K13n1528
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1528/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+2 t^2-6 t+7-6 t^{-1} +2 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1528/Conway Polynomial |
| Determinant | 17 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -14 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +9 z^2 a^{-4} -9 z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} +3 a^{-4} -2 a^{-6} - a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} -z^9 a^{-9} +z^8 a^{-4} +z^8 a^{-6} -z^8 a^{-8} -z^8 a^{-10} -7 z^7 a^{-5} -z^7 a^{-7} +7 z^7 a^{-9} +z^7 a^{-11} -7 z^6 a^{-4} -9 z^6 a^{-6} +6 z^6 a^{-8} +10 z^6 a^{-10} +2 z^6 a^{-12} +13 z^5 a^{-5} +3 z^5 a^{-7} -11 z^5 a^{-9} +z^5 a^{-13} +15 z^4 a^{-4} +21 z^4 a^{-6} -8 z^4 a^{-8} -20 z^4 a^{-10} -6 z^4 a^{-12} -5 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} -4 z^3 a^{-11} -3 z^3 a^{-13} -12 z^2 a^{-4} -13 z^2 a^{-6} +5 z^2 a^{-8} +11 z^2 a^{-10} +5 z^2 a^{-12} -z a^{-5} -z a^{-7} -z a^{-9} +z a^{-11} +2 z a^{-13} +3 a^{-4} +2 a^{-6} - a^{-8} -2 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
