K13n3482

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Polynomial invariants

Jones polynomial Data:K13n3482/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-6 t^3+15 t^2-24 t+29-24 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3482/Conway Polynomial
Determinant 121
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^8 a^{-2} +4 z^6 a^{-2} -z^6 a^{-4} -z^6+3 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4-4 z^2 a^{-2} +z^2 a^{-4} +z^2-4 a^{-2} +2 a^{-4} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10}+a z^9-z^9 a^{-1} +7 z^9 a^{-3} +9 z^9 a^{-5} -36 z^8 a^{-2} -19 z^8 a^{-4} +5 z^8 a^{-6} -12 z^8-4 a z^7-19 z^7 a^{-1} -47 z^7 a^{-3} -31 z^7 a^{-5} +z^7 a^{-7} +34 z^6 a^{-2} +2 z^6 a^{-4} -15 z^6 a^{-6} +17 z^6+10 a z^5+40 z^5 a^{-1} +57 z^5 a^{-3} +25 z^5 a^{-5} -2 z^5 a^{-7} +2 a^2 z^4+2 z^4 a^{-2} +11 z^4 a^{-4} +8 z^4 a^{-6} +z^4-5 a z^3-22 z^3 a^{-1} -22 z^3 a^{-3} -5 z^3 a^{-5} -a^2 z^2-14 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -8 z^2+a z+3 z a^{-1} +z a^{-3} -z a^{-5} +4 a^{-2} +2 a^{-4} +3 }[/math]



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