K13n3142
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3142/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-10 t+13-10 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3142/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+3 z^2 a^6+2 a^6-z^6 a^4-4 z^4 a^4-5 z^2 a^4-2 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2+z^4+3 z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+4 a^4 z^{10}+2 a^2 z^{10}+2 a^7 z^9-3 a^5 z^9-3 a^3 z^9+2 a z^9+a^8 z^8-10 a^6 z^8-22 a^4 z^8-10 a^2 z^8+z^8-11 a^7 z^7-a^5 z^7-a^3 z^7-11 a z^7-6 a^8 z^6+15 a^6 z^6+42 a^4 z^6+15 a^2 z^6-6 z^6+18 a^7 z^5+2 a^5 z^5+3 a^3 z^5+19 a z^5+11 a^8 z^4-12 a^6 z^4-43 a^4 z^4-8 a^2 z^4+12 z^4-10 a^7 z^3+2 a^5 z^3+a^3 z^3-11 a z^3-6 a^8 z^2+8 a^6 z^2+20 a^4 z^2-2 a^2 z^2-8 z^2+2 a^7 z-a^5 z-3 a^3 z+a z+z a^{-1} -2 a^6-2 a^4+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. |
