K13n2678
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2678/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-32 t+41-32 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2678/Conway Polynomial |
| Determinant | 141 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-8} +5 z^2 a^{-2} -9 z^2 a^{-4} +4 z^2 a^{-6} +2 z^2 a^{-8} -z^2 a^{-10} +3 a^{-2} -4 a^{-4} +3 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} +2 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} -5 z^8 a^{-4} -14 z^8 a^{-6} -z^8 a^{-8} +8 z^8 a^{-10} +z^7 a^{-3} -5 z^7 a^{-5} -22 z^7 a^{-7} -9 z^7 a^{-9} +7 z^7 a^{-11} +3 z^6 a^{-2} +13 z^6 a^{-4} +20 z^6 a^{-6} -5 z^6 a^{-8} -11 z^6 a^{-10} +4 z^6 a^{-12} -9 z^5 a^{-3} -z^5 a^{-5} +23 z^5 a^{-7} +3 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -10 z^4 a^{-2} -29 z^4 a^{-4} -24 z^4 a^{-6} +4 z^4 a^{-8} +3 z^4 a^{-10} -6 z^4 a^{-12} +7 z^3 a^{-3} -10 z^3 a^{-7} +2 z^3 a^{-9} +4 z^3 a^{-11} -z^3 a^{-13} +10 z^2 a^{-2} +21 z^2 a^{-4} +13 z^2 a^{-6} +2 z^2 a^{-8} +z^2 a^{-10} +z^2 a^{-12} +z a^{-7} +z a^{-9} -3 a^{-2} -4 a^{-4} -3 a^{-6} - a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
