K13a3206
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Polynomial invariants
| Jones polynomial | Data:K13a3206/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+11 t^3-17 t^2+22 t-23+22 t^{-1} -17 t^{-2} +11 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a3206/Conway Polynomial |
| Determinant | 135 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -2 z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-2} -14 z^6 a^{-4} +25 z^6 a^{-6} -6 z^6 a^{-8} +6 z^4 a^{-2} -35 z^4 a^{-4} +40 z^4 a^{-6} -12 z^4 a^{-8} +12 z^2 a^{-2} -38 z^2 a^{-4} +34 z^2 a^{-6} -10 z^2 a^{-8} +8 a^{-2} -16 a^{-4} +12 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +7 z^{11} a^{-5} +5 z^{11} a^{-7} +z^{10} a^{-2} +z^{10} a^{-4} +11 z^{10} a^{-6} +11 z^{10} a^{-8} -13 z^9 a^{-3} -35 z^9 a^{-5} -7 z^9 a^{-7} +15 z^9 a^{-9} -8 z^8 a^{-2} -37 z^8 a^{-4} -83 z^8 a^{-6} -39 z^8 a^{-8} +15 z^8 a^{-10} +28 z^7 a^{-3} +39 z^7 a^{-5} -55 z^7 a^{-7} -53 z^7 a^{-9} +13 z^7 a^{-11} +25 z^6 a^{-2} +115 z^6 a^{-4} +166 z^6 a^{-6} +25 z^6 a^{-8} -41 z^6 a^{-10} +10 z^6 a^{-12} -19 z^5 a^{-3} +35 z^5 a^{-5} +139 z^5 a^{-7} +53 z^5 a^{-9} -26 z^5 a^{-11} +6 z^5 a^{-13} -38 z^4 a^{-2} -139 z^4 a^{-4} -129 z^4 a^{-6} +13 z^4 a^{-8} +24 z^4 a^{-10} -14 z^4 a^{-12} +3 z^4 a^{-14} -6 z^3 a^{-3} -73 z^3 a^{-5} -107 z^3 a^{-7} -28 z^3 a^{-9} +8 z^3 a^{-11} -3 z^3 a^{-13} +z^3 a^{-15} +28 z^2 a^{-2} +74 z^2 a^{-4} +49 z^2 a^{-6} -6 z^2 a^{-8} -5 z^2 a^{-10} +4 z^2 a^{-12} +8 z a^{-3} +28 z a^{-5} +30 z a^{-7} +10 z a^{-9} -8 a^{-2} -16 a^{-4} -12 a^{-6} -3 a^{-8} }[/math] |
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