K13n3650
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3650/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-44 t+57-44 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3650/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -4 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-9} +3 z^{11} a^{-11} +7 z^{10} a^{-8} +16 z^{10} a^{-10} +9 z^{10} a^{-12} +6 z^9 a^{-7} +8 z^9 a^{-9} +12 z^9 a^{-11} +10 z^9 a^{-13} +3 z^8 a^{-6} -14 z^8 a^{-8} -41 z^8 a^{-10} -19 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-5} -10 z^7 a^{-7} -37 z^7 a^{-9} -56 z^7 a^{-11} -29 z^7 a^{-13} +z^7 a^{-15} +15 z^6 a^{-8} +27 z^6 a^{-10} -z^6 a^{-12} -13 z^6 a^{-14} +3 z^5 a^{-5} +15 z^5 a^{-7} +40 z^5 a^{-9} +51 z^5 a^{-11} +21 z^5 a^{-13} -2 z^5 a^{-15} +3 z^4 a^{-4} +2 z^4 a^{-6} -3 z^4 a^{-8} -2 z^4 a^{-10} +8 z^4 a^{-12} +8 z^4 a^{-14} -3 z^3 a^{-5} -8 z^3 a^{-7} -12 z^3 a^{-9} -13 z^3 a^{-11} -5 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} -z^2 a^{-14} +2 z a^{-7} -z a^{-11} +z a^{-13} +2 a^{-4} + a^{-6} + 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. |
