K13n112

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Polynomial invariants

Jones polynomial Data:K13n112/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+14 t-23+14 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n112/Conway Polynomial
Determinant 55
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+a^{10}-z^4 a^8-z^4 a^6-a^6+3 z^2 a^4+2 a^4+z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+17 z^5 a^{13}-17 z^3 a^{13}+6 z a^{13}+2 z^{10} a^{12}-13 z^8 a^{12}+28 z^6 a^{12}-24 z^4 a^{12}+8 z^2 a^{12}-a^{12}+z^{11} a^{11}-2 z^9 a^{11}-14 z^7 a^{11}+44 z^5 a^{11}-38 z^3 a^{11}+9 z a^{11}+5 z^{10} a^{10}-28 z^8 a^{10}+47 z^6 a^{10}-28 z^4 a^{10}+7 z^2 a^{10}-a^{10}+z^{11} a^9+z^9 a^9-26 z^7 a^9+51 z^5 a^9-32 z^3 a^9+7 z a^9+3 z^{10} a^8-12 z^8 a^8+8 z^6 a^8+3 z^4 a^8-z^2 a^8+4 z^9 a^7-18 z^7 a^7+24 z^5 a^7-17 z^3 a^7+5 z a^7+3 z^8 a^6-11 z^6 a^6+11 z^4 a^6-7 z^2 a^6+a^6+z^7 a^5-4 z^3 a^5+z a^5+4 z^4 a^4-6 z^2 a^4+2 a^4+2 z^3 a^3+z^2 a^2 }[/math]



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