K13n1988

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Polynomial invariants

Jones polynomial Data:K13n1988/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -7 t^2+26 t-37+26 t^{-1} -7 t^{-2} }[/math]
Conway polynomial Data:K13n1988/Conway Polynomial
Determinant 103
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -3 z^4 a^{-2} -3 z^4 a^{-4} -z^4+a^2 z^2-3 z^2 a^{-2} -4 z^2 a^{-4} +4 z^2 a^{-6} +a^2-2 a^{-4} +3 a^{-6} - a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-7} -8 z^8 a^{-2} -18 z^8 a^{-4} -7 z^8 a^{-6} +3 z^8+2 a z^7-14 z^7 a^{-1} -21 z^7 a^{-3} -5 z^7 a^{-5} +a^2 z^6+6 z^6 a^{-2} +31 z^6 a^{-4} +20 z^6 a^{-6} +4 z^6 a^{-8} -8 z^6-6 a z^5+21 z^5 a^{-1} +43 z^5 a^{-3} +17 z^5 a^{-5} +2 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4+6 z^4 a^{-2} -21 z^4 a^{-4} -27 z^4 a^{-6} -8 z^4 a^{-8} +4 z^4+3 a z^3-17 z^3 a^{-1} -29 z^3 a^{-3} -16 z^3 a^{-5} -9 z^3 a^{-7} -2 z^3 a^{-9} +4 a^2 z^2-6 z^2 a^{-2} +10 z^2 a^{-4} +14 z^2 a^{-6} +3 z^2 a^{-8} -z^2+4 z a^{-1} +7 z a^{-3} +5 z a^{-5} +3 z a^{-7} +z a^{-9} -a^2-2 a^{-4} -3 a^{-6} - a^{-8} }[/math]



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