K13n1071
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1071/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1071/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+5 z^2 a^4+3 a^4-z^6 a^2-5 z^4 a^2-9 z^2 a^2-5 a^2+z^6+6 z^4+10 z^2+6-z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^9+a^3 z^9+z^9 a^{-1} +3 a^6 z^8+6 a^4 z^8+2 a^2 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-5 a^5 z^7-a^3 z^7-a z^7-5 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-26 a^4 z^6-13 a^2 z^6-11 z^6 a^{-2} -11 z^6-4 a^7 z^5-6 a^5 z^5-10 a^3 z^5-2 a z^5+z^5 a^{-1} -5 z^5 a^{-3} +15 a^6 z^4+29 a^4 z^4+23 a^2 z^4+15 z^4 a^{-2} +24 z^4+5 a^7 z^3+13 a^5 z^3+12 a^3 z^3+7 a z^3+9 z^3 a^{-1} +6 z^3 a^{-3} -5 a^6 z^2-13 a^4 z^2-19 a^2 z^2-7 z^2 a^{-2} -18 z^2-2 a^7 z-4 a^5 z-4 a^3 z-4 a z-4 z a^{-1} -2 z a^{-3} +a^6+3 a^4+5 a^2+2 a^{-2} +6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |