K13n3959
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Polynomial invariants
| Jones polynomial | Data:K13n3959/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-33 t+41-33 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3959/Conway Polynomial |
| Determinant | 157 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +4 z^6-2 a^2 z^4-z^4 a^{-2} +5 z^4-a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+10 a z^9+13 z^9 a^{-1} +3 z^9 a^{-3} +16 a^2 z^8+10 z^8 a^{-2} +z^8 a^{-4} +25 z^8+12 a^3 z^7-9 z^7 a^{-1} +3 z^7 a^{-3} +5 a^4 z^6-25 a^2 z^6-19 z^6 a^{-2} +6 z^6 a^{-4} -55 z^6+a^5 z^5-15 a^3 z^5-25 a z^5-20 z^5 a^{-1} -8 z^5 a^{-3} +3 z^5 a^{-5} -3 a^4 z^4+12 a^2 z^4+5 z^4 a^{-2} -10 z^4 a^{-4} +30 z^4+5 a^3 z^3+16 a z^3+18 z^3 a^{-1} +3 z^3 a^{-3} -4 z^3 a^{-5} -3 a^2 z^2+4 z^2 a^{-2} +4 z^2 a^{-4} -3 z^2-a^3 z-3 a z-3 z a^{-1} +z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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