K13n3793
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3793/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+11 t^2-7 t+5-7 t^{-1} +11 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3793/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+6 z^4 a^{-2} +6 z^4 a^{-4} -5 z^4 a^{-6} -4 z^4+z^2 a^{-2} +2 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} -2 z^2- a^{-2} - a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+a z^9-10 z^9 a^{-1} -7 z^9 a^{-3} +4 z^9 a^{-5} -42 z^8 a^{-2} -19 z^8 a^{-4} +3 z^8 a^{-6} -20 z^8-6 a z^7+11 z^7 a^{-1} -16 z^7 a^{-5} +z^7 a^{-7} +81 z^6 a^{-2} +27 z^6 a^{-4} -10 z^6 a^{-6} +44 z^6+11 a z^5+4 z^5 a^{-1} +7 z^5 a^{-3} +15 z^5 a^{-5} +z^5 a^{-7} -61 z^4 a^{-2} -21 z^4 a^{-4} +8 z^4 a^{-6} +4 z^4 a^{-8} -36 z^4-6 a z^3-4 z^3 a^{-1} +6 z^3 a^{-3} -5 z^3 a^{-5} -7 z^3 a^{-7} +2 z^3 a^{-9} +16 z^2 a^{-2} +10 z^2 a^{-4} -5 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} +7 z^2-3 z a^{-1} -6 z a^{-3} +3 z a^{-7} + a^{-2} + a^{-6} + 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. |
