K13n2469
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2469/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-19 t^2+38 t-47+38 t^{-1} -19 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2469/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +2 z^6 a^{-4} +z^6-11 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-6} +2 z^4+a^2 z^2-10 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} +z^2+a^2-3 a^{-2} +5 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10}+a z^9+6 z^9 a^{-1} +15 z^9 a^{-3} +10 z^9 a^{-5} -4 z^8 a^{-2} +8 z^8 a^{-4} +12 z^8 a^{-6} +3 a z^7-11 z^7 a^{-1} -31 z^7 a^{-3} -8 z^7 a^{-5} +9 z^7 a^{-7} +3 a^2 z^6-13 z^6 a^{-2} -29 z^6 a^{-4} -18 z^6 a^{-6} +4 z^6 a^{-8} -3 z^6-13 a z^5-3 z^5 a^{-1} +18 z^5 a^{-3} -6 z^5 a^{-5} -13 z^5 a^{-7} +z^5 a^{-9} -8 a^2 z^4+12 z^4 a^{-2} +26 z^4 a^{-4} +12 z^4 a^{-6} -4 z^4 a^{-8} -6 z^4+11 a z^3+7 z^3 a^{-1} -5 z^3 a^{-3} +8 z^3 a^{-5} +8 z^3 a^{-7} -z^3 a^{-9} +6 a^2 z^2-8 z^2 a^{-2} -15 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +7 z^2-2 a z-2 z a^{-1} -2 z a^{-5} -2 z a^{-7} -a^2+3 a^{-2} +5 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. |
