K13n264
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n264/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+26 t-35+26 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n264/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} +3 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4 a^{-8} -z^2 a^{-2} +6 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +4 a^{-4} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^9 a^{-5} +9 z^9 a^{-7} +6 z^9 a^{-9} +3 z^9 a^{-11} +5 z^8 a^{-4} -6 z^8 a^{-6} -22 z^8 a^{-8} -10 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-3} -17 z^7 a^{-5} -45 z^7 a^{-7} -41 z^7 a^{-9} -15 z^7 a^{-11} -14 z^6 a^{-4} -10 z^6 a^{-6} +12 z^6 a^{-8} +3 z^6 a^{-10} -5 z^6 a^{-12} -2 z^5 a^{-3} +18 z^5 a^{-5} +62 z^5 a^{-7} +67 z^5 a^{-9} +25 z^5 a^{-11} +4 z^4 a^{-2} +22 z^4 a^{-4} +18 z^4 a^{-6} +3 z^4 a^{-8} +11 z^4 a^{-10} +8 z^4 a^{-12} +z^3 a^{-1} +6 z^3 a^{-3} -8 z^3 a^{-5} -44 z^3 a^{-7} -48 z^3 a^{-9} -17 z^3 a^{-11} -3 z^2 a^{-2} -14 z^2 a^{-4} -10 z^2 a^{-6} -5 z^2 a^{-10} -4 z^2 a^{-12} -z a^{-1} -2 z a^{-3} +z a^{-5} +13 z a^{-7} +16 z a^{-9} +5 z a^{-11} + a^{-2} +4 a^{-4} -3 a^{-8} - a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
