K13n1266
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1266/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3+t^2-12 t+19-12 t^{-1} + t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1266/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +5 z^4 a^{-4} -10 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +7 z^2 a^{-4} -7 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +4 z^{10} a^{-12} +2 z^9 a^{-5} +3 z^9 a^{-7} -2 z^9 a^{-9} +3 z^9 a^{-11} +6 z^9 a^{-13} +z^8 a^{-4} -3 z^8 a^{-6} -14 z^8 a^{-8} -28 z^8 a^{-10} -14 z^8 a^{-12} +4 z^8 a^{-14} -11 z^7 a^{-5} -22 z^7 a^{-7} -22 z^7 a^{-9} -37 z^7 a^{-11} -25 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-4} -9 z^6 a^{-6} +17 z^6 a^{-8} +36 z^6 a^{-10} +z^6 a^{-12} -15 z^6 a^{-14} +16 z^5 a^{-5} +37 z^5 a^{-7} +56 z^5 a^{-9} +62 z^5 a^{-11} +24 z^5 a^{-13} -3 z^5 a^{-15} +12 z^4 a^{-4} +23 z^4 a^{-6} +z^4 a^{-8} -8 z^4 a^{-10} +13 z^4 a^{-12} +11 z^4 a^{-14} -7 z^3 a^{-5} -23 z^3 a^{-7} -40 z^3 a^{-9} -34 z^3 a^{-11} -9 z^3 a^{-13} +z^3 a^{-15} -10 z^2 a^{-4} -14 z^2 a^{-6} -4 z^2 a^{-8} -3 z^2 a^{-10} -5 z^2 a^{-12} -2 z^2 a^{-14} +6 z a^{-7} +10 z a^{-9} +5 z a^{-11} +z a^{-13} +3 a^{-4} +2 a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
