K13n3533
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Polynomial invariants
| Jones polynomial | Data:K13n3533/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-25 t+29-25 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3533/Conway Polynomial |
| Determinant | 109 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-3 a^{10}+3 z^4 a^8+7 z^2 a^8+3 a^8-z^6 a^6-z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-2 z^4 a^4+z^4 a^2+2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-9 z^3 a^{13}+5 z a^{13}+z^8 a^{12}-4 z^4 a^{12}+2 z^9 a^{11}-4 z^7 a^{11}+3 z^5 a^{11}-2 z^3 a^{11}-z a^{11}+2 z^{10} a^{10}-4 z^8 a^{10}+2 z^6 a^{10}+7 z^4 a^{10}-9 z^2 a^{10}+3 a^{10}+z^{11} a^9-z^7 a^9-4 z^5 a^9+17 z^3 a^9-8 z a^9+5 z^{10} a^8-17 z^8 a^8+28 z^6 a^8-16 z^4 a^8+3 z^2 a^8+3 a^8+z^{11} a^7+2 z^9 a^7-10 z^7 a^7+15 z^5 a^7-4 z^3 a^7-2 z a^7+3 z^{10} a^6-8 z^8 a^6+15 z^6 a^6-19 z^4 a^6+9 z^2 a^6-a^6+4 z^9 a^5-10 z^7 a^5+10 z^5 a^5-8 z^3 a^5+4 z^8 a^4-10 z^6 a^4+5 z^4 a^4-z^2 a^4+3 z^7 a^3-9 z^5 a^3+6 z^3 a^3+z^6 a^2-3 z^4 a^2+2 z^2 a^2 }[/math] |
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