Song Question

Rating: 6/10 (19 February 2005)

I saw the movie today and it was about what I expected. Not great, but not terrible. Some of it seemed a little too simple, like Constantine kicking Angela out of his apartment one second and then chasing after her and suddenly wanting to help the next. Also, for someone who was convinced there were some kind of weird things going on with her sister, and someone who was such a devote Catholic, how could she not believe in the devil? Also, it got a little questionable towards the end. The whole thing with Gabrielle kind of stumped me.
On a side note, does anyone know the name of the jazz-sounding song (heavy saxophone) playing on the record when the Beeman character makes his first appearance? I've heard it before in several places but I have no idea of either the name nor the artist. Any help would be much appreciated!