tzina, with the aid of a 3D grapher I was able to to come up with some contour lines.
for each value of , you get a unique set of contour lines, but each set of lines has similar features to them
.Set in increments of . For example : etc.
For each value of you can create one contour line.
When the contour line will show up as a straight line
if , .
You will have the line