K13n1173

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Polynomial invariants

Jones polynomial Data:K13n1173/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-11 t^2+28 t-37+28 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1173/Conway Polynomial
Determinant 119
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +3 z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -z^4+6 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -2 z^2+4 a^{-2} -2 a^{-4} -1 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +7 z^9 a^{-5} +7 z^9 a^{-7} -9 z^8 a^{-2} -21 z^8 a^{-4} -5 z^8 a^{-6} +7 z^8 a^{-8} -3 z^7 a^{-1} -13 z^7 a^{-3} -32 z^7 a^{-5} -18 z^7 a^{-7} +4 z^7 a^{-9} +26 z^6 a^{-2} +35 z^6 a^{-4} -8 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +3 z^6+a z^5+11 z^5 a^{-1} +40 z^5 a^{-3} +52 z^5 a^{-5} +12 z^5 a^{-7} -10 z^5 a^{-9} -30 z^4 a^{-2} -21 z^4 a^{-4} +15 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} -8 z^4-3 a z^3-17 z^3 a^{-1} -38 z^3 a^{-3} -32 z^3 a^{-5} -4 z^3 a^{-7} +4 z^3 a^{-9} +15 z^2 a^{-2} +7 z^2 a^{-4} -5 z^2 a^{-6} -3 z^2 a^{-8} +6 z^2+2 a z+7 z a^{-1} +11 z a^{-3} +7 z a^{-5} +z a^{-7} -4 a^{-2} -2 a^{-4} -1 }[/math]



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