K13n1984
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1984/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-34 t+43-34 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1984/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-2 z^6 a^{-2} +5 z^6-3 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +10 z^4-3 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +7 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+5 z^{10} a^{-2} +7 z^{10}+a^3 z^9+5 a z^9+14 z^9 a^{-1} +10 z^9 a^{-3} -3 a^2 z^8+4 z^8 a^{-2} +10 z^8 a^{-4} -9 z^8+a^3 z^7-13 a z^7-37 z^7 a^{-1} -18 z^7 a^{-3} +5 z^7 a^{-5} +4 a^4 z^6+12 a^2 z^6-31 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +a^5 z^5+3 a^3 z^5+23 a z^5+32 z^5 a^{-1} +2 z^5 a^{-3} -9 z^5 a^{-5} -7 a^4 z^4-12 a^2 z^4+27 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-6} +11 z^4-2 a^5 z^3-8 a^3 z^3-16 a z^3-9 z^3 a^{-1} +3 z^3 a^{-3} +2 z^3 a^{-5} +3 a^4 z^2+2 a^2 z^2-6 z^2 a^{-2} -z^2 a^{-4} -6 z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
