K13n2413
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Polynomial invariants
| Jones polynomial | Data:K13n2413/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+21 t^2-42 t+53-42 t^{-1} +21 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2413/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -3 z^6 a^{-4} -2 z^6 a^{-6} +3 z^4 a^{-2} -12 z^4 a^{-4} -3 z^4 a^{-6} +3 z^4 a^{-8} +9 z^2 a^{-2} -19 z^2 a^{-4} +4 z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} +7 a^{-2} -12 a^{-4} +7 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +9 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^9 a^{-3} +13 z^9 a^{-5} +21 z^9 a^{-7} +11 z^9 a^{-9} -12 z^8 a^{-4} -9 z^8 a^{-6} +17 z^8 a^{-8} +14 z^8 a^{-10} -9 z^7 a^{-3} -51 z^7 a^{-5} -57 z^7 a^{-7} -4 z^7 a^{-9} +11 z^7 a^{-11} +6 z^6 a^{-2} +28 z^6 a^{-4} -13 z^6 a^{-6} -58 z^6 a^{-8} -18 z^6 a^{-10} +5 z^6 a^{-12} +14 z^5 a^{-3} +81 z^5 a^{-5} +64 z^5 a^{-7} -18 z^5 a^{-9} -14 z^5 a^{-11} +z^5 a^{-13} -22 z^4 a^{-2} -52 z^4 a^{-4} +12 z^4 a^{-6} +51 z^4 a^{-8} +5 z^4 a^{-10} -4 z^4 a^{-12} -16 z^3 a^{-3} -66 z^3 a^{-5} -45 z^3 a^{-7} +9 z^3 a^{-9} +4 z^3 a^{-11} +24 z^2 a^{-2} +44 z^2 a^{-4} +9 z^2 a^{-6} -12 z^2 a^{-8} -z^2 a^{-10} +6 z a^{-3} +18 z a^{-5} +15 z a^{-7} +3 z a^{-9} -7 a^{-2} -12 a^{-4} -7 a^{-6} - a^{-8} }[/math] |
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