K13n1737
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1737/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+14 t-19+14 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1737/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-4} +4 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +7 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} + a^{-2} - a^{-4} +4 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-5} -z^9 a^{-7} +z^9 a^{-9} +3 z^9 a^{-11} -10 z^8 a^{-6} -25 z^8 a^{-8} -14 z^8 a^{-10} +z^8 a^{-12} -4 z^7 a^{-5} -12 z^7 a^{-7} -24 z^7 a^{-9} -16 z^7 a^{-11} +z^6 a^{-4} +19 z^6 a^{-6} +40 z^6 a^{-8} +17 z^6 a^{-10} -5 z^6 a^{-12} +5 z^5 a^{-5} +26 z^5 a^{-7} +47 z^5 a^{-9} +26 z^5 a^{-11} -3 z^4 a^{-4} -24 z^4 a^{-6} -34 z^4 a^{-8} -6 z^4 a^{-10} +7 z^4 a^{-12} +z^3 a^{-3} -3 z^3 a^{-5} -24 z^3 a^{-7} -35 z^3 a^{-9} -15 z^3 a^{-11} +z^2 a^{-2} +4 z^2 a^{-4} +16 z^2 a^{-6} +17 z^2 a^{-8} +2 z^2 a^{-10} -2 z^2 a^{-12} +z a^{-5} +8 z a^{-7} +10 z a^{-9} +3 z a^{-11} - a^{-2} - a^{-4} -4 a^{-6} -4 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. |
