K13n3296

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Polynomial invariants

Jones polynomial Data:K13n3296/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-6 t^3+16 t^2-27 t+33-27 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3296/Conway Polynomial
Determinant 133
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} -7 z^4-2 a^4 z^2+6 a^2 z^2+2 z^2 a^{-2} -7 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+7 a^4 z^{10}+13 a^2 z^{10}+6 z^{10}+7 a^5 z^9-a^3 z^9-4 a z^9+4 z^9 a^{-1} +4 a^6 z^8-25 a^4 z^8-55 a^2 z^8+z^8 a^{-2} -25 z^8+a^7 z^7-26 a^5 z^7-29 a^3 z^7-14 a z^7-12 z^7 a^{-1} -14 a^6 z^6+24 a^4 z^6+83 a^2 z^6+3 z^6 a^{-2} +48 z^6-3 a^7 z^5+25 a^5 z^5+49 a^3 z^5+39 a z^5+22 z^5 a^{-1} +4 z^5 a^{-3} +10 a^6 z^4-10 a^4 z^4-52 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} -38 z^4+a^7 z^3-9 a^5 z^3-27 a^3 z^3-27 a z^3-15 z^3 a^{-1} -5 z^3 a^{-3} -a^6 z^2+2 a^4 z^2+12 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +13 z^2+a^5 z+4 a^3 z+5 a z+3 z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math]



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