K13n649
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Polynomial invariants
| Jones polynomial | Data:K13n649/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+12 t^2-18 t+21-18 t^{-1} +12 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n649/Conway Polynomial |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} -z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} +2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +4 z^9 a^{-3} +7 z^9 a^{-5} +3 z^9 a^{-7} +4 z^8 a^{-2} +10 z^8 a^{-4} +9 z^8 a^{-6} +3 z^8 a^{-8} +z^7 a^{-1} -9 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-9} -15 z^6 a^{-2} -42 z^6 a^{-4} -29 z^6 a^{-6} -2 z^6 a^{-8} -3 z^5 a^{-1} -4 z^5 a^{-3} -14 z^5 a^{-5} -9 z^5 a^{-7} +4 z^5 a^{-9} +17 z^4 a^{-2} +39 z^4 a^{-4} +21 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4 a^{-10} +3 z^3 a^{-1} +12 z^3 a^{-3} +17 z^3 a^{-5} +6 z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} -4 z^2 a^{-2} -9 z^2 a^{-4} -6 z^2 a^{-6} -2 z^2 a^{-8} -z^2 a^{-10} -z a^{-1} -2 z a^{-3} -2 z a^{-5} -z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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