K13n2140
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2140/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+t^2+2 t-3+2 t^{-1} + t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2140/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-5 a^4 z^4+16 a^2 z^4-z^4 a^{-2} -z^4-7 a^4 z^2+15 a^2 z^2-2 z^2 a^{-2} -2 z^2-3 a^4+5 a^2- a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+2 a^3 z^9+a z^9+z^9 a^{-1} +2 a^6 z^8-6 a^4 z^8-8 a^2 z^8+2 z^8 a^{-2} +2 z^8+a^7 z^7-11 a^5 z^7-15 a^3 z^7-7 a z^7-3 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6+11 a^4 z^6+20 a^2 z^6-10 z^6 a^{-2} -11 z^6-5 a^7 z^5+17 a^5 z^5+33 a^3 z^5+11 a z^5-5 z^5 a^{-1} -5 z^5 a^{-3} +12 a^6 z^4-13 a^4 z^4-27 a^2 z^4+13 z^4 a^{-2} +11 z^4+6 a^7 z^3-12 a^5 z^3-31 a^3 z^3-8 a z^3+12 z^3 a^{-1} +7 z^3 a^{-3} -3 a^6 z^2+9 a^4 z^2+18 a^2 z^2-6 z^2 a^{-2} -a^7 z+4 a^5 z+9 a^3 z+3 a z-4 z a^{-1} -3 z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |