K13n4059
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4059/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-19 t+21-19 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4059/Conway Polynomial |
| Determinant | 97 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^6 a^8-4 z^4 a^8-6 z^2 a^8-4 a^8+z^8 a^6+5 z^6 a^6+9 z^4 a^6+8 z^2 a^6+3 a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^4 a^{12}-2 z^2 a^{12}+z^7 a^{11}+7 z^5 a^{11}-10 z^3 a^{11}+2 z a^{11}+4 z^8 a^{10}-3 z^6 a^{10}+2 z^4 a^{10}-z^2 a^{10}-a^{10}+4 z^9 a^9-6 z^7 a^9+15 z^5 a^9-20 z^3 a^9+8 z a^9+z^{10} a^8+6 z^8 a^8-6 z^6 a^8-7 z^4 a^8+11 z^2 a^8-4 a^8+5 z^9 a^7-4 z^7 a^7+2 z^5 a^7-9 z^3 a^7+6 z a^7+z^{10} a^6+2 z^8 a^6+2 z^6 a^6-13 z^4 a^6+10 z^2 a^6-3 a^6+z^9 a^5+3 z^7 a^5-5 z^5 a^5+5 z^6 a^4-7 z^4 a^4+a^4+z^5 a^3-z^3 a^3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
