K13n2766
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2766/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-28 t+41-28 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2766/Conway Polynomial |
| Determinant | 117 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4+a^4-z^6 a^2-2 z^4 a^2-4 z^2 a^2-2 a^2+3 z^4+4 z^2+2-2 z^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+4 a^3 z^9-2 a z^9+z^9 a^{-1} +4 a^6 z^8-18 a^4 z^8-32 a^2 z^8-10 z^8+a^7 z^7-26 a^5 z^7-37 a^3 z^7-11 a z^7-z^7 a^{-1} -14 a^6 z^6+5 a^4 z^6+32 a^2 z^6+z^6 a^{-2} +14 z^6-3 a^7 z^5+25 a^5 z^5+51 a^3 z^5+29 a z^5+6 z^5 a^{-1} +11 a^6 z^4+12 a^4 z^4-2 a^2 z^4+5 z^4 a^{-2} +2 z^4+a^7 z^3-9 a^5 z^3-25 a^3 z^3-23 a z^3-6 z^3 a^{-1} +2 z^3 a^{-3} -3 a^6 z^2-7 a^4 z^2-9 a^2 z^2-5 z^2 a^{-2} -10 z^2+a^5 z+5 a^3 z+6 a z+2 z a^{-1} +a^4+2 a^2+2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
