Computing Galois cohomology of a real linear algebraic group

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