K12n648
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{11}+q^{10}-q^9+q^7-q^6+3 q^5-3 q^4+3 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-3 t^2-t+3- t^{-1} -3 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6+z^4+7 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-4} -10 z^4 a^{-6} +6 z^4 a^{-8} +6 z^2 a^{-4} -5 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} + a^{-4} +2 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +z^8 a^{-4} -4 z^8 a^{-6} -5 z^8 a^{-8} -12 z^7 a^{-5} -18 z^7 a^{-7} -6 z^7 a^{-9} -6 z^6 a^{-4} -z^6 a^{-6} +3 z^6 a^{-8} -z^6 a^{-10} +z^6 a^{-12} +21 z^5 a^{-5} +29 z^5 a^{-7} +7 z^5 a^{-9} +z^5 a^{-13} +11 z^4 a^{-4} +10 z^4 a^{-6} +5 z^4 a^{-8} +2 z^4 a^{-10} -4 z^4 a^{-12} -12 z^3 a^{-5} -15 z^3 a^{-7} -z^3 a^{-9} -2 z^3 a^{-11} -4 z^3 a^{-13} -7 z^2 a^{-4} -4 z^2 a^{-6} -4 z^2 a^{-8} -5 z^2 a^{-10} +2 z^2 a^{-12} +z a^{-5} +3 z a^{-7} -z a^{-9} +3 z a^{-13} + a^{-4} +2 a^{-8} +2 a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
