K13n1906
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1906/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-8 t^3+10 t^2-5 t+1-5 t^{-1} +10 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1906/Conway Polynomial |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -24 z^6 a^{-4} +7 z^6 a^{-6} +12 z^4 a^{-2} -35 z^4 a^{-4} +16 z^4 a^{-6} -z^4 a^{-8} +11 z^2 a^{-2} -23 z^2 a^{-4} +16 z^2 a^{-6} -2 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +8 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} -5 z^9 a^{-3} -6 z^9 a^{-5} +2 z^9 a^{-7} -20 z^8 a^{-2} -45 z^8 a^{-4} -24 z^8 a^{-6} +z^8-15 z^7 a^{-1} -13 z^7 a^{-3} -10 z^7 a^{-5} -12 z^7 a^{-7} +28 z^6 a^{-2} +79 z^6 a^{-4} +46 z^6 a^{-6} -5 z^6+21 z^5 a^{-1} +33 z^5 a^{-3} +33 z^5 a^{-5} +21 z^5 a^{-7} -18 z^4 a^{-2} -64 z^4 a^{-4} -42 z^4 a^{-6} -3 z^4 a^{-8} +7 z^4-11 z^3 a^{-1} -20 z^3 a^{-3} -24 z^3 a^{-5} -17 z^3 a^{-7} -2 z^3 a^{-9} +10 z^2 a^{-2} +28 z^2 a^{-4} +19 z^2 a^{-6} +4 z^2 a^{-8} -3 z^2+2 z a^{-1} +5 z a^{-3} +5 z a^{-5} +5 z a^{-7} +3 z a^{-9} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
