K13n3470

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Polynomial invariants

Jones polynomial Data:K13n3470/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-10 t^2+28 t-39+28 t^{-1} -10 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n3470/Conway Polynomial
Determinant 119
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} +3 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4 a^{-8} -z^2 a^{-2} +6 z^2 a^{-4} +3 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +3 a^{-4} + a^{-6} -2 a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +10 z^{10} a^{-8} +5 z^{10} a^{-10} +6 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +4 z^9 a^{-11} +5 z^8 a^{-4} -12 z^8 a^{-6} -40 z^8 a^{-8} -22 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-3} -16 z^7 a^{-5} -30 z^7 a^{-7} -31 z^7 a^{-9} -19 z^7 a^{-11} -14 z^6 a^{-4} +5 z^6 a^{-6} +52 z^6 a^{-8} +29 z^6 a^{-10} -4 z^6 a^{-12} -2 z^5 a^{-3} +15 z^5 a^{-5} +42 z^5 a^{-7} +52 z^5 a^{-9} +27 z^5 a^{-11} +4 z^4 a^{-2} +22 z^4 a^{-4} -z^4 a^{-6} -37 z^4 a^{-8} -14 z^4 a^{-10} +4 z^4 a^{-12} +z^3 a^{-1} +6 z^3 a^{-3} -6 z^3 a^{-5} -31 z^3 a^{-7} -30 z^3 a^{-9} -10 z^3 a^{-11} -3 z^2 a^{-2} -13 z^2 a^{-4} +14 z^2 a^{-8} +4 z^2 a^{-10} -z a^{-1} -2 z a^{-3} +z a^{-5} +9 z a^{-7} +6 z a^{-9} -z a^{-11} + a^{-2} +3 a^{-4} - a^{-6} -2 a^{-8} }[/math]



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