K13n1287
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1287/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n1287/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4+z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +5 z^4-3 a^2 z^2+4 z^2 a^{-2} -9 z^2 a^{-4} +3 z^2 a^{-6} +7 z^2-2 a^2+4 a^{-2} -6 a^{-4} +2 a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^{10} a^{-6} +z^{10}+2 a z^9+3 z^9 a^{-1} +3 z^9 a^{-3} +4 z^9 a^{-5} +2 z^9 a^{-7} +2 a^2 z^8-6 z^8 a^{-2} -4 z^8 a^{-4} -3 z^8 a^{-6} +z^8 a^{-8} -4 z^8+a^3 z^7-10 a z^7-21 z^7 a^{-1} -22 z^7 a^{-3} -24 z^7 a^{-5} -12 z^7 a^{-7} -10 a^2 z^6+5 z^6 a^{-2} -z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} -3 z^6-5 a^3 z^5+10 a z^5+39 z^5 a^{-1} +46 z^5 a^{-3} +45 z^5 a^{-5} +23 z^5 a^{-7} +12 a^2 z^4+z^4 a^{-2} +3 z^4 a^{-4} +15 z^4 a^{-6} +11 z^4 a^{-8} +14 z^4+6 a^3 z^3-a z^3-28 z^3 a^{-1} -44 z^3 a^{-3} -41 z^3 a^{-5} -18 z^3 a^{-7} -6 a^2 z^2+2 z^2 a^{-2} +6 z^2 a^{-4} -6 z^2 a^{-6} -6 z^2 a^{-8} -10 z^2-2 a^3 z-a z+7 z a^{-1} +17 z a^{-3} +17 z a^{-5} +6 z a^{-7} +2 a^2-4 a^{-2} -6 a^{-4} -2 a^{-6} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
