K13n4226
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4226/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-26 t+43-26 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4226/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-3 z^2 a^4+2 z^4 a^2-z^2 a^2-2 a^2+3 z^4+3 z^2+3-5 z^2 a^{-2} -3 a^{-2} +2 a^{-4} }[/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+2 a z^9-3 z^9 a^{-1} +5 a^4 z^8-3 a^2 z^8-4 z^8 a^{-2} -12 z^8+3 a^5 z^7-10 a^3 z^7-7 a z^7+7 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-11 a^4 z^6-5 a^2 z^6+11 z^6 a^{-2} +18 z^6-7 a^5 z^5+4 a^3 z^5+8 a z^5-z^5 a^{-1} +2 z^5 a^{-3} -3 a^6 z^4+4 a^4 z^4+10 a^2 z^4-4 z^4 a^{-2} +2 z^4 a^{-4} -3 z^4+3 a^5 z^3-5 a^3 z^3-3 a z^3+z^3 a^{-1} -4 z^3 a^{-3} +3 a^6 z^2-2 a^4 z^2-9 a^2 z^2-6 z^2 a^{-2} -4 z^2 a^{-4} -6 z^2+4 a^3 z+2 a z-2 z a^{-1} -a^6+2 a^2+3 a^{-2} +2 a^{-4} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
