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### Plotting an element in a polynomial ideal

I have a polynomial ring in three variables:

P.<x,y,z> = PolynomialRing(QQ)


and I've eliminated the variable t in an ideal generated by several polynomials to obtain an implicit function in just x and y. I'd like to plot this function. But the plot method, applied to an ideal in just two variables, produces the error:

ValueError: Variable 't' not found


So either I need somehow to introduce this variable into the plot, or pull the function out of the polynomial ring so that it can be plotted as a function of real variables with implicit_plot. But I'm not sure how to do either...any advice would be most helpful!