K13n2148
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2148/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+4 t-3+4 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2148/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-z^4-3 z^2-1+ a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-5 a z^9-7 z^9 a^{-1} +a^4 z^8-12 a^2 z^8-8 z^8 a^{-2} -21 z^8-12 a^3 z^7+4 a z^7+16 z^7 a^{-1} -6 a^4 z^6+20 a^2 z^6+21 z^6 a^{-2} +47 z^6+20 a^3 z^5+3 a z^5-18 z^5 a^{-1} -z^5 a^{-3} +10 a^4 z^4-11 a^2 z^4-24 z^4 a^{-2} -45 z^4-10 a^3 z^3-a z^3+9 z^3 a^{-1} -5 a^4 z^2+2 a^2 z^2+8 z^2 a^{-2} -2 z^2 a^{-4} +17 z^2+a^3 z-a z-z a^{-1} +z a^{-3} +a^4+ a^{-4} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
