K13n3593
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Polynomial invariants
| Jones polynomial | Data:K13n3593/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-45 t+59-45 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3593/Conway Polynomial |
| Determinant | 193 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} +z^4 a^{-6} -5 z^4 a^{-8} +3 z^4 a^{-10} +3 z^2 a^{-4} +5 z^2 a^{-6} -7 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-9} +3 z^{11} a^{-11} +8 z^{10} a^{-8} +17 z^{10} a^{-10} +9 z^{10} a^{-12} +8 z^9 a^{-7} +11 z^9 a^{-9} +13 z^9 a^{-11} +10 z^9 a^{-13} +4 z^8 a^{-6} -17 z^8 a^{-8} -47 z^8 a^{-10} -21 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-5} -17 z^7 a^{-7} -51 z^7 a^{-9} -66 z^7 a^{-11} -32 z^7 a^{-13} +z^7 a^{-15} +25 z^6 a^{-8} +42 z^6 a^{-10} +3 z^6 a^{-12} -14 z^6 a^{-14} +5 z^5 a^{-5} +30 z^5 a^{-7} +72 z^5 a^{-9} +77 z^5 a^{-11} +28 z^5 a^{-13} -2 z^5 a^{-15} +3 z^4 a^{-4} -2 z^4 a^{-6} -24 z^4 a^{-8} -18 z^4 a^{-10} +9 z^4 a^{-12} +8 z^4 a^{-14} -5 z^3 a^{-5} -26 z^3 a^{-7} -47 z^3 a^{-9} -33 z^3 a^{-11} -7 z^3 a^{-13} -4 z^2 a^{-4} +5 z^2 a^{-6} +14 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +9 z a^{-7} +11 z a^{-9} +3 z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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