K13n3112
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3112/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-19 t^2+32 t-37+32 t^{-1} -19 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3112/Conway Polynomial |
| Determinant | 151 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-6} +10 z^4 a^{-8} +6 z^4 a^{-10} -2 z^4 a^{-12} +3 z^2 a^{-6} +8 z^2 a^{-8} +5 z^2 a^{-10} -6 z^2 a^{-12} + a^{-6} + a^{-8} +2 a^{-10} -4 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +6 z^{10} a^{-12} +2 z^{10} a^{-14} +6 z^9 a^{-9} +9 z^9 a^{-11} +4 z^9 a^{-13} +z^9 a^{-15} +6 z^8 a^{-8} -8 z^8 a^{-12} -2 z^8 a^{-14} +3 z^7 a^{-7} -6 z^7 a^{-9} -18 z^7 a^{-11} -7 z^7 a^{-13} +2 z^7 a^{-15} +z^6 a^{-6} -13 z^6 a^{-8} -5 z^6 a^{-10} +14 z^6 a^{-12} +9 z^6 a^{-14} +4 z^6 a^{-16} -6 z^5 a^{-7} -7 z^5 a^{-9} +15 z^5 a^{-11} +15 z^5 a^{-13} +z^5 a^{-17} -3 z^4 a^{-6} +11 z^4 a^{-8} -7 z^4 a^{-10} -24 z^4 a^{-12} -9 z^4 a^{-14} -6 z^4 a^{-16} +3 z^3 a^{-7} +7 z^3 a^{-9} -13 z^3 a^{-11} -18 z^3 a^{-13} -3 z^3 a^{-15} -2 z^3 a^{-17} +3 z^2 a^{-6} -6 z^2 a^{-8} +8 z^2 a^{-10} +18 z^2 a^{-12} +3 z^2 a^{-14} +2 z^2 a^{-16} -2 z a^{-9} +5 z a^{-11} +7 z a^{-13} +z a^{-15} +z a^{-17} - a^{-6} + a^{-8} -2 a^{-10} -4 a^{-12} - a^{-14} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
