K13n2054

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Polynomial invariants

Jones polynomial Data:K13n2054/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+15 t^2-32 t+41-32 t^{-1} +15 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2054/Conway Polynomial
Determinant 141
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^6 a^{-6} -z^6 a^{-8} +3 z^4 a^{-4} -6 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +7 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-10} +4 a^{-4} -3 a^{-6} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +6 z^{10} a^{-8} +5 z^{10} a^{-10} +z^9 a^{-7} +10 z^9 a^{-9} +9 z^9 a^{-11} -12 z^8 a^{-8} -4 z^8 a^{-10} +8 z^8 a^{-12} +3 z^7 a^{-5} -z^7 a^{-7} -29 z^7 a^{-9} -21 z^7 a^{-11} +4 z^7 a^{-13} +2 z^6 a^{-6} +14 z^6 a^{-8} -7 z^6 a^{-10} -18 z^6 a^{-12} +z^6 a^{-14} -z^5 a^{-5} +6 z^5 a^{-7} +32 z^5 a^{-9} +17 z^5 a^{-11} -8 z^5 a^{-13} +5 z^4 a^{-4} +6 z^4 a^{-6} -6 z^4 a^{-8} +5 z^4 a^{-10} +10 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-7} -19 z^3 a^{-9} -13 z^3 a^{-11} +3 z^3 a^{-13} -9 z^2 a^{-4} -10 z^2 a^{-6} +3 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +z^2 a^{-14} -3 z a^{-5} +8 z a^{-9} +5 z a^{-11} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math]



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