K12a1080
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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^{10}-4 q^9+10 q^8-17 q^7+24 q^6-30 q^5+31 q^4-29 q^3+24 q^2-16 q+10-4 q^{-1} + q^{-2} } |
| 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 t^4-8 t^3+24 t^2-42 t+51-42 t^{-1} +24 t^{-2} -8 t^{-3} + 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 z^8-4 z^4-2 z^2+1} |
| Determinant | 201 |
| Signature | 4 |
| 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^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -2 z^6 a^{-6} -6 z^4 a^{-2} +6 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +z^4-4 z^2 a^{-2} +3 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2+ a^{-2} - a^{-4} - a^{-6} + a^{-8} +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 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +17 z^{10} a^{-4} +11 z^{10} a^{-6} +4 z^9 a^{-1} +5 z^9 a^{-3} +20 z^9 a^{-5} +19 z^9 a^{-7} -20 z^8 a^{-2} -49 z^8 a^{-4} -7 z^8 a^{-6} +21 z^8 a^{-8} +z^8-16 z^7 a^{-1} -50 z^7 a^{-3} -86 z^7 a^{-5} -35 z^7 a^{-7} +17 z^7 a^{-9} +14 z^6 a^{-2} +24 z^6 a^{-4} -40 z^6 a^{-6} -36 z^6 a^{-8} +10 z^6 a^{-10} -4 z^6+21 z^5 a^{-1} +70 z^5 a^{-3} +90 z^5 a^{-5} +15 z^5 a^{-7} -22 z^5 a^{-9} +4 z^5 a^{-11} +8 z^4 a^{-2} +18 z^4 a^{-4} +43 z^4 a^{-6} +19 z^4 a^{-8} -7 z^4 a^{-10} +z^4 a^{-12} +6 z^4-10 z^3 a^{-1} -30 z^3 a^{-3} -40 z^3 a^{-5} -10 z^3 a^{-7} +10 z^3 a^{-9} -6 z^2 a^{-2} -8 z^2 a^{-4} -16 z^2 a^{-6} -7 z^2 a^{-8} +3 z^2 a^{-10} -4 z^2+z a^{-1} +6 z a^{-3} +10 z a^{-5} +4 z a^{-7} -z a^{-9} - a^{-2} - a^{-4} + a^{-6} + a^{-8} +1} |
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