K13n4145
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4145/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-19 t^2+45 t-57+45 t^{-1} -19 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4145/Conway Polynomial |
| Determinant | 191 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-4 z^2 a^6-a^6+2 z^6 a^4+4 z^4 a^4+3 z^2 a^4+a^4+z^6 a^2-z^4 a^2-5 z^2 a^2-3 a^2-z^4+z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+11 a^4 z^{10}+4 a^2 z^{10}+11 a^7 z^9+14 a^5 z^9+5 a^3 z^9+2 a z^9+9 a^8 z^8-a^6 z^8-17 a^4 z^8-7 a^2 z^8+4 a^9 z^7-21 a^7 z^7-34 a^5 z^7-7 a^3 z^7+2 a z^7+a^{10} z^6-19 a^8 z^6-21 a^6 z^6+12 a^4 z^6+19 a^2 z^6+6 z^6-7 a^9 z^5+14 a^7 z^5+22 a^5 z^5-2 a^3 z^5-2 a z^5+z^5 a^{-1} -2 a^{10} z^4+15 a^8 z^4+19 a^6 z^4-9 a^4 z^4-18 a^2 z^4-7 z^4+3 a^9 z^3-10 a^7 z^3-3 a^5 z^3+12 a^3 z^3+a z^3-z^3 a^{-1} +a^{10} z^2-8 a^8 z^2-7 a^6 z^2+5 a^4 z^2+a^2 z^2-2 z^2+3 a^7 z-a^5 z-7 a^3 z-3 a z+a^8+a^6+a^4+3 a^2+3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
