K13n2115
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2115/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+43 t-53+43 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2115/Conway Polynomial |
| Determinant | 199 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +6 z^4-2 a^2 z^2-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +6 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +7 z^{10} a^{-4} +6 z^{10}+7 a z^9+15 z^9 a^{-1} +17 z^9 a^{-3} +9 z^9 a^{-5} +4 a^2 z^8-18 z^8 a^{-2} -4 z^8 a^{-4} +5 z^8 a^{-6} -5 z^8+a^3 z^7-18 a z^7-51 z^7 a^{-1} -47 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6-14 z^6 a^{-2} -2 z^6 a^{-4} +2 z^6 a^{-6} -22 z^6-3 a^3 z^5+11 a z^5+41 z^5 a^{-1} +40 z^5 a^{-3} +22 z^5 a^{-5} +9 z^5 a^{-7} +12 a^2 z^4+21 z^4 a^{-2} -3 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} +29 z^4+3 a^3 z^3-12 z^3 a^{-1} -19 z^3 a^{-3} -19 z^3 a^{-5} -9 z^3 a^{-7} -5 a^2 z^2-5 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} -12 z^2-a^3 z-a z+2 z a^{-1} +6 z a^{-3} +5 z a^{-5} +z a^{-7} +a^2- a^{-2} - a^{-4} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
