K13n3443
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3443/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2+4 t-9+4 t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3443/Conway Polynomial |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-z^4 a^8-z^2 a^8-a^8+2 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-2 z^2 a^4+z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-3 z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+28 z^5 a^{11}-16 z^3 a^{11}+2 z a^{11}+2 z^{10} a^{10}-9 z^8 a^{10}+5 z^6 a^{10}+8 z^4 a^{10}-4 z^2 a^{10}+6 z^9 a^9-37 z^7 a^9+64 z^5 a^9-39 z^3 a^9+9 z a^9+2 z^{10} a^8-11 z^8 a^8+11 z^6 a^8+z^4 a^8+z^2 a^8-a^8+3 z^9 a^7-22 z^7 a^7+43 z^5 a^7-33 z^3 a^7+9 z a^7-3 z^6 a^6+2 z^4 a^6-a^6-z^5 a^5-4 z^3 a^5+2 z a^5+z^8 a^4-3 z^6 a^4-2 z^4 a^4+2 z^2 a^4+2 z^7 a^3-8 z^5 a^3+6 z^3 a^3+z^6 a^2-4 z^4 a^2+4 z^2 a^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. |