K13n271
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n271/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n271/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-z^4 a^{-2} +2 z^4 a^{-4} -3 z^4+2 a^2 z^2+3 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -5 z^2+a^2+4 a^{-2} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+3 a z^9+4 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +a^2 z^8-19 z^8 a^{-2} -5 z^8 a^{-4} +3 z^8 a^{-6} -10 z^8-12 a z^7-26 z^7 a^{-1} -27 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -a^2 z^6+17 z^6 a^{-2} -8 z^6 a^{-4} -11 z^6 a^{-6} +13 z^6+3 a^3 z^5+24 a z^5+45 z^5 a^{-1} +34 z^5 a^{-3} +6 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4+2 a^2 z^4-4 z^4 a^{-2} +10 z^4 a^{-4} +11 z^4 a^{-6} -2 z^4-6 a^3 z^3-17 a z^3-28 z^3 a^{-1} -22 z^3 a^{-3} +5 z^3 a^{-7} -2 a^4 z^2-a^2 z^2+3 z^2 a^{-2} -4 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2+2 a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} -2 z a^{-7} -a^2-4 a^{-2} + a^{-6} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
