K13n2734

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Polynomial invariants

Jones polynomial Data:K13n2734/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+4 t^3-8 t^2+12 t-13+12 t^{-1} -8 t^{-2} +4 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2734/Conway Polynomial
Determinant 63
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+4 a^2 z^4+5 z^4 a^{-2} -13 z^4+5 a^2 z^2+9 z^2 a^{-2} -z^2 a^{-4} -13 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9-4 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-22 z^8 a^{-2} -42 z^8-15 a^3 z^7-17 a z^7-13 z^7 a^{-1} -11 z^7 a^{-3} -5 a^4 z^6+24 a^2 z^6+37 z^6 a^{-2} +66 z^6+22 a^3 z^5+39 a z^5+34 z^5 a^{-1} +17 z^5 a^{-3} +7 a^4 z^4-12 a^2 z^4-31 z^4 a^{-2} -3 z^4 a^{-4} -47 z^4-13 a^3 z^3-26 a z^3-24 z^3 a^{-1} -13 z^3 a^{-3} -2 z^3 a^{-5} -3 a^4 z^2+5 a^2 z^2+17 z^2 a^{-2} +4 z^2 a^{-4} +21 z^2+3 a^3 z+7 a z+7 z a^{-1} +5 z a^{-3} +2 z a^{-5} -2 a^2-6 a^{-2} -2 a^{-4} -5 }[/math]



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