K13n14

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Polynomial invariants

Jones polynomial Data:K13n14/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -5 t^2+20 t-29+20 t^{-1} -5 t^{-2} }[/math]
Conway polynomial Data:K13n14/Conway Polynomial
Determinant 79
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-z^2 a^2+a^2-z^4-z^2-1+z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+4 a^4 z^{10}+2 a^2 z^{10}+a^7 z^9-3 a^5 z^9-2 a^3 z^9+2 a z^9-11 a^6 z^8-20 a^4 z^8-7 a^2 z^8+2 z^8-3 a^7 z^7+2 a^5 z^7-a^3 z^7-4 a z^7+2 z^7 a^{-1} +3 a^8 z^6+30 a^6 z^6+44 a^4 z^6+12 a^2 z^6+z^6 a^{-2} -4 z^6+a^9 z^5+8 a^7 z^5+12 a^5 z^5+11 a^3 z^5-a z^5-7 z^5 a^{-1} -8 a^8 z^4-34 a^6 z^4-37 a^4 z^4-10 a^2 z^4-4 z^4 a^{-2} -3 z^4-3 a^9 z^3-12 a^7 z^3-15 a^5 z^3-8 a^3 z^3+4 a z^3+6 z^3 a^{-1} +5 a^8 z^2+14 a^6 z^2+13 a^4 z^2+5 a^2 z^2+4 z^2 a^{-2} +5 z^2+2 a^9 z+4 a^7 z+4 a^5 z+2 a^3 z-2 a z-2 z a^{-1} -a^8-2 a^6-a^4-a^2- a^{-2} -1 }[/math]



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