I've seen randomized errors in the ModularSymbols stuff. I'm pretty sure that you are using linbox under the hood somewhere, which employs some probabilistic algorithms. It seems like we are setting the random seed to a fixed value, but linbox has a bad habit of re-seeding the rng and/or using unitialized memory. Also, the results that Sage presents you are (mostly) stable because Sage caches the result. Unfortunately I haven't gotten to the core of the linbox issues yet.
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