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!