K13n3093
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3093/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-17 t^2+18 t-15+18 t^{-1} -17 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3093/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -5 z^6+4 a^2 z^4-2 z^4 a^{-2} +4 z^4 a^{-4} -9 z^4+4 a^2 z^2+4 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -10 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9-3 a z^9+6 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-16 z^8 a^{-2} +4 z^8 a^{-4} -40 z^8-15 a^3 z^7-14 a z^7-19 z^7 a^{-1} -19 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+29 a^2 z^6+20 z^6 a^{-2} -8 z^6 a^{-4} +62 z^6+23 a^3 z^5+29 a z^5+26 z^5 a^{-1} +24 z^5 a^{-3} +4 z^5 a^{-5} +7 a^4 z^4-20 a^2 z^4-22 z^4 a^{-2} +8 z^4 a^{-4} +4 z^4 a^{-6} -53 z^4-12 a^3 z^3-19 a z^3-16 z^3 a^{-1} -14 z^3 a^{-3} -4 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+8 a^2 z^2+15 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +24 z^2+2 a^3 z+4 a z+4 z a^{-1} +3 z a^{-3} +z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
