K13n1232
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1232/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+33 t-43+33 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1232/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +z^4 a^{-4} -3 z^4 a^{-6} -z^4+3 z^2 a^{-2} +z^2 a^{-4} -6 z^2 a^{-6} +2 z^2 a^{-8} -z^2+2 a^{-2} + a^{-4} -4 a^{-6} +2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +6 z^{10} a^{-6} +2 z^{10} a^{-8} +7 z^9 a^{-3} +9 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +8 z^8 a^{-2} -12 z^8 a^{-6} -4 z^8 a^{-8} +7 z^7 a^{-1} -9 z^7 a^{-3} -30 z^7 a^{-5} -13 z^7 a^{-7} +z^7 a^{-9} -10 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +3 z^6 a^{-8} +3 z^6 a^{-10} +4 z^6+a z^5-10 z^5 a^{-1} +4 z^5 a^{-3} +37 z^5 a^{-5} +11 z^5 a^{-7} -11 z^5 a^{-9} +19 z^4 a^{-4} +17 z^4 a^{-6} -6 z^4 a^{-8} -10 z^4 a^{-10} -6 z^4-a z^3+2 z^3 a^{-1} -3 z^3 a^{-3} -17 z^3 a^{-5} +11 z^3 a^{-9} +3 z^2 a^{-2} -8 z^2 a^{-4} -15 z^2 a^{-6} +z^2 a^{-8} +7 z^2 a^{-10} +2 z^2+3 z a^{-3} +3 z a^{-5} -4 z a^{-7} -4 z a^{-9} -2 a^{-2} + a^{-4} +4 a^{-6} +2 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
