K13n2607

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Polynomial invariants

Jones polynomial Data:K13n2607/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+16 t^2-35 t+45-35 t^{-1} +16 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2607/Conway Polynomial
Determinant 153
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} +3 z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} -4 z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} + a^{-2} + a^{-4} - a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +6 z^{10} a^{-8} +2 z^{10} a^{-10} +6 z^9 a^{-5} +10 z^9 a^{-7} +5 z^9 a^{-9} +z^9 a^{-11} +5 z^8 a^{-4} -4 z^8 a^{-8} +z^8 a^{-10} +3 z^7 a^{-3} -10 z^7 a^{-5} -24 z^7 a^{-7} -6 z^7 a^{-9} +5 z^7 a^{-11} +z^6 a^{-2} -9 z^6 a^{-4} -12 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^6 a^{-12} -7 z^5 a^{-3} +5 z^5 a^{-5} +22 z^5 a^{-7} +2 z^5 a^{-9} -7 z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} +3 z^4 a^{-4} +14 z^4 a^{-6} +10 z^4 a^{-8} -4 z^4 a^{-10} -6 z^4 a^{-12} +4 z^3 a^{-3} -2 z^3 a^{-5} -9 z^3 a^{-7} -2 z^3 a^{-9} -z^3 a^{-13} +3 z^2 a^{-2} -z^2 a^{-4} -8 z^2 a^{-6} -4 z^2 a^{-8} -z a^{-5} +z a^{-7} +3 z a^{-9} +z a^{-11} - a^{-2} + a^{-4} + a^{-6} }[/math]



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