K13n3673
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3673/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-6 t^2+5 t-5+5 t^{-1} -6 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3673/Conway Polynomial |
| Determinant | 51 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +23 z^6 a^{-6} -7 z^6 a^{-8} -10 z^4 a^{-4} +30 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-4} +17 z^2 a^{-6} -11 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} -10 z^9 a^{-5} -8 z^9 a^{-7} +3 z^9 a^{-9} -20 z^8 a^{-4} -44 z^8 a^{-6} -22 z^8 a^{-8} +2 z^8 a^{-10} -6 z^7 a^{-3} +10 z^7 a^{-5} +2 z^7 a^{-7} -13 z^7 a^{-9} +z^7 a^{-11} +44 z^6 a^{-4} +91 z^6 a^{-6} +38 z^6 a^{-8} -9 z^6 a^{-10} +11 z^5 a^{-3} +9 z^5 a^{-5} +13 z^5 a^{-7} +10 z^5 a^{-9} -5 z^5 a^{-11} -36 z^4 a^{-4} -77 z^4 a^{-6} -33 z^4 a^{-8} +8 z^4 a^{-10} -6 z^3 a^{-3} -12 z^3 a^{-5} -11 z^3 a^{-7} +z^3 a^{-9} +6 z^3 a^{-11} +8 z^2 a^{-4} +25 z^2 a^{-6} +15 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +2 z a^{-5} +3 z a^{-7} -z a^{-9} -3 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
