K13n3501
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3501/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+4 t^2-3 t+3-3 t^{-1} +4 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3501/Conway Polynomial |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} -5 z^4+4 a^2 z^2-6 z^2 a^{-2} +4 z^2 a^{-4} -7 z^2+3 a^2- a^{-2} +2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}-8 a z^9-6 z^9 a^{-1} +2 z^9 a^{-3} -9 a^2 z^8-13 z^8 a^{-2} +2 z^8 a^{-4} -24 z^8+22 a z^7+9 z^7 a^{-1} -11 z^7 a^{-3} +2 z^7 a^{-5} +29 a^2 z^6+25 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} +66 z^6-25 a z^5+14 z^5 a^{-3} -11 z^5 a^{-5} -40 a^2 z^4-14 z^4 a^{-2} +15 z^4 a^{-4} -5 z^4 a^{-6} -74 z^4+12 a z^3-3 z^3 a^{-1} -z^3 a^{-3} +14 z^3 a^{-5} +22 a^2 z^2-2 z^2 a^{-2} -7 z^2 a^{-4} +4 z^2 a^{-6} +31 z^2-2 a z-z a^{-1} -2 z a^{-3} -4 z a^{-5} -z a^{-7} -3 a^2+ a^{-2} +2 a^{-4} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
