K13n1799
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1799/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-16 t+21-16 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1799/Conway Polynomial |
| Determinant | 69 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-3 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +4 z^2-a^2+ a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9+z^9 a^{-1} +5 z^9 a^{-3} +5 z^9 a^{-5} -28 z^8 a^{-2} -15 z^8 a^{-4} +3 z^8 a^{-6} -10 z^8-6 a z^7-27 z^7 a^{-1} -44 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +33 z^6 a^{-2} +7 z^6 a^{-4} -12 z^6 a^{-6} +14 z^6+14 a z^5+62 z^5 a^{-1} +77 z^5 a^{-3} +25 z^5 a^{-5} -4 z^5 a^{-7} +a^2 z^4-z^4 a^{-2} +10 z^4 a^{-4} +10 z^4 a^{-6} -13 a z^3-46 z^3 a^{-1} -49 z^3 a^{-3} -13 z^3 a^{-5} +3 z^3 a^{-7} -2 a^2 z^2-9 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} -7 z^2+4 a z+11 z a^{-1} +12 z a^{-3} +4 z a^{-5} -z a^{-7} +a^2+ a^{-4} + 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. |
