K13n3503
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3503/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+10 t-11+10 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3503/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-z^2 a^2+a^2-2 z^4-5 z^2-2-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} +z^2 a^{-4} +2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-3 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -23 z^8-11 a^3 z^7-3 a z^7-5 z^7 a^{-1} -13 z^7 a^{-3} -6 a^4 z^6+13 a^2 z^6+16 z^6 a^{-2} -7 z^6 a^{-4} +42 z^6+17 a^3 z^5+6 a z^5+16 z^5 a^{-1} +27 z^5 a^{-3} +11 a^4 z^4-7 a^2 z^4-5 z^4 a^{-2} +15 z^4 a^{-4} -38 z^4-8 a^3 z^3+2 a z^3-13 z^3 a^{-1} -24 z^3 a^{-3} -z^3 a^{-5} -7 a^4 z^2+4 a^2 z^2-5 z^2 a^{-2} -12 z^2 a^{-4} +18 z^2-2 a z+4 z a^{-1} +8 z a^{-3} +2 z a^{-5} +a^4-a^2+ a^{-2} +2 a^{-4} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
