K13n2660
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2660/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-t^2+8 t-11+8 t^{-1} - t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2660/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+15 z^4 a^{-2} -2 z^4 a^{-4} -z^4 a^{-6} -5 z^4+13 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -6 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}+a z^9-6 z^9 a^{-1} -7 z^9 a^{-3} -24 z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} -15 z^8-7 a z^7+6 z^7 a^{-1} +12 z^7 a^{-3} +2 z^7 a^{-5} +3 z^7 a^{-7} +58 z^6 a^{-2} +21 z^6 a^{-4} +2 z^6 a^{-6} +3 z^6 a^{-8} +36 z^6+15 a z^5+8 z^5 a^{-1} -3 z^5 a^{-3} -2 z^5 a^{-5} -5 z^5 a^{-7} +z^5 a^{-9} -54 z^4 a^{-2} -20 z^4 a^{-4} -8 z^4 a^{-6} -7 z^4 a^{-8} -35 z^4-11 a z^3-9 z^3 a^{-1} +z^3 a^{-3} -z^3 a^{-5} -2 z^3 a^{-7} -2 z^3 a^{-9} +24 z^2 a^{-2} +10 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2 a^{-8} +13 z^2+a z+z a^{-1} +z a^{-7} +z a^{-9} -4 a^{-2} -2 a^{-4} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
