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Gröbner
Gröbner bases calculations are complex operations. Even some apparently simple nonlinear systems can lead to extremely complex bases, with high-degree equations and large coefficients. Needless to say, these calculations can be time-consuming, and not all systems can be solved within the memory and speed limits of the HP48.
ALG48 uses the user flag number 1 as a verbose mode flag. When the flag is set the Gröbner commands display some messages on the top three lines of the screen while they execute. The messages describe the operations that the command is currently performing. This allows the user to monitor the progresses the calculator is making toward a solution. If it becomes apparent that a solution cannot be obtained in a reasonable amount of time, the command can be aborted as usual, by pressing the CANCEL (ON) key.