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Sage is a mathematical software system, and this tag is intended for questions involving this software in a substantive way. This tag should hardly ever be the only tag of a question; typically there should be additional tags to indicate the mathematical content of the question. Please note that questions that are purely support-questions on Sage are not a good fit for this site.
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Finding relations between invariant polynomials
As mentioned in Sturmfel's book, it can be done in any computational environment by finding the Gröbner basis of the invariants with respect to lexicographic ordering.
For instance, if you have invar …