K12a1016

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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^6-4 q^5+9 q^4-15 q^3+22 q^2-26 q+28-26 q^{-1} +20 q^{-2} -14 q^{-3} +8 q^{-4} -3 q^{-5} + q^{-6} }
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 -4 t^3+18 t^2-40 t+53-40 t^{-1} +18 t^{-2} -4 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 -4 z^6-6 z^4-4 z^2+1}
Determinant 177
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 -a^2 z^6-z^6 a^{-2} -2 z^6+a^4 z^4-2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -5 z^4+2 a^4 z^2-3 a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -5 z^2+2 a^4-2 a^2+2 a^{-2} -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 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+6 z^{10} a^{-2} +11 z^{10}+7 a^3 z^9+7 a z^9+9 z^9 a^{-1} +9 z^9 a^{-3} +6 a^4 z^8-5 a^2 z^8-7 z^8 a^{-2} +8 z^8 a^{-4} -26 z^8+3 a^5 z^7-17 a^3 z^7-26 a z^7-32 z^7 a^{-1} -22 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-16 a^4 z^6-7 a^2 z^6-6 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +26 z^6-7 a^5 z^5+19 a^3 z^5+36 a z^5+37 z^5 a^{-1} +18 z^5 a^{-3} -9 z^5 a^{-5} -3 a^6 z^4+16 a^4 z^4+19 a^2 z^4+11 z^4 a^{-2} +16 z^4 a^{-4} -2 z^4 a^{-6} -7 z^4+3 a^5 z^3-15 a^3 z^3-23 a z^3-15 z^3 a^{-1} -7 z^3 a^{-3} +3 z^3 a^{-5} +2 a^6 z^2-10 a^4 z^2-15 a^2 z^2-z^2 a^{-2} -5 z^2 a^{-4} +z^2+5 a^3 z+7 a z+3 z a^{-1} +z a^{-3} +2 a^4+2 a^2-2 a^{-2} -1}



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