K13n2764
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2764/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2764/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+z^2 a^{-2} -z^2 a^{-4} -3 z^2+a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-1} +5 z^9 a^{-3} +2 z^9 a^{-5} +z^9 a^{-7} -z^8 a^{-2} -7 z^8 a^{-4} -2 z^8 a^{-6} +4 z^8+3 a z^7-3 z^7 a^{-1} -9 z^7 a^{-3} +z^7 a^{-5} +4 z^7 a^{-7} +a^2 z^6-2 z^6 a^{-2} +8 z^6 a^{-4} +8 z^6 a^{-6} +5 z^6 a^{-8} -6 z^6-8 a z^5-7 z^5 a^{-1} +3 z^5 a^{-3} -6 z^5 a^{-5} -7 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4-3 z^4 a^{-2} -8 z^4 a^{-4} -12 z^4 a^{-6} -7 z^4 a^{-8} -3 z^4+6 a z^3+6 z^3 a^{-1} +4 z^3 a^{-3} +5 z^3 a^{-5} -z^3 a^{-9} +3 a^2 z^2+4 z^2 a^{-2} +7 z^2 a^{-4} +5 z^2 a^{-6} +5 z^2-a z-2 z a^{-1} -2 z a^{-3} +z a^{-7} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
