K12a1064
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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+7 q^7-13 q^6+19 q^5-24 q^4+26 q^3-25 q^2+21 q-14+9 q^{-1} -4 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 -2 t^4+9 t^3-21 t^2+33 t-37+33 t^{-1} -21 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^6-7 z^4-2 z^2+1} |
| Determinant | 167 |
| 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 -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-4 z^4 a^{-2} -10 z^4 a^{-4} +4 z^4 a^{-6} +3 z^4+z^2 a^{-2} -10 z^2 a^{-4} +5 z^2 a^{-6} +2 z^2+2 a^{-2} -4 a^{-4} +2 a^{-6} +1} |
| 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^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +9 z^9 a^{-1} +8 z^9 a^{-3} +5 z^9 a^{-5} +6 z^9 a^{-7} -9 z^8 a^{-2} -33 z^8 a^{-4} -11 z^8 a^{-6} +5 z^8 a^{-8} +8 z^8+4 a z^7-24 z^7 a^{-1} -35 z^7 a^{-3} -25 z^7 a^{-5} -15 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-4 z^6 a^{-2} +49 z^6 a^{-4} +17 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -22 z^6-9 a z^5+21 z^5 a^{-1} +49 z^5 a^{-3} +46 z^5 a^{-5} +19 z^5 a^{-7} -8 z^5 a^{-9} -2 a^2 z^4+12 z^4 a^{-2} -35 z^4 a^{-4} -17 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +17 z^4+2 a z^3-8 z^3 a^{-1} -24 z^3 a^{-3} -36 z^3 a^{-5} -17 z^3 a^{-7} +5 z^3 a^{-9} +16 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} -6 z^2+z a^{-1} +5 z a^{-3} +9 z a^{-5} +5 z a^{-7} -2 a^{-2} -4 a^{-4} -2 a^{-6} +1} |
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