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answered 2012-07-07 10:42:41 +0100
sage: from sympy import Symbol, residue sage: x = Symbol("x") sage: t = Symbol("t") sage: residue(x/((4*x - 1)*(t^2 - t + x)),t,(1-sqrt(1-4*x))/2) -x/((-4*x + 1)**(1/2)*(4*x - 1))