K13n2166
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2166/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-12 t^2+12 t-11+12 t^{-1} -12 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2166/Conway Polynomial |
| Determinant | 79 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -z^4 a^{-6} -13 z^4 a^{-8} +6 z^4 a^{-10} +4 z^2 a^{-4} +7 z^2 a^{-6} -15 z^2 a^{-8} +9 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +4 a^{-6} -7 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^9 a^{-5} -3 z^9 a^{-7} -2 z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-4} -18 z^8 a^{-6} -46 z^8 a^{-8} -26 z^8 a^{-10} +z^8 a^{-12} -14 z^7 a^{-5} -19 z^7 a^{-7} -26 z^7 a^{-9} -21 z^7 a^{-11} -5 z^6 a^{-4} +22 z^6 a^{-6} +77 z^6 a^{-8} +46 z^6 a^{-10} -4 z^6 a^{-12} +18 z^5 a^{-5} +41 z^5 a^{-7} +60 z^5 a^{-9} +37 z^5 a^{-11} +8 z^4 a^{-4} -13 z^4 a^{-6} -65 z^4 a^{-8} -40 z^4 a^{-10} +4 z^4 a^{-12} -7 z^3 a^{-5} -30 z^3 a^{-7} -50 z^3 a^{-9} -27 z^3 a^{-11} -5 z^2 a^{-4} +11 z^2 a^{-6} +31 z^2 a^{-8} +17 z^2 a^{-10} +2 z^2 a^{-12} +z a^{-5} +9 z a^{-7} +13 z a^{-9} +7 z a^{-11} +2 z a^{-13} + a^{-4} -4 a^{-6} -7 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
