K13n3187
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3187/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+34 t-49+34 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3187/Conway Polynomial |
| Determinant | 139 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8+3 z^2 a^6+a^6-3 z^4 a^4-2 z^2 a^4+z^6 a^2+z^4 a^2+2 z^2 a^2+a^2-2 z^4-z^2+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+5 a^4 z^{10}+4 a^2 z^{10}-a^5 z^9+6 a^3 z^9+7 a z^9-9 a^4 z^8-2 a^2 z^8+7 z^8+6 a^7 z^7+14 a^5 z^7-8 a^3 z^7-12 a z^7+4 z^7 a^{-1} +3 a^8 z^6+9 a^6 z^6+21 a^4 z^6-a^2 z^6+z^6 a^{-2} -15 z^6+a^9 z^5-10 a^7 z^5-25 a^5 z^5-2 a^3 z^5+3 a z^5-9 z^5 a^{-1} -5 a^8 z^4-15 a^6 z^4-28 a^4 z^4-9 a^2 z^4-2 z^4 a^{-2} +7 z^4-2 a^9 z^3+8 a^7 z^3+20 a^5 z^3+4 a^3 z^3-a z^3+5 z^3 a^{-1} +3 a^8 z^2+9 a^6 z^2+13 a^4 z^2+6 a^2 z^2+z^2 a^{-2} +a^9 z-3 a^7 z-6 a^5 z-2 a^3 z-a^8-a^6-a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
