K13n3969
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3969/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-24 t+33-24 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3969/Conway Polynomial |
| Determinant | 101 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+4 a^2 z^4+z^4 a^{-2} -2 z^4-3 a^4 z^2+9 a^2 z^2-3 z^2-3 a^4+6 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+5 a^3 z^9+8 a z^9+3 z^9 a^{-1} +3 a^4 z^8+a^2 z^8+z^8 a^{-2} -z^8-15 a^3 z^7-19 a z^7-4 z^7 a^{-1} -3 a^4 z^6-3 a^2 z^6+6 z^6 a^{-2} +6 z^6+6 a^5 z^5+26 a^3 z^5+26 a z^5+11 z^5 a^{-1} +5 z^5 a^{-3} -7 a^4 z^4-10 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -10 z^4-14 a^5 z^3-30 a^3 z^3-24 a z^3-11 z^3 a^{-1} -3 z^3 a^{-3} +9 a^4 z^2+15 a^2 z^2+6 z^2+6 a^5 z+12 a^3 z+9 a z+3 z a^{-1} -3 a^4-6 a^2-2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
