K13n3350
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3350/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-5 t^2-4 t+11-4 t^{-1} -5 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3350/Conway Polynomial |
| Determinant | 3 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +z^6 a^{-8} +4 z^4 a^{-4} -5 z^4 a^{-6} +6 z^4 a^{-8} +3 z^2 a^{-4} +6 z^2 a^{-8} -4 z^2 a^{-10} + a^{-4} + a^{-6} + a^{-8} -3 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +4 z^{10} a^{-8} +z^{10} a^{-10} +3 z^9 a^{-5} -2 z^9 a^{-7} -4 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -16 z^8 a^{-6} -25 z^8 a^{-8} -5 z^8 a^{-10} +3 z^8 a^{-12} -16 z^7 a^{-5} -16 z^7 a^{-7} -6 z^7 a^{-9} -3 z^7 a^{-11} +3 z^7 a^{-13} -5 z^6 a^{-4} +19 z^6 a^{-6} +36 z^6 a^{-8} -z^6 a^{-10} -12 z^6 a^{-12} +z^6 a^{-14} +22 z^5 a^{-5} +38 z^5 a^{-7} +20 z^5 a^{-9} -7 z^5 a^{-11} -11 z^5 a^{-13} +7 z^4 a^{-4} -2 z^4 a^{-6} -7 z^4 a^{-8} +12 z^4 a^{-10} +7 z^4 a^{-12} -3 z^4 a^{-14} -9 z^3 a^{-5} -24 z^3 a^{-7} -10 z^3 a^{-9} +12 z^3 a^{-11} +7 z^3 a^{-13} -4 z^2 a^{-4} -3 z^2 a^{-6} -7 z^2 a^{-8} -10 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +z a^{-5} +6 z a^{-7} +2 z a^{-9} -5 z a^{-11} -2 z a^{-13} + a^{-4} - a^{-6} + a^{-8} +3 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. |
