K13n1598

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Polynomial invariants

Jones polynomial Data:K13n1598/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^2-12 t+19-12 t^{-1} +3 t^{-2} }[/math]
Conway polynomial Data:K13n1598/Conway Polynomial
Determinant 49
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +4 z^2 a^{-2} -z^2 a^{-6} -3 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10}-5 z^9 a^{-1} -z^9 a^{-3} +4 z^9 a^{-5} -23 z^8 a^{-2} -13 z^8 a^{-4} +3 z^8 a^{-6} -7 z^8+6 z^7 a^{-1} -13 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +44 z^6 a^{-2} +14 z^6 a^{-4} -13 z^6 a^{-6} +17 z^6-a z^5+z^5 a^{-1} +27 z^5 a^{-3} +21 z^5 a^{-5} -4 z^5 a^{-7} -a^2 z^4-38 z^4 a^{-2} -7 z^4 a^{-4} +13 z^4 a^{-6} -19 z^4+2 a z^3-4 z^3 a^{-1} -19 z^3 a^{-3} -10 z^3 a^{-5} +3 z^3 a^{-7} +2 a^2 z^2+16 z^2 a^{-2} +3 z^2 a^{-4} -3 z^2 a^{-6} +12 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math]



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