K12a132
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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^6-4 q^5+10 q^4-19 q^3+28 q^2-34 q+37-34 q^{-1} +28 q^{-2} -19 q^{-3} +10 q^{-4} -4 q^{-5} + q^{-6} } |
| 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 t^4-8 t^3+26 t^2-49 t+61-49 t^{-1} +26 t^{-2} -8 t^{-3} + 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 z^8-2 z^4-z^2+1} |
| Determinant | 229 |
| 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 z^8-2 a^2 z^6-2 z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +8 z^4+2 a^4 z^2-7 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2+a^4-3 a^2-3 a^{-2} + a^{-4} +5} |
| 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 z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+7 z^{10} a^{-2} +14 z^{10}+10 a^3 z^9+21 a z^9+21 z^9 a^{-1} +10 z^9 a^{-3} +8 a^4 z^8+3 a^2 z^8+3 z^8 a^{-2} +8 z^8 a^{-4} -10 z^8+4 a^5 z^7-15 a^3 z^7-52 a z^7-52 z^7 a^{-1} -15 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-15 a^4 z^6-29 a^2 z^6-29 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} -26 z^6-8 a^5 z^5+5 a^3 z^5+43 a z^5+43 z^5 a^{-1} +5 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+10 a^4 z^4+31 a^2 z^4+31 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} +38 z^4+5 a^5 z^3+a^3 z^3-15 a z^3-15 z^3 a^{-1} +z^3 a^{-3} +5 z^3 a^{-5} +a^6 z^2-4 a^4 z^2-15 a^2 z^2-15 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -20 z^2-a^5 z-a^3 z+a z+z a^{-1} -z a^{-3} -z a^{-5} +a^4+3 a^2+3 a^{-2} + a^{-4} +5} |
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