K13n4116
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4116/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-15 t+21-15 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4116/Conway Polynomial |
| Determinant | 61 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}+3 z^2 a^{10}+a^{10}-z^6 a^8-4 z^4 a^8-8 z^2 a^8-5 a^8+z^6 a^6+7 z^4 a^6+11 z^2 a^6+5 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+2 z^3 a^{15}+4 z^8 a^{14}-15 z^6 a^{14}+13 z^4 a^{14}-z^2 a^{14}+5 z^9 a^{13}-19 z^7 a^{13}+17 z^5 a^{13}-4 z^3 a^{13}+2 z^{10} a^{12}-2 z^8 a^{12}-13 z^6 a^{12}+13 z^4 a^{12}-z^2 a^{12}+7 z^9 a^{11}-28 z^7 a^{11}+32 z^5 a^{11}-14 z^3 a^{11}+2 z^{10} a^{10}-7 z^8 a^{10}+8 z^6 a^{10}-7 z^4 a^{10}+3 z^2 a^{10}-a^{10}+2 z^9 a^9-9 z^7 a^9+16 z^5 a^9-13 z^3 a^9+5 z a^9-z^8 a^8+7 z^6 a^8-14 z^4 a^8+15 z^2 a^8-5 a^8-z^7 a^7+4 z^5 a^7-5 z^3 a^7+5 z a^7+z^6 a^6-7 z^4 a^6+12 z^2 a^6-5 a^6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
