K13n2113
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2113/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t+19-11 t^{-1} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2113/Conway Polynomial |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +6 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +2 a^{-6} + a^{-8} - a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +2 z^{10} a^{-10} +5 z^{10} a^{-12} +3 z^{10} a^{-14} +z^9 a^{-9} -z^9 a^{-11} +z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -11 z^8 a^{-10} -27 z^8 a^{-12} -14 z^8 a^{-14} +z^8 a^{-16} +z^7 a^{-7} -6 z^7 a^{-9} -19 z^7 a^{-11} -28 z^7 a^{-13} -16 z^7 a^{-15} +z^6 a^{-6} -7 z^6 a^{-8} +12 z^6 a^{-10} +39 z^6 a^{-12} +14 z^6 a^{-14} -5 z^6 a^{-16} -5 z^5 a^{-7} +3 z^5 a^{-9} +39 z^5 a^{-11} +56 z^5 a^{-13} +25 z^5 a^{-15} -5 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} -22 z^4 a^{-12} +7 z^4 a^{-16} +2 z^3 a^{-7} +5 z^3 a^{-9} -22 z^3 a^{-11} -40 z^3 a^{-13} -15 z^3 a^{-15} +5 z^2 a^{-6} -3 z^2 a^{-8} -z^2 a^{-10} +8 z^2 a^{-12} -2 z^2 a^{-14} -3 z^2 a^{-16} +z a^{-7} -3 z a^{-9} +2 z a^{-11} +10 z a^{-13} +4 z a^{-15} -2 a^{-6} + a^{-8} + a^{-10} -2 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. |
