K13n321
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n321/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+20 t^2-42 t+53-42 t^{-1} +20 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n321/Conway Polynomial |
| Determinant | 185 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} +z^4 a^{-2} -10 z^4 a^{-6} +5 z^4 a^{-8} +2 z^2 a^{-2} +4 z^2 a^{-4} -13 z^2 a^{-6} +11 z^2 a^{-8} -2 z^2 a^{-10} + a^{-2} +3 a^{-4} -7 a^{-6} +6 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +7 z^9 a^{-5} +15 z^9 a^{-7} +11 z^9 a^{-9} +3 z^9 a^{-11} +6 z^8 a^{-4} +10 z^8 a^{-6} +8 z^8 a^{-8} +5 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -9 z^7 a^{-5} -26 z^7 a^{-7} -11 z^7 a^{-9} +3 z^7 a^{-11} +z^6 a^{-2} -12 z^6 a^{-4} -41 z^6 a^{-6} -42 z^6 a^{-8} -8 z^6 a^{-10} +6 z^6 a^{-12} -6 z^5 a^{-3} +z^5 a^{-5} +5 z^5 a^{-7} -12 z^5 a^{-9} -7 z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +11 z^4 a^{-4} +50 z^4 a^{-6} +45 z^4 a^{-8} -2 z^4 a^{-10} -11 z^4 a^{-12} +3 z^3 a^{-3} +3 z^3 a^{-5} +10 z^3 a^{-7} +16 z^3 a^{-9} +2 z^3 a^{-11} -4 z^3 a^{-13} +3 z^2 a^{-2} -8 z^2 a^{-4} -30 z^2 a^{-6} -24 z^2 a^{-8} +5 z^2 a^{-12} -2 z a^{-5} -5 z a^{-7} -5 z a^{-9} -z a^{-11} +z a^{-13} - a^{-2} +3 a^{-4} +7 a^{-6} +6 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. |
