K13n1902
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1902/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+11 t^2-9 t+7-9 t^{-1} +11 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1902/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -9 z^4 a^{-2} +7 z^4 a^{-4} -4 z^4 a^{-6} +z^4-10 z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +4 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} -2 z^9 a^{-5} +z^9 a^{-7} -7 z^8 a^{-2} -17 z^8 a^{-4} -9 z^8 a^{-6} +z^8-10 z^7 a^{-1} -9 z^7 a^{-3} -2 z^7 a^{-5} -3 z^7 a^{-7} -z^6 a^{-2} +20 z^6 a^{-4} +16 z^6 a^{-6} +z^6 a^{-8} -6 z^6+14 z^5 a^{-1} +9 z^5 a^{-3} -z^5 a^{-5} +4 z^5 a^{-7} +17 z^4 a^{-2} -13 z^4 a^{-4} -18 z^4 a^{-6} +12 z^4-5 z^3 a^{-1} +5 z^3 a^{-3} +4 z^3 a^{-5} -4 z^3 a^{-7} +2 z^3 a^{-9} -13 z^2 a^{-2} +6 z^2 a^{-4} +8 z^2 a^{-6} +z^2 a^{-10} -10 z^2-z a^{-1} -4 z a^{-3} -2 z a^{-5} +z a^{-7} +3 a^{-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. |
