K13n2452
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2452/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-6 t^2-4 t+11-4 t^{-1} -6 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2452/Conway Polynomial |
| Determinant | 11 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -5 z^4 a^{-6} -10 z^4 a^{-8} +6 z^4 a^{-10} +6 z^2 a^{-4} -8 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -3 z^9 a^{-7} -4 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -10 z^8 a^{-6} -26 z^8 a^{-8} -14 z^8 a^{-10} +z^8 a^{-12} -11 z^7 a^{-5} -8 z^7 a^{-7} -5 z^7 a^{-9} -6 z^7 a^{-11} +2 z^7 a^{-13} -6 z^6 a^{-4} +10 z^6 a^{-6} +49 z^6 a^{-8} +28 z^6 a^{-10} -4 z^6 a^{-12} +z^6 a^{-14} +16 z^5 a^{-5} +23 z^5 a^{-7} +22 z^5 a^{-9} +6 z^5 a^{-11} -9 z^5 a^{-13} +11 z^4 a^{-4} -39 z^4 a^{-8} -25 z^4 a^{-10} -z^4 a^{-12} -4 z^4 a^{-14} -7 z^3 a^{-5} -16 z^3 a^{-7} -18 z^3 a^{-9} -z^3 a^{-11} +8 z^3 a^{-13} -8 z^2 a^{-4} +17 z^2 a^{-8} +9 z^2 a^{-10} +3 z^2 a^{-12} +3 z^2 a^{-14} +5 z a^{-7} +5 z a^{-9} -2 z a^{-11} -2 z a^{-13} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
