K12a1014
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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^7+3 q^6-7 q^5+13 q^4-19 q^3+25 q^2-27 q+26-22 q^{-1} +16 q^{-2} -9 q^{-3} +4 q^{-4} - q^{-5} } |
| 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^2-34 t+41-34 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+z^2+1} |
| Determinant | 173 |
| 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^8 a^{-2} +z^8-a^2 z^6+5 z^6 a^{-2} -z^6 a^{-4} +4 z^6-3 a^2 z^4+10 z^4 a^{-2} -4 z^4 a^{-4} +4 z^4-2 a^2 z^2+10 z^2 a^{-2} -5 z^2 a^{-4} -2 z^2+a^2+5 a^{-2} -2 a^{-4} -3} |
| 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^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +5 z^{10} a^{-4} +6 z^{10}+10 a z^9+9 z^9 a^{-1} +4 z^9 a^{-3} +5 z^9 a^{-5} +11 a^2 z^8-32 z^8 a^{-2} -16 z^8 a^{-4} +3 z^8 a^{-6} -2 z^8+8 a^3 z^7-14 a z^7-28 z^7 a^{-1} -25 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-18 a^2 z^6+47 z^6 a^{-2} +24 z^6 a^{-4} -11 z^6 a^{-6} -10 z^6+a^5 z^5-11 a^3 z^5+4 a z^5+27 z^5 a^{-1} +38 z^5 a^{-3} +23 z^5 a^{-5} -4 z^5 a^{-7} -5 a^4 z^4+11 a^2 z^4-47 z^4 a^{-2} -26 z^4 a^{-4} +11 z^4 a^{-6} +6 z^4-a^5 z^3+4 a^3 z^3+5 a z^3-11 z^3 a^{-1} -30 z^3 a^{-3} -15 z^3 a^{-5} +4 z^3 a^{-7} +a^4 z^2-2 a^2 z^2+24 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} +7 z^2-a^3 z-2 a z+2 z a^{-1} +7 z a^{-3} +4 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3} |
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