K12a917
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^5+4 q^4-10 q^3+17 q^2-24 q+30-30 q^{-1} +28 q^{-2} -22 q^{-3} +15 q^{-4} -8 q^{-5} +3 q^{-6} - q^{-7} } |
| Alexander polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 t^4-9 t^3+23 t^2-39 t+47-39 t^{-1} +23 t^{-2} -9 t^{-3} +2 t^{-4} } |
| Conway polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 z^8+7 z^6+9 z^4+4 z^2+1} |
| Determinant | 193 |
| Signature | 0 |
| HOMFLY-PT polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a^2 z^8+z^8-a^4 z^6+5 a^2 z^6-z^6 a^{-2} +4 z^6-4 a^4 z^4+11 a^2 z^4-3 z^4 a^{-2} +5 z^4-6 a^4 z^2+12 a^2 z^2-3 z^2 a^{-2} +z^2-3 a^4+5 a^2- a^{-2} } |
| Kauffman polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+12 a^2 z^{10}+7 z^{10}+5 a^5 z^9+8 a^3 z^9+15 a z^9+12 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-25 a^2 z^8+13 z^8 a^{-2} +z^8+a^7 z^7-14 a^5 z^7-32 a^3 z^7-43 a z^7-17 z^7 a^{-1} +9 z^7 a^{-3} -10 a^6 z^6+5 a^4 z^6+20 a^2 z^6-23 z^6 a^{-2} +4 z^6 a^{-4} -22 z^6-4 a^7 z^5+11 a^5 z^5+35 a^3 z^5+41 a z^5+7 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} +10 a^6 z^4-7 a^4 z^4-20 a^2 z^4+19 z^4 a^{-2} -4 z^4 a^{-4} +20 z^4+5 a^7 z^3-3 a^5 z^3-23 a^3 z^3-21 a z^3+2 z^3 a^{-1} +7 z^3 a^{-3} -z^3 a^{-5} -3 a^6 z^2+8 a^4 z^2+15 a^2 z^2-7 z^2 a^{-2} -3 z^2-2 a^7 z+a^5 z+7 a^3 z+5 a z-z a^{-1} -2 z a^{-3} -3 a^4-5 a^2+ a^{-2} } |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
