K13n4050
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4050/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-38 t+47-38 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4050/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +5 z^6 a^{-6} -2 z^6 a^{-8} -2 z^4 a^{-4} +12 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-4} +14 z^2 a^{-6} -11 z^2 a^{-8} +2 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} +5 z^{10} a^{-6} +15 z^{10} a^{-8} +10 z^{10} a^{-10} +2 z^9 a^{-5} -z^9 a^{-7} +10 z^9 a^{-9} +13 z^9 a^{-11} -18 z^8 a^{-6} -52 z^8 a^{-8} -25 z^8 a^{-10} +9 z^8 a^{-12} -2 z^7 a^{-5} -15 z^7 a^{-7} -56 z^7 a^{-9} -39 z^7 a^{-11} +4 z^7 a^{-13} +5 z^6 a^{-4} +45 z^6 a^{-6} +84 z^6 a^{-8} +21 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +9 z^5 a^{-5} +50 z^5 a^{-7} +94 z^5 a^{-9} +44 z^5 a^{-11} -8 z^5 a^{-13} -9 z^4 a^{-4} -50 z^4 a^{-6} -61 z^4 a^{-8} -4 z^4 a^{-10} +14 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-3} -15 z^3 a^{-5} -52 z^3 a^{-7} -65 z^3 a^{-9} -25 z^3 a^{-11} +z^3 a^{-13} +4 z^2 a^{-4} +23 z^2 a^{-6} +24 z^2 a^{-8} +z^2 a^{-10} -4 z^2 a^{-12} +z a^{-3} +5 z a^{-5} +17 z a^{-7} +19 z a^{-9} +6 z a^{-11} -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. |
