K13n2985
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Polynomial invariants
| Jones polynomial | Data:K13n2985/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+4 t^2-3 t+3-3 t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2985/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+11 z^4 a^{-2} -4 z^4 a^{-4} -2 a^2 z^2+7 z^2 a^{-2} -4 z^2 a^{-4} +z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +a z^9+z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +2 a^2 z^8-5 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} +z^8+a^3 z^7-5 a z^7-7 z^7 a^{-1} -14 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -11 a^2 z^6+4 z^6 a^{-2} -10 z^6 a^{-4} -13 z^6 a^{-6} -10 z^6-5 a^3 z^5+a z^5+7 z^5 a^{-1} +14 z^5 a^{-3} +9 z^5 a^{-5} -4 z^5 a^{-7} +15 a^2 z^4-z^4 a^{-2} +11 z^4 a^{-4} +14 z^4 a^{-6} +17 z^4+6 a^3 z^3+8 a z^3+3 z^3 a^{-1} -3 z^3 a^{-3} +4 z^3 a^{-7} -7 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} -4 z^2 a^{-6} -8 z^2-2 a^3 z-4 a z-3 z a^{-1} -z a^{-3} -z a^{-5} -z a^{-7} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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