K13n266
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n266/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-3 t^3+2 t^2-2 t+3-2 t^{-1} +2 t^{-2} -3 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n266/Conway Polynomial |
| Determinant | 25 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -30 z^6 a^{-8} +8 z^6 a^{-10} +22 z^4 a^{-6} -48 z^4 a^{-8} +21 z^4 a^{-10} -z^4 a^{-12} +24 z^2 a^{-6} -40 z^2 a^{-8} +21 z^2 a^{-10} -3 z^2 a^{-12} +9 a^{-6} -14 a^{-8} +7 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -7 z^9 a^{-7} -4 z^9 a^{-9} +3 z^9 a^{-11} -9 z^8 a^{-6} -32 z^8 a^{-8} -21 z^8 a^{-10} +2 z^8 a^{-12} +14 z^7 a^{-7} -6 z^7 a^{-9} -18 z^7 a^{-11} +2 z^7 a^{-13} +30 z^6 a^{-6} +90 z^6 a^{-8} +49 z^6 a^{-10} -10 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-7} +39 z^5 a^{-9} +30 z^5 a^{-11} -11 z^5 a^{-13} -46 z^4 a^{-6} -110 z^4 a^{-8} -50 z^4 a^{-10} +9 z^4 a^{-12} -5 z^4 a^{-14} -16 z^3 a^{-7} -45 z^3 a^{-9} -15 z^3 a^{-11} +14 z^3 a^{-13} +33 z^2 a^{-6} +61 z^2 a^{-8} +26 z^2 a^{-10} +2 z^2 a^{-12} +4 z^2 a^{-14} +10 z a^{-7} +15 z a^{-9} +z a^{-11} -5 z a^{-13} -z a^{-15} -9 a^{-6} -14 a^{-8} -7 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. |
