D[InverseEllipticNomeQ[z], {z, 3}] == (-(8/(Pi^6 z^3))) EllipticK[InverseEllipticNomeQ[z]]^2 (-1 + InverseEllipticNomeQ[z]) InverseEllipticNomeQ[z] (Pi^4 - 6 Pi^2 EllipticE[InverseEllipticNomeQ[z]] EllipticK[InverseEllipticNomeQ[z]] - 24 EllipticE[InverseEllipticNomeQ[z]] EllipticK[InverseEllipticNomeQ[z]]^3 InverseEllipticNomeQ[z] + 4 EllipticK[InverseEllipticNomeQ[z]]^4 (1 + InverseEllipticNomeQ[z]) (-1 + 2 InverseEllipticNomeQ[z]) + 6 EllipticK[InverseEllipticNomeQ[z]]^2 (2 EllipticE[InverseEllipticNomeQ[z]]^2 + Pi^2 InverseEllipticNomeQ[z]))

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2007-05-02