K12n447
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-3 q^3+6 q^2-9 q+12-12 q^{-1} +11 q^{-2} -9 q^{-3} +6 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-16 t+21-16 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4-2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-3 a^2 z^4+z^4 a^{-2} -3 z^4+2 a^4 z^2-3 a^2 z^2+2 z^2 a^{-2} -3 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +4 a^4 z^8+3 a^2 z^8+z^8 a^{-2} +3 a^5 z^7-6 a^3 z^7-16 a z^7-7 z^7 a^{-1} +a^6 z^6-11 a^4 z^6-15 a^2 z^6-z^6 a^{-2} -4 z^6-9 a^5 z^5+a^3 z^5+22 a z^5+15 z^5 a^{-1} +3 z^5 a^{-3} -3 a^6 z^4+7 a^4 z^4+18 a^2 z^4+2 z^4 a^{-2} +z^4 a^{-4} +9 z^4+6 a^5 z^3-a^3 z^3-11 a z^3-9 z^3 a^{-1} -5 z^3 a^{-3} +2 a^6 z^2-4 a^4 z^2-9 a^2 z^2-2 z^2 a^{-4} -z^2-a^5 z+2 a z+2 z a^{-1} +z a^{-3} +a^4+a^2- a^{-2} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
