K13n2526
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2526/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-4 t+3-4 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2526/Conway Polynomial |
| Determinant | 25 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} +z^4-3 z^2 a^{-2} -7 z^2 a^{-4} +5 z^2 a^{-6} +3 z^2-4 a^{-4} +4 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-1} -4 z^9 a^{-3} -6 z^9 a^{-5} -10 z^8 a^{-2} -18 z^8 a^{-4} -7 z^8 a^{-6} +z^8-11 z^7 a^{-1} +z^7 a^{-3} +12 z^7 a^{-5} +10 z^6 a^{-2} +33 z^6 a^{-4} +17 z^6 a^{-6} -6 z^6+16 z^5 a^{-1} -17 z^5 a^{-5} -z^5 a^{-7} +3 z^4 a^{-2} -31 z^4 a^{-4} -24 z^4 a^{-6} -z^4 a^{-8} +11 z^4-6 z^3 a^{-1} +9 z^3 a^{-3} +15 z^3 a^{-5} -4 z^2 a^{-2} +19 z^2 a^{-4} +16 z^2 a^{-6} +z^2 a^{-8} -8 z^2-z a^{-1} -5 z a^{-3} -5 z a^{-5} -z a^{-7} -4 a^{-4} -4 a^{-6} - a^{-8} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
