K13n1840
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Polynomial invariants
| Jones polynomial | Data:K13n1840/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-6 t+7-6 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1840/Conway Polynomial |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +3 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^{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} -7 z^8 a^{-2} -25 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +4 z^7 a^{-3} -13 z^7 a^{-5} -17 z^7 a^{-7} +16 z^6 a^{-2} +48 z^6 a^{-4} +27 z^6 a^{-6} -5 z^6 a^{-8} -z^5 a^{-1} +5 z^5 a^{-3} +33 z^5 a^{-5} +27 z^5 a^{-7} -19 z^4 a^{-2} -39 z^4 a^{-4} -15 z^4 a^{-6} +6 z^4 a^{-8} -z^4-z^3 a^{-1} -10 z^3 a^{-3} -22 z^3 a^{-5} -13 z^3 a^{-7} +9 z^2 a^{-2} +13 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +z^2+z a^{-1} +4 z a^{-3} +4 z a^{-5} +z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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