K13n3974
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3974/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+16 t-21+16 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3974/Conway Polynomial |
| Determinant | 67 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-2 z^4 a^4-3 z^2 a^4-a^4+z^6 a^2+3 z^4 a^2+4 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+4 a^3 z^9+a z^9+2 a^6 z^8-2 a^2 z^8-12 a^5 z^7-13 a^3 z^7-a z^7-5 a^6 z^6-2 a^4 z^6+7 a^2 z^6+4 z^6+4 a^7 z^5+26 a^5 z^5+25 a^3 z^5+4 a z^5+z^5 a^{-1} +a^8 z^4+9 a^6 z^4+5 a^4 z^4-11 a^2 z^4-8 z^4-6 a^7 z^3-19 a^5 z^3-22 a^3 z^3-11 a z^3-2 z^3 a^{-1} -2 a^8 z^2-4 a^6 z^2+a^4 z^2+5 a^2 z^2+2 z^2+a^7 z+5 a^5 z+7 a^3 z+4 a z+z a^{-1} -a^4-2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |