K13n2206

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Polynomial invariants

Jones polynomial Data:K13n2206/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+3 t^3-4 t^2+4 t-3+4 t^{-1} -4 t^{-2} +3 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2206/Conway Polynomial
Determinant 27
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-4} -11 z^4+4 a^2 z^2+2 z^2 a^{-4} -7 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9-7 a z^9-9 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-22 a^2 z^8-19 z^8 a^{-2} +z^8 a^{-4} -43 z^8-16 a^3 z^7-8 a z^7-6 z^7 a^{-3} +2 z^7 a^{-5} -5 a^4 z^6+33 a^2 z^6+30 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +75 z^6+23 a^3 z^5+32 a z^5+21 z^5 a^{-1} +2 z^5 a^{-3} -10 z^5 a^{-5} +6 a^4 z^4-19 a^2 z^4-16 z^4 a^{-2} +4 z^4 a^{-4} -4 z^4 a^{-6} -49 z^4-12 a^3 z^3-22 a z^3-15 z^3 a^{-1} +4 z^3 a^{-3} +9 z^3 a^{-5} -2 a^4 z^2+6 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} +13 z^2+2 a^3 z+4 a z+2 z a^{-1} -z a^{-3} -z a^{-5} -a^2- a^{-2} -1 }[/math]



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