K13n3000
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Polynomial invariants
| Jones polynomial | Data:K13n3000/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+4 t^3-7 t+11-7 t^{-1} +4 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3000/Conway Polynomial |
| Determinant | 9 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +9 z^8 a^{-6} -z^8 a^{-8} -7 z^6 a^{-4} +30 z^6 a^{-6} -8 z^6 a^{-8} -15 z^4 a^{-4} +48 z^4 a^{-6} -20 z^4 a^{-8} +z^4 a^{-10} -11 z^2 a^{-4} +35 z^2 a^{-6} -20 z^2 a^{-8} +2 z^2 a^{-10} - a^{-4} +7 a^{-6} -6 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +4 z^{10} a^{-6} +2 z^{10} a^{-8} +z^9 a^{-3} -5 z^9 a^{-5} -5 z^9 a^{-7} +z^9 a^{-9} -15 z^8 a^{-4} -31 z^8 a^{-6} -16 z^8 a^{-8} -7 z^7 a^{-3} -2 z^7 a^{-7} -8 z^7 a^{-9} +z^7 a^{-11} +37 z^6 a^{-4} +77 z^6 a^{-6} +41 z^6 a^{-8} +3 z^6 a^{-10} +2 z^6 a^{-12} +15 z^5 a^{-3} +20 z^5 a^{-5} +28 z^5 a^{-7} +22 z^5 a^{-9} +z^5 a^{-13} -39 z^4 a^{-4} -82 z^4 a^{-6} -45 z^4 a^{-8} -8 z^4 a^{-10} -6 z^4 a^{-12} -11 z^3 a^{-3} -18 z^3 a^{-5} -27 z^3 a^{-7} -23 z^3 a^{-9} -6 z^3 a^{-11} -3 z^3 a^{-13} +17 z^2 a^{-4} +43 z^2 a^{-6} +26 z^2 a^{-8} +4 z^2 a^{-10} +4 z^2 a^{-12} +z a^{-3} +2 z a^{-5} +6 z a^{-7} +6 z a^{-9} +3 z a^{-11} +2 z a^{-13} - a^{-4} -7 a^{-6} -6 a^{-8} - a^{-10} }[/math] |
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