K13n2557
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2557/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-9 t+11-9 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2557/Conway Polynomial |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +z^4-4 z^2 a^{-2} -5 z^2 a^{-4} +3 z^2 a^{-6} +3 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -3 z^9 a^{-3} -3 z^9 a^{-5} +2 z^9 a^{-7} -10 z^8 a^{-2} -23 z^8 a^{-4} -11 z^8 a^{-6} +z^8 a^{-8} +z^8-11 z^7 a^{-1} -3 z^7 a^{-3} -4 z^7 a^{-5} -12 z^7 a^{-7} +13 z^6 a^{-2} +45 z^6 a^{-4} +20 z^6 a^{-6} -6 z^6 a^{-8} -6 z^6+17 z^5 a^{-1} +10 z^5 a^{-3} +17 z^5 a^{-5} +24 z^5 a^{-7} -4 z^4 a^{-2} -44 z^4 a^{-4} -18 z^4 a^{-6} +11 z^4 a^{-8} +11 z^4-7 z^3 a^{-1} -7 z^3 a^{-3} -20 z^3 a^{-5} -20 z^3 a^{-7} -z^2 a^{-2} +19 z^2 a^{-4} +8 z^2 a^{-6} -5 z^2 a^{-8} -7 z^2+2 z a^{-3} +8 z a^{-5} +7 z a^{-7} +z a^{-9} -3 a^{-4} -2 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. |
