  Let G be a linear algebraic group, not necessarily connected or reductive,
over the field of real numbers R. We describe a method, implemented on
computer, to find the first Galois cohomology set H^1(R,G). The output is a
list of 1-cocycles in G. Moreover, we have an implemented algorithm that, given
a 1-cocycle z in Z^1(R,G), finds the cocycle in the computed list to which z is
equivalent, together with an element of G(C) realizing the equivalence.
