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MatPlotLib or if you're a java person to for javafx
Python495637dQliksense but I have no idea how their pricing or licensing model works.
check their sandboxes on the tutorial
you can't "find data relationships programatically" as some kind of a search problem, because the logic you need to implement for that inference presupposes that you know what these relationships are
for data science, Google Colab is your Jupyter Lab but hosted
For visualisation as a service, Metabase, you need a data source of course