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Im trying to better understand ideals of rings and I think being able to visualize what I'm working with would help. I want to graph them (I'm talking mostly about quadratic rings), but I don't know which program would be good for plotting ideals where multiple entries are required.

For example, trying to plot the ideal $(1+\sqrt{-5})$ of $Z[\sqrt{-5}]$ requires me to do all this in desmos (unless theres some other trick I dont know about) enter image description here But I really wish there was a program where I could more easily plot this. Any help appreciated!

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  • $\begingroup$ This assumes your ring is a subset of $\mathbb R\times \mathbb R$. In general I think it is more enlightening to draw the lattice of ideals by containment to make a Hasse diagram , rather than elements as points. $\endgroup$ – rschwieb Mar 20 at 22:19

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