K13n757
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n757/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-36 t+45-36 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n757/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-2 z^4 a^{-2} +11 z^4+2 a^4 z^2-9 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +11 z^2+a^4-4 a^2- a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+7 a^3 z^9+13 a z^9+9 z^9 a^{-1} +3 z^9 a^{-3} +7 a^4 z^8+6 a^2 z^8+z^8 a^{-4} -2 z^8+4 a^5 z^7-8 a^3 z^7-29 a z^7-19 z^7 a^{-1} -2 z^7 a^{-3} +a^6 z^6-14 a^4 z^6-28 a^2 z^6-4 z^6 a^{-2} +4 z^6 a^{-4} -21 z^6-9 a^5 z^5-6 a^3 z^5+19 a z^5+14 z^5 a^{-1} +z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+7 a^4 z^4+27 a^2 z^4+5 z^4 a^{-2} -10 z^4 a^{-4} +33 z^4+6 a^5 z^3+7 a^3 z^3-a z^3-4 z^3 a^{-3} -6 z^3 a^{-5} +a^6 z^2-2 a^4 z^2-15 a^2 z^2-2 z^2 a^{-2} +4 z^2 a^{-4} -18 z^2-a^5 z-3 a^3 z-3 a z-z a^{-1} +2 z a^{-3} +2 z a^{-5} +a^4+4 a^2- a^{-4} +5 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
