K13n2164

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Polynomial invariants

Jones polynomial Data:K13n2164/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+2 t^2+6 t-11+6 t^{-1} +2 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2164/Conway Polynomial
Determinant 15
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -5 z^4 a^{-2} -6 z^4 a^{-4} +z^4-5 z^2 a^{-2} -7 z^2 a^{-4} +3 z^2 a^{-6} +z^2 a^{-8} +4 z^2-2 a^{-2} -2 a^{-4} +2 a^{-6} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} -8 z^9 a^{-3} -9 z^9 a^{-5} -6 z^8 a^{-2} -17 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +z^8-6 z^7 a^{-1} +22 z^7 a^{-3} +28 z^7 a^{-5} +2 z^7 a^{-7} +2 z^7 a^{-9} +7 z^6 a^{-2} +47 z^6 a^{-4} +30 z^6 a^{-6} -2 z^6 a^{-8} +z^6 a^{-10} -7 z^6+8 z^5 a^{-1} -32 z^5 a^{-3} -37 z^5 a^{-5} -5 z^5 a^{-7} -8 z^5 a^{-9} +4 z^4 a^{-2} -53 z^4 a^{-4} -40 z^4 a^{-6} -2 z^4 a^{-8} -4 z^4 a^{-10} +15 z^4+28 z^3 a^{-3} +21 z^3 a^{-5} +z^3 a^{-7} +8 z^3 a^{-9} -6 z^2 a^{-2} +24 z^2 a^{-4} +16 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2 a^{-10} -12 z^2-2 z a^{-1} -7 z a^{-3} -5 z a^{-5} -z a^{-7} -z a^{-9} +2 a^{-2} -2 a^{-4} -2 a^{-6} +3 }[/math]



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