K13n1717
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1717/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-t^2+10 t-15+10 t^{-1} - t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1717/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +8 z^6 a^{-2} -z^6 a^{-4} -z^6+21 z^4 a^{-2} -8 z^4 a^{-4} -6 z^4+25 z^2 a^{-2} -14 z^2 a^{-4} +2 z^2 a^{-6} -9 z^2+11 a^{-2} -7 a^{-4} + a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+z^9 a^{-1} -11 z^8 a^{-2} -2 z^8 a^{-4} -9 z^8-8 a z^7-11 z^7 a^{-1} -2 z^7 a^{-3} +z^7 a^{-5} +41 z^6 a^{-2} +20 z^6 a^{-4} +5 z^6 a^{-6} +26 z^6+20 a z^5+35 z^5 a^{-1} +20 z^5 a^{-3} +9 z^5 a^{-5} +4 z^5 a^{-7} -59 z^4 a^{-2} -38 z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} -30 z^4-18 a z^3-37 z^3 a^{-1} -32 z^3 a^{-3} -18 z^3 a^{-5} -5 z^3 a^{-7} +39 z^2 a^{-2} +27 z^2 a^{-4} +4 z^2 a^{-6} +16 z^2+5 a z+13 z a^{-1} +15 z a^{-3} +7 z a^{-5} -11 a^{-2} -7 a^{-4} - a^{-6} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
