K13n2872
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Polynomial invariants
| Jones polynomial | Data:K13n2872/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+3 t-5+3 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2872/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -6 z^4 a^{-4} +z^4 a^{-6} +2 z^2 a^{-2} -9 z^2 a^{-4} +4 z^2 a^{-6} +z^2+2 a^{-2} -4 a^{-4} +2 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z^9 a^{-3} +z^9 a^{-7} -z^8 a^{-2} -2 z^8 a^{-4} +z^8 a^{-8} +6 z^7 a^{-3} -2 z^7 a^{-5} -8 z^7 a^{-7} +7 z^6 a^{-2} +13 z^6 a^{-4} -z^6 a^{-6} -7 z^6 a^{-8} +z^5 a^{-1} -8 z^5 a^{-3} +11 z^5 a^{-5} +20 z^5 a^{-7} -12 z^4 a^{-2} -24 z^4 a^{-4} +3 z^4 a^{-6} +14 z^4 a^{-8} +z^4-z^3 a^{-1} +z^3 a^{-3} -15 z^3 a^{-5} -17 z^3 a^{-7} +7 z^2 a^{-2} +17 z^2 a^{-4} +z^2 a^{-6} -7 z^2 a^{-8} -2 z^2+2 z a^{-3} +6 z a^{-5} +4 z a^{-7} -2 a^{-2} -4 a^{-4} -2 a^{-6} +1 }[/math] |
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