K13n2060
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2060/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+11 t-13+11 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2060/Conway Polynomial |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-2} -2 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} -2 z^2 a^{-2} -5 z^2 a^{-4} +9 z^2 a^{-6} -3 z^2 a^{-8} +z^2- a^{-2} -3 a^{-4} +5 a^{-6} -2 a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} -7 z^9 a^{-5} -5 z^9 a^{-7} +2 z^9 a^{-9} -7 z^8 a^{-4} -20 z^8 a^{-6} -11 z^8 a^{-8} +2 z^8 a^{-10} +2 z^7 a^{-3} +21 z^7 a^{-5} +9 z^7 a^{-7} -9 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +22 z^6 a^{-4} +53 z^6 a^{-6} +22 z^6 a^{-8} -10 z^6 a^{-10} +z^5 a^{-1} -7 z^5 a^{-3} -30 z^5 a^{-5} -7 z^5 a^{-7} +10 z^5 a^{-9} -5 z^5 a^{-11} -30 z^4 a^{-4} -65 z^4 a^{-6} -23 z^4 a^{-8} +13 z^4 a^{-10} +z^4-z^3 a^{-1} +13 z^3 a^{-3} +23 z^3 a^{-5} -3 z^3 a^{-9} +6 z^3 a^{-11} -2 z^2 a^{-2} +20 z^2 a^{-4} +33 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} -3 z^2-z a^{-1} -6 z a^{-3} -7 z a^{-5} -z a^{-7} -z a^{-11} + a^{-2} -3 a^{-4} -5 a^{-6} -2 a^{-8} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
