K13n2875

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Polynomial invariants

Jones polynomial Data:K13n2875/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+15 t^2-34 t+45-34 t^{-1} +15 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2875/Conway Polynomial
Determinant 149
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-2 a^2 z^4+4 z^4 a^{-2} -6 z^4+2 a^4 z^2-2 a^2 z^2+9 z^2 a^{-2} -2 z^2 a^{-4} -8 z^2+a^4+6 a^{-2} -2 a^{-4} -4 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+6 a^3 z^9+10 a z^9+7 z^9 a^{-1} +3 z^9 a^{-3} +5 a^4 z^8-4 a^2 z^8-4 z^8 a^{-2} +z^8 a^{-4} -14 z^8+3 a^5 z^7-15 a^3 z^7-34 a z^7-20 z^7 a^{-1} -4 z^7 a^{-3} +a^6 z^6-12 a^4 z^6-2 a^2 z^6+12 z^6 a^{-2} +4 z^6 a^{-4} +19 z^6-8 a^5 z^5+19 a^3 z^5+53 a z^5+30 z^5 a^{-1} +7 z^5 a^{-3} +3 z^5 a^{-5} -3 a^6 z^4+9 a^4 z^4+7 a^2 z^4-25 z^4 a^{-2} -12 z^4 a^{-4} -18 z^4+5 a^5 z^3-16 a^3 z^3-39 a z^3-24 z^3 a^{-1} -12 z^3 a^{-3} -6 z^3 a^{-5} +2 a^6 z^2-4 a^4 z^2-6 a^2 z^2+21 z^2 a^{-2} +8 z^2 a^{-4} +13 z^2+5 a^3 z+10 a z+8 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^4-6 a^{-2} -2 a^{-4} -4 }[/math]



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