K12a946
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^{13}-3 q^{12}+7 q^{11}-13 q^{10}+18 q^9-22 q^8+23 q^7-22 q^6+18 q^5-12 q^4+8 q^3-3 q^2+q} |
| 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^3-19 t^2+29 t-33+29 t^{-1} -19 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^6-5 z^4+2 z^2+1} |
| Determinant | 151 |
| Signature | 6 |
| 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 -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -10 z^4 a^{-8} +4 z^4 a^{-10} +5 z^2 a^{-4} +3 z^2 a^{-6} -11 z^2 a^{-8} +5 z^2 a^{-10} +2 a^{-4} +2 a^{-6} -5 a^{-8} +2 a^{-10} } |
| 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 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +2 z^9 a^{-7} +10 z^9 a^{-9} +11 z^9 a^{-11} +z^8 a^{-4} -14 z^8 a^{-6} -38 z^8 a^{-8} -11 z^8 a^{-10} +12 z^8 a^{-12} -13 z^7 a^{-5} -31 z^7 a^{-7} -51 z^7 a^{-9} -23 z^7 a^{-11} +10 z^7 a^{-13} -5 z^6 a^{-4} +10 z^6 a^{-6} +41 z^6 a^{-8} -3 z^6 a^{-10} -23 z^6 a^{-12} +6 z^6 a^{-14} +17 z^5 a^{-5} +49 z^5 a^{-7} +66 z^5 a^{-9} +15 z^5 a^{-11} -16 z^5 a^{-13} +3 z^5 a^{-15} +9 z^4 a^{-4} +3 z^4 a^{-6} -27 z^4 a^{-8} +z^4 a^{-10} +16 z^4 a^{-12} -5 z^4 a^{-14} +z^4 a^{-16} -6 z^3 a^{-5} -29 z^3 a^{-7} -45 z^3 a^{-9} -7 z^3 a^{-11} +13 z^3 a^{-13} -2 z^3 a^{-15} -7 z^2 a^{-4} +2 z^2 a^{-6} +16 z^2 a^{-8} +2 z^2 a^{-10} -2 z^2 a^{-12} +2 z^2 a^{-14} -z^2 a^{-16} +8 z a^{-7} +12 z a^{-9} +2 z a^{-11} -2 z a^{-13} +2 a^{-4} -2 a^{-6} -5 a^{-8} -2 a^{-10} } |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
