K13n4103

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Polynomial invariants

Jones polynomial Data:K13n4103/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+14 t^2-28 t+35-28 t^{-1} +14 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n4103/Conway Polynomial
Determinant 125
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-z^6 a^8-z^4 a^8+2 z^2 a^8+2 a^8-2 z^6 a^6-7 z^4 a^6-10 z^2 a^6-6 a^6+3 z^4 a^4+8 z^2 a^4+5 a^4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-9 z^5 a^{13}+4 z^3 a^{13}+7 z^8 a^{12}-16 z^6 a^{12}+7 z^4 a^{12}-z^2 a^{12}+7 z^9 a^{11}-15 z^7 a^{11}+9 z^5 a^{11}-7 z^3 a^{11}+2 z a^{11}+4 z^{10} a^{10}-4 z^8 a^{10}-2 z^6 a^{10}-2 z^4 a^{10}+2 z^2 a^{10}+z^{11} a^9+6 z^9 a^9-18 z^7 a^9+19 z^5 a^9-7 z^3 a^9+z a^9+5 z^{10} a^8-12 z^8 a^8+16 z^6 a^8-5 z^4 a^8-z^2 a^8+2 a^8+z^{11} a^7-z^9 a^7+4 z^7 a^7-3 z^5 a^7+8 z^3 a^7-5 z a^7+z^{10} a^6-z^8 a^6+z^6 a^6+11 z^4 a^6-16 z^2 a^6+6 a^6+3 z^7 a^5-4 z^5 a^5+4 z^3 a^5-4 z a^5+5 z^4 a^4-11 z^2 a^4+5 a^4 }[/math]



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