For my Memoir titled
Basic Global Relative Invariants for Homogeneous Linear Differential Equations
and published as Number 744 by the American Mathematical Society in March of 2002, a check on the theoretical deductions was provided by the computations presented there on pages 28--30. They were written for Version 3.0 of MATHEMATICA and run efficiently on that version. Versions 7.0, 8.0, and 9.0 also reliably run those programs. Version 6.0 should very definitely be avoided.
For a Mathematica notebook using exactly the commands of pages 28-30 written for Version 3.0 and correcty evaluated with Version 4.0, click here.
For an evaluted modification of the preceding noitebook obtained by first removing an unnecessary Together command, click here.