K13n1550
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1550/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+17 t-21+17 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1550/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +4 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+4 a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-11 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -24 z^8-15 a^3 z^7-37 a z^7-37 z^7 a^{-1} -15 z^7 a^{-3} -5 a^4 z^6+3 a^2 z^6+3 z^6 a^{-2} -5 z^6 a^{-4} +16 z^6+23 a^3 z^5+60 a z^5+60 z^5 a^{-1} +23 z^5 a^{-3} +8 a^4 z^4+14 a^2 z^4+14 z^4 a^{-2} +8 z^4 a^{-4} +12 z^4-14 a^3 z^3-35 a z^3-35 z^3 a^{-1} -14 z^3 a^{-3} -5 a^4 z^2-11 a^2 z^2-11 z^2 a^{-2} -5 z^2 a^{-4} -12 z^2+3 a^3 z+7 a z+7 z a^{-1} +3 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
