K13n3579
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3579/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+40 t-49+40 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3579/Conway Polynomial |
| Determinant | 187 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-4 a^2 z^6+z^6-a^6 z^4+6 a^4 z^4-6 a^2 z^4+2 z^4-2 a^6 z^2+7 a^4 z^2-3 a^2 z^2+z^2-2 a^6+3 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+3 a^6 z^{10}+11 a^4 z^{10}+8 a^2 z^{10}+a^7 z^9+3 a^5 z^9+15 a^3 z^9+13 a z^9-5 a^6 z^8-20 a^4 z^8-4 a^2 z^8+11 z^8+3 a^7 z^7-8 a^5 z^7-41 a^3 z^7-25 a z^7+5 z^7 a^{-1} +4 a^8 z^6+14 a^6 z^6+13 a^4 z^6-20 a^2 z^6+z^6 a^{-2} -22 z^6+a^9 z^5-a^7 z^5+13 a^5 z^5+32 a^3 z^5+9 a z^5-8 z^5 a^{-1} -6 a^8 z^4-9 a^6 z^4+4 a^4 z^4+18 a^2 z^4-z^4 a^{-2} +10 z^4-2 a^9 z^3-2 a^7 z^3-4 a^5 z^3-7 a^3 z^3-a z^3+2 z^3 a^{-1} +2 a^8 z^2-2 a^6 z^2-7 a^4 z^2-5 a^2 z^2-2 z^2+a^9 z-a^7 z-2 a^5 z+2 a^6+3 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
