K12n552
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^3-2 q^2+q+2 q^{-2} -2 q^{-3} +3 q^{-4} -3 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-t-1- t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+7 z^2 a^4+4 a^4-z^6 a^2-5 z^4 a^2-6 z^2 a^2-2 a^2+z^2+1+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^9+a^3 z^9+2 a^6 z^8+3 a^4 z^8+2 a^2 z^8+z^8+a^7 z^7-3 a^5 z^7-5 a^3 z^7+a z^7+2 z^7 a^{-1} -10 a^6 z^6-17 a^4 z^6-14 a^2 z^6+z^6 a^{-2} -6 z^6-5 a^7 z^5-4 a^5 z^5+3 a^3 z^5-8 a z^5-10 z^5 a^{-1} +13 a^6 z^4+26 a^4 z^4+25 a^2 z^4-4 z^4 a^{-2} +8 z^4+7 a^7 z^3+10 a^5 z^3+3 a^3 z^3+10 a z^3+10 z^3 a^{-1} -6 a^6 z^2-16 a^4 z^2-16 a^2 z^2+2 z^2 a^{-2} -4 z^2-3 a^7 z-4 a^5 z-2 a^3 z-2 a z-z a^{-1} +2 a^6+4 a^4+2 a^2+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
