K13n1888
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1888/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t+9-4 t^{-1} }[/math] |
| Conway polynomial | Data:K13n1888/Conway Polynomial |
| Determinant | 17 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+2 a^4-z^4 a^2-4 z^2 a^2-2 a^2-2 z^2-1+z^4 a^{-2} +2 z^2 a^{-2} +2 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9-z^9 a^{-1} +a^4 z^8+a^2 z^8-z^8 a^{-2} -z^8-7 a^3 z^7-a z^7+8 z^7 a^{-1} +2 z^7 a^{-3} -7 a^4 z^6-9 a^2 z^6+11 z^6 a^{-2} +3 z^6 a^{-4} +6 z^6+14 a^3 z^5+2 a z^5-18 z^5 a^{-1} -5 z^5 a^{-3} +z^5 a^{-5} +15 a^4 z^4+21 a^2 z^4-25 z^4 a^{-2} -9 z^4 a^{-4} -10 z^4-9 a^3 z^3+3 a z^3+17 z^3 a^{-1} +3 z^3 a^{-3} -2 z^3 a^{-5} -11 a^4 z^2-14 a^2 z^2+16 z^2 a^{-2} +5 z^2 a^{-4} +8 z^2+2 a^3 z-2 a z-6 z a^{-1} -2 z a^{-3} +2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
