I'd like to be able to compute symmetric powers of matrices in Sage. Singular has a function for the kth symmetric power of a matrix A, namely symmetricPower(A,k) (https://www.singular.uni-kl.de/Manual/4-0-3/sing_1107.htm#SEC1182). So it seems one should just take a Sage matrix, convert it to a singular matrix, take its symmetric power, and then convert back. I tried singular.symmetricPower(A._singular_(),k) for A a Sage matrix, but the interface complains that A is not of the correct type. It seems that A._singular_() should be a matrix over a specified ring, and ._singular_() doesn't create that ring. Any suggestions?
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