  We give a new example of a curve C algebraically, but not rationally,
uniformized by radicals. This means that C has no map onto the projective line
P^1 with solvable Galois group, while there exists a curve C' that maps onto C
and has a finite morphism to P^1 with solvable Galois group. We construct such
a curve C of genus 9 in the second symmetric product of a general curve of
genus 2. It is also an example of a genus 9 curve that does not satisfy
condition S(4,2,9) of Abramovich and Harris.
