K13n2668
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2668/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-27 t+35-27 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2668/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-2 a^2 z^4+3 z^4 a^{-2} -7 z^4+2 a^4 z^2-a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} -9 z^2+a^4+4 a^{-2} - a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+3 z^{10} a^{-2} +9 z^{10}+8 a^3 z^9+2 a z^9-5 z^9 a^{-1} +z^9 a^{-3} +6 a^4 z^8-20 a^2 z^8-14 z^8 a^{-2} -40 z^8+3 a^5 z^7-30 a^3 z^7-30 a z^7+3 z^7 a^{-1} +a^6 z^6-19 a^4 z^6+21 a^2 z^6+39 z^6 a^{-2} +4 z^6 a^{-4} +76 z^6-8 a^5 z^5+40 a^3 z^5+64 a z^5+17 z^5 a^{-1} +2 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+16 a^4 z^4-a^2 z^4-48 z^4 a^{-2} -9 z^4 a^{-4} -59 z^4+2 a^5 z^3-24 a^3 z^3-43 a z^3-24 z^3 a^{-1} -9 z^3 a^{-3} -2 z^3 a^{-5} +a^6 z^2-7 a^4 z^2-3 a^2 z^2+22 z^2 a^{-2} +5 z^2 a^{-4} +22 z^2+5 a^3 z+10 a z+8 z a^{-1} +4 z a^{-3} +z a^{-5} +a^4-4 a^{-2} - a^{-4} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
