K13n4085
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Polynomial invariants
| Jones polynomial | Data:K13n4085/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+3 t^2-t+1- t^{-1} +3 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4085/Conway Polynomial |
| Determinant | 17 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +6 z^6 a^{-4} -4 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-8} -2 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -3 z^2 a^{-8} +2 a^{-2} - a^{-4} + a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^9 a^{-3} -2 z^9 a^{-7} +3 z^8 a^{-2} +3 z^8 a^{-4} -2 z^8 a^{-6} -2 z^8 a^{-8} +z^7 a^{-1} -9 z^7 a^{-3} +2 z^7 a^{-5} +13 z^7 a^{-7} +z^7 a^{-9} -15 z^6 a^{-2} -14 z^6 a^{-4} +13 z^6 a^{-6} +13 z^6 a^{-8} +z^6 a^{-10} -4 z^5 a^{-1} +8 z^5 a^{-3} -9 z^5 a^{-5} -27 z^5 a^{-7} -6 z^5 a^{-9} +19 z^4 a^{-2} +15 z^4 a^{-4} -25 z^4 a^{-6} -26 z^4 a^{-8} -5 z^4 a^{-10} +3 z^3 a^{-1} +z^3 a^{-3} +9 z^3 a^{-5} +22 z^3 a^{-7} +11 z^3 a^{-9} -4 z^2 a^{-2} -2 z^2 a^{-4} +12 z^2 a^{-6} +17 z^2 a^{-8} +7 z^2 a^{-10} +z a^{-3} -3 z a^{-5} -9 z a^{-7} -5 z a^{-9} -2 a^{-2} - a^{-4} - a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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