K13n3444

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Polynomial invariants

Jones polynomial Data:K13n3444/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+11 t^2-26 t+35-26 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3444/Conway Polynomial
Determinant 113
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +z^4+2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +6 z^9 a^{-1} +6 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -21 z^8 a^{-2} -43 z^8 a^{-4} -19 z^8 a^{-6} +z^8 a^{-8} +2 z^8-24 z^7 a^{-1} -52 z^7 a^{-3} -46 z^7 a^{-5} -18 z^7 a^{-7} +20 z^6 a^{-2} +45 z^6 a^{-4} +16 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+a z^5+33 z^5 a^{-1} +80 z^5 a^{-3} +73 z^5 a^{-5} +25 z^5 a^{-7} -11 z^4 a^{-2} -19 z^4 a^{-4} +z^4 a^{-6} +5 z^4 a^{-8} +4 z^4+a z^3-18 z^3 a^{-1} -49 z^3 a^{-3} -42 z^3 a^{-5} -12 z^3 a^{-7} +a^2 z^2+8 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2+4 z a^{-1} +10 z a^{-3} +8 z a^{-5} +2 z a^{-7} -a^2-3 a^{-2} - a^{-4} -2 }[/math]



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