K13n4254
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4254/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-5 t^2+3 t-1+3 t^{-1} -5 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4254/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +4 z^4 a^{-4} -5 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -6 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +4 a^{-6} -6 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +4 z^{10} a^{-8} +z^{10} a^{-10} +3 z^9 a^{-5} -z^9 a^{-7} -4 z^9 a^{-9} +z^8 a^{-4} -14 z^8 a^{-6} -23 z^8 a^{-8} -7 z^8 a^{-10} +z^8 a^{-12} -15 z^7 a^{-5} -16 z^7 a^{-7} -4 z^7 a^{-9} -z^7 a^{-11} +2 z^7 a^{-13} -5 z^6 a^{-4} +14 z^6 a^{-6} +36 z^6 a^{-8} +11 z^6 a^{-10} -5 z^6 a^{-12} +z^6 a^{-14} +20 z^5 a^{-5} +31 z^5 a^{-7} +19 z^5 a^{-9} -z^5 a^{-11} -9 z^5 a^{-13} +8 z^4 a^{-4} -2 z^4 a^{-6} -25 z^4 a^{-8} -9 z^4 a^{-10} +2 z^4 a^{-12} -4 z^4 a^{-14} -7 z^3 a^{-5} -19 z^3 a^{-7} -20 z^3 a^{-9} +8 z^3 a^{-13} -5 z^2 a^{-4} +4 z^2 a^{-6} +15 z^2 a^{-8} +4 z^2 a^{-10} +z^2 a^{-12} +3 z^2 a^{-14} +7 z a^{-7} +9 z a^{-9} -2 z a^{-13} + a^{-4} -4 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. |
