K13n3348
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3348/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t-5+4 t^{-1} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3348/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -6 z^4 a^{-2} -z^4 a^{-6} +z^4-10 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +4 z^2-5 a^{-2} +2 a^{-4} - a^{-6} + a^{-8} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-1} +z^9 a^{-7} +2 z^8 a^{-2} +z^8 a^{-6} +2 z^8 a^{-8} +z^8-6 z^7 a^{-1} +z^7 a^{-3} -5 z^7 a^{-7} +2 z^7 a^{-9} -14 z^6 a^{-2} -2 z^6 a^{-4} -5 z^6 a^{-6} -9 z^6 a^{-8} +z^6 a^{-10} -7 z^6+9 z^5 a^{-1} -10 z^5 a^{-3} -2 z^5 a^{-5} +9 z^5 a^{-7} -8 z^5 a^{-9} +28 z^4 a^{-2} +4 z^4 a^{-4} +7 z^4 a^{-6} +11 z^4 a^{-8} -4 z^4 a^{-10} +16 z^4-z^3 a^{-1} +19 z^3 a^{-3} +4 z^3 a^{-5} -10 z^3 a^{-7} +6 z^3 a^{-9} -20 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} -14 z^2-3 z a^{-1} -8 z a^{-3} -2 z a^{-5} +3 z a^{-7} +5 a^{-2} +2 a^{-4} + a^{-6} + a^{-8} +4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
