K12n579
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-q^2+q+1-2 q^{-1} +2 q^{-2} -3 q^{-3} +3 q^{-4} -2 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-2 t^2-3 t+9-3 t^{-1} -2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+4 z^4-2 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-2 z^2 a^4-a^4-2 z^2 a^2-a^2+z^6+5 z^4+5 z^2+2-z^4 a^{-2} -3 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9+z^9 a^{-1} +a^4 z^8+a^2 z^8+2 z^8 a^{-2} +2 z^8+2 a^5 z^7+2 a^3 z^7-7 a z^7-6 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-2 a^4 z^6-6 a^2 z^6-12 z^6 a^{-2} -15 z^6-8 a^5 z^5-8 a^3 z^5+13 a z^5+8 z^5 a^{-1} -5 z^5 a^{-3} -4 a^6 z^4-5 a^4 z^4+9 a^2 z^4+19 z^4 a^{-2} +29 z^4+7 a^5 z^3+5 a^3 z^3-10 a z^3-3 z^3 a^{-1} +5 z^3 a^{-3} +4 a^6 z^2+6 a^4 z^2-6 a^2 z^2-9 z^2 a^{-2} -17 z^2-2 a^5 z+4 a z+2 z a^{-1} -a^6-a^4+a^2+2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
