K13n2437
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2437/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-15 t^2+15 t-13+15 t^{-1} -15 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2437/Conway Polynomial |
| Determinant | 95 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -2 z^4 a^{-6} -8 z^4 a^{-8} +5 z^4 a^{-10} +4 z^2 a^{-4} +4 z^2 a^{-6} -8 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +10 z^{10} a^{-8} +6 z^{10} a^{-10} +3 z^9 a^{-5} -z^9 a^{-7} +2 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -17 z^8 a^{-6} -46 z^8 a^{-8} -26 z^8 a^{-10} +2 z^8 a^{-12} -14 z^7 a^{-5} -26 z^7 a^{-7} -39 z^7 a^{-9} -27 z^7 a^{-11} -5 z^6 a^{-4} +19 z^6 a^{-6} +65 z^6 a^{-8} +35 z^6 a^{-10} -6 z^6 a^{-12} +19 z^5 a^{-5} +47 z^5 a^{-7} +66 z^5 a^{-9} +39 z^5 a^{-11} +z^5 a^{-13} +8 z^4 a^{-4} -9 z^4 a^{-6} -44 z^4 a^{-8} -21 z^4 a^{-10} +6 z^4 a^{-12} -9 z^3 a^{-5} -30 z^3 a^{-7} -40 z^3 a^{-9} -18 z^3 a^{-11} +z^3 a^{-13} -5 z^2 a^{-4} +6 z^2 a^{-6} +18 z^2 a^{-8} +6 z^2 a^{-10} +z^2 a^{-14} +z a^{-5} +8 z a^{-7} +8 z a^{-9} -z a^{-13} + a^{-4} -3 a^{-6} -4 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. |
