K13n2928

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Polynomial invariants

Jones polynomial Data:K13n2928/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+13 t^2-29 t+39-29 t^{-1} +13 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2928/Conway Polynomial
Determinant 129
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-2 z^4 a^4-z^2 a^4+a^4-2 z^6 a^2-7 z^4 a^2-10 z^2 a^2-5 a^2+3 z^4+6 z^2+4-z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+10 a^4 z^{10}+6 a^2 z^{10}+3 a^7 z^9+6 a^3 z^9+9 a z^9+a^8 z^8-16 a^6 z^8-35 a^4 z^8-11 a^2 z^8+7 z^8-14 a^7 z^7-21 a^5 z^7-37 a^3 z^7-28 a z^7+2 z^7 a^{-1} -5 a^8 z^6+19 a^6 z^6+33 a^4 z^6-11 a^2 z^6-20 z^6+21 a^7 z^5+26 a^5 z^5+37 a^3 z^5+34 a z^5+2 z^5 a^{-1} +8 a^8 z^4-10 a^6 z^4-14 a^4 z^4+30 a^2 z^4+5 z^4 a^{-2} +31 z^4-11 a^7 z^3-6 a^5 z^3-12 a^3 z^3-20 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2+5 a^6 z^2+3 a^4 z^2-23 a^2 z^2-3 z^2 a^{-2} -20 z^2+a^7 z-a^5 z+a^3 z+5 a z+2 z a^{-1} -a^6+a^4+5 a^2+4 }[/math]



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