K13n1810
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1810/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t+9-5 t^{-1} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1810/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+z^2 a^4+z^4 a^2+2 z^2 a^2+2 a^2+z^6+5 z^4+5 z^2+1-z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^9+z^9 a^{-1} +2 a^6 z^8+3 a^4 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-a^5 z^7+3 a^3 z^7-a z^7-5 z^7 a^{-1} +z^7 a^{-3} -9 a^6 z^6-11 a^4 z^6-11 z^6 a^{-2} -9 z^6-5 a^7 z^5-10 a^5 z^5-12 a^3 z^5+2 z^5 a^{-1} -5 z^5 a^{-3} +11 a^6 z^4+6 a^4 z^4-4 a^2 z^4+15 z^4 a^{-2} +16 z^4+8 a^7 z^3+15 a^5 z^3+8 a^3 z^3+2 a z^3+7 z^3 a^{-1} +6 z^3 a^{-3} -4 a^6 z^2+a^4 z^2+4 a^2 z^2-6 z^2 a^{-2} -7 z^2-4 a^7 z-5 a^5 z-a^3 z-a z-3 z a^{-1} -2 z a^{-3} +a^6-2 a^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. |
