K13n2097

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Polynomial invariants

Jones polynomial Data:K13n2097/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 6 t^2-26 t+41-26 t^{-1} +6 t^{-2} }[/math]
Conway polynomial Data:K13n2097/Conway Polynomial
Determinant 105
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^4-3 z^2 a^2-a^2+2 z^4+3 z^4 a^{-2} +3 z^2 a^{-2} + a^{-2} +z^4 a^{-4} -z^2 a^{-4} -z^2 a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+2 a z^9+z^9 a^{-1} +3 z^9 a^{-3} +4 z^9 a^{-5} +a^2 z^8-15 z^8 a^{-2} -7 z^8 a^{-4} +3 z^8 a^{-6} -4 z^8-5 a z^7-6 z^7 a^{-1} -16 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} -a^2 z^6+20 z^6 a^{-2} +z^6 a^{-4} -12 z^6 a^{-6} +6 z^6+3 a^3 z^5+12 a z^5+9 z^5 a^{-1} +18 z^5 a^{-3} +14 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4+6 a^2 z^4-19 z^4 a^{-2} +z^4 a^{-4} +14 z^4 a^{-6} -z^4-4 a^3 z^3-7 a z^3-6 z^3 a^{-1} -14 z^3 a^{-3} -7 z^3 a^{-5} +4 z^3 a^{-7} -2 a^4 z^2-6 a^2 z^2+8 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} +z^2+a^3 z+a z+3 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^4+a^2- a^{-2} }[/math]



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