K13n1580
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1580/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+11 t-17+11 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1580/Conway Polynomial |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-10} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^{10} a^{-12} +2 z^9 a^{-7} -3 z^9 a^{-9} -4 z^9 a^{-11} +z^9 a^{-13} +2 z^8 a^{-6} -9 z^8 a^{-8} -25 z^8 a^{-10} -14 z^8 a^{-12} +z^7 a^{-5} -7 z^7 a^{-7} -3 z^7 a^{-9} -2 z^7 a^{-11} -7 z^7 a^{-13} -8 z^6 a^{-6} +11 z^6 a^{-8} +52 z^6 a^{-10} +33 z^6 a^{-12} -3 z^5 a^{-5} +z^5 a^{-7} +8 z^5 a^{-9} +20 z^5 a^{-11} +16 z^5 a^{-13} +2 z^4 a^{-4} +8 z^4 a^{-6} -10 z^4 a^{-8} -47 z^4 a^{-10} -31 z^4 a^{-12} +z^3 a^{-3} +3 z^3 a^{-5} +7 z^3 a^{-7} -18 z^3 a^{-11} -13 z^3 a^{-13} +z^2 a^{-2} -3 z^2 a^{-4} -4 z^2 a^{-6} +8 z^2 a^{-8} +19 z^2 a^{-10} +11 z^2 a^{-12} -2 z a^{-5} -4 z a^{-7} -2 z a^{-9} +3 z a^{-11} +3 z a^{-13} - a^{-2} + a^{-4} + a^{-6} - a^{-8} -2 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
