K13n1822
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Polynomial invariants
| Jones polynomial | Data:K13n1822/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2+2 t-5+2 t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1822/Conway Polynomial |
| Determinant | 3 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} -z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} +z^9 a^{-1} -4 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} -5 z^8 a^{-2} -26 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +3 z^8+3 a z^7-3 z^7 a^{-1} -7 z^7 a^{-3} -18 z^7 a^{-5} -17 z^7 a^{-7} +a^2 z^6+z^6 a^{-2} +42 z^6 a^{-4} +23 z^6 a^{-6} -5 z^6 a^{-8} -12 z^6-11 a z^5-3 z^5 a^{-1} +28 z^5 a^{-3} +46 z^5 a^{-5} +26 z^5 a^{-7} -3 a^2 z^4+7 z^4 a^{-2} -18 z^4 a^{-4} -7 z^4 a^{-6} +6 z^4 a^{-8} +9 z^4+7 a z^3+z^3 a^{-1} -23 z^3 a^{-3} -31 z^3 a^{-5} -14 z^3 a^{-7} +a^2 z^2-4 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-8} -3 z^2+2 z a^{-1} +7 z a^{-3} +7 z a^{-5} +2 z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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