K12a109
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Polynomial invariants
| Jones polynomial | |
| 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^3+14 t^2-35 t+47-35 t^{-1} +14 t^{-2} -2 t^{-3} } |
| 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^6+2 z^4+3 z^2+1} |
| Determinant | 149 |
| 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^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-z^4 a^2+a^2-z^6-z^4-z^2-1+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} -z^2 a^{-4} - a^{-4} } |
| 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 a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+11 a^3 z^9+12 a z^9+6 z^9 a^{-1} +3 a^6 z^8-8 a^4 z^8-18 a^2 z^8+6 z^8 a^{-2} -z^8+a^7 z^7-18 a^5 z^7-51 a^3 z^7-44 a z^7-7 z^7 a^{-1} +5 z^7 a^{-3} -11 a^6 z^6-6 a^4 z^6+7 a^2 z^6-5 z^6 a^{-2} +3 z^6 a^{-4} -6 z^6-4 a^7 z^5+20 a^5 z^5+75 a^3 z^5+64 a z^5+6 z^5 a^{-1} -6 z^5 a^{-3} +z^5 a^{-5} +11 a^6 z^4+16 a^4 z^4+8 a^2 z^4-3 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4+4 a^7 z^3-12 a^5 z^3-49 a^3 z^3-43 a z^3-7 z^3 a^{-1} +z^3 a^{-3} -2 z^3 a^{-5} -5 a^6 z^2-8 a^4 z^2-4 a^2 z^2+5 z^2 a^{-2} +3 z^2 a^{-4} +z^2-a^7 z+4 a^5 z+12 a^3 z+10 a z+3 z a^{-1} +z a^{-3} +z a^{-5} +a^6+a^4-a^2-2 a^{-2} - a^{-4} -1} |
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