K13n421
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n421/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-10 t^2+14 t-15+14 t^{-1} -10 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n421/Conway Polynomial |
| Determinant | 75 |
| 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} -7 z^4 a^{-6} +3 z^4 a^{-8} +5 z^2 a^{-4} -2 z^2 a^{-6} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +3 z^9 a^{-5} +4 z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} +z^8 a^{-4} -10 z^8 a^{-6} -23 z^8 a^{-8} -11 z^8 a^{-10} +z^8 a^{-12} -14 z^7 a^{-5} -34 z^7 a^{-7} -35 z^7 a^{-9} -15 z^7 a^{-11} -5 z^6 a^{-4} +15 z^6 a^{-8} +5 z^6 a^{-10} -5 z^6 a^{-12} +19 z^5 a^{-5} +50 z^5 a^{-7} +55 z^5 a^{-9} +24 z^5 a^{-11} +9 z^4 a^{-4} +15 z^4 a^{-6} +6 z^4 a^{-8} +8 z^4 a^{-10} +8 z^4 a^{-12} -8 z^3 a^{-5} -27 z^3 a^{-7} -35 z^3 a^{-9} -16 z^3 a^{-11} -7 z^2 a^{-4} -7 z^2 a^{-6} -z^2 a^{-8} -5 z^2 a^{-10} -4 z^2 a^{-12} +7 z a^{-7} +11 z a^{-9} +4 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
