K13n3322
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3322/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+41 t-57+41 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3322/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-a^8-2 z^4 a^6+a^6+z^6 a^4+z^6 a^2+z^4 a^2+2 z^2 a^2+a^2-z^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+a^8 z^{10}+6 a^6 z^{10}+5 a^4 z^{10}+2 a^7 z^9+13 a^5 z^9+11 a^3 z^9+2 a^8 z^8-3 a^6 z^8+9 a^4 z^8+14 a^2 z^8+5 a^9 z^7+2 a^7 z^7-22 a^5 z^7-8 a^3 z^7+11 a z^7+a^{10} z^6-4 a^8 z^6-11 a^6 z^6-30 a^4 z^6-19 a^2 z^6+5 z^6-11 a^9 z^5-14 a^7 z^5+a^5 z^5-11 a^3 z^5-14 a z^5+z^5 a^{-1} -2 a^{10} z^4-2 a^8 z^4+11 a^6 z^4+19 a^4 z^4+4 a^2 z^4-4 z^4+4 a^9 z^3+8 a^7 z^3+11 a^5 z^3+10 a^3 z^3+3 a z^3+a^{10} z^2+2 a^8 z^2-3 a^6 z^2-2 a^4 z^2+2 a^2 z^2+2 a^9 z-3 a^5 z-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. |
