K13n2128

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Polynomial invariants

Jones polynomial Data:K13n2128/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+16 t^2-34 t+43-34 t^{-1} +16 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2128/Conway Polynomial
Determinant 149
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^{-10} +7 z^2 a^{-4} -8 z^2 a^{-6} +4 z^2 a^{-8} +4 a^{-4} -5 a^{-6} +3 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} +11 z^9 a^{-9} +10 z^9 a^{-11} -9 z^8 a^{-8} +z^8 a^{-10} +10 z^8 a^{-12} +3 z^7 a^{-5} +z^7 a^{-7} -26 z^7 a^{-9} -19 z^7 a^{-11} +5 z^7 a^{-13} +2 z^6 a^{-6} +4 z^6 a^{-8} -21 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} -z^5 a^{-5} +z^5 a^{-7} +14 z^5 a^{-9} +3 z^5 a^{-11} -9 z^5 a^{-13} +5 z^4 a^{-4} +9 z^4 a^{-6} +9 z^4 a^{-8} +15 z^4 a^{-10} +9 z^4 a^{-12} -z^4 a^{-14} +3 z^3 a^{-7} +5 z^3 a^{-9} +4 z^3 a^{-11} +2 z^3 a^{-13} -9 z^2 a^{-4} -15 z^2 a^{-6} -9 z^2 a^{-8} -3 z^2 a^{-10} -2 z a^{-5} -3 z a^{-7} -3 z a^{-9} -2 z a^{-11} +4 a^{-4} +5 a^{-6} +3 a^{-8} + a^{-10} }[/math]



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