K13n3042
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Polynomial invariants
| Jones polynomial | Data:K13n3042/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-18 t+21-18 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3042/Conway Polynomial |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+2 z^4 a^{10}+5 z^2 a^{10}+3 a^{10}-z^6 a^8-3 z^4 a^8-4 z^2 a^8-3 a^8+3 z^4 a^6+7 z^2 a^6+3 a^6+z^4 a^4+2 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+7 z^3 a^{15}-3 z a^{15}+2 z^8 a^{14}-8 z^6 a^{14}+7 z^4 a^{14}-z^2 a^{14}+3 z^9 a^{13}-12 z^7 a^{13}+13 z^5 a^{13}-8 z^3 a^{13}+3 z a^{13}+3 z^{10} a^{12}-13 z^8 a^{12}+21 z^6 a^{12}-24 z^4 a^{12}+13 z^2 a^{12}-2 a^{12}+z^{11} a^{11}+z^9 a^{11}-19 z^7 a^{11}+38 z^5 a^{11}-31 z^3 a^{11}+7 z a^{11}+5 z^{10} a^{10}-24 z^8 a^{10}+44 z^6 a^{10}-38 z^4 a^{10}+15 z^2 a^{10}-3 a^{10}+z^{11} a^9-z^9 a^9-8 z^7 a^9+21 z^5 a^9-13 z^3 a^9+2 z a^9+2 z^{10} a^8-9 z^8 a^8+19 z^6 a^8-18 z^4 a^8+13 z^2 a^8-3 a^8+z^9 a^7-2 z^7 a^7+3 z^5 a^7+z a^7+4 z^6 a^6-10 z^4 a^6+10 z^2 a^6-3 a^6+2 z^5 a^5-3 z^3 a^5+z^4 a^4-2 z^2 a^4 }[/math] |
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