K13n133
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n133/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-t^3-5 t^2+13 t-17+13 t^{-1} -5 t^{-2} - t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n133/Conway Polynomial |
| Determinant | 43 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -29 z^6 a^{-8} +9 z^6 a^{-10} +21 z^4 a^{-6} -44 z^4 a^{-8} +24 z^4 a^{-10} -2 z^4 a^{-12} +21 z^2 a^{-6} -33 z^2 a^{-8} +24 z^2 a^{-10} -5 z^2 a^{-12} +6 a^{-6} -10 a^{-8} +8 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} -8 z^9 a^{-7} -8 z^9 a^{-9} +z^9 a^{-11} +z^9 a^{-13} -9 z^8 a^{-6} -27 z^8 a^{-8} -19 z^8 a^{-10} +2 z^8 a^{-12} +3 z^8 a^{-14} +20 z^7 a^{-7} +16 z^7 a^{-9} -7 z^7 a^{-11} +z^7 a^{-13} +4 z^7 a^{-15} +29 z^6 a^{-6} +80 z^6 a^{-8} +58 z^6 a^{-10} -4 z^6 a^{-14} +3 z^6 a^{-16} -17 z^5 a^{-7} -3 z^5 a^{-9} +22 z^5 a^{-11} -7 z^5 a^{-15} +z^5 a^{-17} -42 z^4 a^{-6} -99 z^4 a^{-8} -69 z^4 a^{-10} -5 z^4 a^{-12} +z^4 a^{-14} -6 z^4 a^{-16} +z^3 a^{-7} -9 z^3 a^{-9} -18 z^3 a^{-11} -5 z^3 a^{-13} +z^3 a^{-15} -2 z^3 a^{-17} +27 z^2 a^{-6} +52 z^2 a^{-8} +38 z^2 a^{-10} +9 z^2 a^{-12} -2 z^2 a^{-14} +2 z^2 a^{-16} +2 z a^{-7} +3 z a^{-9} +5 z a^{-11} +3 z a^{-13} +z a^{-17} -6 a^{-6} -10 a^{-8} -8 a^{-10} -3 a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
