K13n3805
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Polynomial invariants
| Jones polynomial | Data:K13n3805/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-19 t+23-19 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3805/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^8 a^{-6} +z^6 a^{-2} -9 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} +6 z^4 a^{-2} -25 z^4 a^{-4} +15 z^4 a^{-6} -3 z^4 a^{-8} +11 z^2 a^{-2} -27 z^2 a^{-4} +17 z^2 a^{-6} -3 z^2 a^{-8} +6 a^{-2} -10 a^{-4} +6 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10} a^{-8} -9 z^9 a^{-3} -9 z^9 a^{-5} +4 z^9 a^{-7} +4 z^9 a^{-9} -9 z^8 a^{-2} -22 z^8 a^{-4} -14 z^8 a^{-6} +6 z^8 a^{-8} +7 z^8 a^{-10} +25 z^7 a^{-3} +24 z^7 a^{-5} -7 z^7 a^{-7} +z^7 a^{-9} +7 z^7 a^{-11} +28 z^6 a^{-2} +75 z^6 a^{-4} +49 z^6 a^{-6} -10 z^6 a^{-8} -8 z^6 a^{-10} +4 z^6 a^{-12} -25 z^5 a^{-3} -10 z^5 a^{-5} +15 z^5 a^{-7} -12 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -39 z^4 a^{-2} -100 z^4 a^{-4} -60 z^4 a^{-6} +4 z^4 a^{-8} -3 z^4 a^{-10} -6 z^4 a^{-12} +5 z^3 a^{-3} -15 z^3 a^{-5} -15 z^3 a^{-7} +10 z^3 a^{-9} +4 z^3 a^{-11} -z^3 a^{-13} +25 z^2 a^{-2} +54 z^2 a^{-4} +29 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2 a^{-10} +2 z^2 a^{-12} +3 z a^{-3} +8 z a^{-5} +4 z a^{-7} -2 z a^{-9} -z a^{-11} -6 a^{-2} -10 a^{-4} -6 a^{-6} - a^{-8} }[/math] |
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