K13n3395
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3395/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-27 t+35-27 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3395/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+9 a^2 z^4-2 z^4-3 a^4 z^2+5 a^2 z^2-z^2 a^{-2} -z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+6 a^5 z^9+9 a^3 z^9+4 a z^9+z^9 a^{-1} +4 a^6 z^8-2 a^4 z^8-9 a^2 z^8-3 z^8+a^7 z^7-16 a^5 z^7-28 a^3 z^7-12 a z^7-z^7 a^{-1} -13 a^6 z^6-22 a^4 z^6-4 a^2 z^6+z^6 a^{-2} +6 z^6-3 a^7 z^5+6 a^5 z^5+12 a^3 z^5+12 a z^5+9 z^5 a^{-1} +13 a^6 z^4+21 a^4 z^4+3 a^2 z^4+6 z^4 a^{-2} +z^4+3 a^7 z^3+5 a^5 z^3+2 a^3 z^3-7 a z^3-5 z^3 a^{-1} +2 z^3 a^{-3} -4 a^6 z^2-4 a^4 z^2-4 z^2 a^{-2} -4 z^2-a^7 z-2 a^5 z+2 a z+z a^{-1} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
