K13n3504

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Polynomial invariants

Jones polynomial Data:K13n3504/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+15 t^2-33 t+41-33 t^{-1} +15 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3504/Conway Polynomial
Determinant 141
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^2 a^{10}-3 a^{10}+3 z^4 a^8+6 z^2 a^8+3 a^8-z^6 a^6+3 z^2 a^6+a^6-z^6 a^4-z^4 a^4+z^2 a^4+z^4 a^2+z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 z^5 a^{13}-9 z^3 a^{13}+6 z a^{13}+z^8 a^{12}-2 z^4 a^{12}-z^2 a^{12}+2 z^9 a^{11}-3 z^7 a^{11}+5 z^5 a^{11}-7 z^3 a^{11}+2 z a^{11}+2 z^{10} a^{10}-z^8 a^{10}-4 z^6 a^{10}+16 z^4 a^{10}-16 z^2 a^{10}+3 a^{10}+z^{11} a^9+3 z^9 a^9-6 z^7 a^9+2 z^5 a^9+10 z^3 a^9-5 z a^9+6 z^{10} a^8-11 z^8 a^8+7 z^6 a^8+7 z^4 a^8-7 z^2 a^8+3 a^8+z^{11} a^7+8 z^9 a^7-21 z^7 a^7+16 z^5 a^7-z a^7+4 z^{10} a^6-2 z^8 a^6-6 z^6 a^6-z^4 a^6+5 z^2 a^6-a^6+7 z^9 a^5-14 z^7 a^5+7 z^5 a^5-4 z^3 a^5+7 z^8 a^4-16 z^6 a^4+8 z^4 a^4-2 z^2 a^4+4 z^7 a^3-9 z^5 a^3+4 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math]



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