K13n3877
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3877/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-31 t+35-31 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3877/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -12 z^4 a^{-4} +11 z^4 a^{-6} -3 z^4 a^{-8} +6 z^2 a^{-2} -14 z^2 a^{-4} +13 z^2 a^{-6} -3 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 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} +9 z^{10} a^{-6} +6 z^{10} a^{-8} +z^9 a^{-3} -4 z^9 a^{-5} +4 z^9 a^{-7} +9 z^9 a^{-9} -12 z^8 a^{-4} -31 z^8 a^{-6} -9 z^8 a^{-8} +10 z^8 a^{-10} +z^7 a^{-3} +8 z^7 a^{-5} -14 z^7 a^{-7} -13 z^7 a^{-9} +8 z^7 a^{-11} +3 z^6 a^{-2} +30 z^6 a^{-4} +57 z^6 a^{-6} +11 z^6 a^{-8} -15 z^6 a^{-10} +4 z^6 a^{-12} -10 z^5 a^{-3} -13 z^5 a^{-5} +15 z^5 a^{-7} +5 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -11 z^4 a^{-2} -46 z^4 a^{-4} -58 z^4 a^{-6} -12 z^4 a^{-8} +6 z^4 a^{-10} -5 z^4 a^{-12} +9 z^3 a^{-3} +7 z^3 a^{-5} -6 z^3 a^{-7} +2 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +11 z^2 a^{-2} +28 z^2 a^{-4} +26 z^2 a^{-6} +8 z^2 a^{-8} +z^2 a^{-12} -z a^{-3} -2 z a^{-5} -z a^{-11} -3 a^{-2} -5 a^{-4} -5 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. |
