K13n2474
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Polynomial invariants
| Jones polynomial | Data:K13n2474/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-38 t+47-38 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2474/Conway Polynomial |
| Determinant | 165 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-3 a^{10}+4 z^4 a^8+9 z^2 a^8+5 a^8-2 z^6 a^6-5 z^4 a^6-5 z^2 a^6-3 a^6-z^6 a^4+4 z^2 a^4+2 a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-7 z^3 a^{13}+4 z a^{13}+z^8 a^{12}+2 z^6 a^{12}-5 z^4 a^{12}+z^2 a^{12}+2 z^9 a^{11}+z^7 a^{11}-2 z^5 a^{11}-3 z^3 a^{11}+z a^{11}+2 z^{10} a^{10}+4 z^8 a^{10}-13 z^6 a^{10}+19 z^4 a^{10}-15 z^2 a^{10}+3 a^{10}+z^{11} a^9+7 z^9 a^9-13 z^7 a^9+7 z^5 a^9+4 z^3 a^9-2 z a^9+7 z^{10} a^8-4 z^8 a^8-19 z^6 a^8+37 z^4 a^8-22 z^2 a^8+5 a^8+z^{11} a^7+14 z^9 a^7-37 z^7 a^7+33 z^5 a^7-10 z^3 a^7+2 z a^7+5 z^{10} a^6+z^8 a^6-23 z^6 a^6+27 z^4 a^6-14 z^2 a^6+3 a^6+9 z^9 a^5-19 z^7 a^5+13 z^5 a^5-7 z^3 a^5+z a^5+8 z^8 a^4-18 z^6 a^4+12 z^4 a^4-7 z^2 a^4+2 a^4+4 z^7 a^3-8 z^5 a^3+3 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
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