K13n2191
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2191/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+12 t^2-18 t+21-18 t^{-1} +12 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2191/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+8 a^2 z^4-3 z^4-2 a^4 z^2+5 a^2 z^2-2 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+9 a^2 z^{10}+3 z^{10}+7 a^5 z^9+a^3 z^9-5 a z^9+z^9 a^{-1} +4 a^6 z^8-23 a^4 z^8-43 a^2 z^8-16 z^8+a^7 z^7-28 a^5 z^7-32 a^3 z^7-8 a z^7-5 z^7 a^{-1} -14 a^6 z^6+22 a^4 z^6+67 a^2 z^6+31 z^6-3 a^7 z^5+28 a^5 z^5+51 a^3 z^5+31 a z^5+11 z^5 a^{-1} +9 a^6 z^4-10 a^4 z^4-41 a^2 z^4+z^4 a^{-2} -21 z^4+a^7 z^3-10 a^5 z^3-25 a^3 z^3-21 a z^3-7 z^3 a^{-1} -a^6 z^2+4 a^4 z^2+10 a^2 z^2+5 z^2+2 a^5 z+4 a^3 z+3 a z+z a^{-1} -a^4-2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |