K13n1472
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1472/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-16 t+21-16 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1472/Conway Polynomial |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -3 z^4+2 a^2 z^2-3 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-5 a z^9+5 z^9 a^{-3} -7 a^2 z^8-9 z^8 a^{-2} +5 z^8 a^{-4} -21 z^8+8 a z^7-13 z^7 a^{-1} -18 z^7 a^{-3} +3 z^7 a^{-5} +20 a^2 z^6+3 z^6 a^{-2} -17 z^6 a^{-4} +z^6 a^{-6} +41 z^6+2 a^3 z^5+3 a z^5+28 z^5 a^{-1} +18 z^5 a^{-3} -9 z^5 a^{-5} -21 a^2 z^4+11 z^4 a^{-2} +14 z^4 a^{-4} -3 z^4 a^{-6} -27 z^4-4 a^3 z^3-8 a z^3-14 z^3 a^{-1} -6 z^3 a^{-3} +4 z^3 a^{-5} +7 a^2 z^2-7 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} +7 z^2+a^3 z+2 a z+2 z a^{-1} -z a^{-5} -a^2+ a^{-2} + a^{-4} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |