K13n3810
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3810/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-30 t+35-30 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3810/Conway Polynomial |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -7 z^4 a^{-4} +11 z^4 a^{-6} -3 z^4 a^{-8} +3 z^2 a^{-2} -8 z^2 a^{-4} +13 z^2 a^{-6} -4 z^2 a^{-8} +2 a^{-2} -4 a^{-4} +6 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +6 z^{10} a^{-6} +5 z^{10} a^{-8} -z^9 a^{-5} +9 z^9 a^{-7} +10 z^9 a^{-9} -3 z^8 a^{-4} -18 z^8 a^{-6} -3 z^8 a^{-8} +12 z^8 a^{-10} +3 z^7 a^{-3} +4 z^7 a^{-5} -25 z^7 a^{-7} -17 z^7 a^{-9} +9 z^7 a^{-11} +z^6 a^{-2} +13 z^6 a^{-4} +39 z^6 a^{-6} +z^6 a^{-8} -22 z^6 a^{-10} +4 z^6 a^{-12} -8 z^5 a^{-3} -3 z^5 a^{-5} +33 z^5 a^{-7} +13 z^5 a^{-9} -14 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -26 z^4 a^{-4} -49 z^4 a^{-6} -8 z^4 a^{-8} +15 z^4 a^{-10} -4 z^4 a^{-12} +5 z^3 a^{-3} -5 z^3 a^{-5} -24 z^3 a^{-7} -6 z^3 a^{-9} +7 z^3 a^{-11} -z^3 a^{-13} +5 z^2 a^{-2} +18 z^2 a^{-4} +27 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} +2 z a^{-5} +6 z a^{-7} +2 z a^{-9} -2 z a^{-11} -2 a^{-2} -4 a^{-4} -6 a^{-6} -3 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
