K13n2350
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2350/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+18 t-21+18 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2350/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -6 z^6 a^{-4} +2 z^6 a^{-6} +4 z^4 a^{-2} -13 z^4 a^{-4} +9 z^4 a^{-6} -z^4 a^{-8} +5 z^2 a^{-2} -11 z^2 a^{-4} +12 z^2 a^{-6} -3 z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} -z^9 a^{-5} +2 z^9 a^{-7} +4 z^9 a^{-9} -9 z^8 a^{-4} -21 z^8 a^{-6} -9 z^8 a^{-8} +3 z^8 a^{-10} -z^7 a^{-3} -3 z^7 a^{-5} -18 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} +5 z^6 a^{-2} +27 z^6 a^{-4} +39 z^6 a^{-6} +5 z^6 a^{-8} -12 z^6 a^{-10} +3 z^5 a^{-1} +6 z^5 a^{-3} +13 z^5 a^{-5} +28 z^5 a^{-7} +14 z^5 a^{-9} -4 z^5 a^{-11} -8 z^4 a^{-2} -34 z^4 a^{-4} -40 z^4 a^{-6} -3 z^4 a^{-8} +12 z^4 a^{-10} +z^4-4 z^3 a^{-1} -7 z^3 a^{-3} -14 z^3 a^{-5} -20 z^3 a^{-7} -5 z^3 a^{-9} +4 z^3 a^{-11} +6 z^2 a^{-2} +19 z^2 a^{-4} +20 z^2 a^{-6} +5 z^2 a^{-8} -3 z^2 a^{-10} -z^2+z a^{-1} +3 z a^{-3} +4 z a^{-5} +5 z a^{-7} +2 z a^{-9} -z a^{-11} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
