K13n2313
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2313/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-40 t+49-40 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2313/Conway Polynomial |
| Determinant | 189 |
| Signature | 0 |
| 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+5 z^4 a^{-2} -2 z^4 a^{-4} -4 z^4-z^2 a^{-2} +2 z^2-2 a^2-4 a^{-2} + a^{-4} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +17 z^{10} a^{-2} +9 z^{10} a^{-4} +8 z^{10}+7 a z^9+10 z^9 a^{-1} +13 z^9 a^{-3} +10 z^9 a^{-5} +2 a^2 z^8-48 z^8 a^{-2} -21 z^8 a^{-4} +5 z^8 a^{-6} -20 z^8-15 a z^7-48 z^7 a^{-1} -66 z^7 a^{-3} -32 z^7 a^{-5} +z^7 a^{-7} +6 a^2 z^6+43 z^6 a^{-2} +3 z^6 a^{-4} -14 z^6 a^{-6} +32 z^6+6 a^3 z^5+26 a z^5+63 z^5 a^{-1} +73 z^5 a^{-3} +28 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4-6 a^2 z^4-16 z^4 a^{-2} +8 z^4 a^{-4} +8 z^4 a^{-6} -23 z^4-3 a^3 z^3-15 a z^3-29 z^3 a^{-1} -24 z^3 a^{-3} -7 z^3 a^{-5} -z^2 a^{-2} -z^2 a^{-4} -a^3 z-a z-z a^{-1} -2 z a^{-3} -z a^{-5} +2 a^2+4 a^{-2} + a^{-4} +6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
