K12n487
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-2 q^8+2 q^7-2 q^6+2 q^5-2 q^4+q^3+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+4 t-7+4 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-5 z^4-z^2+1 }[/math] |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -6 z^4 a^{-4} +5 z^2 a^{-2} -9 z^2 a^{-4} +2 z^2 a^{-6} +z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^8 a^{-8} -z^7 a^{-5} +z^7 a^{-7} +2 z^7 a^{-9} +z^6 a^{-2} +7 z^6 a^{-4} +z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +6 z^5 a^{-5} -3 z^5 a^{-7} -9 z^5 a^{-9} -6 z^4 a^{-2} -17 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} -4 z^4 a^{-10} -z^3 a^{-3} -10 z^3 a^{-5} +9 z^3 a^{-9} +10 z^2 a^{-2} +17 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2 a^{-10} +2 z a^{-3} +4 z a^{-5} +z a^{-7} -z a^{-9} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
