K13n2517
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2517/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-25 t^2+40 t-43+40 t^{-1} -25 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2517/Conway Polynomial |
| Determinant | 191 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +2 z^6 a^{-4} +2 z^6-a^2 z^4-7 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-6} +5 z^4-a^2 z^2-8 z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2+a^2-3 a^{-2} +3 a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +6 z^{10} a^{-4} +7 z^{10}+9 a z^9+17 z^9 a^{-1} +15 z^9 a^{-3} +7 z^9 a^{-5} +5 a^2 z^8-20 z^8 a^{-2} -4 z^8 a^{-4} +4 z^8 a^{-6} -7 z^8+a^3 z^7-25 a z^7-62 z^7 a^{-1} -49 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -14 a^2 z^6-17 z^6 a^{-2} -7 z^6 a^{-4} -2 z^6 a^{-6} -26 z^6-2 a^3 z^5+17 a z^5+55 z^5 a^{-1} +50 z^5 a^{-3} +19 z^5 a^{-5} +5 z^5 a^{-7} +11 a^2 z^4+35 z^4 a^{-2} +16 z^4 a^{-4} +6 z^4 a^{-6} +3 z^4 a^{-8} +33 z^4+a^3 z^3-3 a z^3-19 z^3 a^{-1} -20 z^3 a^{-3} -11 z^3 a^{-5} -6 z^3 a^{-7} -2 a^2 z^2-17 z^2 a^{-2} -11 z^2 a^{-4} -6 z^2 a^{-6} -4 z^2 a^{-8} -10 z^2+a z+3 z a^{-1} +z a^{-3} +z a^{-5} +2 z a^{-7} -a^2+3 a^{-2} +3 a^{-4} +2 a^{-6} + a^{-8} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
