K13n3061
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Polynomial invariants
| Jones polynomial | Data:K13n3061/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+5 t^3-3 t^2-4 t+9-4 t^{-1} -3 t^{-2} +5 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3061/Conway Polynomial |
| Determinant | 3 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -z^8 a^{-6} +z^6 a^{-2} -7 z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +6 z^4 a^{-2} -16 z^4 a^{-4} -9 z^4 a^{-6} +6 z^4 a^{-8} +10 z^2 a^{-2} -16 z^2 a^{-4} -3 z^2 a^{-6} +7 z^2 a^{-8} -z^2 a^{-10} +5 a^{-2} -6 a^{-4} + a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10} a^{-6} -8 z^9 a^{-3} -6 z^9 a^{-5} +2 z^9 a^{-7} -9 z^8 a^{-2} -25 z^8 a^{-4} -14 z^8 a^{-6} +2 z^8 a^{-8} +21 z^7 a^{-3} +6 z^7 a^{-5} -13 z^7 a^{-7} +2 z^7 a^{-9} +29 z^6 a^{-2} +71 z^6 a^{-4} +28 z^6 a^{-6} -13 z^6 a^{-8} +z^6 a^{-10} -20 z^5 a^{-3} +13 z^5 a^{-5} +20 z^5 a^{-7} -12 z^5 a^{-9} +z^5 a^{-11} -41 z^4 a^{-2} -84 z^4 a^{-4} -18 z^4 a^{-6} +20 z^4 a^{-8} -4 z^4 a^{-10} +z^4 a^{-12} +3 z^3 a^{-3} -21 z^3 a^{-5} -4 z^3 a^{-7} +17 z^3 a^{-9} -3 z^3 a^{-11} +25 z^2 a^{-2} +39 z^2 a^{-4} +3 z^2 a^{-6} -6 z^2 a^{-8} +2 z^2 a^{-10} -3 z^2 a^{-12} +3 z a^{-3} +5 z a^{-5} -2 z a^{-7} -4 z a^{-9} -5 a^{-2} -6 a^{-4} - a^{-6} + a^{-8} }[/math] |
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