K13n3516
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3516/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+7 t-9+7 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3516/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +2 a^{-2} - a^{-6} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} -7 z^9 a^{-7} -5 z^9 a^{-9} +2 z^9 a^{-11} -7 z^8 a^{-6} -20 z^8 a^{-8} -12 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-5} +19 z^7 a^{-7} +6 z^7 a^{-9} -12 z^7 a^{-11} +17 z^6 a^{-6} +45 z^6 a^{-8} +22 z^6 a^{-10} -6 z^6 a^{-12} -6 z^5 a^{-5} -30 z^5 a^{-7} -3 z^5 a^{-9} +21 z^5 a^{-11} -19 z^4 a^{-6} -46 z^4 a^{-8} -17 z^4 a^{-10} +10 z^4 a^{-12} +9 z^3 a^{-5} +24 z^3 a^{-7} +3 z^3 a^{-9} -12 z^3 a^{-11} +z^2 a^{-2} +6 z^2 a^{-6} +18 z^2 a^{-8} +7 z^2 a^{-10} -4 z^2 a^{-12} +z a^{-3} -3 z a^{-5} -8 z a^{-7} -2 z a^{-9} +2 z a^{-11} -2 a^{-2} + a^{-6} - a^{-8} - a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
