K13n3192
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3192/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t+7-3 t^{-1} }[/math] |
| Conway polynomial | Data:K13n3192/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} +z^4-a^2 z^2-z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +2 z^2-3 a^{-4} +2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} -9 z^9 a^{-3} -9 z^9 a^{-5} -9 z^8 a^{-2} -18 z^8 a^{-4} -9 z^8 a^{-6} +28 z^7 a^{-3} +28 z^7 a^{-5} +27 z^6 a^{-2} +54 z^6 a^{-4} +28 z^6 a^{-6} +z^6+3 a z^5+z^5 a^{-1} -40 z^5 a^{-3} -38 z^5 a^{-5} +3 a^2 z^4-31 z^4 a^{-2} -66 z^4 a^{-4} -36 z^4 a^{-6} +2 z^4+a^3 z^3-3 a z^3+3 z^3 a^{-1} +31 z^3 a^{-3} +24 z^3 a^{-5} -3 a^2 z^2+13 z^2 a^{-2} +31 z^2 a^{-4} +17 z^2 a^{-6} -4 z^2-4 z a^{-1} -11 z a^{-3} -7 z a^{-5} -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. |
