K13n2397
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2397/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-34 t+45-34 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2397/Conway Polynomial |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} +2 z^4 a^{-10} +4 z^2 a^{-4} -z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +3 z^{10} a^{-8} +7 z^{10} a^{-10} +4 z^{10} a^{-12} +4 z^9 a^{-7} +8 z^9 a^{-9} +10 z^9 a^{-11} +6 z^9 a^{-13} +3 z^8 a^{-6} +z^8 a^{-8} -11 z^8 a^{-10} -5 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} -4 z^7 a^{-7} -20 z^7 a^{-9} -36 z^7 a^{-11} -20 z^7 a^{-13} +z^7 a^{-15} -2 z^6 a^{-6} -8 z^6 a^{-8} -4 z^6 a^{-10} -12 z^6 a^{-12} -14 z^6 a^{-14} +3 z^5 a^{-5} +5 z^5 a^{-7} +13 z^5 a^{-9} +33 z^5 a^{-11} +19 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} +5 z^4 a^{-6} +9 z^4 a^{-8} +9 z^4 a^{-10} +15 z^4 a^{-12} +13 z^4 a^{-14} -3 z^3 a^{-5} -2 z^3 a^{-7} -2 z^3 a^{-9} -11 z^3 a^{-11} -6 z^3 a^{-13} +2 z^3 a^{-15} -5 z^2 a^{-4} -4 z^2 a^{-6} -z^2 a^{-8} -4 z^2 a^{-10} -4 z^2 a^{-12} -2 z^2 a^{-14} -z a^{-5} +z a^{-7} +z a^{-9} -z a^{-11} +2 a^{-4} - a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
