K13n1568
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Polynomial invariants
| Jones polynomial | Data:K13n1568/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-24 t+29-24 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1568/Conway Polynomial |
| Determinant | 117 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -z^6+9 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4-a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} -a^2+3 a^{-2} -2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}+6 z^9 a^{-3} +6 z^9 a^{-5} -9 z^8 a^{-2} -6 z^8 a^{-4} +4 z^8 a^{-6} +z^8+5 a z^7+5 z^7 a^{-1} -19 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+3 z^6 a^{-2} -9 z^6 a^{-4} -13 z^6 a^{-6} -6 a z^5-15 z^5 a^{-1} +4 z^5 a^{-3} +10 z^5 a^{-5} -3 z^5 a^{-7} +5 a^2 z^4-6 z^4 a^{-2} +8 z^4 a^{-4} +11 z^4 a^{-6} +2 z^4+3 a^3 z^3+9 a z^3+11 z^3 a^{-1} +5 z^3 a^{-3} +3 z^3 a^{-5} +3 z^3 a^{-7} -3 a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2-2 a^3 z-4 a z-3 z a^{-1} -z a^{-7} +a^2-3 a^{-2} -2 a^{-4} +1 }[/math] |
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