K12a5
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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^9-4 q^8+10 q^7-18 q^6+25 q^5-30 q^4+32 q^3-29 q^2+23 q-15+8 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 3 t^3-19 t^2+47 t-61+47 t^{-1} -19 t^{-2} +3 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 3 z^6-z^4-2 z^2+1} |
| Determinant | 199 |
| 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^6 a^{-2} +2 z^6 a^{-4} -z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+a^2 z^2-4 z^2 a^{-2} +7 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} -2 z^2+a^2-2 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} } |
| 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} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +6 z^9 a^{-1} +17 z^9 a^{-3} +20 z^9 a^{-5} +9 z^9 a^{-7} +6 z^8 a^{-2} +2 z^8 a^{-4} +9 z^8 a^{-6} +8 z^8 a^{-8} +5 z^8+3 a z^7-7 z^7 a^{-1} -40 z^7 a^{-3} -47 z^7 a^{-5} -13 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-25 z^6 a^{-2} -39 z^6 a^{-4} -40 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} -8 z^6-7 a z^5+z^5 a^{-1} +37 z^5 a^{-3} +39 z^5 a^{-5} +2 z^5 a^{-7} -8 z^5 a^{-9} -3 a^2 z^4+27 z^4 a^{-2} +48 z^4 a^{-4} +39 z^4 a^{-6} +11 z^4 a^{-8} -2 z^4 a^{-10} +2 z^4+5 a z^3-16 z^3 a^{-3} -16 z^3 a^{-5} +5 z^3 a^{-9} +3 a^2 z^2-13 z^2 a^{-2} -22 z^2 a^{-4} -17 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} +z^2-a z+3 z a^{-3} +3 z a^{-5} -z a^{-9} -a^2+2 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} } |
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