K13n3621
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3621/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-13 t^2+22 t-25+22 t^{-1} -13 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3621/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+2 z^4 a^{-2} -8 z^4+2 a^2 z^2-z^2 a^{-2} +z^2 a^{-4} -3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9+a z^9+3 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -33 z^8-18 a^3 z^7-29 a z^7-17 z^7 a^{-1} -6 z^7 a^{-3} -4 a^4 z^6+19 a^2 z^6+6 z^6 a^{-2} +29 z^6+24 a^3 z^5+39 a z^5+14 z^5 a^{-1} +z^5 a^{-5} +5 a^4 z^4+z^4 a^{-4} -6 z^4-9 a^3 z^3-11 a z^3+6 z^3 a^{-3} +4 z^3 a^{-5} -2 a^4 z^2-2 a^2 z^2-5 z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} -2 z^2-a z-3 z a^{-1} -4 z a^{-3} -2 z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
