K12n13
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-q+2-3 q^{-1} +4 q^{-2} -4 q^{-3} +4 q^{-4} -4 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-7 t+13-7 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-3 z^2+1 }[/math] |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-2 z^2 a^6-2 a^6+z^4 a^4+2 z^2 a^4+2 a^4-2 z^2 a^2-a^2-z^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+4 a^5 z^9+2 a^3 z^9+a^8 z^8-3 a^6 z^8-3 a^4 z^8+a^2 z^8-12 a^7 z^7-23 a^5 z^7-11 a^3 z^7-6 a^8 z^6-6 a^6 z^6-4 a^4 z^6-4 a^2 z^6+22 a^7 z^5+40 a^5 z^5+20 a^3 z^5+2 a z^5+11 a^8 z^4+20 a^6 z^4+13 a^4 z^4+5 a^2 z^4+z^4-15 a^7 z^3-27 a^5 z^3-18 a^3 z^3-5 a z^3+z^3 a^{-1} -7 a^8 z^2-12 a^6 z^2-9 a^4 z^2-5 a^2 z^2+z^2 a^{-2} +4 a^7 z+7 a^5 z+5 a^3 z+2 a z+a^8+2 a^6+2 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. |
