K13n1727
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1727/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+16 t-19+16 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1727/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +9 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4+14 z^2 a^{-2} -8 z^2 a^{-4} +z^2 a^{-6} -5 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} -8 z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +z^8-12 z^7 a^{-1} -25 z^7 a^{-3} -13 z^7 a^{-5} +22 z^6 a^{-2} +21 z^6 a^{-4} +z^6 a^{-6} +2 z^6+3 a z^5+24 z^5 a^{-1} +49 z^5 a^{-3} +32 z^5 a^{-5} +4 z^5 a^{-7} -34 z^4 a^{-2} -23 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} -13 z^4-8 a z^3-26 z^3 a^{-1} -41 z^3 a^{-3} -29 z^3 a^{-5} -6 z^3 a^{-7} +25 z^2 a^{-2} +15 z^2 a^{-4} -z^2 a^{-8} +11 z^2+3 a z+9 z a^{-1} +13 z a^{-3} +9 z a^{-5} +2 z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
