K13n1482

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Polynomial invariants

Jones polynomial Data:K13n1482/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+17 t-25+17 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K13n1482/Conway Polynomial
Determinant 67
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^8+3 z^2 a^6+2 a^6-2 z^4 a^4-2 z^2 a^4-a^4-2 z^4 a^2-2 z^2 a^2+2 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+a^7 z^9+4 a^5 z^9+3 a^3 z^9-3 a^6 z^8+3 a^2 z^8-3 a^7 z^7-14 a^5 z^7-10 a^3 z^7+a z^7+3 a^8 z^6+9 a^6 z^6-a^4 z^6-7 a^2 z^6+a^9 z^5+9 a^7 z^5+26 a^5 z^5+21 a^3 z^5+3 a z^5-7 a^8 z^4-12 a^6 z^4+2 a^4 z^4+10 a^2 z^4+3 z^4-3 a^9 z^3-13 a^7 z^3-19 a^5 z^3-17 a^3 z^3-8 a z^3+3 a^8 z^2+7 a^6 z^2+3 a^4 z^2-6 a^2 z^2-5 z^2+2 a^9 z+4 a^7 z+5 a^5 z+5 a^3 z+2 a z-a^8-2 a^6-a^4+1 }[/math]



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