K13n2291
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2291/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2291/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+3 a^2 z^4+z^4 a^{-2} -3 z^4-2 a^4 z^2+7 a^2 z^2+z^2 a^{-2} -5 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8+z^8 a^{-2} -4 a^3 z^7-8 a z^7-4 z^7 a^{-1} +2 a^4 z^6+5 a^2 z^6+2 z^6 a^{-2} +5 z^6+3 a^5 z^5+8 a^3 z^5+13 a z^5+12 z^5 a^{-1} +4 z^5 a^{-3} -10 a^4 z^4-18 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -10 z^4-7 a^5 z^3-14 a^3 z^3-14 a z^3-11 z^3 a^{-1} -4 z^3 a^{-3} +8 a^4 z^2+16 a^2 z^2-z^2 a^{-4} +9 z^2+3 a^5 z+6 a^3 z+5 a z+3 z a^{-1} +z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
