K12a1078
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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+4 q^6-11 q^5+21 q^4-32 q^3+41 q^2-44 q+43-35 q^{-1} +25 q^{-2} -14 q^{-3} +5 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^4-11 t^3+32 t^2-58 t+71-58 t^{-1} +32 t^{-2} -11 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+5 z^6+6 z^4+3 z^2+1} |
| Determinant | 277 |
| 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+4 z^6 a^{-2} -z^6 a^{-4} +3 z^6-2 a^2 z^4+8 z^4 a^{-2} -3 z^4 a^{-4} +3 z^4-2 a^2 z^2+8 z^2 a^{-2} -4 z^2 a^{-4} +z^2-a^2+3 a^{-2} -2 a^{-4} +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 4 z^{11} a^{-1} +4 z^{11} a^{-3} +24 z^{10} a^{-2} +9 z^{10} a^{-4} +15 z^{10}+25 a z^9+33 z^9 a^{-1} +16 z^9 a^{-3} +8 z^9 a^{-5} +24 a^2 z^8-41 z^8 a^{-2} -15 z^8 a^{-4} +4 z^8 a^{-6} +2 z^8+14 a^3 z^7-34 a z^7-86 z^7 a^{-1} -59 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +5 a^4 z^6-35 a^2 z^6+5 z^6 a^{-2} +z^6 a^{-4} -11 z^6 a^{-6} -47 z^6+a^5 z^5-13 a^3 z^5+7 a z^5+54 z^5 a^{-1} +53 z^5 a^{-3} +17 z^5 a^{-5} -3 z^5 a^{-7} -a^4 z^4+20 a^2 z^4+6 z^4 a^{-2} +5 z^4 a^{-4} +10 z^4 a^{-6} +32 z^4+6 a^3 z^3+5 a z^3-10 z^3 a^{-1} -18 z^3 a^{-3} -6 z^3 a^{-5} +3 z^3 a^{-7} -6 a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} -6 z^2-2 a^3 z-3 a z+3 z a^{-3} +z a^{-5} -z a^{-7} +a^2-3 a^{-2} -2 a^{-4} +1} |
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