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You can use splines to interpolate. For example:

sage: from sage.gsl.all import spline
sage: values = [ (x,sin(x)) for x in range(10)]
sage: interpolation = spline(values)
sage: interpolation(2.5)
0.59648316868924223
sage: sin(2.5)
0.598472144103957
sage: plot(interpolation,(0,10)) + list_plot(values) + plot(sin,(0,10),color='red')