K13n3730
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3730/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-15 t^2+31 t-37+31 t^{-1} -15 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3730/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^4 a^{-2} +6 z^4 a^{-4} -3 z^4 a^{-6} -z^4-2 z^2 a^{-2} +6 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -z^2-2 a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10} a^{-6} +z^9 a^{-1} +3 z^9 a^{-3} +9 z^9 a^{-5} +7 z^9 a^{-7} -5 z^8 a^{-2} -13 z^8 a^{-4} -z^8 a^{-6} +7 z^8 a^{-8} -14 z^7 a^{-3} -32 z^7 a^{-5} -14 z^7 a^{-7} +4 z^7 a^{-9} +12 z^6 a^{-2} +10 z^6 a^{-4} -15 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+z^5 a^{-1} +28 z^5 a^{-3} +44 z^5 a^{-5} +7 z^5 a^{-7} -9 z^5 a^{-9} -10 z^4 a^{-2} +7 z^4 a^{-4} +18 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} -9 z^4-2 a z^3-3 z^3 a^{-1} -14 z^3 a^{-3} -24 z^3 a^{-5} -7 z^3 a^{-7} +4 z^3 a^{-9} +2 z^2 a^{-2} -6 z^2 a^{-4} -9 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +3 z^2-z a^{-1} -z a^{-3} +3 z a^{-5} +3 z a^{-7} +2 a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
