K13n3081
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3081/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+26 t-33+26 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3081/Conway Polynomial |
| Determinant | 107 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+2 a^4-4 z^4 a^2-9 z^2 a^2-5 a^2+3 z^2+4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+5 a^7 z^9+2 a^5 z^9-3 a^3 z^9+5 a^8 z^8-4 a^6 z^8-11 a^4 z^8-2 a^2 z^8+3 a^9 z^7-13 a^7 z^7-6 a^5 z^7+13 a^3 z^7+3 a z^7+a^{10} z^6-14 a^8 z^6-2 a^6 z^6+18 a^4 z^6+5 a^2 z^6-8 a^9 z^5+13 a^7 z^5+2 a^5 z^5-23 a^3 z^5-4 a z^5-3 a^{10} z^4+12 a^8 z^4+6 a^6 z^4-11 a^4 z^4+3 a^2 z^4+5 z^4+4 a^9 z^3-10 a^7 z^3+9 a^5 z^3+26 a^3 z^3+3 a z^3+2 a^{10} z^2-7 a^8 z^2-4 a^6 z^2+3 a^4 z^2-12 a^2 z^2-10 z^2+2 a^7 z-5 a^5 z-11 a^3 z-4 a z+a^8+a^6+2 a^4+5 a^2+4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
