K13n2680
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2680/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-38 t+55-38 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2680/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+2 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -3 z^2+2 a^2+ a^{-2} - a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^{10}+7 a z^9+11 z^9 a^{-1} +5 z^9 a^{-3} +z^9 a^{-5} +8 a^2 z^8-2 z^8 a^{-2} +6 z^8+7 a^3 z^7-a z^7-20 z^7 a^{-1} -9 z^7 a^{-3} +3 z^7 a^{-5} +4 a^4 z^6-5 a^2 z^6-17 z^6 a^{-2} -5 z^6 a^{-4} +3 z^6 a^{-6} -18 z^6+a^5 z^5-9 a^3 z^5-13 a z^5+4 z^5 a^{-1} -6 z^5 a^{-3} -13 z^5 a^{-5} -6 a^4 z^4-8 a^2 z^4+14 z^4 a^{-2} -3 z^4 a^{-4} -8 z^4 a^{-6} +7 z^4-a^5 z^3+4 a^3 z^3+12 a z^3+5 z^3 a^{-1} +8 z^3 a^{-3} +10 z^3 a^{-5} +3 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} +5 z^2 a^{-4} +6 z^2 a^{-6} +5 z^2-a^3 z-3 a z-z a^{-1} -z a^{-3} -2 z a^{-5} -2 a^2- a^{-2} - a^{-4} - a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |