K13n1732

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Polynomial invariants

Jones polynomial Data:K13n1732/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-6 t^2+12 t-15+12 t^{-1} -6 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1732/Conway Polynomial
Determinant 55
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^6 a^{-6} -z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} -2 z^2 a^{-4} +16 z^2 a^{-6} -9 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +7 a^{-6} -6 a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +2 z^9 a^{-5} -4 z^9 a^{-7} -2 z^9 a^{-9} +4 z^9 a^{-11} -24 z^8 a^{-6} -50 z^8 a^{-8} -25 z^8 a^{-10} +z^8 a^{-12} -13 z^7 a^{-5} -26 z^7 a^{-7} -33 z^7 a^{-9} -20 z^7 a^{-11} +44 z^6 a^{-6} +79 z^6 a^{-8} +31 z^6 a^{-10} -4 z^6 a^{-12} +25 z^5 a^{-5} +70 z^5 a^{-7} +71 z^5 a^{-9} +26 z^5 a^{-11} -4 z^4 a^{-4} -41 z^4 a^{-6} -49 z^4 a^{-8} -9 z^4 a^{-10} +3 z^4 a^{-12} -2 z^3 a^{-3} -25 z^3 a^{-5} -58 z^3 a^{-7} -45 z^3 a^{-9} -10 z^3 a^{-11} +4 z^2 a^{-4} +23 z^2 a^{-6} +20 z^2 a^{-8} -z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +16 z a^{-7} +10 z a^{-9} - a^{-4} -7 a^{-6} -6 a^{-8} - a^{-10} }[/math]



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