K13n1785
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Polynomial invariants
| Jones polynomial | Data:K13n1785/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-3 t+5-3 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n1785/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6 a^{-4} +6 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} -z^4+10 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -5 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} -8 z^8 a^{-2} -26 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +z^7 a^{-3} -16 z^7 a^{-5} -17 z^7 a^{-7} +21 z^6 a^{-2} +48 z^6 a^{-4} +24 z^6 a^{-6} -5 z^6 a^{-8} +2 z^6+a z^5+14 z^5 a^{-3} +41 z^5 a^{-5} +26 z^5 a^{-7} -30 z^4 a^{-2} -35 z^4 a^{-4} -8 z^4 a^{-6} +6 z^4 a^{-8} -9 z^4-3 a z^3-6 z^3 a^{-1} -17 z^3 a^{-3} -27 z^3 a^{-5} -13 z^3 a^{-7} +19 z^2 a^{-2} +15 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +7 z^2+a z+3 z a^{-1} +6 z a^{-3} +6 z a^{-5} +2 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
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