K13n1118
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Polynomial invariants
| Jones polynomial | Data:K13n1118/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2+t-7+ t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1118/Conway Polynomial |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -3 z^4 a^{-4} -5 z^4 a^{-6} +3 z^2 a^{-2} +z^2 a^{-4} -6 z^2 a^{-6} +3 z^2 a^{-8} +2 z^2 a^{-10} + a^{-2} +2 a^{-4} -4 a^{-6} +2 a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^{10} a^{-12} +z^9 a^{-5} +2 z^9 a^{-7} -4 z^9 a^{-9} -4 z^9 a^{-11} +z^9 a^{-13} +2 z^8 a^{-4} +3 z^8 a^{-6} -13 z^8 a^{-8} -28 z^8 a^{-10} -14 z^8 a^{-12} +2 z^7 a^{-3} -3 z^7 a^{-5} -14 z^7 a^{-7} -7 z^7 a^{-9} -5 z^7 a^{-11} -7 z^7 a^{-13} +z^6 a^{-2} -7 z^6 a^{-4} -18 z^6 a^{-6} +17 z^6 a^{-8} +59 z^6 a^{-10} +32 z^6 a^{-12} -7 z^5 a^{-3} +22 z^5 a^{-7} +28 z^5 a^{-9} +29 z^5 a^{-11} +16 z^5 a^{-13} -4 z^4 a^{-2} +5 z^4 a^{-4} +29 z^4 a^{-6} +z^4 a^{-8} -49 z^4 a^{-10} -30 z^4 a^{-12} +4 z^3 a^{-3} -z^3 a^{-5} -9 z^3 a^{-7} -18 z^3 a^{-9} -28 z^3 a^{-11} -14 z^3 a^{-13} +4 z^2 a^{-2} -5 z^2 a^{-4} -19 z^2 a^{-6} -5 z^2 a^{-8} +16 z^2 a^{-10} +11 z^2 a^{-12} +z a^{-7} +3 z a^{-9} +6 z a^{-11} +4 z a^{-13} - a^{-2} +2 a^{-4} +4 a^{-6} +2 a^{-8} - a^{-10} - a^{-12} }[/math] |
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