K13n4250
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Polynomial invariants
| Jones polynomial | Data:K13n4250/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-30 t+37-30 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4250/Conway Polynomial |
| Determinant | 129 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}-z^6 a^8-z^4 a^8+z^2 a^8+a^8-z^6 a^6-z^4 a^6+z^2 a^6+2 z^4 a^4+4 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+4 z^3 a^{15}-z a^{15}+3 z^8 a^{14}-11 z^6 a^{14}+10 z^4 a^{14}-2 z^2 a^{14}+5 z^9 a^{13}-19 z^7 a^{13}+23 z^5 a^{13}-14 z^3 a^{13}+5 z a^{13}+4 z^{10} a^{12}-11 z^8 a^{12}+7 z^6 a^{12}-3 z^4 a^{12}+3 z^2 a^{12}-a^{12}+z^{11} a^{11}+7 z^9 a^{11}-32 z^7 a^{11}+42 z^5 a^{11}-25 z^3 a^{11}+5 z a^{11}+6 z^{10} a^{10}-13 z^8 a^{10}+8 z^6 a^{10}-z^4 a^{10}-3 z^2 a^{10}+z^{11} a^9+4 z^9 a^9-7 z^7 a^9-z^5 a^9+4 z^3 a^9-z a^9+2 z^{10} a^8+3 z^8 a^8-7 z^6 a^8+5 z^4 a^8-3 z^2 a^8+a^8+2 z^9 a^7+6 z^7 a^7-13 z^5 a^7+8 z^3 a^7+2 z^8 a^6+3 z^6 a^6-4 z^4 a^6+z^2 a^6+z^7 a^5+3 z^5 a^5-3 z^3 a^5+3 z^4 a^4-4 z^2 a^4+a^4 }[/math] |
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