K12a1082
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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+23 q^6-28 q^5+29 q^4-26 q^3+21 q^2-14 q+8-3 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+23 t^2-38 t+45-38 t^{-1} +23 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^8-5 z^4-2 z^2+1} |
| Determinant | 185 |
| 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} -7 z^4 a^{-2} +6 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +z^4-7 z^2 a^{-2} +5 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +3 z^2-2 a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} +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 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +12 z^{10} a^{-4} +8 z^{10} a^{-6} +3 z^9 a^{-1} +5 z^9 a^{-3} +18 z^9 a^{-5} +16 z^9 a^{-7} -12 z^8 a^{-2} -29 z^8 a^{-4} +4 z^8 a^{-6} +20 z^8 a^{-8} +z^8-13 z^7 a^{-1} -38 z^7 a^{-3} -65 z^7 a^{-5} -23 z^7 a^{-7} +17 z^7 a^{-9} +3 z^6 a^{-2} -52 z^6 a^{-6} -34 z^6 a^{-8} +10 z^6 a^{-10} -5 z^6+19 z^5 a^{-1} +50 z^5 a^{-3} +55 z^5 a^{-5} -3 z^5 a^{-7} -23 z^5 a^{-9} +4 z^5 a^{-11} +17 z^4 a^{-2} +29 z^4 a^{-4} +47 z^4 a^{-6} +18 z^4 a^{-8} -7 z^4 a^{-10} +z^4 a^{-12} +9 z^4-10 z^3 a^{-1} -19 z^3 a^{-3} -17 z^3 a^{-5} +4 z^3 a^{-7} +12 z^3 a^{-9} -13 z^2 a^{-2} -13 z^2 a^{-4} -16 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} -7 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} -z a^{-7} -2 z a^{-9} +2 a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} +2} |
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