K13n1919

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Polynomial invariants

Jones polynomial Data:K13n1919/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-3 t^2-2 t+7-2 t^{-1} -3 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1919/Conway Polynomial
Determinant 1
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4+6 z^4-3 a^4 z^2+2 a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +9 z^2-a^4-a^2-3 a^{-2} +6 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10}+a^5 z^9-5 a^3 z^9-6 a z^9-14 a^4 z^8-21 a^2 z^8+z^8 a^{-2} -6 z^8-7 a^5 z^7+a^3 z^7+7 a z^7+z^7 a^{-1} +2 z^7 a^{-3} +31 a^4 z^6+42 a^2 z^6-5 z^6 a^{-2} +2 z^6 a^{-4} +4 z^6+16 a^5 z^5+18 a^3 z^5+a z^5-9 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -26 a^4 z^4-27 a^2 z^4+8 z^4 a^{-2} -6 z^4 a^{-4} +13 z^4-14 a^5 z^3-20 a^3 z^3+a z^3+15 z^3 a^{-1} +5 z^3 a^{-3} -3 z^3 a^{-5} +8 a^4 z^2+3 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} -15 z^2+4 a^5 z+5 a^3 z-2 a z-6 z a^{-1} -2 z a^{-3} +z a^{-5} -a^4+a^2+3 a^{-2} +6 }[/math]



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