K13n2855
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2855/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-47 t+59-47 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2855/Conway Polynomial |
| Determinant | 217 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +4 z^6-2 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +7 z^4-2 a^2 z^2-z^2 a^{-2} +5 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +3 a^2 z^{10}+9 z^{10} a^{-2} +12 z^{10}+a^3 z^9+7 a z^9+22 z^9 a^{-1} +16 z^9 a^{-3} +a^2 z^8+5 z^8 a^{-2} +14 z^8 a^{-4} -8 z^8+7 a^3 z^7-7 a z^7-45 z^7 a^{-1} -25 z^7 a^{-3} +6 z^7 a^{-5} +5 a^4 z^6+3 a^2 z^6-42 z^6 a^{-2} -25 z^6 a^{-4} +z^6 a^{-6} -18 z^6+a^5 z^5-7 a^3 z^5-4 a z^5+10 z^5 a^{-1} -z^5 a^{-3} -7 z^5 a^{-5} -5 a^4 z^4-2 a^2 z^4+27 z^4 a^{-2} +8 z^4 a^{-4} +22 z^4-a^5 z^3+2 a^3 z^3+11 a z^3+15 z^3 a^{-1} +7 z^3 a^{-3} +a^4 z^2-2 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -7 z^2-2 a^3 z-5 a z-5 z a^{-1} -z a^{-3} +z a^{-5} +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. |
