K13n1524
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1524/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+45 t-55+45 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1524/Conway Polynomial |
| Determinant | 207 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +5 z^4-a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +2 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +14 z^{10} a^{-2} +7 z^{10} a^{-4} +7 z^{10}+9 a z^9+19 z^9 a^{-1} +19 z^9 a^{-3} +9 z^9 a^{-5} +5 a^2 z^8-19 z^8 a^{-2} -3 z^8 a^{-4} +5 z^8 a^{-6} -6 z^8+a^3 z^7-25 a z^7-64 z^7 a^{-1} -53 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6-14 z^6 a^{-2} -2 z^6 a^{-4} +2 z^6 a^{-6} -24 z^6-2 a^3 z^5+19 a z^5+53 z^5 a^{-1} +47 z^5 a^{-3} +24 z^5 a^{-5} +9 z^5 a^{-7} +11 a^2 z^4+13 z^4 a^{-2} -8 z^4 a^{-4} -4 z^4 a^{-6} +3 z^4 a^{-8} +25 z^4+a^3 z^3-3 a z^3-14 z^3 a^{-1} -22 z^3 a^{-3} -21 z^3 a^{-5} -9 z^3 a^{-7} -a^2 z^2+6 z^2 a^{-2} +9 z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} -z^2-a z+4 z a^{-3} +4 z a^{-5} +z a^{-7} -a^2-3 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. |
