K12a871
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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^3-4 q^2+9 q-17+26 q^{-1} -32 q^{-2} +36 q^{-3} -33 q^{-4} +28 q^{-5} -20 q^{-6} +11 q^{-7} -5 q^{-8} + q^{-9} } |
| 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+11 t^3-27 t^2+45 t-53+45 t^{-1} -27 t^{-2} +11 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^8-5 z^6-z^4+4 z^2+1} |
| Determinant | 223 |
| Signature | -2 |
| 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^4 z^8-a^2 z^8+a^6 z^6-3 a^4 z^6-4 a^2 z^6+z^6+2 a^6 z^4-6 a^2 z^4+3 z^4-a^6 z^2+7 a^4 z^2-4 a^2 z^2+2 z^2-3 a^6+5 a^4-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 4 a^5 z^{11}+4 a^3 z^{11}+10 a^6 z^{10}+20 a^4 z^{10}+10 a^2 z^{10}+12 a^7 z^9+9 a^5 z^9+8 a^3 z^9+11 a z^9+10 a^8 z^8-15 a^6 z^8-56 a^4 z^8-23 a^2 z^8+8 z^8+5 a^9 z^7-20 a^7 z^7-36 a^5 z^7-43 a^3 z^7-28 a z^7+4 z^7 a^{-1} +a^{10} z^6-19 a^8 z^6+6 a^6 z^6+67 a^4 z^6+21 a^2 z^6+z^6 a^{-2} -19 z^6-9 a^9 z^5+2 a^7 z^5+35 a^5 z^5+59 a^3 z^5+26 a z^5-9 z^5 a^{-1} -a^{10} z^4+7 a^8 z^4-4 a^6 z^4-29 a^4 z^4-3 a^2 z^4-2 z^4 a^{-2} +12 z^4+3 a^9 z^3+5 a^7 z^3-7 a^5 z^3-21 a^3 z^3-9 a z^3+3 z^3 a^{-1} -3 a^6 z^2-2 a^4 z^2-2 a^2 z^2-3 z^2+a^9 z-3 a^7 z-5 a^5 z-a^3 z+3 a^6+5 a^4+a^2} |
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