K13n2599
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Polynomial invariants
| Jones polynomial | Data:K13n2599/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-3 t^2+t+1+ t^{-1} -3 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2599/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-2} +z^4 a^{-4} -11 z^4+4 a^2 z^2+3 z^2 a^{-2} +z^2 a^{-4} -8 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-a z^9-4 z^9 a^{-1} +a^4 z^8-15 a^2 z^8-6 z^8 a^{-2} +2 z^8 a^{-4} -24 z^8-16 a^3 z^7-19 a z^7-5 z^7 a^{-1} +z^7 a^{-3} +3 z^7 a^{-5} -5 a^4 z^6+17 a^2 z^6+4 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} +36 z^6+24 a^3 z^5+39 a z^5+17 z^5 a^{-1} -10 z^5 a^{-3} -12 z^5 a^{-5} +7 a^4 z^4-4 a^2 z^4+2 z^4 a^{-2} +6 z^4 a^{-4} -3 z^4 a^{-6} -18 z^4-13 a^3 z^3-22 a z^3-9 z^3 a^{-1} +8 z^3 a^{-3} +8 z^3 a^{-5} -3 a^4 z^2+a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +7 z^2+2 a^3 z+4 a z+2 z a^{-1} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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