K13n4197
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4197/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-33 t+39-33 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4197/Conway Polynomial |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -12 z^4 a^{-4} +11 z^4 a^{-6} -3 z^4 a^{-8} +6 z^2 a^{-2} -15 z^2 a^{-4} +12 z^2 a^{-6} -3 z^2 a^{-8} +4 a^{-2} -6 a^{-4} +4 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +10 z^{10} a^{-6} +7 z^{10} a^{-8} +z^9 a^{-3} -2 z^9 a^{-5} +8 z^9 a^{-7} +11 z^9 a^{-9} -11 z^8 a^{-4} -33 z^8 a^{-6} -11 z^8 a^{-8} +11 z^8 a^{-10} +z^7 a^{-3} -z^7 a^{-5} -32 z^7 a^{-7} -22 z^7 a^{-9} +8 z^7 a^{-11} +3 z^6 a^{-2} +28 z^6 a^{-4} +56 z^6 a^{-6} +9 z^6 a^{-8} -18 z^6 a^{-10} +4 z^6 a^{-12} -8 z^5 a^{-3} +6 z^5 a^{-5} +47 z^5 a^{-7} +21 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -11 z^4 a^{-2} -46 z^4 a^{-4} -53 z^4 a^{-6} -4 z^4 a^{-8} +9 z^4 a^{-10} -5 z^4 a^{-12} +4 z^3 a^{-3} -14 z^3 a^{-5} -31 z^3 a^{-7} -9 z^3 a^{-9} +3 z^3 a^{-11} -z^3 a^{-13} +12 z^2 a^{-2} +30 z^2 a^{-4} +22 z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-12} +2 z a^{-3} +6 z a^{-5} +6 z a^{-7} +2 z a^{-9} -4 a^{-2} -6 a^{-4} -4 a^{-6} - a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
