K13n4143

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Polynomial invariants

Jones polynomial Data:K13n4143/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+7 t^3-14 t^2+17 t-17+17 t^{-1} -14 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n4143/Conway Polynomial
Determinant 95
Signature -6
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^{12}+z^6 a^{10}+3 z^4 a^{10}-2 a^{10}-z^8 a^8-4 z^6 a^8-3 z^4 a^8+z^2 a^8+a^8+2 z^6 a^6+8 z^4 a^6+8 z^2 a^6+2 a^6 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 z^3 a^{15}-z a^{15}+z^6 a^{14}+6 z^4 a^{14}-3 z^2 a^{14}+4 z^7 a^{13}+z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+7 z^8 a^{12}-12 z^6 a^{12}+10 z^4 a^{12}-2 z^2 a^{12}+5 z^9 a^{11}-6 z^7 a^{11}+z^5 a^{11}-2 z^3 a^{11}+z^{10} a^{10}+10 z^8 a^{10}-29 z^6 a^{10}+21 z^4 a^{10}-9 z^2 a^{10}+2 a^{10}+6 z^9 a^9-9 z^7 a^9-8 z^5 a^9+9 z^3 a^9-2 z a^9+z^{10} a^8+3 z^8 a^8-13 z^6 a^8+8 z^4 a^8-2 z^2 a^8+a^8+z^9 a^7+z^7 a^7-8 z^5 a^7+5 z^3 a^7+z a^7+3 z^6 a^6-9 z^4 a^6+8 z^2 a^6-2 a^6 }[/math]



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