K13n1235
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1235/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+17 t^2-33 t+41-33 t^{-1} +17 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1235/Conway Polynomial |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -2 z^6+2 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} -6 z^4+4 a^2 z^2-6 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-6} -6 z^2+2 a^2-2 a^{-2} +5 a^{-4} -2 a^{-6} -2 }[/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}+4 a z^9+7 z^9 a^{-1} +7 z^9 a^{-3} +4 z^9 a^{-5} +3 a^2 z^8-5 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} +2 z^8+a^3 z^7+a z^7-8 z^7 a^{-1} -19 z^7 a^{-3} -10 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6-8 z^6 a^{-2} -17 z^6 a^{-4} -11 z^6 a^{-6} +z^6+5 a^3 z^5-5 a z^5-8 z^5 a^{-1} +8 z^5 a^{-3} +2 z^5 a^{-5} -4 z^5 a^{-7} +3 a^4 z^4-6 a^2 z^4+5 z^4 a^{-2} +25 z^4 a^{-4} +13 z^4 a^{-6} -16 z^4-5 a^3 z^3+5 a z^3+8 z^3 a^{-1} +z^3 a^{-3} +8 z^3 a^{-5} +5 z^3 a^{-7} -3 a^4 z^2+6 a^2 z^2-5 z^2 a^{-2} -16 z^2 a^{-4} -6 z^2 a^{-6} +14 z^2+a^3 z-a z-3 z a^{-1} -2 z a^{-3} -3 z a^{-5} -2 z a^{-7} -2 a^2+2 a^{-2} +5 a^{-4} +2 a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
