My very first solution, also around 140 strokes, used trigonometry.
I'm a different animal from Andrew, I think, and I prefer solutions that make some sense, rather than a magic formula, or unpacking a bizarre string :)
The first solution has ints on both indicies, uses .524 (which I think is a closer approximation of the hours to radians factor than .52), brackets around everthing - generally a mess.
I was relatively quickly able to get rid of most of the bracketing, eventually got rid of one int, (then much later the other!), and trimmed the numbers to fit.
I think the best bit of golfing was to change
5.5-4.7*cos($_*=.523) to $_*=.523,5.5-4.7*cos. It was one of those "I don't think this will work but I may as well try it" moments! Hurrah!
There are quite a large range of numbers that produce the correct pattern, but only a few with the least number of decimals. I think this is fairly optimal. I'm going to assume(!!) that Andrew has tried and failed to better this.