K13n2450
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Polynomial invariants
| Jones polynomial | Data:K13n2450/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+t^3+4 t^2-11 t+15-11 t^{-1} +4 t^{-2} + t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2450/Conway Polynomial |
| Determinant | 41 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} +6 z^4 a^{-2} -20 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} +10 z^2 a^{-2} -20 z^2 a^{-4} +7 z^2 a^{-6} +z^2 a^{-8} +5 a^{-2} -7 a^{-4} +3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} -9 z^9 a^{-3} -9 z^9 a^{-5} -9 z^8 a^{-2} -20 z^8 a^{-4} -9 z^8 a^{-6} +2 z^8 a^{-8} +26 z^7 a^{-3} +25 z^7 a^{-5} +4 z^7 a^{-7} +5 z^7 a^{-9} +28 z^6 a^{-2} +65 z^6 a^{-4} +32 z^6 a^{-6} +5 z^6 a^{-10} -28 z^5 a^{-3} -19 z^5 a^{-5} -3 z^5 a^{-7} -9 z^5 a^{-9} +3 z^5 a^{-11} -38 z^4 a^{-2} -84 z^4 a^{-4} -39 z^4 a^{-6} -z^4 a^{-8} -7 z^4 a^{-10} +z^4 a^{-12} +8 z^3 a^{-3} -4 z^3 a^{-5} -z^3 a^{-7} +8 z^3 a^{-9} -3 z^3 a^{-11} +23 z^2 a^{-2} +43 z^2 a^{-4} +17 z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +2 z a^{-3} +4 z a^{-5} -2 z a^{-9} -5 a^{-2} -7 a^{-4} -3 a^{-6} }[/math] |
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