K13n1794

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Polynomial invariants

Jones polynomial Data:K13n1794/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-7 t^3+22 t^2-40 t+49-40 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n1794/Conway Polynomial
Determinant 189
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +4 z^6 a^{-6} -2 z^6 a^{-8} -z^4 a^{-4} +5 z^4 a^{-6} -5 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +5 a^{-4} -6 a^{-6} +2 a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +12 z^{10} a^{-8} +8 z^{10} a^{-10} +2 z^9 a^{-5} +5 z^9 a^{-7} +16 z^9 a^{-9} +13 z^9 a^{-11} -9 z^8 a^{-6} -26 z^8 a^{-8} -6 z^8 a^{-10} +11 z^8 a^{-12} +z^7 a^{-5} -14 z^7 a^{-7} -48 z^7 a^{-9} -28 z^7 a^{-11} +5 z^7 a^{-13} +6 z^6 a^{-4} +23 z^6 a^{-6} +28 z^6 a^{-8} -13 z^6 a^{-10} -23 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} -2 z^5 a^{-5} +14 z^5 a^{-7} +42 z^5 a^{-9} +17 z^5 a^{-11} -8 z^5 a^{-13} -8 z^4 a^{-4} -21 z^4 a^{-6} -17 z^4 a^{-8} +7 z^4 a^{-10} +10 z^4 a^{-12} -z^4 a^{-14} -z^3 a^{-3} +3 z^3 a^{-5} +6 z^3 a^{-7} -5 z^3 a^{-9} -6 z^3 a^{-11} +z^3 a^{-13} -3 z^2 a^{-4} -z^2 a^{-6} +7 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} -6 z a^{-5} -11 z a^{-7} -5 z a^{-9} +5 a^{-4} +6 a^{-6} +2 a^{-8} }[/math]



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