K13n2590
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2590/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-23 t+33-23 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2590/Conway Polynomial |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-z^9 a^{-1} +5 z^9 a^{-3} +6 z^9 a^{-5} -15 z^8 a^{-2} -9 z^8 a^{-4} +4 z^8 a^{-6} -2 z^8+2 a z^7-z^7 a^{-1} -25 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} +12 z^6 a^{-2} -4 z^6 a^{-4} -14 z^6 a^{-6} +2 z^6-3 a z^5-z^5 a^{-1} +23 z^5 a^{-3} +18 z^5 a^{-5} -3 z^5 a^{-7} +3 a^2 z^4-3 z^4 a^{-2} +8 z^4 a^{-4} +12 z^4 a^{-6} +4 z^4+a^3 z^3+7 a z^3+7 z^3 a^{-1} -6 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -2 a^2 z^2-2 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2-a^3 z-3 a z-3 z a^{-1} -z a^{-3} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
