K13n3346
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3346/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-7 t+11-7 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3346/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2+2 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+2 a^2+ a^{-2} - a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -4 z^9 a^{-3} -z^9 a^{-5} +3 z^9 a^{-7} -6 z^8 a^{-2} -22 z^8 a^{-4} -15 z^8 a^{-6} +z^8 a^{-8} +a z^7-z^7 a^{-1} -z^7 a^{-3} -15 z^7 a^{-5} -16 z^7 a^{-7} +a^2 z^6+8 z^6 a^{-2} +33 z^6 a^{-4} +19 z^6 a^{-6} -5 z^6 a^{-8} -5 a z^5+z^5 a^{-1} +9 z^5 a^{-3} +27 z^5 a^{-5} +24 z^5 a^{-7} -5 a^2 z^4-5 z^4 a^{-2} -19 z^4 a^{-4} -7 z^4 a^{-6} +7 z^4 a^{-8} -5 z^4+4 a z^3-4 z^3 a^{-1} -8 z^3 a^{-3} -11 z^3 a^{-5} -11 z^3 a^{-7} +6 a^2 z^2+z^2 a^{-2} +5 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} +7 z^2+3 z a^{-1} +3 z a^{-3} +z a^{-5} +z a^{-7} -2 a^2- a^{-2} - a^{-4} - a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
