K13n1719
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Polynomial invariants
| Jones polynomial | Data:K13n1719/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+9 t^2-11 t+11-11 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1719/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-4} +13 z^4 a^{-6} -5 z^4 a^{-8} -z^2 a^{-4} +13 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} -4 z^8 a^{-6} -3 z^8 a^{-8} +z^8 a^{-10} -2 z^7 a^{-5} -10 z^7 a^{-7} -8 z^7 a^{-9} +4 z^6 a^{-4} +16 z^6 a^{-6} +12 z^6 a^{-8} +z^5 a^{-3} +6 z^5 a^{-5} +24 z^5 a^{-7} +23 z^5 a^{-9} +4 z^5 a^{-11} -9 z^4 a^{-4} -27 z^4 a^{-6} -18 z^4 a^{-8} +z^4 a^{-10} +z^4 a^{-12} -2 z^3 a^{-3} -11 z^3 a^{-5} -27 z^3 a^{-7} -24 z^3 a^{-9} -6 z^3 a^{-11} +3 z^2 a^{-4} +18 z^2 a^{-6} +16 z^2 a^{-8} -z^2 a^{-12} +z a^{-3} +4 z a^{-5} +11 z a^{-7} +9 z a^{-9} +z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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