K13n340
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n340/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+13 t-15+13 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n340/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +4 z^4-3 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +6 z^2-2 a^2- a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+2 a z^9-2 z^9 a^{-1} -3 z^9 a^{-3} +z^9 a^{-5} +2 a^2 z^8-21 z^8 a^{-2} -12 z^8 a^{-4} -7 z^8+a^3 z^7-6 a z^7-4 z^7 a^{-1} -3 z^7 a^{-3} -6 z^7 a^{-5} -9 a^2 z^6+39 z^6 a^{-2} +26 z^6 a^{-4} +4 z^6-5 a^3 z^5-2 a z^5+8 z^5 a^{-1} +19 z^5 a^{-3} +14 z^5 a^{-5} +11 a^2 z^4-30 z^4 a^{-2} -20 z^4 a^{-4} +z^4 a^{-6} +2 z^4+7 a^3 z^3+10 a z^3-4 z^3 a^{-1} -17 z^3 a^{-3} -10 z^3 a^{-5} -6 a^2 z^2+7 z^2 a^{-2} +7 z^2 a^{-4} -6 z^2-3 a^3 z-5 a z-z a^{-1} +4 z a^{-3} +3 z a^{-5} +2 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. |
