K13n2104

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Polynomial invariants

Jones polynomial Data:K13n2104/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-3 t^3+4 t^2-t-1- t^{-1} +4 t^{-2} -3 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2104/Conway Polynomial
Determinant 17
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+17 z^4 a^{-2} -6 z^4 a^{-4} -5 z^4+19 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -7 z^2+8 a^{-2} -4 a^{-4} -3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a z^9-4 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} -28 z^8 a^{-2} -14 z^8 a^{-4} -14 z^8-7 a z^7-5 z^7 a^{-1} -5 z^7 a^{-3} -7 z^7 a^{-5} +63 z^6 a^{-2} +31 z^6 a^{-4} +32 z^6+16 a z^5+31 z^5 a^{-1} +28 z^5 a^{-3} +13 z^5 a^{-5} -61 z^4 a^{-2} -33 z^4 a^{-4} -2 z^4 a^{-6} -30 z^4-14 a z^3-32 z^3 a^{-1} -28 z^3 a^{-3} -10 z^3 a^{-5} +31 z^2 a^{-2} +19 z^2 a^{-4} +z^2 a^{-6} +13 z^2+4 a z+10 z a^{-1} +10 z a^{-3} +2 z a^{-5} -2 z a^{-7} -8 a^{-2} -4 a^{-4} -3 }[/math]



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