K13n2137
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2137/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+3 t^2-1+3 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2137/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-4 a^4 z^4+10 a^2 z^4-z^4 a^{-2} -3 a^4 z^2+4 a^2 z^2-2 z^2 a^{-2} +2 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+3 a^3 z^9+a z^9+z^9 a^{-1} +3 a^6 z^8-2 a^4 z^8-6 a^2 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-14 a^5 z^7-17 a^3 z^7-8 a z^7-5 z^7 a^{-1} +z^7 a^{-3} -14 a^6 z^6-10 a^4 z^6+7 a^2 z^6-11 z^6 a^{-2} -8 z^6-4 a^7 z^5+13 a^5 z^5+22 a^3 z^5+14 a z^5+4 z^5 a^{-1} -5 z^5 a^{-3} +15 a^6 z^4+17 a^4 z^4-a^2 z^4+16 z^4 a^{-2} +13 z^4+3 a^7 z^3+a^5 z^3-6 a^3 z^3-9 a z^3+z^3 a^{-1} +6 z^3 a^{-3} -4 a^6 z^2-4 a^4 z^2-3 a^2 z^2-7 z^2 a^{-2} -10 z^2-a^7 z-2 a^5 z-a^3 z-z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
