K13n3926

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Polynomial invariants

Jones polynomial Data:K13n3926/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:K13n3926/Conway Polynomial
Determinant 121
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-2 z^6-3 a^4 z^4+9 a^2 z^4+z^4 a^{-2} -8 z^4-2 a^4 z^2+7 a^2 z^2+3 z^2 a^{-2} -10 z^2+2 a^2+2 a^{-2} -3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+9 a^2 z^{10}+4 z^{10}+6 a^5 z^9+a^3 z^9-2 a z^9+3 z^9 a^{-1} +4 a^6 z^8-14 a^4 z^8-35 a^2 z^8+z^8 a^{-2} -16 z^8+a^7 z^7-20 a^5 z^7-19 a^3 z^7-8 a z^7-10 z^7 a^{-1} -14 a^6 z^6+8 a^4 z^6+54 a^2 z^6+32 z^6-3 a^7 z^5+16 a^5 z^5+25 a^3 z^5+21 a z^5+18 z^5 a^{-1} +3 z^5 a^{-3} +12 a^6 z^4-4 a^4 z^4-42 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -28 z^4+2 a^7 z^3-4 a^5 z^3-18 a^3 z^3-15 a z^3-8 z^3 a^{-1} -5 z^3 a^{-3} -a^6 z^2+a^4 z^2+13 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +17 z^2+a^5 z+4 a^3 z+4 a z+2 z a^{-1} +z a^{-3} -2 a^2-2 a^{-2} -3 }[/math]



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