K13n3652

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Polynomial invariants

Jones polynomial Data:K13n3652/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+13 t^2-33 t+45-33 t^{-1} +13 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3652/Conway Polynomial
Determinant 141
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-z^4 a^2-z^2 a^2-a^2-z^6-z^4+1+z^4 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+10 a^2 z^{10}+6 z^{10}+4 a^5 z^9+2 a^3 z^9+4 a z^9+6 z^9 a^{-1} +3 a^6 z^8-8 a^4 z^8-33 a^2 z^8+2 z^8 a^{-2} -20 z^8+a^7 z^7-10 a^5 z^7-18 a^3 z^7-26 a z^7-19 z^7 a^{-1} -11 a^6 z^6-2 a^4 z^6+44 a^2 z^6+z^6 a^{-2} +36 z^6-4 a^7 z^5+a^5 z^5+19 a^3 z^5+44 a z^5+35 z^5 a^{-1} +5 z^5 a^{-3} +12 a^6 z^4+6 a^4 z^4-29 a^2 z^4+z^4 a^{-4} -24 z^4+5 a^7 z^3+6 a^5 z^3-11 a^3 z^3-29 a z^3-22 z^3 a^{-1} -5 z^3 a^{-3} -5 a^6 z^2-5 a^4 z^2+4 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +4 z^2-2 a^7 z-2 a^5 z+3 a^3 z+6 a z+4 z a^{-1} +z a^{-3} +a^6+2 a^4+a^2+1 }[/math]



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