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Does this help?

sage: p = implicit_plot(x == y^2, (x, 0, 1), (y, 0, 1))
sage: pc = p._objects[0]
sage: pc.xy_data_array
# Big output here

Similarly for plot

sage: p = plot(x)
sage: pc = p._objects[0]
sage: pc.xdata, pc.ydata