K13n381
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n381/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+26 t-29+26 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n381/Conway Polynomial |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-9 z^4 a^{-2} +3 z^4 a^{-4} +7 z^4-2 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2+1 }[/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^8-16 z^8 a^{-2} -6 z^8 a^{-4} +z^8 a^{-6} -5 z^8+a^3 z^7-20 a z^7-44 z^7 a^{-1} -31 z^7 a^{-3} -8 z^7 a^{-5} -14 a^2 z^6+z^6 a^{-2} +7 z^6 a^{-4} +2 z^6 a^{-6} -18 z^6-3 a^3 z^5+17 a z^5+51 z^5 a^{-1} +46 z^5 a^{-3} +19 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4+15 z^4 a^{-2} -z^4 a^{-6} +z^4 a^{-8} +26 z^4+2 a^3 z^3-6 a z^3-24 z^3 a^{-1} -27 z^3 a^{-3} -16 z^3 a^{-5} -5 z^3 a^{-7} -4 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -10 z^2+a z+4 z a^{-1} +6 z a^{-3} +4 z a^{-5} +z a^{-7} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
