K13n4154
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4154/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+34 t-41+34 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4154/Conway Polynomial |
| Determinant | 159 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +2 z^6 a^{-6} +3 z^4 a^{-2} -11 z^4 a^{-4} +7 z^4 a^{-6} -z^4 a^{-8} +5 z^2 a^{-2} -12 z^2 a^{-4} +9 z^2 a^{-6} -2 z^2 a^{-8} +4 a^{-2} -6 a^{-4} +4 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +10 z^{10} a^{-6} +6 z^{10} a^{-8} +2 z^9 a^{-3} +3 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} -7 z^8 a^{-4} -23 z^8 a^{-6} -12 z^8 a^{-8} +4 z^8 a^{-10} +6 z^7 a^{-3} -6 z^7 a^{-5} -35 z^7 a^{-7} -22 z^7 a^{-9} +z^7 a^{-11} +11 z^6 a^{-2} +23 z^6 a^{-4} +22 z^6 a^{-6} -3 z^6 a^{-8} -13 z^6 a^{-10} +4 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} +35 z^5 a^{-7} +20 z^5 a^{-9} -3 z^5 a^{-11} -13 z^4 a^{-2} -37 z^4 a^{-4} -25 z^4 a^{-6} +10 z^4 a^{-8} +12 z^4 a^{-10} +z^4-z^3 a^{-1} +2 z^3 a^{-3} -8 z^3 a^{-5} -20 z^3 a^{-7} -7 z^3 a^{-9} +2 z^3 a^{-11} +10 z^2 a^{-2} +24 z^2 a^{-4} +15 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2 a^{-10} +2 z a^{-3} +6 z a^{-5} +6 z a^{-7} +2 z a^{-9} -4 a^{-2} -6 a^{-4} -4 a^{-6} - a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
