Dokchitser Project for Sage Days 11

From Jen:

Here's the version (closest to Dokchitser's original pari code) that still uses continued fraction approximation:

(needs to run:

The version with Pade approximation ( has a negligible speedup but only really works for low precision. I'm not sure if Pade gives us a means of computing bounds (I think Mike Rubinstein said that continued fractions won't). Also, doesn't work for imaginary inputs yet - some coercion with SymbolicRing that I didn't try.