K13n2614
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2614/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 7 t^2-32 t+51-32 t^{-1} +7 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2614/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-3 z^2 a^4+2 z^4 a^2-2 z^2 a^2-3 a^2+4 z^4+5 z^2+4+z^4 a^{-2} -3 z^2 a^{-2} -2 a^{-2} -z^2 a^{-4} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+2 z^{10} a^{-2} +6 z^{10}+6 a^3 z^9+9 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +5 a^4 z^8-4 a^2 z^8-3 z^8 a^{-2} -12 z^8+3 a^5 z^7-14 a^3 z^7-38 a z^7-20 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-10 a^4 z^6-11 a^2 z^6+z^6 a^{-2} +4 z^6 a^{-4} -3 z^6-7 a^5 z^5+13 a^3 z^5+60 a z^5+37 z^5 a^{-1} -2 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+2 a^4 z^4+25 a^2 z^4+8 z^4 a^{-2} -8 z^4 a^{-4} +36 z^4+3 a^5 z^3-15 a^3 z^3-39 a z^3-22 z^3 a^{-1} -3 z^3 a^{-3} -2 z^3 a^{-5} +3 a^6 z^2-a^4 z^2-19 a^2 z^2-9 z^2 a^{-2} +z^2 a^{-4} -25 z^2+7 a^3 z+11 a z+5 z a^{-1} +z a^{-3} -a^6+3 a^2+2 a^{-2} + a^{-4} +4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |