K13n5024
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n5024/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+26 t^2-42 t+49-42 t^{-1} +26 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n5024/Conway Polynomial |
| Determinant | 209 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +11 z^6 a^{-6} -3 z^6 a^{-8} -6 z^4 a^{-4} +23 z^4 a^{-6} -12 z^4 a^{-8} +z^4 a^{-10} -4 z^2 a^{-4} +21 z^2 a^{-6} -16 z^2 a^{-8} +3 z^2 a^{-10} +6 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-7} +3 z^{11} a^{-9} +8 z^{10} a^{-6} +16 z^{10} a^{-8} +8 z^{10} a^{-10} +6 z^9 a^{-5} +8 z^9 a^{-7} +12 z^9 a^{-9} +10 z^9 a^{-11} +z^8 a^{-4} -23 z^8 a^{-6} -39 z^8 a^{-8} -7 z^8 a^{-10} +8 z^8 a^{-12} -12 z^7 a^{-5} -30 z^7 a^{-7} -38 z^7 a^{-9} -16 z^7 a^{-11} +4 z^7 a^{-13} +8 z^6 a^{-4} +51 z^6 a^{-6} +55 z^6 a^{-8} -4 z^6 a^{-10} -15 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +19 z^5 a^{-5} +46 z^5 a^{-7} +44 z^5 a^{-9} +6 z^5 a^{-11} -8 z^5 a^{-13} -18 z^4 a^{-4} -60 z^4 a^{-6} -52 z^4 a^{-8} +8 z^4 a^{-12} -2 z^4 a^{-14} -5 z^3 a^{-3} -16 z^3 a^{-5} -35 z^3 a^{-7} -31 z^3 a^{-9} -2 z^3 a^{-11} +5 z^3 a^{-13} +9 z^2 a^{-4} +32 z^2 a^{-6} +28 z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +z a^{-3} +3 z a^{-5} +10 z a^{-7} +10 z a^{-9} +z a^{-11} -z a^{-13} -6 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
