K14n15630

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Polynomial invariants

Jones polynomial Data:K14n15630/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K14n15630/Conway Polynomial
Determinant Data:K14n15630/Determinant
Signature Data:K14n15630/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}+a^{10}-2 z^4 a^8-3 z^2 a^8-a^8+z^6 a^6+2 z^4 a^6+z^2 a^6-2 a^6-z^4 a^4+z^2 a^4+2 a^4-z^6 a^2-4 z^4 a^2-2 z^2 a^2+a^2+z^4+2 z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-3 z^2 a^{12}+3 z^9 a^{11}-14 z^7 a^{11}+18 z^5 a^{11}-9 z^3 a^{11}+2 z a^{11}+5 z^{10} a^{10}-24 z^8 a^{10}+34 z^6 a^{10}-24 z^4 a^{10}+10 z^2 a^{10}-a^{10}+4 z^{11} a^9-16 z^9 a^9+12 z^7 a^9-3 z^5 a^9+6 z^3 a^9-4 z a^9+z^{12} a^8+5 z^{10} a^8-48 z^8 a^8+92 z^6 a^8-78 z^4 a^8+28 z^2 a^8-a^8+6 z^{11} a^7-32 z^9 a^7+50 z^7 a^7-43 z^5 a^7+31 z^3 a^7-16 z a^7+z^{12} a^6+z^{10} a^6-37 z^8 a^6+91 z^6 a^6-86 z^4 a^6+28 z^2 a^6+2 a^6+3 z^{11} a^5-20 z^9 a^5+32 z^7 a^5-21 z^5 a^5+17 z^3 a^5-12 z a^5+4 z^{10} a^4-33 z^8 a^4+70 z^6 a^4-60 z^4 a^4+21 z^2 a^4+2 a^4+z^{11} a^3-4 z^9 a^3-9 z^7 a^3+26 z^5 a^3-10 z^3 a^3-2 z a^3+3 z^{10} a^2-18 z^8 a^2+27 z^6 a^2-15 z^4 a^2+6 z^2 a^2-a^2+3 z^9 a-17 z^7 a+25 z^5 a-11 z^3 a+z^8-5 z^6+6 z^4-2 z^2 }[/math]



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