K13n3364

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Polynomial invariants

Jones polynomial Data:K13n3364/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+3 t^3-t^2-4 t+7-4 t^{-1} - t^{-2} +3 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3364/Conway Polynomial
Determinant 5
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +5 z^4 a^{-4} -10 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +7 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} -2 a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -3 z^8 a^{-6} -6 z^8 a^{-8} +z^8 a^{-10} +3 z^8 a^{-12} -11 z^7 a^{-5} -20 z^7 a^{-7} -16 z^7 a^{-9} -4 z^7 a^{-11} +3 z^7 a^{-13} -6 z^6 a^{-4} -8 z^6 a^{-6} +4 z^6 a^{-8} -7 z^6 a^{-10} -12 z^6 a^{-12} +z^6 a^{-14} +16 z^5 a^{-5} +35 z^5 a^{-7} +33 z^5 a^{-9} +3 z^5 a^{-11} -11 z^5 a^{-13} +12 z^4 a^{-4} +23 z^4 a^{-6} +7 z^4 a^{-8} +8 z^4 a^{-10} +9 z^4 a^{-12} -3 z^4 a^{-14} -6 z^3 a^{-5} -21 z^3 a^{-7} -26 z^3 a^{-9} -4 z^3 a^{-11} +7 z^3 a^{-13} -10 z^2 a^{-4} -13 z^2 a^{-6} -4 z^2 a^{-8} -3 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +5 z a^{-7} +7 z a^{-9} +2 z a^{-11} +3 a^{-4} +2 a^{-6} }[/math]



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