K13n3895
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3895/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-2 t^2-3 t+7-3 t^{-1} -2 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3895/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-2} +2 z^4 a^{-4} -11 z^4+4 a^2 z^2+z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -8 z^2+a^2+2 a^{-4} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +4 z^{10}+3 a^3 z^9-a z^9-4 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-15 a^2 z^8-14 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} -26 z^8-16 a^3 z^7-20 a z^7-10 z^7 a^{-1} -19 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+17 a^2 z^6+20 z^6 a^{-2} -14 z^6 a^{-4} -13 z^6 a^{-6} +43 z^6+24 a^3 z^5+41 a z^5+33 z^5 a^{-1} +28 z^5 a^{-3} +8 z^5 a^{-5} -4 z^5 a^{-7} +7 a^4 z^4-5 a^2 z^4-8 z^4 a^{-2} +21 z^4 a^{-4} +14 z^4 a^{-6} -27 z^4-13 a^3 z^3-24 a z^3-25 z^3 a^{-1} -18 z^3 a^{-3} +4 z^3 a^{-7} -3 a^4 z^2+2 a^2 z^2-z^2 a^{-2} -11 z^2 a^{-4} -5 z^2 a^{-6} +10 z^2+2 a^3 z+5 a z+6 z a^{-1} +4 z a^{-3} -z a^{-7} -a^2+2 a^{-4} + a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
