K13n2667
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2667/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+32 t-43+32 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2667/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} +z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^9 a^{-3} +4 z^9 a^{-5} +8 z^9 a^{-7} +6 z^9 a^{-9} +z^8 a^{-2} +z^8 a^{-4} -10 z^8 a^{-6} -6 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-3} -5 z^7 a^{-5} -27 z^7 a^{-7} -20 z^7 a^{-9} +z^7 a^{-11} +3 z^6 a^{-2} +2 z^6 a^{-4} +6 z^6 a^{-6} -7 z^6 a^{-8} -14 z^6 a^{-10} +4 z^5 a^{-1} +z^5 a^{-3} -3 z^5 a^{-5} +22 z^5 a^{-7} +19 z^5 a^{-9} -3 z^5 a^{-11} -z^4 a^{-2} -9 z^4 a^{-4} -13 z^4 a^{-6} +7 z^4 a^{-8} +13 z^4 a^{-10} +z^4-3 z^3 a^{-1} +z^3 a^{-3} +2 z^3 a^{-5} -9 z^3 a^{-7} -5 z^3 a^{-9} +2 z^3 a^{-11} +2 z^2 a^{-2} +7 z^2 a^{-4} +6 z^2 a^{-6} +z^2 a^{-8} -z^2 a^{-10} -z^2-2 z a^{-5} -2 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
