\[ 0.5 x^2 + 2 x z^2 + 5 y^6 + 15 y^4 + 0.5 z^2 - (15 y^5 + 5 y^3)\]
- degree 6
- no singular curves, but two singular points.
I love this surface. I had to hunt for the correct equation for it, and emailed Herwig Hauser about it, which was fun. Also, I like the way it makes me feel when I look at it. I like it so much, I put it on my CV this application season.