K13n3952

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Polynomial invariants

Jones polynomial Data:K13n3952/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-11 t^2+16 t-17+16 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3952/Conway Polynomial
Determinant 83
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+3 z^4 a^{-2} -7 z^4+a^2 z^2+z^2 a^{-2} -z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+3 z^{10} a^{-2} +8 z^{10}+4 a^3 z^9-2 a z^9-5 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-23 a^2 z^8-12 z^8 a^{-2} -36 z^8-19 a^3 z^7-21 a z^7-2 z^7 a^{-1} -4 a^4 z^6+28 a^2 z^6+16 z^6 a^{-2} +2 z^6 a^{-4} +46 z^6+25 a^3 z^5+34 a z^5+z^5 a^{-1} -8 z^5 a^{-3} +4 a^4 z^4-8 a^2 z^4-13 z^4 a^{-2} -3 z^4 a^{-4} -22 z^4-8 a^3 z^3-9 a z^3+6 z^3 a^{-1} +10 z^3 a^{-3} +3 z^3 a^{-5} -a^4 z^2-a^2 z^2+2 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +z^2-a^3 z-3 a z-5 z a^{-1} -4 z a^{-3} -z a^{-5} +a^2+ a^{-2} +3 }[/math]



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