K13n3328

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Polynomial invariants

Jones polynomial Data:K13n3328/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+9 t^2-17 t+21-17 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3328/Conway Polynomial
Determinant 77
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2+z^4+2 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+4 a^7 z^9-2 a^5 z^9-5 a^3 z^9+a z^9+a^8 z^8-23 a^6 z^8-37 a^4 z^8-13 a^2 z^8-19 a^7 z^7-23 a^5 z^7-6 a^3 z^7-2 a z^7-4 a^8 z^6+27 a^6 z^6+46 a^4 z^6+16 a^2 z^6+z^6+25 a^7 z^5+39 a^5 z^5+12 a^3 z^5-2 a z^5+4 a^8 z^4-7 a^6 z^4-18 a^4 z^4-8 a^2 z^4-z^4-9 a^7 z^3-13 a^5 z^3-3 a^3 z^3+3 a z^3+2 z^3 a^{-1} -a^8 z^2-a^6 z^2-2 a^2 z^2+z^2 a^{-2} -z^2-a^7 z-a^5 z-a^3 z-2 a z-z a^{-1} +a^6+2 a^4+a^2+1 }[/math]



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