K13n2853
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2853/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+32 t-43+32 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2853/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+z^4 a^{-2} -2 z^4 a^{-4} +2 z^4-a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +2 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +3 z^{10} a^{-4} +4 z^{10}+6 a z^9+10 z^9 a^{-1} +7 z^9 a^{-3} +3 z^9 a^{-5} +4 a^2 z^8-15 z^8 a^{-2} -5 z^8 a^{-4} +z^8 a^{-6} -5 z^8+a^3 z^7-20 a z^7-41 z^7 a^{-1} -25 z^7 a^{-3} -5 z^7 a^{-5} -14 a^2 z^6+7 z^6 a^{-2} +13 z^6 a^{-4} +5 z^6 a^{-6} -15 z^6-3 a^3 z^5+18 a z^5+47 z^5 a^{-1} +36 z^5 a^{-3} +15 z^5 a^{-5} +5 z^5 a^{-7} +13 a^2 z^4-3 z^4 a^{-2} -17 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +20 z^4+2 a^3 z^3-6 a z^3-24 z^3 a^{-1} -26 z^3 a^{-3} -14 z^3 a^{-5} -4 z^3 a^{-7} -3 a^2 z^2+4 z^2 a^{-2} +8 z^2 a^{-4} +2 z^2 a^{-6} -5 z^2+a z+4 z a^{-1} +6 z a^{-3} +2 z a^{-5} -z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
