-z^3 a^5-z a^5+5 z^8 a^4-7 z^6 a^4-z^4 a^4+4 z^2 a^4-a^4+3 z^7 a^3-7 z^5 a^3+5 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math] |
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