K12n312
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+7 q^4-8 q^3+8 q^2-7 q+6-3 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+1 }[/math] |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +z^4-6 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +2 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +2 z^8 a^{-4} +3 z^8 a^{-6} +z^8-9 z^7 a^{-1} -21 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} -15 z^6 a^{-2} -23 z^6 a^{-4} -13 z^6 a^{-6} -5 z^6+13 z^5 a^{-1} +24 z^5 a^{-3} +7 z^5 a^{-5} -4 z^5 a^{-7} +28 z^4 a^{-2} +33 z^4 a^{-4} +15 z^4 a^{-6} +10 z^4+a z^3-6 z^3 a^{-1} -10 z^3 a^{-3} +z^3 a^{-5} +4 z^3 a^{-7} -17 z^2 a^{-2} -17 z^2 a^{-4} -6 z^2 a^{-6} -6 z^2+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
