K13n2816
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2816/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-38 t+51-38 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2816/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+3 z^4 a^{-2} -5 z^4+a^4 z^2+4 z^2 a^{-2} -z^2 a^{-4} -5 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+3 z^{10} a^{-2} +9 z^{10}+9 a^3 z^9+6 a z^9-2 z^9 a^{-1} +z^9 a^{-3} +8 a^4 z^8-7 a^2 z^8-7 z^8 a^{-2} -22 z^8+4 a^5 z^7-20 a^3 z^7-15 a z^7+14 z^7 a^{-1} +5 z^7 a^{-3} +a^6 z^6-20 a^4 z^6-a^2 z^6+26 z^6 a^{-2} +5 z^6 a^{-4} +41 z^6-9 a^5 z^5+14 a^3 z^5+13 a z^5-18 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+15 a^4 z^4+2 a^2 z^4-34 z^4 a^{-2} -7 z^4 a^{-4} -42 z^4+4 a^5 z^3-3 a^3 z^3-8 a z^3+2 z^3 a^{-1} +2 z^3 a^{-3} -z^3 a^{-5} -3 a^4 z^2+a^2 z^2+13 z^2 a^{-2} +3 z^2 a^{-4} +14 z^2+a^3 z+2 a z+2 z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
