K12a1126
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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^9-3 q^8+6 q^7-10 q^6+14 q^5-17 q^4+18 q^3-17 q^2+14 q-9+6 q^{-1} -3 q^{-2} + q^{-3} } |
| 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 -8 t^2+30 t-43+30 t^{-1} -8 t^{-2} } |
| 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 -8 z^4-2 z^2+1} |
| Determinant | 119 |
| 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 -3 z^4 a^{-2} -3 z^4 a^{-4} -z^4 a^{-6} -z^4+a^2 z^2-3 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} +z^2- a^{-2} - a^{-4} + a^{-6} +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 z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +5 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -4 z^8 a^{-2} -20 z^8 a^{-4} -7 z^8 a^{-6} +4 z^8 a^{-8} +5 z^8+3 a z^7-16 z^7 a^{-1} -28 z^7 a^{-3} -22 z^7 a^{-5} -10 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-11 z^6 a^{-2} +28 z^6 a^{-4} +10 z^6 a^{-6} -10 z^6 a^{-8} +z^6 a^{-10} -17 z^6-9 a z^5+17 z^5 a^{-1} +49 z^5 a^{-3} +43 z^5 a^{-5} +11 z^5 a^{-7} -9 z^5 a^{-9} -3 a^2 z^4+27 z^4 a^{-2} -11 z^4 a^{-4} -10 z^4 a^{-6} +5 z^4 a^{-8} -3 z^4 a^{-10} +17 z^4+4 a z^3-9 z^3 a^{-1} -28 z^3 a^{-3} -33 z^3 a^{-5} -12 z^3 a^{-7} +6 z^3 a^{-9} +a^2 z^2-13 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-10} -9 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +4 z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2} |
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