K13n3850
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3850/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+10 t-11+10 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3850/Conway Polynomial |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -z^6 a^{-4} +z^6-a^2 z^4+4 z^4 a^{-2} -6 z^4 a^{-4} +z^4 a^{-6} +3 z^4-2 a^2 z^2+6 z^2 a^{-2} -10 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2+4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +3 z^{10}+4 a z^9-4 z^9 a^{-3} +2 z^9 a^{-5} +2 z^9 a^{-7} +3 a^2 z^8-23 z^8 a^{-2} -16 z^8 a^{-4} -6 z^8 a^{-6} +z^8 a^{-8} -11 z^8+a^3 z^7-17 a z^7-18 z^7 a^{-1} -5 z^7 a^{-3} -18 z^7 a^{-5} -13 z^7 a^{-7} -13 a^2 z^6+43 z^6 a^{-2} +37 z^6 a^{-4} +6 z^6 a^{-6} -6 z^6 a^{-8} +5 z^6-4 a^3 z^5+18 a z^5+35 z^5 a^{-1} +29 z^5 a^{-3} +40 z^5 a^{-5} +24 z^5 a^{-7} +14 a^2 z^4-38 z^4 a^{-2} -37 z^4 a^{-4} +2 z^4 a^{-6} +10 z^4 a^{-8} +5 z^4+3 a^3 z^3-8 a z^3-26 z^3 a^{-1} -30 z^3 a^{-3} -31 z^3 a^{-5} -16 z^3 a^{-7} -5 a^2 z^2+17 z^2 a^{-2} +21 z^2 a^{-4} +z^2 a^{-6} -5 z^2 a^{-8} -3 z^2+2 a z+6 z a^{-1} +9 z a^{-3} +9 z a^{-5} +4 z a^{-7} -4 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. |
