K13a100
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a100/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+24 t^2-30 t+31-30 t^{-1} +24 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a100/Conway Polynomial |
| Determinant | 165 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -2 z^6 a^{-2} +4 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -9 z^4 a^{-2} +5 z^4 a^{-4} +4 z^4 a^{-6} -3 z^4 a^{-8} +z^4-11 z^2 a^{-2} +6 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +4 z^2-5 a^{-2} +4 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +6 z^{11} a^{-5} +4 z^{11} a^{-7} +2 z^{10} a^{-2} +z^{10} a^{-4} +6 z^{10} a^{-6} +7 z^{10} a^{-8} +2 z^9 a^{-1} -5 z^9 a^{-3} -23 z^9 a^{-5} -8 z^9 a^{-7} +8 z^9 a^{-9} -5 z^8 a^{-2} -12 z^8 a^{-4} -32 z^8 a^{-6} -18 z^8 a^{-8} +8 z^8 a^{-10} +z^8-10 z^7 a^{-1} -2 z^7 a^{-3} +34 z^7 a^{-5} +5 z^7 a^{-7} -14 z^7 a^{-9} +7 z^7 a^{-11} -9 z^6 a^{-2} +10 z^6 a^{-4} +52 z^6 a^{-6} +24 z^6 a^{-8} -11 z^6 a^{-10} +4 z^6 a^{-12} -6 z^6+15 z^5 a^{-1} +5 z^5 a^{-3} -28 z^5 a^{-5} +2 z^5 a^{-7} +8 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} +29 z^4 a^{-2} +5 z^4 a^{-4} -33 z^4 a^{-6} -14 z^4 a^{-8} +z^4 a^{-10} -6 z^4 a^{-12} +12 z^4-8 z^3 a^{-1} +11 z^3 a^{-5} +z^3 a^{-9} +3 z^3 a^{-11} -z^3 a^{-13} -22 z^2 a^{-2} -11 z^2 a^{-4} +4 z^2 a^{-6} +4 z^2 a^{-8} +2 z^2 a^{-10} +z^2 a^{-12} -10 z^2+z a^{-1} -2 z a^{-5} -z a^{-7} +5 a^{-2} +4 a^{-4} + a^{-6} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
