K13n4091
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4091/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-30 t+37-30 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4091/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -6 z^4 a^{-6} +2 z^4 a^{-8} +z^2 a^{-2} +5 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +5 z^{10} a^{-6} +6 z^{10} a^{-8} +z^{10} a^{-10} +9 z^9 a^{-5} +10 z^9 a^{-7} +z^9 a^{-9} +8 z^8 a^{-4} -4 z^8 a^{-6} -14 z^8 a^{-8} -2 z^8 a^{-10} +4 z^7 a^{-3} -22 z^7 a^{-5} -35 z^7 a^{-7} -8 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -19 z^6 a^{-4} -16 z^6 a^{-6} +12 z^6 a^{-8} +8 z^6 a^{-10} -8 z^5 a^{-3} +15 z^5 a^{-5} +43 z^5 a^{-7} +26 z^5 a^{-9} +6 z^5 a^{-11} -2 z^4 a^{-2} +12 z^4 a^{-4} +26 z^4 a^{-6} +6 z^4 a^{-8} -4 z^4 a^{-10} +2 z^4 a^{-12} +2 z^3 a^{-3} -6 z^3 a^{-5} -20 z^3 a^{-7} -23 z^3 a^{-9} -11 z^3 a^{-11} +z^2 a^{-2} -9 z^2 a^{-4} -14 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2 a^{-12} +5 z a^{-7} +7 z a^{-9} +2 z a^{-11} +3 a^{-4} +2 a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
