K13n2649
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2649/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+17 t^2-30 t+35-30 t^{-1} +17 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2649/Conway Polynomial |
| Determinant | 137 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -2 z^4 a^{-4} -5 z^4 a^{-6} -2 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} +3 z^2 a^{-10} +2 a^{-2} - a^{-4} - a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +4 z^9 a^{-5} +6 z^9 a^{-7} +5 z^9 a^{-9} +3 z^9 a^{-11} +3 z^8 a^{-4} -3 z^8 a^{-6} -12 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-3} -9 z^7 a^{-5} -19 z^7 a^{-7} -12 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -5 z^6 a^{-4} +15 z^6 a^{-8} +13 z^6 a^{-10} +4 z^6 a^{-12} -5 z^5 a^{-3} +12 z^5 a^{-5} +28 z^5 a^{-7} +13 z^5 a^{-9} +5 z^5 a^{-11} +3 z^5 a^{-13} -4 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} -9 z^4 a^{-8} -22 z^4 a^{-10} -12 z^4 a^{-12} +2 z^3 a^{-3} -11 z^3 a^{-5} -17 z^3 a^{-7} -6 z^3 a^{-9} -8 z^3 a^{-11} -6 z^3 a^{-13} +5 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2 a^{-8} +13 z^2 a^{-10} +7 z^2 a^{-12} +z a^{-3} +3 z a^{-5} +3 z a^{-7} +z a^{-9} +2 z a^{-11} +2 z a^{-13} -2 a^{-2} - a^{-4} - a^{-8} -2 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
