K12a1033
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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^4+2 q^3-4 q^2+8 q-11+15 q^{-1} -16 q^{-2} +16 q^{-3} -14 q^{-4} +10 q^{-5} -6 q^{-6} +3 q^{-7} - q^{-8} } |
| 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 4 t^3-14 t^2+23 t-25+23 t^{-1} -14 t^{-2} +4 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 4 z^6+10 z^4+3 z^2+1} |
| Determinant | 107 |
| 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^4 a^6-2 z^2 a^6+z^6 a^4+2 z^4 a^4-z^2 a^4-2 a^4+2 z^6 a^2+7 z^4 a^2+7 z^2 a^2+3 a^2+z^6+3 z^4+2 z^2+1-z^4 a^{-2} -3 z^2 a^{-2} - 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 a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+5 a^5 z^9+2 a^3 z^9-a z^9+2 z^9 a^{-1} +6 a^6 z^8-6 a^4 z^8-21 a^2 z^8+2 z^8 a^{-2} -7 z^8+5 a^7 z^7-12 a^5 z^7-12 a^3 z^7-2 a z^7-6 z^7 a^{-1} +z^7 a^{-3} +3 a^8 z^6-15 a^6 z^6+7 a^4 z^6+46 a^2 z^6-9 z^6 a^{-2} +12 z^6+a^9 z^5-11 a^7 z^5+12 a^5 z^5+24 a^3 z^5+7 a z^5+2 z^5 a^{-1} -5 z^5 a^{-3} -6 a^8 z^4+15 a^6 z^4-3 a^4 z^4-51 a^2 z^4+12 z^4 a^{-2} -15 z^4-2 a^9 z^3+7 a^7 z^3+a^5 z^3-17 a^3 z^3-12 a z^3+4 z^3 a^{-1} +7 z^3 a^{-3} +a^8 z^2-4 a^6 z^2+6 a^4 z^2+21 a^2 z^2-5 z^2 a^{-2} +5 z^2-2 a^7 z-a^5 z+3 a^3 z+2 a z-2 z a^{-1} -2 z a^{-3} -2 a^4-3 a^2+ a^{-2} +1} |
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