K13n2251

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Polynomial invariants

Jones polynomial Data:K13n2251/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K13n2251/Conway Polynomial
Determinant 63
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}-z^4 a^8+a^8-2 z^4 a^6-3 z^2 a^6-2 a^6-z^4 a^4+2 z^2 a^2+2 a^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}-16 z^7 a^{11}+25 z^5 a^{11}-13 z^3 a^{11}+2 z a^{11}+3 z^{10} a^{10}-14 z^8 a^{10}+16 z^6 a^{10}-3 z^4 a^{10}-z^2 a^{10}+z^{11} a^9+z^9 a^9-23 z^7 a^9+40 z^5 a^9-22 z^3 a^9+4 z a^9+5 z^{10} a^8-23 z^8 a^8+28 z^6 a^8-10 z^4 a^8-2 z^2 a^8+a^8+z^{11} a^7-16 z^7 a^7+29 z^5 a^7-20 z^3 a^7+4 z a^7+2 z^{10} a^6-7 z^8 a^6+3 z^6 a^6+7 z^4 a^6-9 z^2 a^6+2 a^6+2 z^9 a^5-9 z^7 a^5+15 z^5 a^5-12 z^3 a^5+4 z a^5+z^8 a^4-4 z^6 a^4+7 z^4 a^4-3 z^2 a^4+z^5 a^3-z^3 a^3+2 z a^3+2 z^2 a^2-2 a^2 }[/math]



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