K13n3950

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Polynomial invariants

Jones polynomial Data:K13n3950/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-10 t^2+11 t-9+11 t^{-1} -10 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3950/Conway Polynomial
Determinant 63
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+4 z^4 a^{-2} -7 z^4+a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} -3 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+3 z^{10} a^{-2} +8 z^{10}+4 a^3 z^9-3 a z^9-6 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-24 a^2 z^8-16 z^8 a^{-2} -41 z^8-19 a^3 z^7-21 a z^7-7 z^7 a^{-1} -5 z^7 a^{-3} -4 a^4 z^6+30 a^2 z^6+24 z^6 a^{-2} +58 z^6+24 a^3 z^5+39 a z^5+19 z^5 a^{-1} +4 z^5 a^{-3} +4 a^4 z^4-10 a^2 z^4-17 z^4 a^{-2} -3 z^4 a^{-4} -28 z^4-8 a^3 z^3-15 a z^3-7 z^3 a^{-1} -z^3 a^{-3} -z^3 a^{-5} -a^4 z^2-a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+1 }[/math]



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