K13n2898
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2898/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-34 t+43-34 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2898/Conway Polynomial |
| Determinant | 145 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}+a^{10}-z^6 a^8-z^4 a^8-z^2 a^8-2 a^8-z^6 a^6+4 z^2 a^6+3 a^6+2 z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+5 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-11 z^6 a^{14}+12 z^4 a^{14}-3 z^2 a^{14}+4 z^9 a^{13}-11 z^7 a^{13}+6 z^5 a^{13}+2 z^3 a^{13}+3 z^{10} a^{12}-3 z^8 a^{12}-7 z^6 a^{12}+5 z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}+6 z^9 a^{11}-16 z^7 a^{11}+5 z^5 a^{11}+2 z^3 a^{11}-2 z a^{11}+6 z^{10} a^{10}-8 z^8 a^{10}+3 z^6 a^{10}-10 z^4 a^{10}+5 z^2 a^{10}-a^{10}+z^{11} a^9+6 z^9 a^9-5 z^7 a^9-13 z^5 a^9+13 z^3 a^9-4 z a^9+3 z^{10} a^8+z^8 a^8+2 z^6 a^8-14 z^4 a^8+12 z^2 a^8-2 a^8+4 z^9 a^7-3 z^5 a^7+3 z^3 a^7+3 z^8 a^6+3 z^6 a^6-8 z^4 a^6+9 z^2 a^6-3 a^6+z^7 a^5+5 z^5 a^5-5 z^3 a^5+3 z^4 a^4-3 z^2 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
