K13n4682
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4682/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+36 t-49+36 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4682/Conway Polynomial |
| Determinant | 151 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +3 z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} -2 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2-2 a^{-4} +4 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +10 z^{10} a^{-6} +5 z^{10} a^{-8} +6 z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} +5 z^9 a^{-9} +4 z^8 a^{-2} -8 z^8 a^{-4} -31 z^8 a^{-6} -16 z^8 a^{-8} +3 z^8 a^{-10} +z^7 a^{-1} -11 z^7 a^{-3} -16 z^7 a^{-5} -23 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} -4 z^6 a^{-2} +9 z^6 a^{-4} +46 z^6 a^{-6} +22 z^6 a^{-8} -11 z^6 a^{-10} +5 z^5 a^{-1} +14 z^5 a^{-3} +18 z^5 a^{-5} +36 z^5 a^{-7} +23 z^5 a^{-9} -4 z^5 a^{-11} +7 z^4 a^{-2} -8 z^4 a^{-4} -45 z^4 a^{-6} -22 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -6 z^3 a^{-3} -11 z^3 a^{-5} -32 z^3 a^{-7} -16 z^3 a^{-9} +4 z^3 a^{-11} -5 z^2 a^{-2} +9 z^2 a^{-4} +21 z^2 a^{-6} +9 z^2 a^{-8} -2 z^2 a^{-10} -4 z^2+z a^{-1} +2 z a^{-3} +4 z a^{-5} +8 z a^{-7} +5 z a^{-9} -2 a^{-4} -4 a^{-6} -2 a^{-8} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
