K13n3250

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Polynomial invariants

Jones polynomial Data:K13n3250/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^2+11 t-15+11 t^{-1} -3 t^{-2} }[/math]
Conway polynomial Data:K13n3250/Conway Polynomial
Determinant 43
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}+a^{10}-z^4 a^8-z^2 a^8-2 z^4 a^6-5 z^2 a^6-4 a^6+3 z^2 a^4+3 a^4+z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-6 z^6 a^{12}+11 z^4 a^{12}-6 z^2 a^{12}+2 z^9 a^{11}-11 z^7 a^{11}+18 z^5 a^{11}-10 z^3 a^{11}+2 z a^{11}+2 z^{10} a^{10}-10 z^8 a^{10}+14 z^6 a^{10}-8 z^4 a^{10}+4 z^2 a^{10}-a^{10}+z^{11} a^9-4 z^9 a^9+5 z^7 a^9-11 z^5 a^9+15 z^3 a^9-5 z a^9+3 z^{10} a^8-16 z^8 a^8+29 z^6 a^8-29 z^4 a^8+13 z^2 a^8+z^{11} a^7-6 z^9 a^7+18 z^7 a^7-38 z^5 a^7+38 z^3 a^7-15 z a^7+z^{10} a^6-5 z^8 a^6+9 z^6 a^6-8 z^4 a^6-2 z^2 a^6+4 a^6+2 z^7 a^5-9 z^5 a^5+14 z^3 a^5-8 z a^5+2 z^4 a^4-4 z^2 a^4+3 a^4+z^3 a^3+z^2 a^2-a^2 }[/math]



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