K13n2331
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2331/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-21 t+29-21 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2331/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-3 a^2 z^4+z^4 a^{-2} -2 z^4+2 a^4 z^2-4 a^2 z^2-z^2+a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+5 a^3 z^9+a z^9-4 z^9 a^{-1} +5 a^4 z^8-6 a^2 z^8-5 z^8 a^{-2} -16 z^8+3 a^5 z^7-15 a^3 z^7-9 a z^7+10 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-16 a^4 z^6-2 a^2 z^6+16 z^6 a^{-2} +31 z^6-9 a^5 z^5+12 a^3 z^5+16 a z^5-3 z^5 a^{-1} +2 z^5 a^{-3} -3 a^6 z^4+14 a^4 z^4+14 a^2 z^4-14 z^4 a^{-2} +2 z^4 a^{-4} -19 z^4+5 a^5 z^3-a^3 z^3-6 a z^3-5 z^3 a^{-1} -5 z^3 a^{-3} +a^6 z^2-6 a^4 z^2-9 a^2 z^2-3 z^2 a^{-4} +z^2-a^5 z-a^3 z+2 z a^{-1} +2 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
