K13n3954
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Polynomial invariants
| Jones polynomial | Data:K13n3954/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+10 t^2-10 t+9-10 t^{-1} +10 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3954/Conway Polynomial |
| Determinant | 61 |
| 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} +7 z^4 a^{-4} -4 z^4 a^{-6} +3 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +4 z^9 a^{-3} +5 z^9 a^{-5} +z^9 a^{-7} +4 z^8 a^{-2} +4 z^8 a^{-4} +z^7 a^{-1} -14 z^7 a^{-3} -16 z^7 a^{-5} -z^7 a^{-7} -16 z^6 a^{-2} -25 z^6 a^{-4} -7 z^6 a^{-6} +2 z^6 a^{-8} -3 z^5 a^{-1} +10 z^5 a^{-3} +12 z^5 a^{-5} -z^5 a^{-7} +16 z^4 a^{-2} +24 z^4 a^{-4} +7 z^4 a^{-6} -z^4 a^{-8} +2 z^3 a^{-1} -z^3 a^{-3} -5 z^3 a^{-5} +z^3 a^{-7} +3 z^3 a^{-9} -z^2 a^{-2} -4 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} +z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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