Exporting from Sage to Macaulay2

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Thanks! This works with a+b, however

macaulay2(f'matrix {{a},{b}}')

yields an error, "SyntaxError: f-string: single '}' is not allowed" - how can I make them into a matrix?

You need to double every { or } that you need in the command - like macaulay2(f'matrix {{{a},{b}}}')

No! This answer is not the right thing to do. It fails in all but the most basic examples because it relies on Macaulay2 understanding the string representation of Sage objects. Instead, you would usually write

macaulay2(a) + macaulay2(b)

In cases in which you need to pass the operation + as string to Macaulay2, you can use

macaulay2('%s + %s' % (macaulay2(a).name(), macaulay2(b).name()))

Here, .name() gives you the name of the identifier that represents the object in the Macaulay2 interpreter.

@mwageringel: My answer addresses the specific question posed by the OP. You basically saying that the OP should not do things the way shown in the question. It's a valid concern, but strictly speaking it is irrelevant to my answer. Also, it'd be more informative if you add your comment as yet another answer. Relatedly, you'd probably not like how the OP deals with macaulay2 in another question: https://ask.sagemath.org/question/61045/ and may have suggestions on how to improve the approach there.

IMO, it would be better to correct the existing answer which has already been accepted. Otherwise it might encourage similar usage as seen in the linked question. It is irrelevant to the linked question though, since the speed problem there is not due to the Sage-Macaulay2 conversion, but it is a result of the computation in Macaulay2 itself being slow.