K13n2117
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Polynomial invariants
| Jones polynomial | Data:K13n2117/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-12 t+17-12 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2117/Conway Polynomial |
| Determinant | 53 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +z^4-6 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +z^2+a^2-2 a^{-2} +3 a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10}-4 z^9 a^{-1} +4 z^9 a^{-5} -20 z^8 a^{-2} -11 z^8 a^{-4} +3 z^8 a^{-6} -6 z^8+z^7 a^{-1} -17 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} +27 z^6 a^{-2} +2 z^6 a^{-4} -13 z^6 a^{-6} +12 z^6+9 z^5 a^{-1} +28 z^5 a^{-3} +15 z^5 a^{-5} -4 z^5 a^{-7} -a^2 z^4-6 z^4 a^{-2} +15 z^4 a^{-4} +13 z^4 a^{-6} -9 z^4+a z^3-7 z^3 a^{-1} -12 z^3 a^{-3} -z^3 a^{-5} +3 z^3 a^{-7} +3 a^2 z^2-7 z^2 a^{-2} -12 z^2 a^{-4} -5 z^2 a^{-6} +3 z^2-a z+z a^{-3} -z a^{-5} -z a^{-7} -a^2+2 a^{-2} +3 a^{-4} + a^{-6} }[/math] |
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