Maxima returned an empty solution set for the algebraic system of 4 equations shown in the attached file. The system has 8 solutions (real and complex) and MAPLE was able to find them (through MATLAB).
file with system 0f Solvable 4 algebraic equations
This artifact has been marked as a duplicate of artifact 2754973 with reason: apparent resubmission
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file with system 0f Solvable 4 algebraic equations
This artifact has been marked as a duplicate of artifact 2754973 with reason:
apparent resubmission